Details

analyze0.0ms (0%)

Algorithm

1×

Search

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

Compiler

Compiled 4 to 3 computations (25% saved)

sample572.0ms (11.5%)

Results

562.0ms

8256×

body

256

valid

Bogosity

preprocess6.0ms (0.1%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(asinh.f64 x)

Outputs
(asinh.f64 x)

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

4×	`+-commutative`
2×	`1-exp`
2×	`hypot-1-def`
2×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	18	27
2	19	27

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

Outputs

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

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

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

eval1.0ms (0%)

Compiler: Compiled 33 to 20 computations (39.4% saved)

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

28.5b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	28.5b	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x))) x)

Compiler

Compiled 10 to 7 computations (30% saved)

localize14.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (fabs.f64 x) (hypot.f64 1 x))
✓	1.7b	(log.f64 (+.f64 (fabs.f64 x) (hypot.f64 1 x)))

Compiler

Compiled 30 to 17 computations (43.3% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite58.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1658×	`add-sqr-sqrt`
1644×	`*-un-lft-identity`
1528×	`add-cube-cbrt`
1512×	`add-cbrt-cube`
180×	`pow1`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	38
1	179	30
2	2257	30

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

Outputs

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

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

simplify56.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1328×	`fma-def`
958×	`unswap-sqr`
774×	`distribute-lft-in`
732×	`distribute-rgt-in`
570×	`associate-/r*`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	2492
1	597	2214
2	2199	1982

Stop Event

1×	node limit

Counts

82 → 148

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x))))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) x)) (.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 x 3))))))
(+.f64 1 (fabs.f64 x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (fabs.f64 x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x))))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x)))))
x
(+.f64 (fabs.f64 x) x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(*.f64 -1 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (fabs.f64 x) (.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)

Outputs
(log.f64 (+.f64 1 (fabs.f64 x)))
(log1p.f64 (fabs.f64 x))
(log1p.f64 x)
(+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))
(fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))
(fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (*.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x)))))
(fma.f64 -1/24 (.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/2 (/.f64 (.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x))))
(fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x)))
(+.f64 (.f64 -1/24 (.f64 (+.f64 (.f64 3 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (.f64 3 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 4))) (+.f64 (.f64 1/720 (.f64 (+.f64 (.f64 45 (/.f64 1 (+.f64 1 (fabs.f64 x)))) (+.f64 (.f64 30 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 3))) (.f64 45 (/.f64 1 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))))) (pow.f64 x 6))) (+.f64 (.f64 1/2 (/.f64 (pow.f64 x 2) (+.f64 1 (fabs.f64 x)))) (log.f64 (+.f64 1 (fabs.f64 x))))))
(fma.f64 -1/24 (.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/720 (.f64 (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (+.f64 (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3)) (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)))) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))))
(fma.f64 -1/24 (.f64 (+.f64 (/.f64 3 (+.f64 1 (fabs.f64 x))) (/.f64 3 (pow.f64 (+.f64 1 (fabs.f64 x)) 2))) (pow.f64 x 4)) (fma.f64 1/720 (.f64 (+.f64 (/.f64 45 (pow.f64 (+.f64 1 (fabs.f64 x)) 2)) (+.f64 (/.f64 45 (+.f64 1 (fabs.f64 x))) (/.f64 30 (pow.f64 (+.f64 1 (fabs.f64 x)) 3)))) (pow.f64 x 6)) (fma.f64 1/2 (/.f64 (*.f64 x x) (+.f64 1 (fabs.f64 x))) (log1p.f64 (fabs.f64 x)))))
(fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (pow.f64 x 6) (fma.f64 1/720 (+.f64 (/.f64 45 (+.f64 1 x)) (/.f64 30 (pow.f64 (+.f64 1 x) 3))) (/.f64 1/16 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (neg.f64 (log.f64 x)))
(log.f64 x)
(+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))
(fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x))
(+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))
(+.f64 1 (log.f64 x))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (*.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x)))
(fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (*.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x)))
(fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x)))
(+.f64 1 (fma.f64 (/.f64 1/2 x) (/.f64 (-.f64 1 (*.f64 x x)) x) (log.f64 x)))
(+.f64 (.f64 1/6 (/.f64 (+.f64 (.f64 -3 (fabs.f64 x)) (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3))) (+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (/.f64 (fabs.f64 x) x))))
(fma.f64 1/6 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (.f64 (fabs.f64 x) -3)) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 x x)) (fma.f64 -1 (neg.f64 (log.f64 x)) (/.f64 (fabs.f64 x) x))))
(fma.f64 1/6 (/.f64 (fma.f64 (fabs.f64 x) -3 (.f64 2 (pow.f64 (fabs.f64 x) 3))) (pow.f64 x 3)) (fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (*.f64 x x)) (+.f64 (log.f64 x) (/.f64 (fabs.f64 x) x))))
(+.f64 1 (fma.f64 1/6 (/.f64 (fma.f64 2 (pow.f64 x 3) (.f64 x -3)) (pow.f64 x 3)) (fma.f64 (/.f64 1/2 x) (/.f64 (-.f64 1 (.f64 x x)) x) (log.f64 x))))
(*.f64 -1 (log.f64 (/.f64 -1 x)))
(neg.f64 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x)))
(*.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (fabs.f64 x) x)))
(-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x))
(-.f64 -1 (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (.f64 -1 (/.f64 (fabs.f64 x) x))))
(fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 x x)) (.f64 -1 (+.f64 (log.f64 (/.f64 -1 x)) (/.f64 (fabs.f64 x) x))))
(fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (/.f64 (fabs.f64 x) x)))
(-.f64 (fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) -1) (log.f64 (/.f64 -1 x)))
(+.f64 (.f64 1/2 (/.f64 (+.f64 1 (.f64 -1 (pow.f64 (fabs.f64 x) 2))) (pow.f64 x 2))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 -1 (/.f64 (fabs.f64 x) x)) (.f64 -1/6 (/.f64 (+.f64 (.f64 2 (pow.f64 (fabs.f64 x) 3)) (*.f64 -3 (fabs.f64 x))) (pow.f64 x 3))))))
(fma.f64 1/2 (/.f64 (+.f64 1 (neg.f64 (pow.f64 (fabs.f64 x) 2))) (.f64 x x)) (fma.f64 -1 (log.f64 (/.f64 -1 x)) (fma.f64 -1 (/.f64 (fabs.f64 x) x) (.f64 -1/6 (/.f64 (fma.f64 2 (pow.f64 (fabs.f64 x) 3) (*.f64 (fabs.f64 x) -3)) (pow.f64 x 3))))))
(fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (-.f64 (/.f64 (.f64 -1/6 (fma.f64 (fabs.f64 x) -3 (.f64 2 (pow.f64 (fabs.f64 x) 3)))) (pow.f64 x 3)) (/.f64 (fabs.f64 x) x)) (log.f64 (/.f64 -1 x))))
(-.f64 (fma.f64 1/2 (/.f64 (-.f64 1 (.f64 x x)) (.f64 x x)) (fma.f64 -1/6 (/.f64 (fma.f64 2 (pow.f64 x 3) (*.f64 x -3)) (pow.f64 x 3)) -1)) (log.f64 (/.f64 -1 x)))
(+.f64 1 (fabs.f64 x))
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) (fabs.f64 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fabs.f64 x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) (fabs.f64 x))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 4) -1/8 (fabs.f64 x))))
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 1/16 (pow.f64 x 6)) (+.f64 (*.f64 -1/8 (pow.f64 x 4)) (fabs.f64 x)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 1/16 (pow.f64 x 6) (fma.f64 -1/8 (pow.f64 x 4) (fabs.f64 x)))))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 (pow.f64 x 6) 1/16 (fma.f64 (pow.f64 x 4) -1/8 (fabs.f64 x)))))
(+.f64 1 (fma.f64 (pow.f64 x 6) 1/16 (fma.f64 (pow.f64 x 4) -1/8 (fma.f64 1/2 (*.f64 x x) x))))
x
(+.f64 (fabs.f64 x) x)
(+.f64 x (fabs.f64 x))
(+.f64 x x)
(+.f64 (*.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x))
(+.f64 (+.f64 x (fabs.f64 x)) (/.f64 1/2 x))
(+.f64 x (+.f64 (fabs.f64 x) (/.f64 1/2 x)))
(+.f64 (/.f64 1/2 x) (+.f64 x x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (fabs.f64 x) x)) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (+.f64 x (fabs.f64 x)) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (+.f64 x (fabs.f64 x)) (+.f64 (/.f64 1/2 x) (/.f64 -1/8 (pow.f64 x 3))))
(+.f64 x (+.f64 (+.f64 x (/.f64 1/2 x)) (/.f64 -1/8 (pow.f64 x 3))))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (fabs.f64 x) (*.f64 -1 x))
(+.f64 (fabs.f64 x) (neg.f64 x))
(-.f64 (fabs.f64 x) x)
0
(-.f64 (+.f64 (fabs.f64 x) (.f64 -1 x)) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (/.f64 1/2 x))
(+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1/2 x))
(/.f64 -1/2 x)
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (fabs.f64 x) (.f64 -1 x))) (*.f64 1/2 (/.f64 1 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (+.f64 (fabs.f64 x) (neg.f64 x)) (/.f64 1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (-.f64 (fabs.f64 x) x) (/.f64 -1/2 x)))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(+.f64 0 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (log.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 -1) (log.f64 (-.f64 x (hypot.f64 1 x))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3) 1/3)
(log.f64 (+.f64 x (hypot.f64 1 x)))
(sqrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 2))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 3))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(expm1.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (-.f64 (+.f64 x (hypot.f64 1 x)) 1))
(log.f64 (+.f64 x (hypot.f64 1 x)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 x (hypot.f64 1 x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 x (hypot.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(+.f64 x (hypot.f64 1 x))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 (+.f64 x x) (hypot.f64 1 x)) 1))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (E.f64) (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (pow.f64 (cbrt.f64 (hypot.f64 1 x)) 2) (cbrt.f64 (hypot.f64 1 x)) x)
(+.f64 x (hypot.f64 1 x))

eval45.0ms (0.9%)

Compiler: Compiled 2590 to 1667 computations (35.6% saved)

prune31.0ms (0.6%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	135	13	148
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	136	13	149

Error

0.0b

Counts

149 → 13

Alt Table

Click to see full alt table

Status	Error	Program
	33.2b	(copysign.f64 (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (pow.f64 x 6) (fma.f64 1/720 (+.f64 (/.f64 45 (+.f64 1 x)) (/.f64 30 (pow.f64 (+.f64 1 x) 3))) (/.f64 1/16 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x)))) x)
	32.4b	(copysign.f64 (fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x)) x)
	55.1b	(copysign.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) x)
	44.1b	(copysign.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) x)
▶	43.3b	(copysign.f64 (+.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
▶	23.1b	(copysign.f64 (log1p.f64 (fabs.f64 x)) x)
▶	27.9b	(copysign.f64 (log1p.f64 x) x)
	46.5b	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
▶	48.3b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	43.3b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
	45.2b	(copysign.f64 (log.f64 (+.f64 x x)) x)
▶	58.6b	(copysign.f64 (log.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))) x)
	58.5b	(copysign.f64 (log.f64 (neg.f64 x)) x)

Compiler

Compiled 384 to 276 computations (28.1% saved)

localize6.0ms (0.1%)

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

localize5.0ms (0.1%)

Compiler: Compiled 8 to 3 computations (62.5% saved)

localize9.0ms (0.2%)

Compiler: Compiled 16 to 11 computations (31.3% saved)

localize17.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
✓	0.0b	(fma.f64 1/2 (*.f64 x x) x)
✓	17.2b	(log.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x)))

Compiler

Compiled 41 to 21 computations (48.8% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite93.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

806×	`*-commutative`
590×	`unswap-sqr`
468×	`swap-sqr`
436×	`distribute-lft-in`
428×	`distribute-rgt-in`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	55
1	217	55
2	2507	55

Stop Event

1×	node limit

Counts

3 → 204

Calls

Call 1

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

Outputs
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Outputs

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

simplify71.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

626×	`fma-def`
506×	`associate-r`
486×	`+-commutative`
452×	`associate-l`
398×	`*-commutative`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	583	510
1	1634	510

Stop Event

1×	node limit

Counts

240 → 224

Calls

Call 1

Inputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/8 (pow.f64 x 4)) x))
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 -1/20 (pow.f64 x 5)) x)))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 x))))
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))) (*.f64 4/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x))))) (.f64 4/3 (/.f64 1 (pow.f64 x 3))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
(+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 1/2) (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 1/2) (.f64 2 (/.f64 1 x)))) (*.f64 4/3 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 1/2) (.f64 2 (/.f64 1 x))))) (.f64 4/3 (/.f64 1 (pow.f64 x 3))))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(*.f64 1/2 (pow.f64 x 2))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) x)) 0)
(+.f64 0 (log1p.f64 (fma.f64 1/2 (*.f64 x x) x)))
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))))
(+.f64 (log.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2))) (neg.f64 (log.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) 2)))
(+.f64 (log.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3))) (neg.f64 (log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (*.f64 x x) x))))))
(+.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) x)))) -1)
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))))) (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))))
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))))
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))))) (.f64 1 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))))))
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) 2))) (.f64 1 (log.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))))))
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) 1) (.f64 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) 1))
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) 1))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2))) (log.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x))))
(-.f64 (log.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (*.f64 x x) x)))))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) x)))) 1)
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2)))) (log.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x))))
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3)))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (*.f64 x x) x)))))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) x))))) 1)
(.f64 1 (log1p.f64 (fma.f64 1/2 (.f64 x x) x)))
(.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x)) 1)
(.f64 (sqrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x))) (sqrt.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) x))))
(.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x))) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) x))) 2))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x))) 2) (cbrt.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) x))))
(.f64 2 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))))
(.f64 (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x)))) (cbrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x)))) (.f64 (sqrt.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x)))) (cbrt.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) x)))))
(.f64 (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x))) 2))) (.f64 (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x)))) (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) x))) 2))))
(.f64 (.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x))) (sqrt.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x))))) (.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x))) (sqrt.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) x))))))
(.f64 (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x))))) (.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x))) 2)) (cbrt.f64 (sqrt.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) x))))))
(.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x))) 3/2) (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) x))) 3/2))
(.f64 (pow.f64 (pow.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x)) 3) 1/6) (pow.f64 (pow.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) x)) 3) 1/6))
(/.f64 (-.f64 0 (pow.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x)) 2)) (-.f64 0 (log1p.f64 (fma.f64 1/2 (.f64 x x) x))))
(/.f64 (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))))) (.f64 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))))) (-.f64 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))))))
(/.f64 (-.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) 2))) (.f64 (log.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (log.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))))) (-.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))))))
(/.f64 (-.f64 (.f64 (log.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2))) (log.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2)))) (.f64 (log.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x))) (log.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x))))) (+.f64 (log.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2))) (log.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x)))))
(/.f64 (-.f64 (.f64 (log.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3))) (log.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3)))) (.f64 (log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (.f64 x x) x)))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (.f64 x x) x)))))) (+.f64 (log.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (*.f64 x x) x))))))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x)))) (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x))))) 1) (+.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x)))) 1))
(/.f64 (+.f64 0 (pow.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x)) 3)) (+.f64 0 (-.f64 (pow.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x)) 2) (.f64 0 (log1p.f64 (fma.f64 1/2 (.f64 x x) x))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) 3) (pow.f64 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) 3)) (+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))))) (-.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))))) (.f64 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))))))))
(/.f64 (+.f64 (pow.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) 2)) 3) (pow.f64 (log.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) 3)) (+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) 2)) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) 2))) (-.f64 (.f64 (log.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (log.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))))) (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))))))))
(/.f64 (-.f64 (pow.f64 (log.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2))) 3) (pow.f64 (log.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x))) 3)) (+.f64 (.f64 (log.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2))) (log.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2)))) (+.f64 (.f64 (log.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x))) (log.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (.f64 (log.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2))) (log.f64 (-.f64 1 (fma.f64 1/2 (*.f64 x x) x)))))))
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(/.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2))) (neg.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3))) (+.f64 -1 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (*.f64 x x) x)))))
(/.f64 (.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) -1)) (+.f64 (fma.f64 1/2 (*.f64 x x) x) -1))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2)))) (sqrt.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (*.f64 x x) x)))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) 2) (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2)))) (cbrt.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x))))
(/.f64 (.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (*.f64 x x) x)))))
(/.f64 (.f64 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) -1) 1) (+.f64 (fma.f64 1/2 (*.f64 x x) x) -1))
(/.f64 (.f64 (neg.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2))) 1) (neg.f64 (-.f64 1 (fma.f64 1/2 (*.f64 x x) x))))
(/.f64 (.f64 (+.f64 -1 (neg.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3))) 1) (+.f64 -1 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (.f64 x x) x)))))
(/.f64 (.f64 (sqrt.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2))) (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (sqrt.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x))))
(/.f64 (.f64 (sqrt.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3))) (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (*.f64 x x) x)))))
(/.f64 (.f64 (cbrt.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) 2)) (cbrt.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x))))
(/.f64 (.f64 (cbrt.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) 2)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (*.f64 x x) x)))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 4)) (/.f64 1 (-.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2)))
(/.f64 (.f64 (-.f64 1 (pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) 3)) (/.f64 1 (-.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (+.f64 1 (+.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (pow.f64 (fma.f64 1/2 (*.f64 x x) x) 4))))
(/.f64 (.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (.f64 x x) x))))) (-.f64 1 (pow.f64 (fma.f64 1/2 (*.f64 x x) x) 3)))
(/.f64 (.f64 (+.f64 1 (pow.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (.f64 x x) x))))) (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 6) (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2)) 1) (-.f64 1 (fma.f64 1/2 (.f64 x x) x)))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2)) (sqrt.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (sqrt.f64 (-.f64 1 (fma.f64 1/2 (*.f64 x x) x))))
(/.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2)) (.f64 (cbrt.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x))) (cbrt.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x))))) (cbrt.f64 (-.f64 1 (fma.f64 1/2 (*.f64 x x) x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (*.f64 x x) x))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (.f64 x x) x))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (*.f64 x x) x)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3)) (.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (.f64 x x) x)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (.f64 x x) x)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (.f64 x x) x)))))
(/.f64 (-.f64 (.f64 (pow.f64 x 4) 1/4) (.f64 (+.f64 1 x) (+.f64 1 x))) (-.f64 (.f64 1/2 (.f64 x x)) (+.f64 1 x)))
(/.f64 (-.f64 (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (+.f64 1 (.f64 1/2 (.f64 x x)))) (.f64 x x)) (-.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) x))
(/.f64 (-.f64 (.f64 (exp.f64 (log1p.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (exp.f64 (log1p.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))))) 1) (+.f64 (exp.f64 (log1p.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) 1))
(/.f64 (-.f64 (.f64 (/.f64 1 (-.f64 1 (fma.f64 1/2 (.f64 x x) x))) (/.f64 1 (-.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (.f64 (/.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (-.f64 1 (fma.f64 1/2 (.f64 x x) x))) (/.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (-.f64 1 (fma.f64 1/2 (.f64 x x) x))))) (+.f64 (/.f64 1 (-.f64 1 (fma.f64 1/2 (.f64 x x) x))) (/.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (-.f64 1 (fma.f64 1/2 (*.f64 x x) x)))))
(/.f64 (+.f64 (pow.f64 (.f64 1/2 (.f64 x x)) 3) (pow.f64 (+.f64 1 x) 3)) (+.f64 (.f64 (pow.f64 x 4) 1/4) (-.f64 (.f64 (+.f64 1 x) (+.f64 1 x)) (.f64 (.f64 1/2 (*.f64 x x)) (+.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) 3) (pow.f64 x 3)) (+.f64 (.f64 (+.f64 1 (.f64 1/2 (.f64 x x))) (+.f64 1 (.f64 1/2 (.f64 x x)))) (-.f64 (.f64 x x) (.f64 (+.f64 1 (.f64 1/2 (*.f64 x x))) x))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) 3) 1) (+.f64 (.f64 (exp.f64 (log1p.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (exp.f64 (log1p.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))))) (+.f64 1 (.f64 (exp.f64 (log1p.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) 1))))
(/.f64 (-.f64 (pow.f64 (/.f64 1 (-.f64 1 (fma.f64 1/2 (.f64 x x) x))) 3) (pow.f64 (/.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (-.f64 1 (fma.f64 1/2 (.f64 x x) x))) 3)) (+.f64 (.f64 (/.f64 1 (-.f64 1 (fma.f64 1/2 (.f64 x x) x))) (/.f64 1 (-.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (+.f64 (.f64 (/.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (-.f64 1 (fma.f64 1/2 (.f64 x x) x))) (/.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (-.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (.f64 (/.f64 1 (-.f64 1 (fma.f64 1/2 (.f64 x x) x))) (/.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (-.f64 1 (fma.f64 1/2 (*.f64 x x) x)))))))
(pow.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))) 3)
(pow.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x)) 3) 1/3)
(pow.f64 (E.f64) (log1p.f64 (fma.f64 1/2 (*.f64 x x) x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x))) 2)) (cbrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x))))
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x)))) (sqrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x))))
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2)) (neg.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x)))))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3)) (+.f64 -1 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (*.f64 x x) x))))))
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x)) 2))
(log.f64 (exp.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x)))))
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x)) 3))
(expm1.f64 (log1p.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))))
(exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) x)))
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))))
(fma.f64 1 (fma.f64 1/2 (*.f64 x x) x) 1)
(fma.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) x)) (sqrt.f64 (fma.f64 1/2 (.f64 x x) x)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) x)) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) x)) 1)

Outputs
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/8 (pow.f64 x 4)) x))
(fma.f64 -1/6 (pow.f64 x 3) x)
(+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 1/8 (pow.f64 x 4)) (+.f64 (*.f64 -1/20 (pow.f64 x 5)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (fma.f64 1/8 (pow.f64 x 4) (fma.f64 -1/20 (pow.f64 x 5) x)))
(+.f64 (log.f64 1/2) (*.f64 -2 (log.f64 (/.f64 1 x))))
x
(+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x))))
x
(-.f64 (+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))) (*.f64 4/3 (/.f64 1 (pow.f64 x 3))))
(+.f64 (log.f64 1/2) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 4/3 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 1/2) (+.f64 (.f64 -2 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x))))) (.f64 4/3 (/.f64 1 (pow.f64 x 3))))
(+.f64 (log.f64 1/2) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 4/3 (pow.f64 x 3))))
(+.f64 (*.f64 -2 (log.f64 (/.f64 -1 x))) (log.f64 1/2))
x
(+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 1/2) (.f64 2 (/.f64 1 x))))
x
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 1/2) (.f64 2 (/.f64 1 x)))) (*.f64 4/3 (/.f64 1 (pow.f64 x 3))))
(+.f64 (log.f64 1/2) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 4/3 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 -2 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 2 (/.f64 1 (pow.f64 x 4))) (+.f64 (log.f64 1/2) (.f64 2 (/.f64 1 x))))) (.f64 4/3 (/.f64 1 (pow.f64 x 3))))
(+.f64 (log.f64 1/2) (-.f64 (fma.f64 -2 (neg.f64 (log.f64 x)) (/.f64 2 x)) (/.f64 4/3 (pow.f64 x 3))))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
x
(*.f64 1/2 (pow.f64 x 2))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
x
(*.f64 1/2 (pow.f64 x 2))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
x
1
x
(+.f64 1 x)
x
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
x
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
x
(*.f64 1/2 (pow.f64 x 2))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
x
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
x
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
x
(*.f64 1/2 (pow.f64 x 2))
x
(+.f64 (*.f64 1/2 (pow.f64 x 2)) x)
x
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
x
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
x
(+.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) x)) 0)
x
(+.f64 0 (log1p.f64 (fma.f64 1/2 (*.f64 x x) x)))
x
(+.f64 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))))
x
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) 2)) (log.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))))
x
(+.f64 (log.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2))) (neg.f64 (log.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x)))))
x
(+.f64 (log.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) 2)))
x
(+.f64 (log.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3))) (neg.f64 (log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (*.f64 x x) x))))))
x
(+.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) x)))) -1)
x
(+.f64 (+.f64 0 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))))) (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))))
x
(+.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) 2))) (log.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))))
x
(+.f64 (.f64 1 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))))) (.f64 1 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))))))
x
(+.f64 (.f64 1 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) 2))) (.f64 1 (log.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))))))
x
(+.f64 (.f64 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) 1) (.f64 (log.f64 (sqrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) 1))
x
(+.f64 (.f64 (log.f64 (pow.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x))) 2)) 1) (.f64 (log.f64 (cbrt.f64 (+.f64 1 (fma.f64 1/2 (.f64 x x) x)))) 1))
x
(-.f64 (log.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2))) (log.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x))))
x
(-.f64 (log.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (*.f64 x x) x)))))
x
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) x)))) 1)
x
(-.f64 (+.f64 0 (log.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2)))) (log.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x))))
x
(-.f64 (+.f64 0 (log.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3)))) (log.f64 (+.f64 1 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (*.f64 x x) x)))))
x
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(pow.f64 (E.f64) (log1p.f64 (fma.f64 1/2 (*.f64 x x) x)))
x
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x))) 2)) (cbrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x))))
x
(pow.f64 (exp.f64 (sqrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x)))) (sqrt.f64 (log1p.f64 (fma.f64 1/2 (.f64 x x) x))))
x
(neg.f64 (/.f64 (-.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2)) (neg.f64 (-.f64 1 (fma.f64 1/2 (.f64 x x) x)))))
x
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 3)) (+.f64 -1 (neg.f64 (-.f64 (pow.f64 (fma.f64 1/2 (.f64 x x) x) 2) (fma.f64 1/2 (*.f64 x x) x))))))
x
(sqrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x)) 2))
x
(log.f64 (exp.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))))
x
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x)))))
x
(cbrt.f64 (pow.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x)) 3))
x
(expm1.f64 (log1p.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))))
x
(exp.f64 (log1p.f64 (fma.f64 1/2 (*.f64 x x) x)))
x
(log1p.f64 (expm1.f64 (+.f64 1 (fma.f64 1/2 (*.f64 x x) x))))
x
(fma.f64 1 (fma.f64 1/2 (*.f64 x x) x) 1)
x
(fma.f64 (sqrt.f64 (fma.f64 1/2 (.f64 x x) x)) (sqrt.f64 (fma.f64 1/2 (.f64 x x) x)) 1)
x
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 1/2 (.f64 x x) x)) 2) (cbrt.f64 (fma.f64 1/2 (.f64 x x) x)) 1)
x

localize24.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
✓	1.0b	(+.f64 x (hypot.f64 1 x))
✓	1.7b	(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))

Compiler

Compiled 56 to 39 computations (30.4% saved)

series64.0ms (1.3%)

Counts

3 → 20

Calls

9 calls:

Time	Variable		Point	Expression
61.0ms	x	@	-inf	(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
1.0ms	x	@	inf	(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
1.0ms	x	@	0	(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
0.0ms	x	@	-inf	(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
0.0ms	x	@	inf	(+.f64 x (hypot.f64 1 x))

rewrite64.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

1756×	`add-sqr-sqrt`
1740×	`*-un-lft-identity`
1618×	`add-cube-cbrt`
1602×	`add-cbrt-cube`
174×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	177	51
2	2174	51

Stop Event

1×	node limit

Counts

3 → 89

Calls

Call 1

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

Outputs

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

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

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

simplify80.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

976×	`fma-def`
898×	`distribute-lft-in`
870×	`distribute-rgt-in`
600×	`*-commutative`
422×	`associate-+l-`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	246	2887
1	566	2635
2	2074	2625
3	7215	2625

Stop Event

1×	node limit

Counts

109 → 156

Calls

Call 1

Inputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1/12 (pow.f64 x 3)))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5))))
(+.f64 (.f64 -5/224 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (.f64 3/80 (pow.f64 x 5)))))
1
(+.f64 1 x)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(*.f64 2 x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
1
(+.f64 (*.f64 1/2 x) 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(.f64 (.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(.f64 (.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(fma.f64 1 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(*.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3)
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))

Outputs
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1/12 (pow.f64 x 3)))
(fma.f64 1/2 x (*.f64 -1/12 (pow.f64 x 3)))
(fma.f64 -1/12 (pow.f64 x 3) (*.f64 1/2 x))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (*.f64 3/80 (pow.f64 x 5))))
(fma.f64 1/2 x (fma.f64 -1/12 (pow.f64 x 3) (*.f64 3/80 (pow.f64 x 5))))
(fma.f64 -1/12 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 3/80 (pow.f64 x 5))))
(+.f64 (.f64 -5/224 (pow.f64 x 7)) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/12 (pow.f64 x 3)) (.f64 3/80 (pow.f64 x 5)))))
(fma.f64 -5/224 (pow.f64 x 7) (fma.f64 1/2 x (fma.f64 -1/12 (pow.f64 x 3) (*.f64 3/80 (pow.f64 x 5)))))
(fma.f64 -5/224 (pow.f64 x 7) (fma.f64 -1/12 (pow.f64 x 3) (fma.f64 1/2 x (*.f64 3/80 (pow.f64 x 5)))))
1
(+.f64 1 x)
(+.f64 x 1)
(+.f64 1 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) x))
(fma.f64 1/2 (*.f64 x x) (+.f64 x 1))
(+.f64 1 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 (.f64 -1/8 (pow.f64 x 4)) x)))
(+.f64 1 (fma.f64 1/2 (*.f64 x x) (fma.f64 -1/8 (pow.f64 x 4) x)))
(*.f64 2 x)
(*.f64 x 2)
(+.f64 x x)
(+.f64 (.f64 2 x) (.f64 1/2 (/.f64 1 x)))
(fma.f64 2 x (/.f64 1/2 x))
(fma.f64 x 2 (/.f64 1/2 x))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (.f64 2 x)) (*.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(-.f64 (fma.f64 2 x (/.f64 1/2 x)) (/.f64 1/8 (pow.f64 x 3)))
(+.f64 (/.f64 1/2 x) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3))))
(-.f64 (+.f64 (.f64 1/2 (/.f64 1 x)) (+.f64 (.f64 2 x) (.f64 1/16 (/.f64 1 (pow.f64 x 5))))) (.f64 1/8 (/.f64 1 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (-.f64 (fma.f64 2 x (/.f64 1/16 (pow.f64 x 5))) (/.f64 1/8 (pow.f64 x 3))))
(+.f64 (/.f64 1/2 x) (+.f64 (/.f64 1/16 (pow.f64 x 5)) (fma.f64 x 2 (/.f64 -1/8 (pow.f64 x 3)))))
(/.f64 -1/2 x)
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 1/2 (/.f64 1 x)))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 1/2 x))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x))
(-.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (*.f64 1/2 (/.f64 1 x))))
(-.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5))))
(-.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) (/.f64 1/16 (pow.f64 x 5)))
(+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) (/.f64 -1/16 (pow.f64 x 5)))
(-.f64 (+.f64 (.f64 1/8 (/.f64 1 (pow.f64 x 3))) (.f64 5/128 (/.f64 1 (pow.f64 x 7)))) (+.f64 (.f64 1/16 (/.f64 1 (pow.f64 x 5))) (.f64 1/2 (/.f64 1 x))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (/.f64 5/128 (pow.f64 x 7)) (+.f64 (/.f64 1/2 x) (/.f64 1/16 (pow.f64 x 5)))))
(+.f64 (/.f64 1/8 (pow.f64 x 3)) (-.f64 (-.f64 (/.f64 5/128 (pow.f64 x 7)) (/.f64 1/2 x)) (/.f64 1/16 (pow.f64 x 5))))
(+.f64 (+.f64 (+.f64 (/.f64 1/8 (pow.f64 x 3)) (/.f64 -1/2 x)) (/.f64 -1/16 (pow.f64 x 5))) (/.f64 5/128 (pow.f64 x 7)))
1
(+.f64 (*.f64 1/2 x) 1)
(fma.f64 1/2 x 1)
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) 1))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x 1))
(fma.f64 x (*.f64 x 1/8) (fma.f64 1/2 x 1))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/16 (pow.f64 x 3)) 1)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 -1/16 (pow.f64 x 3) 1)))
(fma.f64 1/8 (*.f64 x x) (fma.f64 1/2 x (fma.f64 (pow.f64 x 3) -1/16 1)))
(fma.f64 1/2 x (fma.f64 x (*.f64 x 1/8) (fma.f64 (pow.f64 x 3) -1/16 1)))
(+.f64 0 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 (log.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(+.f64 (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (log.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) 1)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 1 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2)))
(*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 2)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 3)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(pow.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3) 1/3)
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(expm1.f64 (log1p.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(exp.f64 (*.f64 (log.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(log1p.f64 (-.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1))
(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x)))) 1)
(+.f64 x (hypot.f64 1 x))
(-.f64 (/.f64 (.f64 x x) (-.f64 x (hypot.f64 1 x))) (/.f64 (+.f64 1 (.f64 x x)) (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (-.f64 (.f64 x x) 1) (.f64 x x)) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(*.f64 1 (+.f64 x (hypot.f64 1 x)))
(+.f64 x (hypot.f64 1 x))
(*.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 x (hypot.f64 1 x))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2))
(+.f64 x (hypot.f64 1 x))
(.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 4))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(.f64 (-.f64 (.f64 x x) (+.f64 1 (*.f64 x x))) (/.f64 1 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (-.f64 (.f64 x x) 1) (.f64 x x)) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(.f64 (.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4)) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(+.f64 x (hypot.f64 1 x))
(.f64 (.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 4))
(/.f64 1 (/.f64 (-.f64 x (hypot.f64 1 x)) (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))))
(/.f64 (-.f64 (-.f64 (.f64 x x) 1) (.f64 x x)) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))) (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(/.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x))) (-.f64 x (hypot.f64 1 x)))
(/.f64 (-.f64 (-.f64 (.f64 x x) 1) (.f64 x x)) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (-.f64 (.f64 x x) (*.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (+.f64 (+.f64 1 (.f64 x x)) (.f64 x (-.f64 x (hypot.f64 1 x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (-.f64 x (hypot.f64 1 x)) (fma.f64 x x 1)))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x (+.f64 x (-.f64 x (hypot.f64 1 x))) 1))
(/.f64 (-.f64 (+.f64 1 (.f64 x x)) (.f64 x x)) (-.f64 (hypot.f64 1 x) x))
(/.f64 (-.f64 (-.f64 (.f64 x x) 1) (.f64 x x)) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (neg.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (-.f64 (-.f64 (.f64 x x) 1) (.f64 x x)) (-.f64 x (hypot.f64 1 x)))
(/.f64 1 (-.f64 (hypot.f64 1 x) x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (neg.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (/.f64 1 (fma.f64 x x (.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3)) (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 2)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 3)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2) 1/2)
(+.f64 x (hypot.f64 1 x))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3) 1/3)
(+.f64 x (hypot.f64 1 x))
(sqrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 2))
(+.f64 x (hypot.f64 1 x))
(log.f64 (exp.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (hypot.f64 1 x)))))
(+.f64 x (hypot.f64 1 x))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3))
(+.f64 x (hypot.f64 1 x))
(expm1.f64 (log1p.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1))
(+.f64 x (hypot.f64 1 x))
(log1p.f64 (expm1.f64 (+.f64 x (hypot.f64 1 x))))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 x (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 1 (hypot.f64 1 x) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 (hypot.f64 1 x)) x)
(+.f64 x (hypot.f64 1 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(fma.f64 (cbrt.f64 (+.f64 1 (*.f64 x x))) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (cbrt.f64 (fma.f64 x x 1)) (cbrt.f64 (hypot.f64 1 x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (hypot.f64 1 x))
(+.f64 x (hypot.f64 1 x))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) 1)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 1 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) (cbrt.f64 (+.f64 x (hypot.f64 1 x))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2) 1/2) (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) 2)) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(*.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x))) (sqrt.f64 (cbrt.f64 (+.f64 x (hypot.f64 1 x)))))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (hypot.f64 (pow.f64 x 3/2) (pow.f64 (hypot.f64 1 x) 3/2)) (sqrt.f64 (fma.f64 x x (*.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x)))))
(/.f64 (sqrt.f64 (-.f64 (.f64 x x) (+.f64 1 (.f64 x x)))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 (-.f64 (-.f64 (.f64 x x) 1) (.f64 x x))) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(/.f64 (sqrt.f64 -1) (sqrt.f64 (-.f64 x (hypot.f64 1 x))))
(pow.f64 (+.f64 x (hypot.f64 1 x)) 1/2)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))) 1)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 1/4) 2)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 3)
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(pow.f64 (E.f64) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))) (sqrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(pow.f64 (exp.f64 (cbrt.f64 (pow.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))) 2))) (cbrt.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(fabs.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (exp.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(cbrt.f64 (pow.f64 (+.f64 x (hypot.f64 1 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(hypot.f64 (sqrt.f64 (hypot.f64 1 x)) (sqrt.f64 x))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(hypot.f64 (sqrt.f64 x) (sqrt.f64 (hypot.f64 1 x)))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(exp.f64 (*.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) 1/2))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x)))))
(sqrt.f64 (+.f64 x (hypot.f64 1 x)))

eval395.0ms (8%)

Compiler: Compiled 13754 to 9409 computations (31.6% saved)

prune111.0ms (2.2%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	533	3	536
Fresh	1	7	8
Picked	1	0	1
Done	2	2	4
Total	537	12	549

Error

0.0b

Counts

549 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	33.2b	(copysign.f64 (fma.f64 (pow.f64 x 4) (+.f64 (/.f64 -1/8 (+.f64 1 x)) (/.f64 -1/8 (pow.f64 (+.f64 1 x) 2))) (fma.f64 (pow.f64 x 6) (fma.f64 1/720 (+.f64 (/.f64 45 (+.f64 1 x)) (/.f64 30 (pow.f64 (+.f64 1 x) 3))) (/.f64 1/16 (pow.f64 (+.f64 1 x) 2))) (fma.f64 1/2 (*.f64 (/.f64 x (+.f64 1 x)) x) (log1p.f64 x)))) x)
	55.1b	(copysign.f64 (-.f64 (log.f64 (+.f64 (pow.f64 x 3) (pow.f64 (hypot.f64 1 x) 3))) (log.f64 (fma.f64 (hypot.f64 1 x) (-.f64 (hypot.f64 1 x) x) (*.f64 x x)))) x)
	44.1b	(copysign.f64 (-.f64 (exp.f64 (log1p.f64 (log.f64 (+.f64 x (hypot.f64 1 x))))) 1) x)
▶	43.3b	(copysign.f64 (+.f64 (*.f64 1/2 (log.f64 (+.f64 x (hypot.f64 1 x)))) (log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))) x)
▶	32.7b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
✓	27.9b	(copysign.f64 (log1p.f64 x) x)
▶	46.5b	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x))) x)
✓	48.3b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
	43.3b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
	45.2b	(copysign.f64 (log.f64 (+.f64 x x)) x)
▶	58.5b	(copysign.f64 (log.f64 (neg.f64 x)) x)
▶	31.6b	(copysign.f64 x x)

Compiler

Compiled 338 to 246 computations (27.2% saved)

localize3.0ms (0.1%)

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

localize6.0ms (0.1%)

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

localize28.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 28 to 20 computations (28.6% saved)

series1.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite51.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

1238×	`add-sqr-sqrt`
1204×	`*-un-lft-identity`
1144×	`add-cube-cbrt`
1136×	`add-cbrt-cube`
1120×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	149	13
2	1597	13

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify53.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1088×	`distribute-rgt-out`
1084×	`distribute-rgt-in`
1068×	`distribute-lft-in`
892×	`log-prod`
638×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	39	275
1	99	209
2	322	143
3	1696	143
4	6830	143

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

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

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

localize18.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 1 (-.f64 (hypot.f64 1 x) x))
✓	0.7b	(-.f64 (hypot.f64 1 x) x)
✓	1.7b	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))

Compiler

Compiled 36 to 25 computations (30.6% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite72.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1892×	`add-sqr-sqrt`
1874×	`*-un-lft-identity`
1746×	`add-cube-cbrt`
1728×	`add-cbrt-cube`
184×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	53
1	187	53
2	2344	53

Stop Event

1×	node limit

Counts

3 → 94

Calls

Call 1

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

Outputs

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

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

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

simplify72.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1522×	`associate-/r*`
1398×	`associate-/l*`
914×	`associate-*r/`
722×	`+-commutative`
698×	`associate-+l+`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	305	3606
1	835	3258
2	3314	3258

Stop Event

1×	node limit

Counts

130 → 219

Calls

Call 1

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

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

localize80.0ms (1.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (+.f64 x (hypot.f64 1 x)))
	1.0b	(+.f64 x (hypot.f64 1 x))
	1.7b	(log.f64 (sqrt.f64 (+.f64 x (hypot.f64 1 x))))
✓	1.7b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 73 to 52 computations (28.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite53.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1604×	`add-sqr-sqrt`
1590×	`*-un-lft-identity`
1478×	`add-cube-cbrt`
1462×	`add-cbrt-cube`
1448×	`add-exp-log`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	158	17
2	1952	17

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify52.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1204×	`distribute-lft-in`
1028×	`distribute-rgt-in`
850×	`associate-+l-`
770×	`associate-r`
762×	`+-commutative`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	117	971
1	288	915
2	966	895
3	3862	895

Stop Event

1×	node limit

Counts

33 → 72

Calls

Call 1

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

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

eval306.0ms (6.2%)

Compiler: Compiled 11658 to 8590 computations (26.3% saved)

prune147.0ms (3%)

Pruning

11 alts after pruning (6 fresh and 5 done)

	Pruned	Kept	Total
New	538	4	542
Fresh	3	2	5
Picked	1	0	1
Done	1	5	6
Total	543	11	554

Error

Counts

554 → 11

Alt Table

Click to see full alt table

Status	Error	Program
▶	32.7b	(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x) x)
	32.9b	(copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x)
✓	32.7b	(copysign.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) x)
▶	46.5b	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
✓	27.9b	(copysign.f64 (log1p.f64 x) x)
▶	48.1b	(copysign.f64 (log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
✓	48.3b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
▶	43.3b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
▶	45.2b	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	58.5b	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	31.6b	(copysign.f64 x x)

Compiler

Compiled 170 to 121 computations (28.8% saved)

localize22.0ms (0.4%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(*.f64 -1/6 (pow.f64 x 3))
✓	0.3b	(-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1)

Compiler

Compiled 53 to 43 computations (18.9% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite60.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1988×	`add-sqr-sqrt`
1952×	`*-un-lft-identity`
1852×	`add-cube-cbrt`
1842×	`add-cbrt-cube`
204×	`add-exp-log`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	224	13
2	2791	13

Stop Event

1×	node limit

Counts

1 → 47

Calls

Call 1

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

Outputs

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

simplify66.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1284×	`associate--l+`
1212×	`associate-/r*`
1130×	`associate-+r-`
1122×	`associate-r`
1012×	`associate-l`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	120	1455
1	281	1381
2	911	1369
3	4579	1369

Stop Event

1×	node limit

Counts

59 → 57

Calls

Call 1

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

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

localize7.0ms (0.1%)

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

localize25.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 49 to 37 computations (24.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite92.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1304×	`associate-*r/`
906×	`*-commutative`
722×	`associate-*l/`
612×	`associate-/r*`
410×	`distribute-lft-in`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	44
1	221	36
2	2770	36

Stop Event

1×	node limit

Counts

2 → 221

Calls

Call 1

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

Outputs

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

simplify152.0ms (3.1%)

Algorithm

1×	egg-herbie

Rules

966×	`associate-+r+`
934×	`+-commutative`
924×	`associate-+l+`
806×	`fma-def`
670×	`associate-r`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	541	13441
1	1473	12595
2	6842	12515

Stop Event

1×	node limit

Counts

245 → 363

Calls

Call 1

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

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

localize12.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	1.0b	(+.f64 x (hypot.f64 1 x))
	1.7b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 25 to 16 computations (36% saved)

localize15.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.7b	(-.f64 (hypot.f64 1 x) x)
✓	1.7b	(log.f64 (-.f64 (hypot.f64 1 x) x))

Compiler

Compiled 33 to 22 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite54.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1624×	`add-sqr-sqrt`
1610×	`*-un-lft-identity`
1496×	`add-cube-cbrt`
1480×	`add-cbrt-cube`
160×	`pow1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	159	17
2	1967	17

Stop Event

1×	node limit

Counts

1 → 21

Calls

Call 1

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

Outputs

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

simplify53.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1066×	`distribute-lft-in`
896×	`associate-r`
862×	`distribute-rgt-in`
850×	`associate-+l-`
746×	`associate-l`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	114	993
1	285	897
2	974	897
3	4199	897

Stop Event

1×	node limit

Counts

33 → 76

Calls

Call 1

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

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

eval409.0ms (8.2%)

Compiler: Compiled 17539 to 12857 computations (26.7% saved)

prune195.0ms (3.9%)

Pruning

12 alts after pruning (4 fresh and 8 done)

	Pruned	Kept	Total
New	746	3	749
Fresh	0	1	1
Picked	0	1	1
Done	2	7	9
Total	748	12	760

Error

Counts

760 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	43.3b	(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)
✓	32.7b	(copysign.f64 (+.f64 (-.f64 (+.f64 1 (*.f64 -1/6 (pow.f64 x 3))) 1) x) x)
	32.7b	(copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x)
	32.9b	(copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x)
✓	46.5b	(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
	48.1b	(copysign.f64 (neg.f64 (log.f64 (-.f64 (*.f64 x -2) (/.f64 1/2 x)))) x)
✓	27.9b	(copysign.f64 (log1p.f64 x) x)
✓	48.3b	(copysign.f64 (log.f64 (/.f64 -1/2 x)) x)
✓	43.3b	(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)
✓	45.2b	(copysign.f64 (log.f64 (+.f64 x x)) x)
✓	58.5b	(copysign.f64 (log.f64 (neg.f64 x)) x)
✓	31.6b	(copysign.f64 x x)

Compiler

Compiled 115 to 80 computations (30.4% saved)

regimes65.0ms (1.3%)

Counts

25 → 3

Calls

Call 1

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

Outputs
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)

Calls

2 calls:

35.0ms	x
16.0ms	(copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (*.f64 x x) 1)))) x)

Results

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

Compiler

Compiled 329 to 222 computations (32.5% saved)

bsearch0.0ms (0%)

Algorithm

2×	left-value

Steps

Time	Left	Right
0.0ms	0.0030419486030934	19.954251397581498
0.0ms	-2.7574542323025346	-4.535424866070725e-8

Compiler

Compiled 17 to 12 computations (29.4% saved)

regimes28.0ms (0.6%)

Counts

17 → 3

Calls

Call 1

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

Outputs
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x)
(copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)

Calls

1 calls:

24.0ms

Results

Error	Segments	Branch
0.0b	3	`x`

Compiler

Compiled 151 to 97 computations (35.8% saved)

bsearch44.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	3.310452534079744e-25	0.003041953294516162
20.0ms	-7.848109137066793	-4.53542488980366e-8

Results

39.0ms

320×

body

256

valid

Compiler

Compiled 530 to 365 computations (31.1% saved)

regimes26.0ms (0.5%)

Counts

15 → 3

Calls

Call 1

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

Outputs
(copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x)
(copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x)
(copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)

Calls

1 calls:

22.0ms

Results

Error	Segments	Branch
0.0b	3	`x`

Compiler

Compiled 126 to 81 computations (35.7% saved)

bsearch42.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
22.0ms	3.310452534079744e-25	0.003041953294516162
19.0ms	-7.848109137066793	-4.53542488980366e-8

Results

37.0ms

320×

body

256

valid

Compiler

Compiled 486 to 321 computations (34% saved)

regimes22.0ms (0.4%)

Counts

12 → 3

Calls

Call 1

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

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

Calls

1 calls:

19.0ms

Results

Error	Segments	Branch
0.2b	3	`x`

Compiler

Compiled 96 to 62 computations (35.4% saved)

bsearch41.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
23.0ms	3.310452534079744e-25	0.003041953294516162
18.0ms	-7.848109137066793	-4.53542488980366e-8

Results

37.0ms

320×

body

256

valid

Compiler

Compiled 504 to 339 computations (32.7% saved)

regimes42.0ms (0.8%)

Counts

11 → 3

Calls

Call 1

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

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

Calls

1 calls:

39.0ms

Results

Error	Segments	Branch
0.2b	3	`x`

Compiler

Compiled 88 to 57 computations (35.2% saved)

bsearch40.0ms (0.8%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	0.003041953294516162	231734810.3539832
19.0ms	-7.848109137066793	-4.53542488980366e-8

Results

35.0ms

304×

body

256

valid

Compiler

Compiled 461 to 304 computations (34.1% saved)

regimes15.0ms (0.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

1 calls:

13.0ms

Results

Error	Segments	Branch
0.3b	3	`x`

Compiler

Compiled 47 to 27 computations (42.6% saved)

bsearch87.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	0.003041953294516162	231734810.3539832
66.0ms	-7.848109137066793	-4.53542488980366e-8

Results

83.0ms

304×

body

256

valid

Compiler

Compiled 416 to 268 computations (35.6% saved)

regimes12.0ms (0.3%)

Counts

5 → 3

Calls

Call 1

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

Outputs
(copysign.f64 (log.f64 (neg.f64 x)) x)
(copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x)
(copysign.f64 (log.f64 (+.f64 x x)) x)

Calls

1 calls:

11.0ms

Results

Error	Segments	Branch
10.6b	3	`x`

Compiler

Compiled 32 to 17 computations (46.9% saved)

bsearch62.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
19.0ms	0.003041953294516162	231734810.3539832
43.0ms	-7.848109137066793	-4.53542488980366e-8

Results

58.0ms

304×

body

256

valid

Compiler

Compiled 407 to 259 computations (36.4% saved)

regimes9.0ms (0.2%)

Counts

4 → 2

Calls

Call 1

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

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

Calls

1 calls:

7.0ms

Results

Error	Segments	Branch
23.1b	2	`x`

Compiler

Compiled 26 to 14 computations (46.2% saved)

bsearch18.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
18.0ms	-7.848109137066793	-4.53542488980366e-8

Results

17.0ms

144×

body

256

valid

Compiler

Compiled 134 to 93 computations (30.6% saved)

regimes9.0ms (0.2%)

Counts

3 → 2

Calls

Call 1

Inputs
(copysign.f64 x x)
(copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x)
(copysign.f64 (log1p.f64 x) x)

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

Calls

1 calls:

8.0ms

Results

Error	Segments	Branch
26.8b	2	`x`

Compiler

Compiled 21 to 11 computations (47.6% saved)

bsearch19.0ms (0.4%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
19.0ms	0.003041953294516162	231734810.3539832

Results

17.0ms

160×

body

256

valid

Compiler

Compiled 127 to 82 computations (35.4% saved)

regimes4.0ms (0.1%)

Accuracy

Total -1.2b remaining (-3.8%)

Threshold costs -1.2b (-3.8%)

Counts

2 → 1

Calls

Call 1

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

Outputs
(copysign.f64 x x)

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
31.6b	1	`x`

Compiler

Compiled 17 to 9 computations (47.1% saved)

simplify35.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

28×	`+-commutative`
18×	`*-commutative`
14×	`sub-neg`
8×	`neg-mul-1`
8×	`neg-sub0`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	95	824
1	120	824
2	133	824
3	138	824
4	139	824

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -2) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5764607523034235/1152921504606846976) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -7378697629483821/9223372036854775808) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 4242751136953197/4611686018427387904) (copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)))
(if (<=.f64 x -7378697629483821/9223372036854775808) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 7839866231326559/9223372036854775808) (copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1080863910568919/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 7839866231326559/9223372036854775808) (copysign.f64 (+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1080863910568919/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -2) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 889460926405673/562949953421312) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

Outputs
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -2) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5764607523034235/1152921504606846976) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 (.f64 3/40 (pow.f64 x 5)) x)) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) -2) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 (copysign.f64 (log.f64 (+.f64 (fabs.f64 x) (sqrt.f64 (+.f64 (.f64 x x) 1)))) x) 5764607523034235/1152921504606846976) (copysign.f64 (+.f64 (.f64 -1/6 (pow.f64 x 3)) (+.f64 x (.f64 3/40 (pow.f64 x 5)))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -7378697629483821/9223372036854775808) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 4242751136953197/4611686018427387904) (copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x) (copysign.f64 (-.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) 1) x)))
(if (<=.f64 x -7378697629483821/9223372036854775808) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 4242751136953197/4611686018427387904) (copysign.f64 (+.f64 x (.f64 (.f64 x x) (*.f64 x -1/6))) x) (copysign.f64 (+.f64 (+.f64 1 (log.f64 (+.f64 x (hypot.f64 1 x)))) -1) x)))
(if (<=.f64 x -7378697629483821/9223372036854775808) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 7839866231326559/9223372036854775808) (copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -7378697629483821/9223372036854775808) (copysign.f64 (neg.f64 (log.f64 (-.f64 (hypot.f64 1 x) x))) x) (if (<=.f64 x 7839866231326559/9223372036854775808) (copysign.f64 (+.f64 x (.f64 (.f64 x x) (*.f64 x -1/6))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1080863910568919/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 7839866231326559/9223372036854775808) (copysign.f64 (+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1080863910568919/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 7839866231326559/9223372036854775808) (copysign.f64 (+.f64 x (.f64 (.f64 x x) (.f64 x -1/6))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1080863910568919/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (+.f64 (.f64 x -2) (/.f64 -1/2 x)))) x) (if (<=.f64 x 7839866231326559/9223372036854775808) (copysign.f64 (+.f64 x (.f64 (.f64 x x) (.f64 x -1/6))) x) (copysign.f64 (log.f64 (+.f64 x (hypot.f64 1 x))) x)))
(if (<=.f64 x -1080863910568919/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (.f64 (.f64 x x) (.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1080863910568919/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (.f64 (.f64 x x) (.f64 x -1/6))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1080863910568919/1125899906842624) (copysign.f64 (neg.f64 (log.f64 (+.f64 (.f64 x -2) (/.f64 -1/2 x)))) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (.f64 (.f64 x x) (.f64 x -1/6))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -5/4) (copysign.f64 (log.f64 (/.f64 -1/2 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (.f64 (.f64 x x) (*.f64 x -1/6))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -2) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 (.f64 (.f64 x x) (*.f64 x -1/6)) x) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -2) (copysign.f64 (log.f64 (neg.f64 x)) x) (if (<=.f64 x 5/4) (copysign.f64 (+.f64 x (.f64 (.f64 x x) (*.f64 x -1/6))) x) (copysign.f64 (log.f64 (+.f64 x x)) x)))
(if (<=.f64 x -1) (copysign.f64 (log.f64 (neg.f64 x)) x) (copysign.f64 (log1p.f64 x) x))
(if (<=.f64 x 889460926405673/562949953421312) (copysign.f64 x x) (copysign.f64 (log1p.f64 x) x))
(copysign.f64 x x)

Compiler

Compiled 308 to 200 computations (35.1% saved)

soundness286.0ms (5.7%)

Algorithm

7×	egg-herbie

Rules

1522×	`associate-/r*`
1398×	`associate-/l*`
1328×	`fma-def`
1328×	`fma-def`
1328×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	18	27
2	19	27
0	227	2492
1	597	2214
2	2199	1982
0	305	3606
1	835	3258
2	3314	3258
0	12	33
1	18	27
2	19	27
0	227	2492
1	597	2214
2	2199	1982
0	12	33
1	18	27
2	19	27
0	227	2492
1	597	2214
2	2199	1982

Stop Event

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

Compiler

Compiled 590 to 376 computations (36.3% saved)

end208.0ms (4.2%)

Compiler: Compiled 299 to 170 computations (43.1% saved)