Details

analyze138.0ms (2.9%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	100%	0%	0%	0%	0%	0
0%	0%	100%	0%	0%	0%	0%	1
0%	0%	100%	0%	0%	0%	0%	2
25%	25%	75%	0%	0%	0%	0%	3
50%	50%	50%	0%	0%	0%	0%	4
62.5%	62.5%	37.5%	0%	0%	0%	0%	5
68.8%	68.7%	31.2%	0%	0%	0%	0%	6
71.9%	71.8%	28.1%	0%	0%	0%	0%	7
73.4%	73.4%	26.5%	0%	0%	0%	0%	8
74.2%	74.2%	25.8%	0%	0%	0%	0%	9
74.6%	74.6%	25.4%	0%	0%	0%	0%	10
74.8%	74.8%	25.2%	0%	0%	0%	0%	11
74.9%	74.9%	25.1%	0%	0%	0%	0%	12

Compiler

Compiled 11 to 8 computations (27.3% saved)

sample3.0s (62.2%)

Results

1.3s	2562×	body	1024	valid
739.0ms	1218×	body	2048	valid
457.0ms	3116×	body	256	valid
402.0ms	1312×	body	512	valid
29.0ms	48×	body	4096	valid

Bogosity

preprocess4.0ms (0.1%)

Algorithm

2×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

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

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

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify37.0ms (0.8%)

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	10	23
1	16	17
2	17	17

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

43.4b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	43.4b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.4b	(+.f64 x (hypot.f64 1 x))
✓	3.2b	(log.f64 (+.f64 x (hypot.f64 1 x)))

Compiler

Compiled 17 to 11 computations (35.3% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite62.0ms (1.3%)

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	30
1	158	30
2	1952	30

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

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

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))))))

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

simplify87.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

1258×	`associate-+l-`
1152×	`fma-def`
1062×	`associate-+r-`
916×	`unswap-sqr`
542×	`associate-+l+`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	216	2461
1	559	2087
2	2026	1941
3	7089	1941

Stop Event

1×	node limit

Counts

81 → 137

Calls

Call 1

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

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

eval55.0ms (1.2%)

Compiler: Compiled 1894 to 1401 computations (26% saved)

prune27.0ms (0.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	132	5	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	133	5	138

Error

Counts

138 → 5

Alt Table

Click to see full alt table

Status	Error	Program
▶	34.6b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	44.8b	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))
▶	47.0b	(log.f64 (/.f64 -1/2 x))
▶	45.7b	(log.f64 (+.f64 x x))
	33.1b	x

Compiler

Compiled 29 to 21 computations (27.6% saved)

localize4.0ms (0.1%)

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

localize5.0ms (0.1%)

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

localize17.0ms (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)
✓	3.2b	(log.f64 (/.f64 1 (-.f64 (hypot.f64 1 x) x)))

Compiler

Compiled 26 to 18 computations (30.8% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	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)

rewrite92.0ms (1.9%)

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))))))))

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))))))))

simplify106.0ms (2.2%)

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

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 19 to 14 computations (26.3% 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))

rewrite54.0ms (1.1%)

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))))))))

simplify52.0ms (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))

eval124.0ms (2.6%)

Compiler: Compiled 3335 to 2552 computations (23.5% saved)

prune48.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	232	1	233
Fresh	0	1	1
Picked	0	1	1
Done	1	2	3
Total	233	5	238

Error

Counts

238 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.6b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
▶	46.5b	(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
✓	47.0b	(log.f64 (/.f64 -1/2 x))
✓	45.7b	(log.f64 (+.f64 x x))
	33.1b	x

Compiler

Compiled 31 to 23 computations (25.8% saved)

localize14.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 37 to 28 computations (24.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	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)))

rewrite86.0ms (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	25
1	221	21
2	2770	21

Stop Event

1×	node limit

Counts

1 → 50

Calls

Call 1

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

Outputs

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

simplify100.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

1458×	`fma-def`
1010×	`*-commutative`
958×	`associate-*r/`
866×	`associate-/l*`
730×	`associate-*l/`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	3342
1	634	3098
2	2184	3028
3	7971	3028

Stop Event

1×	node limit

Counts

62 → 114

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 (.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))
(*.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 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(.f64 (fma.f64 x -2 (/.f64 1/2 x)) (/.f64 1 (-.f64 (.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 -1 (/.f64 -1 (fma.f64 x -2 (/.f64 -1/2 x))))
(*.f64 (/.f64 -1 (fma.f64 x -2 (/.f64 -1/2 x))) -1)
(.f64 (/.f64 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x 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 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 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))
(*.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 (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 (/.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 (/.f64 1 (neg.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (neg.f64 (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(.f64 (/.f64 1 (+.f64 (.f64 -8 (pow.f64 x 3)) (pow.f64 (/.f64 -1/2 x) 3))) (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 -1/2 x) (-.f64 (/.f64 -1/2 x) (.f64 x -2)))))
(.f64 (/.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (sqrt.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (sqrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(.f64 (/.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) (sqrt.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (sqrt.f64 (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(.f64 (/.f64 -1 (neg.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (fma.f64 x -2 (/.f64 1/2 x)))
(.f64 (/.f64 -1 (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 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))))) (cbrt.f64 (fma.f64 x -2 (/.f64 1/2 x))))
(.f64 (/.f64 (cbrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2)) (cbrt.f64 (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 -1/8 (pow.f64 x 3))))) (cbrt.f64 (+.f64 (.f64 4 (.f64 x x)) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x))))))
(.f64 (/.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (+.f64 (.f64 (.f64 -8 (pow.f64 x 3)) (.f64 -8 (pow.f64 x 3))) (.f64 (/.f64 -1/8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))) (+.f64 (*.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))
(.f64 (/.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (-.f64 (pow.f64 (.f64 -8 (pow.f64 x 3)) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3))) (+.f64 (.f64 (.f64 -8 (pow.f64 x 3)) (.f64 -8 (pow.f64 x 3))) (.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))))
(.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 (.f64 4 (.f64 x x)) (.f64 4 (.f64 x x))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (.f64 x 2)))) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x))))
(.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (pow.f64 (.f64 4 (.f64 x x)) 3) (pow.f64 (/.f64 1/4 (.f64 x x)) 3))) (+.f64 (.f64 (.f64 4 (.f64 x x)) (.f64 4 (.f64 x x))) (.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x))))))
(pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1)
(pow.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(pow.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) 2)
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3)) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.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)))
(fma.f64 8 (pow.f64 x 3) (*.f64 -2 x))
(+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (*.f64 -32 (pow.f64 x 5))))
(fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5))))
(fma.f64 8 (pow.f64 x 3) (fma.f64 -32 (pow.f64 x 5) (*.f64 -2 x)))
(+.f64 (.f64 128 (pow.f64 x 7)) (+.f64 (.f64 -2 x) (+.f64 (.f64 8 (pow.f64 x 3)) (.f64 -32 (pow.f64 x 5)))))
(fma.f64 128 (pow.f64 x 7) (fma.f64 -2 x (fma.f64 8 (pow.f64 x 3) (*.f64 -32 (pow.f64 x 5)))))
(fma.f64 128 (pow.f64 x 7) (fma.f64 8 (pow.f64 x 3) (fma.f64 -32 (pow.f64 x 5) (*.f64 -2 x))))
(/.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 -1/2 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 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 5)))
(+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.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 1/128 (pow.f64 x 7)) (-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 5))))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.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 -1/2 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 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 5)))
(+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.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 1/128 (pow.f64 x 7)) (-.f64 (+.f64 (/.f64 -1/2 x) (/.f64 1/8 (pow.f64 x 3))) (/.f64 1/32 (pow.f64 x 5))))
(+.f64 (/.f64 1/128 (pow.f64 x 7)) (+.f64 (-.f64 (/.f64 -1/2 x) (/.f64 -1/8 (pow.f64 x 3))) (/.f64 -1/32 (pow.f64 x 5))))
(+.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 1 (-.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x)))) (fma.f64 x -2 (/.f64 1/2 x)))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (.f64 x 4) (/.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 (/.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 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (.f64 x 4) (/.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 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.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 (/.f64 1 (fma.f64 -8 (pow.f64 x 3) (/.f64 -1/8 (pow.f64 x 3)))) (fma.f64 4 (.f64 x x) (*.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))))
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (.f64 x 4))) (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3))))
(/.f64 (fma.f64 x (.f64 x 4) (.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) (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))) (*.f64 x (/.f64 -1 x))))
(.f64 (/.f64 1 (fma.f64 (pow.f64 x 3) -8 (/.f64 -1/8 (pow.f64 x 3)))) (+.f64 (fma.f64 4 (.f64 x x) (/.f64 1/4 (*.f64 x x))) (/.f64 (neg.f64 x) x)))
(/.f64 (fma.f64 x (/.f64 -1 x) (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 1/4 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 (/.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 -2 x (/.f64 1/2 x)) (fma.f64 4 (.f64 x x) (/.f64 -1/4 (.f64 x x))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 x (.f64 x 4) (/.f64 -1/4 (.f64 x x))))
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(.f64 (/.f64 (+.f64 (.f64 4 (.f64 x x)) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (-.f64 (pow.f64 (.f64 -8 (pow.f64 x 3)) 3) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3))) (+.f64 (.f64 (.f64 -8 (pow.f64 x 3)) (.f64 -8 (pow.f64 x 3))) (.f64 (/.f64 1/8 (pow.f64 x 3)) (+.f64 (.f64 -8 (pow.f64 x 3)) (/.f64 1/8 (pow.f64 x 3))))))
(.f64 (/.f64 (fma.f64 4 (.f64 x x) (.f64 (/.f64 1/2 x) (fma.f64 x -2 (/.f64 1/2 x)))) (-.f64 (.f64 -512 (pow.f64 (pow.f64 x 3) 3)) (pow.f64 (/.f64 1/8 (pow.f64 x 3)) 3))) (+.f64 (.f64 64 (.f64 (pow.f64 x 3) (pow.f64 x 3))) (*.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 -8 (pow.f64 x 3) (/.f64 1/8 (pow.f64 x 3))))))
(/.f64 (fma.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)) (.f64 x (.f64 x 4))) (/.f64 (fma.f64 -512 (pow.f64 (pow.f64 x 3) 3) (/.f64 -1/512 (pow.f64 (pow.f64 x 3) 3))) (fma.f64 (/.f64 1/8 (pow.f64 x 3)) (fma.f64 (pow.f64 x 3) -8 (/.f64 1/8 (pow.f64 x 3))) (*.f64 64 (pow.f64 x 6)))))
(.f64 (/.f64 (fma.f64 x (.f64 x 4) (*.f64 (/.f64 1/2 x) (fma.f64 -2 x (/.f64 1/2 x)))) (fma.f64 -512 (pow.f64 (pow.f64 x 3/2) 6) (/.f64 -1/512 (pow.f64 (pow.f64 x 3/2) 6)))) (fma.f64 64 (pow.f64 x 6) (fma.f64 (pow.f64 x 3) (/.f64 -1 (pow.f64 x 3)) (/.f64 1/64 (pow.f64 x 6)))))
(.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 (.f64 4 (.f64 x x)) (.f64 4 (.f64 x x))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (.f64 x 2)))) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x))))
(.f64 (+.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (.f64 x x))) (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 16 (.f64 (.f64 x x) (.f64 x x))) (/.f64 (/.f64 1/8 (pow.f64 x 3)) (*.f64 x 2)))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (/.f64 (fma.f64 16 (.f64 x (pow.f64 x 3)) (/.f64 -1/8 (.f64 x (.f64 2 (pow.f64 x 3))))) (fma.f64 4 (.f64 x x) (/.f64 1/4 (*.f64 x x)))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (/.f64 (fma.f64 16 (pow.f64 x 4) (/.f64 -1/16 (pow.f64 x 4))) (fma.f64 x (*.f64 x 4) (/.f64 (/.f64 1/4 x) x))))
(.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (pow.f64 (.f64 4 (.f64 x x)) 3) (pow.f64 (/.f64 1/4 (.f64 x x)) 3))) (+.f64 (.f64 (.f64 4 (.f64 x x)) (.f64 4 (.f64 x x))) (.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (/.f64 1/4 (.f64 x x)) (.f64 4 (.f64 x x))))))
(.f64 (/.f64 (fma.f64 x -2 (/.f64 1/2 x)) (-.f64 (.f64 64 (pow.f64 (.f64 x x) 3)) (/.f64 1/64 (pow.f64 (.f64 x x) 3)))) (+.f64 (.f64 16 (.f64 (.f64 x x) (.f64 x x))) (.f64 (/.f64 1/4 (.f64 x x)) (+.f64 (.f64 4 (.f64 x x)) (/.f64 1/4 (*.f64 x x))))))
(.f64 (/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (fma.f64 64 (pow.f64 x 6) (/.f64 -1/64 (pow.f64 x 6)))) (fma.f64 (/.f64 1/4 (.f64 x x)) (fma.f64 4 (.f64 x x) (/.f64 1/4 (.f64 x x))) (.f64 16 (.f64 x (pow.f64 x 3)))))
(/.f64 (fma.f64 -2 x (/.f64 1/2 x)) (/.f64 (fma.f64 64 (pow.f64 x 6) (/.f64 -1/64 (pow.f64 x 6))) (fma.f64 (/.f64 (/.f64 1/4 x) x) (fma.f64 x (.f64 x 4) (/.f64 (/.f64 1/4 x) x)) (.f64 16 (pow.f64 x 4)))))
(pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1)
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))) 1)
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -1/2) 2)
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (cbrt.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))) 3)
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(pow.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3)) 1/3)
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) 3)))
(sqrt.f64 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) -2))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(log.f64 (exp.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x))))))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 x -2 (/.f64 -1/2 x)) 3)))
(cbrt.f64 (/.f64 1 (pow.f64 (fma.f64 -2 x (/.f64 -1/2 x)) 3)))
(expm1.f64 (log1p.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(exp.f64 (neg.f64 (log.f64 (fma.f64 x -2 (/.f64 -1/2 x)))))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))
(log1p.f64 (expm1.f64 (/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))))
(/.f64 1 (fma.f64 x -2 (/.f64 -1/2 x)))
(/.f64 1 (fma.f64 -2 x (/.f64 -1/2 x)))

eval77.0ms (1.6%)

Compiler: Compiled 2952 to 2182 computations (26.1% saved)

prune24.0ms (0.5%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	114	5	119

Error

Counts

119 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.6b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	46.5b	(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
✓	47.0b	(log.f64 (/.f64 -1/2 x))
✓	45.7b	(log.f64 (+.f64 x x))
	33.1b	x

Compiler

Compiled 31 to 23 computations (25.8% saved)

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	4	4
Total	5	5

Error

Counts

5 → 5

Alt Table

Click to see full alt table

Status	Error	Program
✓	34.6b	(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
✓	46.5b	(log.f64 (/.f64 1 (-.f64 (*.f64 x -2) (/.f64 1/2 x))))
✓	47.0b	(log.f64 (/.f64 -1/2 x))
✓	45.7b	(log.f64 (+.f64 x x))
	33.1b	x

Compiler

Compiled 31 to 23 computations (25.8% saved)

regimes49.0ms (1%)

Counts

8 → 3

Calls

Call 1

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

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

Calls

3 calls:

25.0ms	x
17.0ms	(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))
6.0ms	(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))

Results

Error	Segments	Branch
0b	3	`x`
7.2b	3	`(log.f64 (+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1))))`
7.2b	3	`(+.f64 x (sqrt.f64 (+.f64 (*.f64 x x) 1)))`

Compiler

Compiled 71 to 49 computations (31% saved)

bsearch64.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
33.0ms	1.32843655279604e-5	10195525999780.822
31.0ms	-213525.80507095432	-8.678350048230875e-10

Results

59.0ms

320×

body

256

valid

Compiler

Compiled 374 to 290 computations (22.5% saved)

regimes11.0ms (0.2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

1 calls:

10.0ms

Results

Error	Segments	Branch
0.0b	3	`x`

Compiler

Compiled 19 to 12 computations (36.8% saved)

bsearch61.0ms (1.3%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
25.0ms	1.32843655279604e-5	10195525999780.822
35.0ms	-213525.80507095432	-8.678350048230875e-10

Results

56.0ms

320×

body

256

valid

Compiler

Compiled 314 to 240 computations (23.6% saved)

regimes10.0ms (0.2%)

Counts

3 → 3

Calls

Call 1

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

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

Calls

1 calls:

9.0ms

Results

Error	Segments	Branch
0.2b	3	`x`

Compiler

Compiled 12 to 7 computations (41.7% saved)

bsearch44.0ms (0.9%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
20.0ms	1.32843655279604e-5	10195525999780.822
23.0ms	-213525.80507095432	-8.678350048230875e-10

Results

39.0ms

320×

body

256

valid

Compiler

Compiled 194 to 140 computations (27.8% saved)

regimes6.0ms (0.1%)

Accuracy

Total -46.7b remaining (-291.6%)

Threshold costs -46.7b (-291.6%)

Counts

2 → 2

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
16.0b	2	`x`

Compiler

Compiled 8 to 4 computations (50% saved)

bsearch24.0ms (0.5%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
24.0ms	1.32843655279604e-5	10195525999780.822

Results

17.0ms

160×

body

256

valid

Compiler

Compiled 104 to 70 computations (32.7% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative`
6×	`*-commutative`
4×	`sub-neg`
2×	`1-exp`
2×	`neg-mul-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	36	199
1	43	199
2	49	199
3	51	199
4	52	199

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(if (<=.f64 x -1080863910568919/1125899906842624) (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5/4) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
x

Outputs
(if (<=.f64 x -1080863910568919/1125899906842624) (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5/4) (+.f64 (.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -1080863910568919/1125899906842624) (log.f64 (/.f64 1 (-.f64 (.f64 x -2) (/.f64 1/2 x)))) (if (<=.f64 x 5/4) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -1080863910568919/1125899906842624) (log.f64 (/.f64 1 (+.f64 (.f64 x -2) (/.f64 -1/2 x)))) (if (<=.f64 x 5/4) (+.f64 x (.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))) (log.f64 (+.f64 x x))))
(if (<=.f64 x -5/4) (log.f64 (/.f64 -1/2 x)) (if (<=.f64 x 5/4) x (log.f64 (+.f64 x x))))
(if (<=.f64 x 5/4) x (log.f64 (+.f64 x x)))
x

Compiler

Compiled 84 to 58 computations (31% saved)

soundness247.0ms (5.2%)

Algorithm

6×	egg-herbie

Rules

1522×	`associate-/r*`
1398×	`associate-/l*`
1258×	`associate-+l-`
1258×	`associate-+l-`
1152×	`fma-def`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	16	17
2	17	17
0	216	2461
1	559	2087
2	2026	1941
3	7089	1941
0	305	3606
1	835	3258
2	3314	3258
0	10	23
1	16	17
2	17	17
0	10	23
1	16	17
2	17	17
0	216	2461
1	559	2087
2	2026	1941
3	7089	1941

Stop Event

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

Compiler

Compiled 295 to 203 computations (31.2% saved)

end47.0ms (1%)

Compiler: Compiled 80 to 48 computations (40% saved)

Details

analyze138.0ms (2.9%)

sample3.0s (62.2%)

preprocess4.0ms (0.1%)

simplify37.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0%)

localize8.0ms (0.2%)

series3.0ms (0.1%)

rewrite62.0ms (1.3%)

simplify87.0ms (1.8%)

eval55.0ms (1.2%)

prune27.0ms (0.6%)

localize4.0ms (0.1%)

localize5.0ms (0.1%)

localize17.0ms (0.4%)

series2.0ms (0%)

rewrite92.0ms (1.9%)

simplify106.0ms (2.2%)

localize7.0ms (0.2%)

series1.0ms (0%)

rewrite54.0ms (1.1%)

simplify52.0ms (1.1%)

eval124.0ms (2.6%)

prune48.0ms (1%)

localize14.0ms (0.3%)

series1.0ms (0%)

rewrite86.0ms (1.8%)

simplify100.0ms (2.1%)

eval77.0ms (1.6%)

prune24.0ms (0.5%)

eval0.0ms (0%)

prune2.0ms (0%)

regimes49.0ms (1%)

bsearch64.0ms (1.3%)

regimes11.0ms (0.2%)

bsearch61.0ms (1.3%)

regimes10.0ms (0.2%)

bsearch44.0ms (0.9%)

regimes6.0ms (0.1%)

bsearch24.0ms (0.5%)

simplify9.0ms (0.2%)

soundness247.0ms (5.2%)

end47.0ms (1%)

Profiling