Details

analyze221.0ms (11.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	81.2%	0.1%	6
43.7%	56.2%	0.1%	7
50%	50%	0.1%	8
67.1%	32.8%	0.1%	9
71.8%	28.1%	0.1%	10
82.3%	17.6%	0.1%	11
85.1%	14.8%	0.1%	12
90.8%	9.1%	0.1%	13
92.3%	7.6%	0.1%	14

Compiler

Compiled 10 to 7 computations (30% saved)

sample853.0ms (45.9%)

Results

841.0ms

8256×

body

128

valid

preprocess16.0ms (0.9%)

Algorithm

2×	egg-herbie

Rules

5×	`*-commutative_binary64`
4×	`associate-/l*_binary64`
4×	`associate-/r/_binary64`
2×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	19	20
2	27	20
3	33	20
4	35	20
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(/.f64 (*.f64 x y) (+.f64 y 1))
(/.f64 (*.f64 y x) (+.f64 x 1))

Outputs
(/.f64 (*.f64 x y) (+.f64 y 1))
(*.f64 (/.f64 x (+.f64 y 1)) y)
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 x 1))
(/.f64 y (/.f64 (+.f64 x 1) x))
(*.f64 (/.f64 y (+.f64 x 1)) x)
(*.f64 x (/.f64 y (+.f64 x 1)))
(/.f64 x (/.f64 (+.f64 x 1) y))

Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
2×	`associate-/r/_binary64`
1×	`+-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	13	10
2	17	10
3	20	10
4	21	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) (+.f64 y 1))

Outputs
(/.f64 (*.f64 x y) (+.f64 y 1))
(/.f64 x (/.f64 (+.f64 y 1) y))
(*.f64 (/.f64 x (+.f64 y 1)) y)
(*.f64 y (/.f64 x (+.f64 y 1)))
(*.f64 x (/.f64 y (+.f64 y 1)))

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.0b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.0b	(*.f64 x (/.f64 y (+.f64 y 1)))
	8.5b	(/.f64 (*.f64 x y) (+.f64 y 1))

Compiler

Compiled 52 to 34 computations (34.6% saved)

localize4.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

series6.0ms (0.3%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(*.f64 x (/.f64 y (+.f64 y 1)))
1.0ms	x	@	0	(*.f64 x (/.f64 y (+.f64 y 1)))
1.0ms	y	@	-inf	(*.f64 x (/.f64 y (+.f64 y 1)))
1.0ms	x	@	-inf	(*.f64 x (/.f64 y (+.f64 y 1)))
1.0ms	y	@	0	(*.f64 x (/.f64 y (+.f64 y 1)))

rewrite44.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

822×	`pow1_binary64`
765×	`log1p-expm1-u_binary64`
765×	`expm1-log1p-u_binary64`
77×	`add-sqr-sqrt_binary64`
75×	`*-un-lft-identity_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	150	17
2	2054	17

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 y (+.f64 y 1))

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

Outputs

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

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

simplify42.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

667×	`times-frac_binary64`
381×	`fma-neg_binary64`
280×	`associate-l_binary64`
272×	`cancel-sign-sub-inv_binary64`
231×	`fma-def_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	49	437
1	136	413
2	372	400
3	1260	388
4	4655	388

Stop Event

1×	node limit

Counts

95 → 89

Calls

Call 1

Inputs
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 y x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 y x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 3) x) (.f64 -1 (.f64 (pow.f64 y 4) x)))))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 x y)) x)))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 x y)) x)))
y
(+.f64 (*.f64 -1 (pow.f64 y 2)) y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (.f64 -1 (pow.f64 y 4)))))
1
(-.f64 1 (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
1
(-.f64 1 (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))

Outputs
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 y 1))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 y 1))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 y x (neg.f64 (.f64 x (.f64 y y))))
(.f64 x (-.f64 y (.f64 y y)))
(.f64 y (-.f64 x (.f64 y x)))
(+.f64 (.f64 y x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (.f64 (pow.f64 y 3) x)))
(fma.f64 y x (fma.f64 -1 (.f64 x (.f64 y y)) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (.f64 (*.f64 y y) (+.f64 -1 y))))
(.f64 x (.f64 y (-.f64 (fma.f64 y y 1) y)))
(+.f64 (.f64 y x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 3) x) (.f64 -1 (.f64 (pow.f64 y 4) x)))))
(fma.f64 y x (fma.f64 -1 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 3) x (neg.f64 (*.f64 x (pow.f64 y 4))))))
(fma.f64 y x (-.f64 (.f64 x (.f64 (.f64 y y) (+.f64 -1 y))) (.f64 x (pow.f64 y 4))))
(.f64 x (-.f64 (.f64 y (-.f64 (fma.f64 y y 1) y)) (pow.f64 y 4)))
(.f64 x (.f64 (fma.f64 y y 1) (-.f64 y (*.f64 y y))))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(fma.f64 -1 (/.f64 x y) x)
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(-.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) x))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 x y)) x)))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))))
(-.f64 (+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(+.f64 x (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (/.f64 x y)))
(+.f64 x (-.f64 (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)) (/.f64 x y)))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(fma.f64 -1 (/.f64 x y) x)
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(-.f64 (/.f64 x (*.f64 y y)) (-.f64 (/.f64 x y) x))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 x y)) x)))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))))
(-.f64 (+.f64 (-.f64 x (/.f64 x y)) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(+.f64 x (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (/.f64 x y)))
(+.f64 x (-.f64 (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)) (/.f64 x y)))
y
(+.f64 (*.f64 -1 (pow.f64 y 2)) y)
(fma.f64 -1 (*.f64 y y) y)
(-.f64 y (*.f64 y y))
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y))
(fma.f64 -1 (*.f64 y y) (+.f64 y (pow.f64 y 3)))
(-.f64 (+.f64 y (pow.f64 y 3)) (*.f64 y y))
(*.f64 y (-.f64 (fma.f64 y y 1) y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (.f64 -1 (pow.f64 y 4)))))
(fma.f64 -1 (*.f64 y y) (+.f64 (pow.f64 y 3) (+.f64 y (neg.f64 (pow.f64 y 4)))))
(-.f64 (+.f64 (pow.f64 y 3) (-.f64 y (pow.f64 y 4))) (*.f64 y y))
(-.f64 (*.f64 y (-.f64 (fma.f64 y y 1) y)) (pow.f64 y 4))
(.f64 (fma.f64 y y 1) (-.f64 y (.f64 y y)))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y))) (/.f64 1 (pow.f64 y 3)))
(-.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y))) (/.f64 1 (pow.f64 y 3)))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 (pow.f64 y 3))))
(-.f64 (/.f64 -1 (pow.f64 y 3)) (-.f64 (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))) 1))
1
(-.f64 1 (/.f64 1 y))
(+.f64 1 (/.f64 -1 y))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (/.f64 1 y))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y)))
(+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y)))
(+.f64 1 (+.f64 (/.f64 1 (*.f64 y y)) (/.f64 -1 y)))
(-.f64 (+.f64 (/.f64 1 (pow.f64 y 2)) 1) (+.f64 (/.f64 1 y) (/.f64 1 (pow.f64 y 3))))
(-.f64 (+.f64 (/.f64 1 (*.f64 y y)) (-.f64 1 (/.f64 1 y))) (/.f64 1 (pow.f64 y 3)))
(-.f64 (+.f64 1 (-.f64 (/.f64 (/.f64 1 y) y) (/.f64 1 y))) (/.f64 1 (pow.f64 y 3)))
(+.f64 (/.f64 1 (*.f64 y y)) (-.f64 (+.f64 1 (/.f64 -1 y)) (/.f64 1 (pow.f64 y 3))))
(-.f64 (/.f64 -1 (pow.f64 y 3)) (-.f64 (+.f64 (/.f64 1 y) (/.f64 -1 (*.f64 y y))) 1))

prune56.0ms (3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	87	2	89
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	87	4	91

Error

Counts

91 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 x (/.f64 y (+.f64 y 1)))
	33.5b	(.f64 x (.f64 y (-.f64 (fma.f64 y y 1) y)))
▶	8.5b	(/.f64 (*.f64 x y) (+.f64 y 1))
	41.0b	(cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 y (+.f64 y 1)) 3)))

Compiler

Compiled 1072 to 661 computations (38.3% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	8.0b	(/.f64 (*.f64 x y) (+.f64 y 1))

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite60.0ms (3.2%)

Algorithm

1×	batch-egg-rewrite

Rules

797×	`log1p-expm1-u_binary64`
797×	`expm1-log1p-u_binary64`
77×	`add-sqr-sqrt_binary64`
75×	`*-un-lft-identity_binary64`
75×	`pow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	150	10
2	2114	10

Stop Event

1×	node limit

Counts

1 → 45

Calls

Call 1

Inputs
(/.f64 (*.f64 x y) (+.f64 y 1))

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

Outputs

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

simplify33.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

705×	`fma-def_binary64`
459×	`times-frac_binary64`
287×	`fma-neg_binary64`
262×	`sub-neg_binary64`
243×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	33	294
1	94	281
2	254	270
3	924	257
4	4068	257

Stop Event

1×	node limit

Counts

69 → 61

Calls

Call 1

Inputs
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 (*.f64 y x) (+.f64 1 y))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 y x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 y x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 3) x) (.f64 -1 (.f64 (pow.f64 y 4) x)))))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 x y)) x)))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 x y)) x)))

Outputs
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(/.f64 (*.f64 y x) (+.f64 1 y))
(/.f64 y (/.f64 (+.f64 y 1) x))
(*.f64 (/.f64 y (+.f64 y 1)) x)
(*.f64 x (/.f64 y (+.f64 y 1)))
(*.f64 y (/.f64 x (+.f64 y 1)))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 y x (neg.f64 (.f64 x (.f64 y y))))
(.f64 x (+.f64 y (neg.f64 (.f64 y y))))
(.f64 x (-.f64 y (.f64 y y)))
(.f64 y (-.f64 x (.f64 y x)))
(+.f64 (.f64 y x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (.f64 (pow.f64 y 3) x)))
(fma.f64 y x (fma.f64 -1 (.f64 x (.f64 y y)) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (neg.f64 (.f64 y y)) (pow.f64 y 3))))
(.f64 x (+.f64 (pow.f64 y 3) (-.f64 y (.f64 y y))))
(.f64 x (fma.f64 y (-.f64 (.f64 y y) y) y))
(*.f64 x (fma.f64 (-.f64 1 y) y (pow.f64 y 3)))
(+.f64 (.f64 y x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 3) x) (.f64 -1 (.f64 (pow.f64 y 4) x)))))
(fma.f64 y x (fma.f64 -1 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 3) x (neg.f64 (*.f64 x (pow.f64 y 4))))))
(fma.f64 y x (-.f64 (.f64 x (+.f64 (neg.f64 (.f64 y y)) (pow.f64 y 3))) (*.f64 x (pow.f64 y 4))))
(.f64 x (+.f64 (-.f64 (pow.f64 y 3) (pow.f64 y 4)) (-.f64 y (.f64 y y))))
(.f64 x (.f64 (fma.f64 y y 1) (-.f64 y (*.f64 y y))))
(.f64 x (.f64 (fma.f64 y y 1) (*.f64 y (-.f64 1 y))))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(fma.f64 -1 (/.f64 x y) x)
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 x y)) x)))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))))
(-.f64 (+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))) (/.f64 x (pow.f64 y 3)))
(+.f64 x (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (/.f64 x y)))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)))
x
(+.f64 (*.f64 -1 (/.f64 x y)) x)
(fma.f64 -1 (/.f64 x y) x)
(-.f64 x (/.f64 x y))
(+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (*.f64 -1 (/.f64 x y)) x))
(+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(+.f64 (.f64 -1 (/.f64 x (pow.f64 y 3))) (+.f64 (/.f64 x (pow.f64 y 2)) (+.f64 (.f64 -1 (/.f64 x y)) x)))
(fma.f64 -1 (/.f64 x (pow.f64 y 3)) (+.f64 (fma.f64 -1 (/.f64 x y) x) (/.f64 x (*.f64 y y))))
(-.f64 (+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y))) (/.f64 x (pow.f64 y 3)))
(+.f64 x (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (/.f64 x y)))
(+.f64 (-.f64 x (/.f64 x y)) (/.f64 (-.f64 x (/.f64 x y)) (*.f64 y y)))

prune39.0ms (2.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	59	2	61
Fresh	2	0	2
Picked	0	1	1
Done	0	1	1
Total	61	4	65

Error

Counts

65 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 x (/.f64 y (+.f64 y 1)))
✓	8.5b	(/.f64 (*.f64 x y) (+.f64 y 1))
	23.0b	(.f64 y (.f64 x (exp.f64 (neg.f64 (log1p.f64 y)))))
▶	19.0b	(.f64 x (.f64 y (exp.f64 (neg.f64 (log1p.f64 y)))))

Compiler

Compiled 781 to 450 computations (42.4% saved)

localize6.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(.f64 x (.f64 y (exp.f64 (neg.f64 (log1p.f64 y)))))
✓	0.0b	(*.f64 y (exp.f64 (neg.f64 (log1p.f64 y))))
✓	1.4b	(exp.f64 (neg.f64 (log1p.f64 y)))

series52.0ms (2.8%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
45.0ms	x	@	0	(.f64 x (.f64 y (exp.f64 (neg.f64 (log1p.f64 y)))))
1.0ms	y	@	-inf	(exp.f64 (neg.f64 (log1p.f64 y)))
1.0ms	x	@	inf	(.f64 x (.f64 y (exp.f64 (neg.f64 (log1p.f64 y)))))
1.0ms	y	@	-inf	(.f64 x (.f64 y (exp.f64 (neg.f64 (log1p.f64 y)))))
1.0ms	y	@	inf	(.f64 x (.f64 y (exp.f64 (neg.f64 (log1p.f64 y)))))

rewrite45.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`pow1_binary64`
612×	`add-log-exp_binary64`
611×	`expm1-log1p-u_binary64`
610×	`log1p-expm1-u_binary64`
82×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	30
1	158	21
2	1962	21

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

Inputs
(exp.f64 (neg.f64 (log1p.f64 y)))
(*.f64 y (exp.f64 (neg.f64 (log1p.f64 y))))
(.f64 x (.f64 y (exp.f64 (neg.f64 (log1p.f64 y)))))

Outputs

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

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

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

simplify49.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

650×	`fma-def_binary64`
361×	`sub-neg_binary64`
247×	`associate-+l+_binary64`
236×	`unsub-neg_binary64`
181×	`associate-+r+_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	111	1145
1	337	878
2	999	589
3	3813	567

Stop Event

1×	node limit

Counts

107 → 117

Calls

Call 1

Inputs
1
(+.f64 1 (*.f64 -1 y))
(+.f64 1 (+.f64 (pow.f64 y 2) (*.f64 -1 y)))
(+.f64 1 (+.f64 (.f64 -1 (pow.f64 y 3)) (+.f64 (pow.f64 y 2) (.f64 -1 y))))
(exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y)))))
(+.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) (.f64 -1 (/.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) y)))
(+.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (.f64 -1 (/.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) y)) (/.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) (pow.f64 y 2))))
(+.f64 (.f64 -1 (/.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) (pow.f64 y 3))) (+.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) (+.f64 (.f64 -1 (/.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) y)) (/.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) (pow.f64 y 2)))))
(exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))
(+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (.f64 -1 (/.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)))
(+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (+.f64 (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 2)) (.f64 -1 (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y))))
(+.f64 (.f64 -1 (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 3))) (+.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (+.f64 (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 2)) (.f64 -1 (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)))))
y
(+.f64 (*.f64 -1 (pow.f64 y 2)) y)
(+.f64 (*.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) y))
(+.f64 (.f64 -1 (pow.f64 y 2)) (+.f64 (pow.f64 y 3) (+.f64 y (.f64 -1 (pow.f64 y 4)))))
(.f64 y (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))))
(+.f64 (.f64 -1 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y)))))) (.f64 y (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y)))))))
(+.f64 (.f64 -1 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) y) (.f64 y (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))))))
(+.f64 (.f64 -1 (/.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) (pow.f64 y 2))) (+.f64 (.f64 -1 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y)))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) y) (.f64 y (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y)))))))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)
(+.f64 (.f64 -1 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y))
(+.f64 (.f64 -1 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y) (.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y)))
(+.f64 (.f64 -1 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1))))) (+.f64 (/.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y) (+.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) y) (.f64 -1 (/.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (pow.f64 y 2))))))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 y x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 y x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 3) x) (.f64 -1 (.f64 (pow.f64 y 4) x)))))
(.f64 y (.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) x))
(+.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x)) (.f64 y (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x)))
(+.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x)) (+.f64 (/.f64 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x) y) (.f64 y (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x))))
(+.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x)) (+.f64 (/.f64 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x) y) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (pow.f64 y 2))) (.f64 y (.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) x)))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (*.f64 y x))
(+.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (.f64 y x)) (.f64 -1 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x)))
(+.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (.f64 y x)) (+.f64 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) y) (.f64 -1 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (pow.f64 y 2))) (+.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (.f64 y x)) (+.f64 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) y) (.f64 -1 (.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x)))))

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

prune76.0ms (4.1%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	117	4	121

Error

Counts

121 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 x (/.f64 y (+.f64 y 1)))
✓	8.5b	(/.f64 (*.f64 x y) (+.f64 y 1))
▶	23.0b	(.f64 y (.f64 x (exp.f64 (neg.f64 (log1p.f64 y)))))
✓	19.0b	(.f64 x (.f64 y (exp.f64 (neg.f64 (log1p.f64 y)))))

Compiler

Compiled 1887 to 1358 computations (28% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x (exp.f64 (neg.f64 (log1p.f64 y))))
	1.4b	(exp.f64 (neg.f64 (log1p.f64 y)))
✓	4.6b	(.f64 y (.f64 x (exp.f64 (neg.f64 (log1p.f64 y)))))

series6.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	y	@	-inf	(.f64 y (.f64 x (exp.f64 (neg.f64 (log1p.f64 y)))))
1.0ms	y	@	-inf	(*.f64 x (exp.f64 (neg.f64 (log1p.f64 y))))
1.0ms	y	@	inf	(*.f64 x (exp.f64 (neg.f64 (log1p.f64 y))))
0.0ms	x	@	inf	(*.f64 x (exp.f64 (neg.f64 (log1p.f64 y))))
0.0ms	x	@	-inf	(*.f64 x (exp.f64 (neg.f64 (log1p.f64 y))))

rewrite37.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

668×	`pow1_binary64`
612×	`add-log-exp_binary64`
611×	`expm1-log1p-u_binary64`
610×	`log1p-expm1-u_binary64`
82×	`associate-r_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	23
1	158	17
2	1962	17

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

Inputs
(.f64 y (.f64 x (exp.f64 (neg.f64 (log1p.f64 y)))))
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 y))))

Outputs

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

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

simplify43.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

604×	`fma-def_binary64`
257×	`sub-neg_binary64`
197×	`times-frac_binary64`
179×	`unsub-neg_binary64`
173×	`associate-/l*_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	1058
1	276	882
2	882	560
3	3866	532

Stop Event

1×	node limit

Counts

79 → 72

Calls

Call 1

Inputs
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(+.f64 (.f64 y x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (.f64 (pow.f64 y 3) x)))
(+.f64 (.f64 y x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 3) x) (.f64 -1 (.f64 (pow.f64 y 4) x)))))
(.f64 y (.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) x))
(+.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x)) (.f64 y (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x)))
(+.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x)) (+.f64 (/.f64 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x) y) (.f64 y (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x))))
(+.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x)) (+.f64 (/.f64 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x) y) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (pow.f64 y 2))) (.f64 y (.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) x)))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (*.f64 y x))
(+.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (.f64 y x)) (.f64 -1 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x)))
(+.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (.f64 y x)) (+.f64 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) y) (.f64 -1 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (pow.f64 y 2))) (+.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) (.f64 y x)) (+.f64 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) y) (.f64 -1 (.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x)))))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) (.f64 y x))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
x
(+.f64 (.f64 -1 (.f64 y x)) x)
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (*.f64 y x)) x))
(+.f64 (.f64 -1 (.f64 (pow.f64 y 3) x)) (+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (*.f64 y x)) x)))
(.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x)
(+.f64 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (.f64 -1 (/.f64 (.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) y)))
(+.f64 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x) y)) (/.f64 (.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) (pow.f64 y 2))))
(+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (pow.f64 y 3))) (+.f64 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x) y)) (/.f64 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (pow.f64 y 2)))))
(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x)
(+.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (.f64 -1 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) y)))
(+.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) y)) (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (*.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (pow.f64 y 2))))
(+.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) y)) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (pow.f64 y 3))) (/.f64 (.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x) (pow.f64 y 2)))))

Outputs
(*.f64 y x)
(+.f64 (.f64 y x) (.f64 -1 (*.f64 (pow.f64 y 2) x)))
(fma.f64 y x (neg.f64 (.f64 x (.f64 y y))))
(.f64 x (+.f64 (neg.f64 (.f64 y y)) y))
(.f64 y (-.f64 x (.f64 y x)))
(+.f64 (.f64 y x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (.f64 (pow.f64 y 3) x)))
(fma.f64 y x (fma.f64 -1 (.f64 x (.f64 y y)) (*.f64 x (pow.f64 y 3))))
(fma.f64 y x (.f64 x (+.f64 (neg.f64 (.f64 y y)) (pow.f64 y 3))))
(.f64 x (+.f64 y (-.f64 (pow.f64 y 3) (.f64 y y))))
(.f64 x (+.f64 (pow.f64 y 3) (-.f64 y (.f64 y y))))
(+.f64 (.f64 y x) (+.f64 (.f64 -1 (.f64 (pow.f64 y 2) x)) (+.f64 (.f64 (pow.f64 y 3) x) (.f64 -1 (.f64 (pow.f64 y 4) x)))))
(fma.f64 y x (fma.f64 -1 (.f64 x (.f64 y y)) (fma.f64 (pow.f64 y 3) x (neg.f64 (*.f64 x (pow.f64 y 4))))))
(fma.f64 y x (-.f64 (.f64 x (+.f64 (neg.f64 (.f64 y y)) (pow.f64 y 3))) (*.f64 x (pow.f64 y 4))))
(.f64 x (+.f64 (-.f64 (pow.f64 y 3) (pow.f64 y 4)) (-.f64 y (.f64 y y))))
(.f64 y (.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) x))
(.f64 y (.f64 x (exp.f64 (*.f64 1 (neg.f64 (log.f64 y))))))
(.f64 y (.f64 x (exp.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (/.f64 x y))
x
(+.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x)) (.f64 y (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x)))
(.f64 (.f64 x (exp.f64 (*.f64 1 (neg.f64 (log.f64 y))))) (+.f64 -1 y))
(.f64 (exp.f64 (neg.f64 (log.f64 y))) (.f64 x (+.f64 y -1)))
(*.f64 (/.f64 x y) (+.f64 y -1))
(-.f64 x (/.f64 x y))
(+.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x)) (+.f64 (/.f64 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x) y) (.f64 y (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x))))
(fma.f64 -1 (.f64 x (exp.f64 (.f64 1 (neg.f64 (log.f64 y))))) (+.f64 (.f64 y (.f64 x (exp.f64 (.f64 1 (neg.f64 (log.f64 y)))))) (/.f64 (exp.f64 (.f64 1 (neg.f64 (log.f64 y)))) (/.f64 y x))))
(+.f64 (.f64 (/.f64 (exp.f64 (neg.f64 (log.f64 y))) y) x) (.f64 (exp.f64 (neg.f64 (log.f64 y))) (*.f64 x (+.f64 y -1))))
(fma.f64 (/.f64 x y) (+.f64 y -1) (/.f64 x (*.f64 y y)))
(+.f64 x (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x y)))
(+.f64 (.f64 -1 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x)) (+.f64 (/.f64 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x) y) (+.f64 (.f64 -1 (/.f64 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (pow.f64 y 2))) (.f64 y (.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) x)))))
(fma.f64 -1 (.f64 x (exp.f64 (.f64 1 (neg.f64 (log.f64 y))))) (+.f64 (/.f64 (exp.f64 (.f64 1 (neg.f64 (log.f64 y)))) (/.f64 y x)) (fma.f64 -1 (/.f64 (exp.f64 (.f64 1 (neg.f64 (log.f64 y)))) (/.f64 (.f64 y y) x)) (.f64 y (.f64 x (exp.f64 (.f64 1 (neg.f64 (log.f64 y)))))))))
(+.f64 (-.f64 (.f64 (/.f64 (exp.f64 (neg.f64 (log.f64 y))) y) x) (.f64 (/.f64 x y) (/.f64 (exp.f64 (neg.f64 (log.f64 y))) y))) (.f64 (exp.f64 (neg.f64 (log.f64 y))) (.f64 x (+.f64 y -1))))
(-.f64 (fma.f64 (/.f64 x y) (+.f64 y -1) (/.f64 x (*.f64 y y))) (/.f64 x (pow.f64 y 3)))
(+.f64 x (-.f64 (-.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y 3))) (/.f64 x y)))
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(*.f64 y (/.f64 x (+.f64 y 1)))
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(*.f64 y (/.f64 x (+.f64 y 1)))
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(*.f64 x (exp.f64 (neg.f64 (log1p.f64 y))))
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(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 y))))
(/.f64 (*.f64 1 x) (+.f64 y 1))
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(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 y))))
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(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 y))))
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(/.f64 x (+.f64 y 1))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 y))))
(/.f64 (*.f64 1 x) (+.f64 y 1))
(/.f64 x (+.f64 y 1))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 y))))
(/.f64 (*.f64 1 x) (+.f64 y 1))
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(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 y))))
(/.f64 (*.f64 1 x) (+.f64 y 1))
(/.f64 x (+.f64 y 1))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
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(/.f64 x (+.f64 y 1))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 y))))
(/.f64 (*.f64 1 x) (+.f64 y 1))
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(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 y))))
(/.f64 (*.f64 1 x) (+.f64 y 1))
(/.f64 x (+.f64 y 1))
(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 y))))
(/.f64 (*.f64 1 x) (+.f64 y 1))
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(*.f64 (exp.f64 (neg.f64 (log.f64 (+.f64 1 y)))) x)
(*.f64 x (exp.f64 (neg.f64 (log1p.f64 y))))
(/.f64 (*.f64 1 x) (+.f64 y 1))
(/.f64 x (+.f64 y 1))
x
(.f64 y (.f64 x (exp.f64 (*.f64 1 (neg.f64 (log.f64 y))))))
(.f64 y (.f64 x (exp.f64 (neg.f64 (log.f64 y)))))
(*.f64 y (/.f64 x y))
(+.f64 (.f64 -1 (.f64 y x)) x)
(fma.f64 -1 (*.f64 y x) x)
(-.f64 x (*.f64 y x))
(+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (*.f64 y x)) x))
(fma.f64 (.f64 y y) x (fma.f64 -1 (.f64 y x) x))
(fma.f64 x (.f64 y y) (-.f64 x (.f64 y x)))
(fma.f64 x (-.f64 (*.f64 y y) y) x)
(+.f64 (.f64 -1 (.f64 (pow.f64 y 3) x)) (+.f64 (.f64 (pow.f64 y 2) x) (+.f64 (.f64 -1 (*.f64 y x)) x)))
(fma.f64 -1 (.f64 x (pow.f64 y 3)) (fma.f64 (.f64 y y) x (fma.f64 -1 (*.f64 y x) x)))
(-.f64 (fma.f64 x (.f64 y y) (-.f64 x (.f64 y x))) (*.f64 x (pow.f64 y 3)))
(-.f64 x (.f64 x (+.f64 y (-.f64 (pow.f64 y 3) (.f64 y y)))))
(-.f64 x (.f64 x (+.f64 (pow.f64 y 3) (-.f64 y (.f64 y y)))))
(.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x)
(.f64 x (exp.f64 (.f64 1 (neg.f64 (log.f64 y)))))
(*.f64 x (exp.f64 (neg.f64 (log.f64 y))))
(/.f64 x y)
(+.f64 (.f64 (exp.f64 (neg.f64 (.f64 -1 (log.f64 (/.f64 1 y))))) x) (.f64 -1 (/.f64 (.f64 (exp.f64 (neg.f64 (*.f64 -1 (log.f64 (/.f64 1 y))))) x) y)))
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(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
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(fma.f64 x (exp.f64 (neg.f64 (log.f64 y))) (-.f64 (.f64 (/.f64 x y) (/.f64 (exp.f64 (neg.f64 (log.f64 y))) y)) (.f64 (/.f64 (exp.f64 (neg.f64 (log.f64 y))) y) x)))
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(fma.f64 -1 (/.f64 (exp.f64 (.f64 1 (neg.f64 (log.f64 y)))) (/.f64 (pow.f64 y 3) x)) (fma.f64 (exp.f64 (.f64 1 (neg.f64 (log.f64 y)))) x (fma.f64 -1 (/.f64 (exp.f64 (.f64 1 (neg.f64 (log.f64 y)))) (/.f64 y x)) (/.f64 (exp.f64 (.f64 1 (neg.f64 (log.f64 y)))) (/.f64 (*.f64 y y) x)))))
(-.f64 (fma.f64 x (exp.f64 (neg.f64 (log.f64 y))) (-.f64 (.f64 (/.f64 x y) (/.f64 (exp.f64 (neg.f64 (log.f64 y))) y)) (.f64 (/.f64 (exp.f64 (neg.f64 (log.f64 y))) y) x))) (/.f64 x (/.f64 (pow.f64 y 3) (exp.f64 (neg.f64 (log.f64 y))))))
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(.f64 (exp.f64 (neg.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 y))) (log.f64 -1)))) x)
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(-.f64 (/.f64 x y) (/.f64 x (*.f64 y y)))
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(fma.f64 -1 (/.f64 (exp.f64 (.f64 1 (neg.f64 (log.f64 y)))) (/.f64 (pow.f64 y 3) x)) (fma.f64 (exp.f64 (.f64 1 (neg.f64 (log.f64 y)))) x (fma.f64 -1 (/.f64 (exp.f64 (.f64 1 (neg.f64 (log.f64 y)))) (/.f64 y x)) (/.f64 (exp.f64 (.f64 1 (neg.f64 (log.f64 y)))) (/.f64 (*.f64 y y) x)))))
(-.f64 (fma.f64 x (exp.f64 (neg.f64 (log.f64 y))) (-.f64 (.f64 (/.f64 x y) (/.f64 (exp.f64 (neg.f64 (log.f64 y))) y)) (.f64 (/.f64 (exp.f64 (neg.f64 (log.f64 y))) y) x))) (/.f64 x (/.f64 (pow.f64 y 3) (exp.f64 (neg.f64 (log.f64 y))))))
(+.f64 (/.f64 x y) (-.f64 (-.f64 (/.f64 x (pow.f64 y 3)) (/.f64 x (pow.f64 y 4))) (/.f64 x (*.f64 y y))))
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prune67.0ms (3.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	119	0	119
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	119	4	123

Error

Counts

123 → 4

Alt Table

Status	Error	Program
✓	0.0b	(*.f64 x (/.f64 y (+.f64 y 1)))
✓	8.5b	(/.f64 (*.f64 x y) (+.f64 y 1))
✓	23.0b	(.f64 y (.f64 x (exp.f64 (neg.f64 (log1p.f64 y)))))
✓	19.0b	(.f64 x (.f64 y (exp.f64 (neg.f64 (log1p.f64 y)))))

Compiler

Compiled 1961 to 1357 computations (30.8% saved)

regimes29.0ms (1.5%)

Accuracy

Total -24.0b remaining (-154245.9%)

Threshold costs -24.0b (-154245.9%)

Counts

14 → 1

Compiler

Compiled 113 to 61 computations (46% saved)

simplify5.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`
1×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10

Stop Event

1×

saturated

Calls

Call 1

Inputs
(*.f64 x (/.f64 y (+.f64 y 1)))

Outputs
(*.f64 x (/.f64 y (+.f64 y 1)))

end44.0ms (2.4%)

Stop Event

1×

done

Compiler

Compiled 48 to 27 computations (43.8% saved)

Details

analyze221.0ms (11.9%)

sample853.0ms (45.9%)

preprocess16.0ms (0.9%)

simplify8.0ms (0.4%)

prune3.0ms (0.2%)

localize4.0ms (0.2%)

series6.0ms (0.3%)

rewrite44.0ms (2.4%)

simplify42.0ms (2.3%)

prune56.0ms (3%)

localize4.0ms (0.2%)

series2.0ms (0.1%)

rewrite60.0ms (3.2%)

simplify33.0ms (1.8%)

prune39.0ms (2.1%)

localize6.0ms (0.3%)

series52.0ms (2.8%)

rewrite45.0ms (2.5%)

simplify49.0ms (2.6%)

prune76.0ms (4.1%)

localize7.0ms (0.4%)

series6.0ms (0.3%)

rewrite37.0ms (2%)

simplify43.0ms (2.3%)

prune67.0ms (3.6%)

regimes29.0ms (1.5%)

simplify5.0ms (0.2%)

end44.0ms (2.4%)

Profiling