Details

analyze47.0ms (1.5%)

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
18.7%	81.2%	0.1%	5
46.8%	53.1%	0.1%	6
56.2%	43.7%	0.1%	7
71%	28.9%	0.1%	8
76.5%	23.4%	0.1%	9
84.9%	15%	0.1%	10
87.8%	12.1%	0.1%	11
92.2%	7.7%	0.1%	12

Compiler

Compiled 10 to 7 computations (30% saved)

sample712.0ms (22.2%)

Results

699.0ms

8256×

body

256

valid

preprocess18.0ms (0.6%)

Algorithm

2×	egg-herbie

Rules

6×	`*-commutative_binary64`
4×	`associate-/l*_binary64`
4×	`associate-/r/_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	20
1	18	20
2	26	20
3	31	20
4	33	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 100) (+.f64 x y))
(/.f64 (*.f64 y 100) (+.f64 y x))

Outputs
(/.f64 (*.f64 x 100) (+.f64 x y))
(/.f64 x (/.f64 (+.f64 x y) 100))
(*.f64 (/.f64 x (+.f64 x y)) 100)
(*.f64 100 (/.f64 x (+.f64 x y)))
(*.f64 x (/.f64 100 (+.f64 x y)))
(/.f64 (*.f64 y 100) (+.f64 y x))
(/.f64 y (/.f64 (+.f64 x y) 100))
(*.f64 (/.f64 y (+.f64 x y)) 100)
(*.f64 100 (/.f64 y (+.f64 x y)))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	15	10
3	18	10
4	19	10

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(/.f64 (*.f64 x 100) (+.f64 x y))

Outputs
(/.f64 (*.f64 x 100) (+.f64 x y))
(/.f64 x (/.f64 (+.f64 x y) 100))
(*.f64 (/.f64 x (+.f64 x y)) 100)
(*.f64 100 (/.f64 x (+.f64 x y)))
(*.f64 x (/.f64 100 (+.f64 x y)))

eval1.0ms (0%)

Compiler: Compiled 16 to 9 computations (43.8% saved)

prune1.0ms (0%)

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

0.1b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
▶	0.2b	(/.f64 (*.f64 x 100) (+.f64 x y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 100 (+.f64 x y))
✓	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))

Compiler

Compiled 20 to 9 computations (55% saved)

series7.0ms (0.2%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 x (/.f64 100 (+.f64 x y)))
1.0ms	y	@	inf	(*.f64 x (/.f64 100 (+.f64 x y)))
1.0ms	x	@	inf	(*.f64 x (/.f64 100 (+.f64 x y)))
1.0ms	y	@	-inf	(*.f64 x (/.f64 100 (+.f64 x y)))
1.0ms	y	@	0	(*.f64 x (/.f64 100 (+.f64 x y)))

rewrite62.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

874×	`pow1_binary64`
821×	`add-log-exp_binary64`
821×	`log1p-expm1-u_binary64`
821×	`expm1-log1p-u_binary64`
805×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	160	17
2	2204	17

Stop Event

1×	node limit

Counts

2 → 44

Calls

Call 1

Inputs
(*.f64 x (/.f64 100 (+.f64 x y)))
(/.f64 100 (+.f64 x y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 x (/.f64 100 (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (.f64 (+.f64 x y) 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x y) (.f64 x 100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x 100) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 x 100)) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x 100) 1) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x 100) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 x 100) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 -100 x) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x -100) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (/.f64 100 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 x (/.f64 100 (+.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 x (/.f64 100 (+.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 x (/.f64 100 (+.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 x (/.f64 100 (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 100 (+.f64 x y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (.f64 x (/.f64 100 (+.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) (pow.f64 (/.f64 100 (+.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 (/.f64 100 (+.f64 x y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 x (/.f64 100 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 x (/.f64 100 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 100 (+.f64 x y)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 100 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 100 (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 100 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 100 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 100 (+.f64 x y))) (cbrt.f64 (/.f64 10000 (pow.f64 (+.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 10000 (pow.f64 (+.f64 x y) 2))) (cbrt.f64 (/.f64 100 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 10 (sqrt.f64 (+.f64 x y))) (/.f64 10 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -100 (/.f64 1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 x y)) 100)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 100 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 100 (-.f64 (.f64 x x) (.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 100 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 100 (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 100 (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 10 (sqrt.f64 (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (+.f64 x y) 1/100) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 10000 (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 100 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 100 (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 100 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 100 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 100 (+.f64 x y))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 100 (+.f64 x y)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 (+.f64 x y) 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 x y) (*.f64 x 100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 100) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 100)) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 100) 1) (+.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 100) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 100) (sqrt.f64 (+.f64 x y))) (sqrt.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -100 x) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -100) (neg.f64 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 100 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 100 (+.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 100 (+.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 100 (+.f64 x y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 100 (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (/.f64 100 (+.f64 x y))) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 100 (+.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) (pow.f64 (/.f64 100 (+.f64 x y)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (/.f64 100 (+.f64 x y)) 3) (pow.f64 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 100 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 100 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 100 (+.f64 x y)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 100 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 100 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 100 (+.f64 x y))) (cbrt.f64 (/.f64 10000 (pow.f64 (+.f64 x y) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 10000 (pow.f64 (+.f64 x y) 2))) (cbrt.f64 (/.f64 100 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 10 (sqrt.f64 (+.f64 x y))) (/.f64 10 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -100 (/.f64 1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 100 (+.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 100 (+.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 100 (+.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 10 (sqrt.f64 (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) 1/100) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 10000 (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 100 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 100 (+.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 100 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 100 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 100 (+.f64 x y))))))))

simplify127.0ms (4%)

Algorithm

1×	egg-herbie

Rules

655×	`distribute-rgt-out_binary64`
654×	`distribute-lft-out_binary64`
574×	`associate-/r/_binary64`
525×	`associate-/l/_binary64`
472×	`distribute-lft-in_binary64`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	68	1068
1	191	1050
2	576	981
3	2157	912
4	4524	810
5	5948	783
6	7561	783
7	7775	783
8	7936	783

Stop Event

1×	node limit

Counts

92 → 73

Calls

Call 1

Inputs
(*.f64 100 (/.f64 x y))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 100 (/.f64 x y)))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
100
(+.f64 100 (*.f64 -100 (/.f64 y x)))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -100 (/.f64 y x))))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -100 (/.f64 y x)) (*.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
100
(+.f64 100 (*.f64 -100 (/.f64 y x)))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -100 (/.f64 y x))))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -100 (/.f64 y x)) (*.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
100
(+.f64 100 (*.f64 -100 (/.f64 y x)))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -100 (/.f64 y x))))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -100 (/.f64 y x)) (*.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(*.f64 100 (/.f64 x y))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 100 (/.f64 x y)))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(*.f64 100 (/.f64 x y))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 100 (/.f64 x y)))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(/.f64 100 y)
(+.f64 (.f64 100 (/.f64 1 y)) (.f64 -100 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 100 (/.f64 1 y)) (+.f64 (.f64 -100 (/.f64 x (pow.f64 y 2))) (*.f64 100 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(+.f64 (.f64 100 (/.f64 1 y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (+.f64 (.f64 -100 (/.f64 x (pow.f64 y 2))) (.f64 100 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))
(/.f64 100 x)
(+.f64 (.f64 100 (/.f64 1 x)) (.f64 -100 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 100 (/.f64 1 x)) (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 -100 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 100 (/.f64 1 x)) (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 -100 (/.f64 y (pow.f64 x 2))))))
(/.f64 100 x)
(+.f64 (.f64 100 (/.f64 1 x)) (.f64 -100 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 100 (/.f64 1 x)) (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 -100 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 100 (/.f64 1 x)) (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 -100 (/.f64 y (pow.f64 x 2))))))
(/.f64 100 x)
(+.f64 (.f64 100 (/.f64 1 x)) (.f64 -100 (/.f64 y (pow.f64 x 2))))
(+.f64 (.f64 100 (/.f64 1 x)) (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 -100 (/.f64 y (pow.f64 x 2)))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 100 (/.f64 1 x)) (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 -100 (/.f64 y (pow.f64 x 2))))))
(/.f64 100 y)
(+.f64 (.f64 100 (/.f64 1 y)) (.f64 -100 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 100 (/.f64 1 y)) (+.f64 (.f64 -100 (/.f64 x (pow.f64 y 2))) (*.f64 100 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(+.f64 (.f64 100 (/.f64 1 y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (+.f64 (.f64 -100 (/.f64 x (pow.f64 y 2))) (.f64 100 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))
(/.f64 100 y)
(+.f64 (.f64 100 (/.f64 1 y)) (.f64 -100 (/.f64 x (pow.f64 y 2))))
(+.f64 (.f64 100 (/.f64 1 y)) (+.f64 (.f64 -100 (/.f64 x (pow.f64 y 2))) (*.f64 100 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(+.f64 (.f64 100 (/.f64 1 y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (+.f64 (.f64 -100 (/.f64 x (pow.f64 y 2))) (.f64 100 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))

Outputs
(*.f64 100 (/.f64 x y))
(/.f64 100 (/.f64 y x))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 100 (/.f64 x y)))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 100 (/.f64 x y)))
(fma.f64 100 (/.f64 x y) (/.f64 -100 (/.f64 y (/.f64 (*.f64 x x) y))))
(fma.f64 -100 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 100 (/.f64 y x)))
(*.f64 (/.f64 x y) (+.f64 100 (/.f64 -100 (/.f64 y x))))
(.f64 (/.f64 x y) (+.f64 100 (.f64 x (/.f64 -100 y))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 100 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 100 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 -100 (/.f64 y (/.f64 (*.f64 x x) y))))
(fma.f64 100 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (.f64 (/.f64 x y) (.f64 (/.f64 x y) -100)))
(fma.f64 100 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 100 (/.f64 -100 (/.f64 y x)))))
(.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) (+.f64 (*.f64 100 (/.f64 x y)) -100))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 100 (/.f64 x y) (fma.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(fma.f64 -100 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 100 (/.f64 x y) (fma.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(fma.f64 -100 (/.f64 (/.f64 x (/.f64 y x)) y) (fma.f64 100 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (*.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(+.f64 (*.f64 (/.f64 x y) (+.f64 100 (/.f64 -100 (/.f64 y x)))) (fma.f64 -100 (pow.f64 (/.f64 x y) 4) (/.f64 100 (pow.f64 (/.f64 y x) 3))))
(.f64 (+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) 1) (.f64 (/.f64 x y) (+.f64 100 (/.f64 -100 (/.f64 y x)))))
(.f64 (+.f64 (pow.f64 (/.f64 x y) 2) 1) (.f64 (/.f64 x y) (+.f64 100 (*.f64 x (/.f64 -100 y)))))
100
(+.f64 100 (*.f64 -100 (/.f64 y x)))
(fma.f64 -100 (/.f64 y x) 100)
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -100 (/.f64 y x))))
(+.f64 100 (fma.f64 100 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -100 (/.f64 y x))))
(+.f64 (fma.f64 -100 (/.f64 y x) 100) (.f64 100 (/.f64 y (/.f64 (.f64 x x) y))))
(fma.f64 (/.f64 100 x) (/.f64 y (/.f64 x y)) (fma.f64 -100 (/.f64 y x) 100))
(+.f64 100 (.f64 (/.f64 y x) (+.f64 -100 (/.f64 (.f64 100 y) x))))
(fma.f64 100 (pow.f64 (/.f64 y x) 2) (fma.f64 -100 (/.f64 y x) 100))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -100 (/.f64 y x)) (*.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 100 (fma.f64 100 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -100 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 100 (fma.f64 -100 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 100 (/.f64 y (/.f64 (.f64 x x) y)))))
(fma.f64 -100 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 3)) (*.f64 100 (fma.f64 (/.f64 y x) (/.f64 y x) 1)))
(+.f64 100 (fma.f64 -100 (pow.f64 (/.f64 y x) 3) (.f64 (/.f64 y x) (+.f64 -100 (/.f64 (.f64 100 y) x)))))
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (fma.f64 -100 (/.f64 y x) 100))
(*.f64 (+.f64 (pow.f64 (/.f64 y x) 2) 1) (fma.f64 -100 (/.f64 y x) 100))
100
(+.f64 100 (*.f64 -100 (/.f64 y x)))
(fma.f64 -100 (/.f64 y x) 100)
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -100 (/.f64 y x))))
(+.f64 100 (fma.f64 100 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -100 (/.f64 y x))))
(+.f64 (fma.f64 -100 (/.f64 y x) 100) (.f64 100 (/.f64 y (/.f64 (.f64 x x) y))))
(fma.f64 (/.f64 100 x) (/.f64 y (/.f64 x y)) (fma.f64 -100 (/.f64 y x) 100))
(+.f64 100 (.f64 (/.f64 y x) (+.f64 -100 (/.f64 (.f64 100 y) x))))
(fma.f64 100 (pow.f64 (/.f64 y x) 2) (fma.f64 -100 (/.f64 y x) 100))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -100 (/.f64 y x)) (*.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
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(fma.f64 -100 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 3)) (*.f64 100 (fma.f64 (/.f64 y x) (/.f64 y x) 1)))
(+.f64 100 (fma.f64 -100 (pow.f64 (/.f64 y x) 3) (.f64 (/.f64 y x) (+.f64 -100 (/.f64 (.f64 100 y) x)))))
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (fma.f64 -100 (/.f64 y x) 100))
(*.f64 (+.f64 (pow.f64 (/.f64 y x) 2) 1) (fma.f64 -100 (/.f64 y x) 100))
100
(+.f64 100 (*.f64 -100 (/.f64 y x)))
(fma.f64 -100 (/.f64 y x) 100)
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -100 (/.f64 y x))))
(+.f64 100 (fma.f64 100 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -100 (/.f64 y x))))
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(fma.f64 (/.f64 100 x) (/.f64 y (/.f64 x y)) (fma.f64 -100 (/.f64 y x) 100))
(+.f64 100 (.f64 (/.f64 y x) (+.f64 -100 (/.f64 (.f64 100 y) x))))
(fma.f64 100 (pow.f64 (/.f64 y x) 2) (fma.f64 -100 (/.f64 y x) 100))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -100 (/.f64 y x)) (*.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 100 (fma.f64 100 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -100 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 100 (fma.f64 -100 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 100 (/.f64 y (/.f64 (.f64 x x) y)))))
(fma.f64 -100 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 3)) (*.f64 100 (fma.f64 (/.f64 y x) (/.f64 y x) 1)))
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(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (fma.f64 -100 (/.f64 y x) 100))
(*.f64 (+.f64 (pow.f64 (/.f64 y x) 2) 1) (fma.f64 -100 (/.f64 y x) 100))
(*.f64 100 (/.f64 x y))
(/.f64 100 (/.f64 y x))
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(fma.f64 100 (/.f64 x y) (/.f64 -100 (/.f64 y (/.f64 (*.f64 x x) y))))
(fma.f64 -100 (/.f64 (/.f64 x (/.f64 y x)) y) (/.f64 100 (/.f64 y x)))
(*.f64 (/.f64 x y) (+.f64 100 (/.f64 -100 (/.f64 y x))))
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(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 100 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 100 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 -100 (/.f64 y (/.f64 (*.f64 x x) y))))
(fma.f64 100 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (.f64 (/.f64 x y) (.f64 (/.f64 x y) -100)))
(fma.f64 100 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 100 (/.f64 -100 (/.f64 y x)))))
(.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) (+.f64 (*.f64 100 (/.f64 x y)) -100))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 100 (/.f64 x y) (fma.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(fma.f64 -100 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 100 (/.f64 x y) (fma.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(fma.f64 -100 (/.f64 (/.f64 x (/.f64 y x)) y) (fma.f64 100 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (*.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
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(.f64 (+.f64 (pow.f64 (/.f64 x y) 2) 1) (.f64 (/.f64 x y) (+.f64 100 (*.f64 x (/.f64 -100 y)))))
(*.f64 100 (/.f64 x y))
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(*.f64 (/.f64 x y) (+.f64 100 (/.f64 -100 (/.f64 y x))))
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(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 100 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 100 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 -100 (/.f64 y (/.f64 (*.f64 x x) y))))
(fma.f64 100 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (.f64 (/.f64 x y) (.f64 (/.f64 x y) -100)))
(fma.f64 100 (pow.f64 (/.f64 x y) 3) (*.f64 (/.f64 x y) (+.f64 100 (/.f64 -100 (/.f64 y x)))))
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(/.f64 100 y)
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(/.f64 100 x)
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(+.f64 (/.f64 100 x) (.f64 (/.f64 y (.f64 x x)) (+.f64 -100 (/.f64 (*.f64 100 y) x))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 100 (/.f64 1 x)) (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 -100 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 100 x) (fma.f64 100 (/.f64 (.f64 y y) (pow.f64 x 3)) (.f64 -100 (/.f64 y (*.f64 x x))))))
(+.f64 (fma.f64 100 (/.f64 y (/.f64 (pow.f64 x 3) y)) (.f64 -100 (/.f64 y (.f64 x x)))) (fma.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (/.f64 100 x)))
(fma.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 100 (.f64 (/.f64 y (pow.f64 x 3)) y) (fma.f64 -100 (/.f64 y (.f64 x x)) (/.f64 100 x))))
(+.f64 (fma.f64 -100 (/.f64 y (.f64 x x)) (/.f64 100 x)) (.f64 (*.f64 y (/.f64 y (pow.f64 x 3))) (fma.f64 -100 (/.f64 y x) 100)))
(.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (fma.f64 -100 (/.f64 y (.f64 x x)) (/.f64 100 x)))
(.f64 (+.f64 (pow.f64 (/.f64 y x) 2) 1) (fma.f64 -100 (/.f64 y (.f64 x x)) (/.f64 100 x)))
(/.f64 100 x)
(+.f64 (.f64 100 (/.f64 1 x)) (.f64 -100 (/.f64 y (pow.f64 x 2))))
(+.f64 (/.f64 100 x) (.f64 -100 (/.f64 y (.f64 x x))))
(fma.f64 -100 (/.f64 y (*.f64 x x)) (/.f64 100 x))
(+.f64 (.f64 100 (/.f64 1 x)) (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (*.f64 -100 (/.f64 y (pow.f64 x 2)))))
(+.f64 (/.f64 100 x) (fma.f64 100 (/.f64 (.f64 y y) (pow.f64 x 3)) (.f64 -100 (/.f64 y (*.f64 x x)))))
(+.f64 (/.f64 100 x) (fma.f64 100 (/.f64 y (/.f64 (pow.f64 x 3) y)) (.f64 -100 (/.f64 y (.f64 x x)))))
(fma.f64 100 (.f64 (/.f64 y (pow.f64 x 3)) y) (fma.f64 -100 (/.f64 y (.f64 x x)) (/.f64 100 x)))
(+.f64 (/.f64 100 x) (.f64 (/.f64 y (.f64 x x)) (+.f64 -100 (/.f64 (*.f64 100 y) x))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 4))) (+.f64 (.f64 100 (/.f64 1 x)) (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 3))) (.f64 -100 (/.f64 y (pow.f64 x 2))))))
(fma.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (+.f64 (/.f64 100 x) (fma.f64 100 (/.f64 (.f64 y y) (pow.f64 x 3)) (.f64 -100 (/.f64 y (*.f64 x x))))))
(+.f64 (fma.f64 100 (/.f64 y (/.f64 (pow.f64 x 3) y)) (.f64 -100 (/.f64 y (.f64 x x)))) (fma.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (/.f64 100 x)))
(fma.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 4)) (fma.f64 100 (.f64 (/.f64 y (pow.f64 x 3)) y) (fma.f64 -100 (/.f64 y (.f64 x x)) (/.f64 100 x))))
(+.f64 (fma.f64 -100 (/.f64 y (.f64 x x)) (/.f64 100 x)) (.f64 (*.f64 y (/.f64 y (pow.f64 x 3))) (fma.f64 -100 (/.f64 y x) 100)))
(.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (fma.f64 -100 (/.f64 y (.f64 x x)) (/.f64 100 x)))
(.f64 (+.f64 (pow.f64 (/.f64 y x) 2) 1) (fma.f64 -100 (/.f64 y (.f64 x x)) (/.f64 100 x)))
(/.f64 100 y)
(+.f64 (.f64 100 (/.f64 1 y)) (.f64 -100 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 100 y) (.f64 -100 (/.f64 x (.f64 y y))))
(fma.f64 -100 (/.f64 x (*.f64 y y)) (/.f64 100 y))
(+.f64 (.f64 100 (/.f64 1 y)) (+.f64 (.f64 -100 (/.f64 x (pow.f64 y 2))) (*.f64 100 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(+.f64 (/.f64 100 y) (fma.f64 -100 (/.f64 x (.f64 y y)) (.f64 100 (/.f64 (*.f64 x x) (pow.f64 y 3)))))
(+.f64 (fma.f64 -100 (/.f64 x (.f64 y y)) (/.f64 100 y)) (/.f64 100 (/.f64 (pow.f64 y 3) (.f64 x x))))
(fma.f64 100 (.f64 (/.f64 x (pow.f64 y 3)) x) (fma.f64 -100 (/.f64 x (.f64 y y)) (/.f64 100 y)))
(+.f64 (/.f64 100 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -100 (*.f64 100 (/.f64 x y)))))
(+.f64 (/.f64 100 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 (*.f64 100 (/.f64 x y)) -100)))
(+.f64 (.f64 100 (/.f64 1 y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (+.f64 (.f64 -100 (/.f64 x (pow.f64 y 2))) (.f64 100 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))
(+.f64 (/.f64 100 y) (fma.f64 -100 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (fma.f64 -100 (/.f64 x (.f64 y y)) (.f64 100 (/.f64 (*.f64 x x) (pow.f64 y 3))))))
(+.f64 (/.f64 100 y) (fma.f64 -100 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (fma.f64 100 (/.f64 x (/.f64 (pow.f64 y 3) x)) (.f64 -100 (/.f64 x (.f64 y y))))))
(fma.f64 -100 (+.f64 (/.f64 x (.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (fma.f64 100 (.f64 (/.f64 x (pow.f64 y 3)) x) (/.f64 100 y)))
(+.f64 (/.f64 100 y) (fma.f64 -100 (/.f64 x (.f64 y y)) (.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (+.f64 100 (/.f64 -100 (/.f64 y x))))))
(.f64 (+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) 1) (fma.f64 -100 (/.f64 x (.f64 y y)) (/.f64 100 y)))
(.f64 (+.f64 (pow.f64 (/.f64 x y) 2) 1) (fma.f64 -100 (/.f64 x (.f64 y y)) (/.f64 100 y)))
(/.f64 100 y)
(+.f64 (.f64 100 (/.f64 1 y)) (.f64 -100 (/.f64 x (pow.f64 y 2))))
(+.f64 (/.f64 100 y) (.f64 -100 (/.f64 x (.f64 y y))))
(fma.f64 -100 (/.f64 x (*.f64 y y)) (/.f64 100 y))
(+.f64 (.f64 100 (/.f64 1 y)) (+.f64 (.f64 -100 (/.f64 x (pow.f64 y 2))) (*.f64 100 (/.f64 (pow.f64 x 2) (pow.f64 y 3)))))
(+.f64 (/.f64 100 y) (fma.f64 -100 (/.f64 x (.f64 y y)) (.f64 100 (/.f64 (*.f64 x x) (pow.f64 y 3)))))
(+.f64 (fma.f64 -100 (/.f64 x (.f64 y y)) (/.f64 100 y)) (/.f64 100 (/.f64 (pow.f64 y 3) (.f64 x x))))
(fma.f64 100 (.f64 (/.f64 x (pow.f64 y 3)) x) (fma.f64 -100 (/.f64 x (.f64 y y)) (/.f64 100 y)))
(+.f64 (/.f64 100 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 -100 (*.f64 100 (/.f64 x y)))))
(+.f64 (/.f64 100 y) (.f64 (/.f64 x (.f64 y y)) (+.f64 (*.f64 100 (/.f64 x y)) -100)))
(+.f64 (.f64 100 (/.f64 1 y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (+.f64 (.f64 -100 (/.f64 x (pow.f64 y 2))) (.f64 100 (/.f64 (pow.f64 x 2) (pow.f64 y 3))))))
(+.f64 (/.f64 100 y) (fma.f64 -100 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (fma.f64 -100 (/.f64 x (.f64 y y)) (.f64 100 (/.f64 (*.f64 x x) (pow.f64 y 3))))))
(+.f64 (/.f64 100 y) (fma.f64 -100 (/.f64 (pow.f64 x 3) (pow.f64 y 4)) (fma.f64 100 (/.f64 x (/.f64 (pow.f64 y 3) x)) (.f64 -100 (/.f64 x (.f64 y y))))))
(fma.f64 -100 (+.f64 (/.f64 x (.f64 y y)) (/.f64 (pow.f64 x 3) (pow.f64 y 4))) (fma.f64 100 (.f64 (/.f64 x (pow.f64 y 3)) x) (/.f64 100 y)))
(+.f64 (/.f64 100 y) (fma.f64 -100 (/.f64 x (.f64 y y)) (.f64 (/.f64 x (/.f64 (pow.f64 y 3) x)) (+.f64 100 (/.f64 -100 (/.f64 y x))))))
(.f64 (+.f64 (/.f64 (/.f64 x (/.f64 y x)) y) 1) (fma.f64 -100 (/.f64 x (.f64 y y)) (/.f64 100 y)))
(.f64 (+.f64 (pow.f64 (/.f64 x y) 2) 1) (fma.f64 -100 (/.f64 x (.f64 y y)) (/.f64 100 y)))

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 x 100) (+.f64 x y))

Compiler

Compiled 18 to 9 computations (50% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(/.f64 (*.f64 x 100) (+.f64 x y))
0.0ms	y	@	-inf	(/.f64 (*.f64 x 100) (+.f64 x y))
0.0ms	y	@	inf	(/.f64 (*.f64 x 100) (+.f64 x y))
0.0ms	x	@	inf	(/.f64 (*.f64 x 100) (+.f64 x y))
0.0ms	x	@	-inf	(/.f64 (*.f64 x 100) (+.f64 x y))

rewrite61.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

930×	`pow1_binary64`
875×	`add-log-exp_binary64`
875×	`log1p-expm1-u_binary64`
875×	`expm1-log1p-u_binary64`
858×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	159	10
2	2299	10

Stop Event

1×	node limit

Counts

1 → 43

Calls

Call 1

Inputs
(/.f64 (*.f64 x 100) (+.f64 x y))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (.f64 (+.f64 x y) 1/100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (/.f64 1 (.f64 (+.f64 x y) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 x (.f64 100 (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 100 (/.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 100 (.f64 x (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x 100) (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (.f64 (+.f64 x y) 1/100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (/.f64 x (.f64 (+.f64 x y) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (cbrt.f64 (/.f64 x (.f64 (+.f64 x y) 1/100))) (pow.f64 (cbrt.f64 (/.f64 x (.f64 (+.f64 x y) 1/100))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (/.f64 x (.f64 (+.f64 x y) 1/100))) 2) (cbrt.f64 (/.f64 x (.f64 (+.f64 x y) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (pow.f64 (cbrt.f64 (.f64 x 100)) 2) (.f64 (cbrt.f64 (.f64 x 100)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (sqrt.f64 (/.f64 x (.f64 (+.f64 x y) 1/100))) (sqrt.f64 (/.f64 x (.f64 (+.f64 x y) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 10 (sqrt.f64 x)) (.f64 (.f64 10 (sqrt.f64 x)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 x -100) (/.f64 1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (+.f64 x y)) (.f64 x 100))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x 1) (/.f64 100 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (+.f64 x y)) 100)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 100)) 2) 1) (/.f64 (cbrt.f64 (.f64 x 100)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 10 (sqrt.f64 x)) 1) (/.f64 (.f64 10 (sqrt.f64 x)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 100 (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 100 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 x (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (.f64 x 100) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 100)) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (/.f64 x (.f64 (+.f64 x y) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 10 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (.f64 10 (sqrt.f64 x)) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (/.f64 100 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 100 (sqrt.f64 (+.f64 x y))) (/.f64 x (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (/.f64 (.f64 x 100) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (pow.f64 (cbrt.f64 (.f64 x 100)) 2) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 (.f64 x 100)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x 100) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (.f64 x 100) (-.f64 (.f64 x x) (.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (.f64 (+.f64 x y) 1/100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (.f64 (+.f64 x y) 1/100)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (.f64 (+.f64 x y) 1/100))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (.f64 (+.f64 x y) 1/100))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/100 (/.f64 (+.f64 x y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (.f64 x 100) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (.f64 (+.f64 x y) 1/100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (.f64 (+.f64 x y) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (.f64 (+.f64 x y) 1/100)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (.f64 x 100) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (.f64 (+.f64 x y) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (.f64 (+.f64 x y) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (.f64 (+.f64 x y) 1/100))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (/.f64 x (*.f64 (+.f64 x y) 1/100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 1 (*.f64 (+.f64 x y) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 100 (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (*.f64 x (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 100) (/.f64 1 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (*.f64 (+.f64 x y) 1/100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 x (*.f64 (+.f64 x y) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (/.f64 x (*.f64 (+.f64 x y) 1/100))) (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (+.f64 x y) 1/100))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (/.f64 x (*.f64 (+.f64 x y) 1/100))) 2) (cbrt.f64 (/.f64 x (*.f64 (+.f64 x y) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x 100)) 2) (*.f64 (cbrt.f64 (*.f64 x 100)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (/.f64 x (*.f64 (+.f64 x y) 1/100))) (sqrt.f64 (/.f64 x (*.f64 (+.f64 x y) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 10 (sqrt.f64 x)) (*.f64 (*.f64 10 (sqrt.f64 x)) (/.f64 1 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -100) (/.f64 1 (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) (*.f64 x 100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 100 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x y)) 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 100)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 100)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 10 (sqrt.f64 x)) 1) (/.f64 (*.f64 10 (sqrt.f64 x)) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 100 (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 x (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (*.f64 x 100) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 100)) 2) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (cbrt.f64 (/.f64 x (*.f64 (+.f64 x y) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 10 (sqrt.f64 x)) (pow.f64 (cbrt.f64 (+.f64 x y)) 2)) (/.f64 (*.f64 10 (sqrt.f64 x)) (cbrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 (+.f64 x y))) (/.f64 100 (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (sqrt.f64 (+.f64 x y))) (/.f64 x (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 (+.f64 x y))) (/.f64 (*.f64 x 100) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 100)) 2) (sqrt.f64 (+.f64 x y))) (/.f64 (cbrt.f64 (*.f64 x 100)) (sqrt.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 100) (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x 100) (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 x (*.f64 (+.f64 x y) 1/100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 x y) 1/100)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (/.f64 x (*.f64 (+.f64 x y) 1/100))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (/.f64 x (*.f64 (+.f64 x y) 1/100))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/100 (/.f64 (+.f64 x y) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 x 100) (neg.f64 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 x y) 1/100)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 x (*.f64 (+.f64 x y) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 x (*.f64 (+.f64 x y) 1/100)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 x 100) 3) (pow.f64 (+.f64 x y) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 x (*.f64 (+.f64 x y) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 x (*.f64 (+.f64 x y) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (/.f64 x (*.f64 (+.f64 x y) 1/100))))))))

simplify55.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

880×	`fma-def_binary64`
708×	`associate-/r*_binary64`
650×	`associate-*l/_binary64`
530×	`associate-r_binary64`
472×	`associate-l_binary64`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	40	522
1	117	516
2	351	474
3	1390	426
4	7821	378

Stop Event

1×	node limit

Counts

67 → 58

Calls

Call 1

Inputs
(*.f64 100 (/.f64 x y))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 100 (/.f64 x y)))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
100
(+.f64 100 (*.f64 -100 (/.f64 y x)))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -100 (/.f64 y x))))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -100 (/.f64 y x)) (*.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
100
(+.f64 100 (*.f64 -100 (/.f64 y x)))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -100 (/.f64 y x))))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -100 (/.f64 y x)) (*.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
100
(+.f64 100 (*.f64 -100 (/.f64 y x)))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -100 (/.f64 y x))))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -100 (/.f64 y x)) (*.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(*.f64 100 (/.f64 x y))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 100 (/.f64 x y)))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(*.f64 100 (/.f64 x y))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 100 (/.f64 x y)))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))

Outputs
(*.f64 100 (/.f64 x y))
(/.f64 100 (/.f64 y x))
(/.f64 x (/.f64 y 100))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 100 (/.f64 x y)))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 100 (/.f64 x y)))
(fma.f64 100 (/.f64 x y) (/.f64 (.f64 -100 (.f64 x x)) (*.f64 y y)))
(fma.f64 100 (/.f64 x y) (.f64 (/.f64 x y) (.f64 (/.f64 x y) -100)))
(.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) -100)))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 100 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 100 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (.f64 -100 (.f64 x x)) (*.f64 y y)))
(fma.f64 100 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (.f64 (/.f64 x y) (.f64 (/.f64 x y) -100)))
(fma.f64 100 (pow.f64 (/.f64 x y) 3) (.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) -100))))
(.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) (+.f64 (/.f64 x (/.f64 y 100)) -100))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 100 (/.f64 x y) (fma.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(fma.f64 -100 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 100 (/.f64 x y) (fma.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(fma.f64 -100 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 100 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(fma.f64 100 (pow.f64 (/.f64 x y) 3) (fma.f64 -100 (pow.f64 (/.f64 x y) 4) (.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) -100)))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (.f64 (/.f64 x y) (+.f64 100 (*.f64 (/.f64 x y) -100))))
100
(+.f64 100 (*.f64 -100 (/.f64 y x)))
(fma.f64 -100 (/.f64 y x) 100)
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -100 (/.f64 y x))))
(+.f64 100 (fma.f64 100 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -100 (/.f64 y x))))
(+.f64 (fma.f64 -100 (/.f64 y x) 100) (.f64 (/.f64 100 x) (/.f64 (.f64 y y) x)))
(fma.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) 100 (*.f64 -100 (/.f64 y x)))
(+.f64 100 (.f64 (/.f64 y x) (+.f64 -100 (.f64 100 (/.f64 y x)))))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -100 (/.f64 y x)) (*.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 100 (fma.f64 100 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -100 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 100 (fma.f64 -100 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 (/.f64 100 x) (/.f64 (.f64 y y) x))))
(fma.f64 -100 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 3)) (*.f64 100 (fma.f64 (/.f64 y x) (/.f64 y x) 1)))
(+.f64 100 (fma.f64 -100 (pow.f64 (/.f64 y x) 3) (.f64 (/.f64 y x) (+.f64 -100 (.f64 100 (/.f64 y x))))))
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (fma.f64 -100 (/.f64 y x) 100))
100
(+.f64 100 (*.f64 -100 (/.f64 y x)))
(fma.f64 -100 (/.f64 y x) 100)
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -100 (/.f64 y x))))
(+.f64 100 (fma.f64 100 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -100 (/.f64 y x))))
(+.f64 (fma.f64 -100 (/.f64 y x) 100) (.f64 (/.f64 100 x) (/.f64 (.f64 y y) x)))
(fma.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) 100 (*.f64 -100 (/.f64 y x)))
(+.f64 100 (.f64 (/.f64 y x) (+.f64 -100 (.f64 100 (/.f64 y x)))))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -100 (/.f64 y x)) (*.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 100 (fma.f64 100 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -100 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 100 (fma.f64 -100 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 (/.f64 100 x) (/.f64 (.f64 y y) x))))
(fma.f64 -100 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 3)) (*.f64 100 (fma.f64 (/.f64 y x) (/.f64 y x) 1)))
(+.f64 100 (fma.f64 -100 (pow.f64 (/.f64 y x) 3) (.f64 (/.f64 y x) (+.f64 -100 (.f64 100 (/.f64 y x))))))
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (fma.f64 -100 (/.f64 y x) 100))
100
(+.f64 100 (*.f64 -100 (/.f64 y x)))
(fma.f64 -100 (/.f64 y x) 100)
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -100 (/.f64 y x))))
(+.f64 100 (fma.f64 100 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -100 (/.f64 y x))))
(+.f64 (fma.f64 -100 (/.f64 y x) 100) (.f64 (/.f64 100 x) (/.f64 (.f64 y y) x)))
(fma.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) 100 (*.f64 -100 (/.f64 y x)))
(+.f64 100 (.f64 (/.f64 y x) (+.f64 -100 (.f64 100 (/.f64 y x)))))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -100 (/.f64 y x)) (*.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 100 (fma.f64 100 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -100 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 100 (fma.f64 -100 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))) (.f64 (/.f64 100 x) (/.f64 (.f64 y y) x))))
(fma.f64 -100 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 3)) (*.f64 100 (fma.f64 (/.f64 y x) (/.f64 y x) 1)))
(+.f64 100 (fma.f64 -100 (pow.f64 (/.f64 y x) 3) (.f64 (/.f64 y x) (+.f64 -100 (.f64 100 (/.f64 y x))))))
(*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) (fma.f64 -100 (/.f64 y x) 100))
(*.f64 100 (/.f64 x y))
(/.f64 100 (/.f64 y x))
(/.f64 x (/.f64 y 100))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 100 (/.f64 x y)))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 100 (/.f64 x y)))
(fma.f64 100 (/.f64 x y) (/.f64 (.f64 -100 (.f64 x x)) (*.f64 y y)))
(fma.f64 100 (/.f64 x y) (.f64 (/.f64 x y) (.f64 (/.f64 x y) -100)))
(.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) -100)))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 100 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 100 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (.f64 -100 (.f64 x x)) (*.f64 y y)))
(fma.f64 100 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (.f64 (/.f64 x y) (.f64 (/.f64 x y) -100)))
(fma.f64 100 (pow.f64 (/.f64 x y) 3) (.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) -100))))
(.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) (+.f64 (/.f64 x (/.f64 y 100)) -100))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 100 (/.f64 x y) (fma.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(fma.f64 -100 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 100 (/.f64 x y) (fma.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(fma.f64 -100 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 100 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(fma.f64 100 (pow.f64 (/.f64 x y) 3) (fma.f64 -100 (pow.f64 (/.f64 x y) 4) (.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) -100)))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (.f64 (/.f64 x y) (+.f64 100 (*.f64 (/.f64 x y) -100))))
(*.f64 100 (/.f64 x y))
(/.f64 100 (/.f64 y x))
(/.f64 x (/.f64 y 100))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 100 (/.f64 x y)))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 100 (/.f64 x y)))
(fma.f64 100 (/.f64 x y) (/.f64 (.f64 -100 (.f64 x x)) (*.f64 y y)))
(fma.f64 100 (/.f64 x y) (.f64 (/.f64 x y) (.f64 (/.f64 x y) -100)))
(.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) -100)))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 100 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 100 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (.f64 -100 (.f64 x x)) (*.f64 y y)))
(fma.f64 100 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (.f64 (/.f64 x y) (.f64 (/.f64 x y) -100)))
(fma.f64 100 (pow.f64 (/.f64 x y) 3) (.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) -100))))
(.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) (+.f64 (/.f64 x (/.f64 y 100)) -100))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 100 (/.f64 x y) (fma.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(fma.f64 -100 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 100 (/.f64 x y) (fma.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(fma.f64 -100 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 100 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(fma.f64 100 (pow.f64 (/.f64 x y) 3) (fma.f64 -100 (pow.f64 (/.f64 x y) 4) (.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) -100)))))
(.f64 (fma.f64 (/.f64 x y) (/.f64 x y) 1) (.f64 (/.f64 x y) (+.f64 100 (*.f64 (/.f64 x y) -100))))

eval31.0ms (1%)

Compiler: Compiled 1701 to 985 computations (42.1% saved)

prune23.0ms (0.7%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	125	6	131
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	125	8	133

Error

Counts

133 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 (*.f64 x 100) (+.f64 x y))
	29.1b	100
✓	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
▶	34.4b	(/.f64 x (/.f64 y 100))
▶	34.4b	(*.f64 100 (/.f64 x y))
▶	29.2b	(*.f64 x (/.f64 100 x))
▶	34.7b	(/.f64 100 (/.f64 y x))
▶	0.2b	(/.f64 x (*.f64 (+.f64 x y) 1/100))

Compiler

Compiled 95 to 67 computations (29.5% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 (+.f64 x y) 1/100)
✓	0.2b	(/.f64 x (*.f64 (+.f64 x y) 1/100))

Compiler

Compiled 20 to 9 computations (55% saved)

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	x	@	-inf	(*.f64 (+.f64 x y) 1/100)
0.0ms	x	@	inf	(*.f64 (+.f64 x y) 1/100)
0.0ms	y	@	inf	(*.f64 (+.f64 x y) 1/100)
0.0ms	x	@	0	(/.f64 x (*.f64 (+.f64 x y) 1/100))
0.0ms	x	@	0	(*.f64 (+.f64 x y) 1/100)

rewrite58.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

942×	`pow1_binary64`
887×	`add-log-exp_binary64`
887×	`log1p-expm1-u_binary64`
887×	`expm1-log1p-u_binary64`
81×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	17
1	159	17
2	2321	17

Stop Event

1×	node limit

Counts

2 → 59

Calls

Call 1

Inputs
(/.f64 x (*.f64 (+.f64 x y) 1/100))
(*.f64 (+.f64 x y) 1/100)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (/.f64 100 (+.f64 x y))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 100 (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 100 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 100 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 100 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 100 (+.f64 x y)))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 100 (+.f64 x y)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 100 (+.f64 x y)))) 2) (cbrt.f64 (*.f64 x (/.f64 100 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 100 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 1/10) (/.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 (+.f64 x y) -1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (+.f64 x y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (+.f64 x y)) 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 (+.f64 x y) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 (+.f64 x y) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (+.f64 x y)) (/.f64 (sqrt.f64 x) 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 x y)) (/.f64 x 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (+.f64 x y)) (/.f64 (cbrt.f64 x) 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1/100) (/.f64 (sqrt.f64 x) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 x (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1/100) (/.f64 (cbrt.f64 x) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 1/100)) 2)) (/.f64 x (cbrt.f64 (*.f64 (+.f64 x y) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 1/100)) 2)) (cbrt.f64 (*.f64 x (/.f64 100 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 1/100)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 (+.f64 x y) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 1/10 (sqrt.f64 (+.f64 x y)))) (/.f64 x (*.f64 1/10 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 1/10 (sqrt.f64 (+.f64 x y)))) (/.f64 (cbrt.f64 x) (*.f64 1/10 (sqrt.f64 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 100 (+.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 100 (+.f64 x y))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 100 (+.f64 x y)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (sqrt.f64 (/.f64 x (+.f64 x y))) 1/10) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 x y) (/.f64 x 1/100)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 (+.f64 x y) -1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 100 (+.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 100 (+.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (/.f64 100 (+.f64 x y))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 100 (+.f64 x y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 (+.f64 x y) 1/100) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 100 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 100 (+.f64 x y)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 100 (+.f64 x y)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x 1/100) (*.f64 y 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 y 1/100) (*.f64 x 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/100 x) (*.f64 1/100 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1/100 y) (*.f64 1/100 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x y) 1/100))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 x 3) (pow.f64 y 3)) 1/100) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x x) (*.f64 y y)) 1/100) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/100 (+.f64 (pow.f64 x 3) (pow.f64 y 3))) (fma.f64 x x (*.f64 y (-.f64 y x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1/100 (-.f64 (*.f64 x x) (*.f64 y y))) (-.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 x y) 1/100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 x y) 1/100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 x y) 1/100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/10 (sqrt.f64 (+.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/10000 (pow.f64 (+.f64 x y) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/100) (+.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 x y) 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 x y) 1/100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 x y) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 x y) 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 x y) 1/100)))))))

simplify59.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

890×	`fma-def_binary64`
711×	`associate-/r*_binary64`
651×	`associate-*l/_binary64`
537×	`associate-r_binary64`
479×	`associate-l_binary64`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	45	672
1	130	666
2	368	624
3	1419	576
4	7900	576

Stop Event

1×	node limit

Counts

107 → 79

Calls

Call 1

Inputs
(*.f64 100 (/.f64 x y))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 100 (/.f64 x y)))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
100
(+.f64 100 (*.f64 -100 (/.f64 y x)))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -100 (/.f64 y x))))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -100 (/.f64 y x)) (*.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
100
(+.f64 100 (*.f64 -100 (/.f64 y x)))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -100 (/.f64 y x))))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -100 (/.f64 y x)) (*.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
100
(+.f64 100 (*.f64 -100 (/.f64 y x)))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -100 (/.f64 y x))))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -100 (/.f64 y x)) (*.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(*.f64 100 (/.f64 x y))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 100 (/.f64 x y)))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(*.f64 100 (/.f64 x y))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 100 (/.f64 x y)))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(*.f64 1/100 y)
(+.f64 (.f64 1/100 x) (.f64 1/100 y))
(+.f64 (.f64 1/100 x) (.f64 1/100 y))
(+.f64 (.f64 1/100 x) (.f64 1/100 y))
(*.f64 1/100 x)
(+.f64 (.f64 1/100 y) (.f64 1/100 x))
(+.f64 (.f64 1/100 y) (.f64 1/100 x))
(+.f64 (.f64 1/100 y) (.f64 1/100 x))
(*.f64 1/100 x)
(+.f64 (.f64 1/100 y) (.f64 1/100 x))
(+.f64 (.f64 1/100 y) (.f64 1/100 x))
(+.f64 (.f64 1/100 y) (.f64 1/100 x))
(*.f64 1/100 x)
(+.f64 (.f64 1/100 y) (.f64 1/100 x))
(+.f64 (.f64 1/100 y) (.f64 1/100 x))
(+.f64 (.f64 1/100 y) (.f64 1/100 x))
(*.f64 1/100 y)
(+.f64 (.f64 1/100 x) (.f64 1/100 y))
(+.f64 (.f64 1/100 x) (.f64 1/100 y))
(+.f64 (.f64 1/100 x) (.f64 1/100 y))
(*.f64 1/100 y)
(+.f64 (.f64 1/100 x) (.f64 1/100 y))
(+.f64 (.f64 1/100 x) (.f64 1/100 y))
(+.f64 (.f64 1/100 x) (.f64 1/100 y))

Outputs
(*.f64 100 (/.f64 x y))
(/.f64 (*.f64 100 x) y)
(/.f64 100 (/.f64 y x))
(*.f64 x (/.f64 100 y))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 100 (/.f64 x y)))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 100 (/.f64 x y)))
(fma.f64 100 (/.f64 x y) (/.f64 (.f64 -100 (.f64 x x)) (*.f64 y y)))
(fma.f64 100 (/.f64 x y) (.f64 (/.f64 x y) (.f64 (/.f64 x y) -100)))
(.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) -100)))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 100 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 100 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (.f64 -100 (.f64 x x)) (*.f64 y y)))
(fma.f64 100 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (.f64 (/.f64 x y) (.f64 (/.f64 x y) -100)))
(fma.f64 100 (pow.f64 (/.f64 x y) 3) (.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) -100))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 100 (/.f64 x y) (fma.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(fma.f64 -100 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 100 (/.f64 x y) (fma.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(fma.f64 -100 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 100 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(fma.f64 100 (pow.f64 (/.f64 x y) 3) (fma.f64 -100 (pow.f64 (/.f64 x y) 4) (.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) -100)))))
100
(+.f64 100 (*.f64 -100 (/.f64 y x)))
(fma.f64 -100 (/.f64 y x) 100)
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -100 (/.f64 y x))))
(+.f64 100 (fma.f64 100 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -100 (/.f64 y x))))
(+.f64 (fma.f64 -100 (/.f64 y x) 100) (.f64 (/.f64 100 x) (/.f64 (.f64 y y) x)))
(fma.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) 100 (*.f64 -100 (/.f64 y x)))
(+.f64 100 (.f64 (/.f64 y x) (+.f64 -100 (.f64 100 (/.f64 y x)))))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -100 (/.f64 y x)) (*.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 100 (fma.f64 100 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -100 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 100 (fma.f64 100 (.f64 (/.f64 y x) (/.f64 y x)) (.f64 -100 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(fma.f64 100 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -100 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 3)) 100))
(+.f64 100 (fma.f64 -100 (pow.f64 (/.f64 y x) 3) (.f64 (/.f64 y x) (+.f64 -100 (.f64 100 (/.f64 y x))))))
100
(+.f64 100 (*.f64 -100 (/.f64 y x)))
(fma.f64 -100 (/.f64 y x) 100)
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -100 (/.f64 y x))))
(+.f64 100 (fma.f64 100 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -100 (/.f64 y x))))
(+.f64 (fma.f64 -100 (/.f64 y x) 100) (.f64 (/.f64 100 x) (/.f64 (.f64 y y) x)))
(fma.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) 100 (*.f64 -100 (/.f64 y x)))
(+.f64 100 (.f64 (/.f64 y x) (+.f64 -100 (.f64 100 (/.f64 y x)))))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -100 (/.f64 y x)) (*.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 100 (fma.f64 100 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -100 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 100 (fma.f64 100 (.f64 (/.f64 y x) (/.f64 y x)) (.f64 -100 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(fma.f64 100 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -100 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 3)) 100))
(+.f64 100 (fma.f64 -100 (pow.f64 (/.f64 y x) 3) (.f64 (/.f64 y x) (+.f64 -100 (.f64 100 (/.f64 y x))))))
100
(+.f64 100 (*.f64 -100 (/.f64 y x)))
(fma.f64 -100 (/.f64 y x) 100)
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (.f64 -100 (/.f64 y x))))
(+.f64 100 (fma.f64 100 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -100 (/.f64 y x))))
(+.f64 (fma.f64 -100 (/.f64 y x) 100) (.f64 (/.f64 100 x) (/.f64 (.f64 y y) x)))
(fma.f64 (fma.f64 (/.f64 y x) (/.f64 y x) 1) 100 (*.f64 -100 (/.f64 y x)))
(+.f64 100 (.f64 (/.f64 y x) (+.f64 -100 (.f64 100 (/.f64 y x)))))
(+.f64 100 (+.f64 (.f64 100 (/.f64 (pow.f64 y 2) (pow.f64 x 2))) (+.f64 (.f64 -100 (/.f64 y x)) (*.f64 -100 (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 100 (fma.f64 100 (/.f64 (.f64 y y) (.f64 x x)) (*.f64 -100 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(+.f64 100 (fma.f64 100 (.f64 (/.f64 y x) (/.f64 y x)) (.f64 -100 (+.f64 (/.f64 y x) (/.f64 (pow.f64 y 3) (pow.f64 x 3))))))
(fma.f64 100 (*.f64 (/.f64 y x) (/.f64 y x)) (fma.f64 -100 (+.f64 (/.f64 y x) (pow.f64 (/.f64 y x) 3)) 100))
(+.f64 100 (fma.f64 -100 (pow.f64 (/.f64 y x) 3) (.f64 (/.f64 y x) (+.f64 -100 (.f64 100 (/.f64 y x))))))
(*.f64 100 (/.f64 x y))
(/.f64 (*.f64 100 x) y)
(/.f64 100 (/.f64 y x))
(*.f64 x (/.f64 100 y))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 100 (/.f64 x y)))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 100 (/.f64 x y)))
(fma.f64 100 (/.f64 x y) (/.f64 (.f64 -100 (.f64 x x)) (*.f64 y y)))
(fma.f64 100 (/.f64 x y) (.f64 (/.f64 x y) (.f64 (/.f64 x y) -100)))
(.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) -100)))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 100 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 100 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (.f64 -100 (.f64 x x)) (*.f64 y y)))
(fma.f64 100 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (.f64 (/.f64 x y) (.f64 (/.f64 x y) -100)))
(fma.f64 100 (pow.f64 (/.f64 x y) 3) (.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) -100))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 100 (/.f64 x y) (fma.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(fma.f64 -100 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 100 (/.f64 x y) (fma.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(fma.f64 -100 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 100 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(fma.f64 100 (pow.f64 (/.f64 x y) 3) (fma.f64 -100 (pow.f64 (/.f64 x y) 4) (.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) -100)))))
(*.f64 100 (/.f64 x y))
(/.f64 (*.f64 100 x) y)
(/.f64 100 (/.f64 y x))
(*.f64 x (/.f64 100 y))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (.f64 100 (/.f64 x y)))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 100 (/.f64 x y)))
(fma.f64 100 (/.f64 x y) (/.f64 (.f64 -100 (.f64 x x)) (*.f64 y y)))
(fma.f64 100 (/.f64 x y) (.f64 (/.f64 x y) (.f64 (/.f64 x y) -100)))
(.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) -100)))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (*.f64 100 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3)))))
(fma.f64 100 (+.f64 (/.f64 x y) (/.f64 (pow.f64 x 3) (pow.f64 y 3))) (/.f64 (.f64 -100 (.f64 x x)) (*.f64 y y)))
(fma.f64 100 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (.f64 (/.f64 x y) (.f64 (/.f64 x y) -100)))
(fma.f64 100 (pow.f64 (/.f64 x y) 3) (.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) -100))))
(+.f64 (.f64 -100 (/.f64 (pow.f64 x 2) (pow.f64 y 2))) (+.f64 (.f64 100 (/.f64 x y)) (+.f64 (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))) (.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(fma.f64 -100 (/.f64 (.f64 x x) (.f64 y y)) (fma.f64 100 (/.f64 x y) (fma.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4)) (*.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3))))))
(fma.f64 -100 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 100 (/.f64 x y) (fma.f64 100 (/.f64 (pow.f64 x 3) (pow.f64 y 3)) (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4))))))
(fma.f64 -100 (.f64 (/.f64 x y) (/.f64 x y)) (fma.f64 100 (+.f64 (/.f64 x y) (pow.f64 (/.f64 x y) 3)) (.f64 -100 (/.f64 (pow.f64 x 4) (pow.f64 y 4)))))
(fma.f64 100 (pow.f64 (/.f64 x y) 3) (fma.f64 -100 (pow.f64 (/.f64 x y) 4) (.f64 (/.f64 x y) (+.f64 100 (.f64 (/.f64 x y) -100)))))
(*.f64 1/100 y)
(*.f64 y 1/100)
(+.f64 (.f64 1/100 x) (.f64 1/100 y))
(*.f64 1/100 (+.f64 x y))
(+.f64 (.f64 1/100 x) (.f64 1/100 y))
(*.f64 1/100 (+.f64 x y))
(+.f64 (.f64 1/100 x) (.f64 1/100 y))
(*.f64 1/100 (+.f64 x y))
(*.f64 1/100 x)
(*.f64 x 1/100)
(+.f64 (.f64 1/100 y) (.f64 1/100 x))
(*.f64 1/100 (+.f64 x y))
(+.f64 (.f64 1/100 y) (.f64 1/100 x))
(*.f64 1/100 (+.f64 x y))
(+.f64 (.f64 1/100 y) (.f64 1/100 x))
(*.f64 1/100 (+.f64 x y))
(*.f64 1/100 x)
(*.f64 x 1/100)
(+.f64 (.f64 1/100 y) (.f64 1/100 x))
(*.f64 1/100 (+.f64 x y))
(+.f64 (.f64 1/100 y) (.f64 1/100 x))
(*.f64 1/100 (+.f64 x y))
(+.f64 (.f64 1/100 y) (.f64 1/100 x))
(*.f64 1/100 (+.f64 x y))
(*.f64 1/100 x)
(*.f64 x 1/100)
(+.f64 (.f64 1/100 y) (.f64 1/100 x))
(*.f64 1/100 (+.f64 x y))
(+.f64 (.f64 1/100 y) (.f64 1/100 x))
(*.f64 1/100 (+.f64 x y))
(+.f64 (.f64 1/100 y) (.f64 1/100 x))
(*.f64 1/100 (+.f64 x y))
(*.f64 1/100 y)
(*.f64 y 1/100)
(+.f64 (.f64 1/100 x) (.f64 1/100 y))
(*.f64 1/100 (+.f64 x y))
(+.f64 (.f64 1/100 x) (.f64 1/100 y))
(*.f64 1/100 (+.f64 x y))
(+.f64 (.f64 1/100 x) (.f64 1/100 y))
(*.f64 1/100 (+.f64 x y))
(*.f64 1/100 y)
(*.f64 y 1/100)
(+.f64 (.f64 1/100 x) (.f64 1/100 y))
(*.f64 1/100 (+.f64 x y))
(+.f64 (.f64 1/100 x) (.f64 1/100 y))
(*.f64 1/100 (+.f64 x y))
(+.f64 (.f64 1/100 x) (.f64 1/100 y))
(*.f64 1/100 (+.f64 x y))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 100 (/.f64 x y))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0.1%)

Counts

1 → 0

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 100 (/.f64 x y))
1.0ms	x	@	inf	(*.f64 100 (/.f64 x y))
1.0ms	y	@	inf	(*.f64 100 (/.f64 x y))
1.0ms	y	@	0	(*.f64 100 (/.f64 x y))
0.0ms	x	@	-inf	(*.f64 100 (/.f64 x y))

rewrite111.0ms (3.5%)

Algorithm

1×	batch-egg-rewrite

Rules

650×	`pow1_binary64`
606×	`add-log-exp_binary64`
606×	`log1p-expm1-u_binary64`
606×	`expm1-log1p-u_binary64`
594×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1611	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 100 (/.f64 x y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 100 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 100 (/.f64 y x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 y (*.f64 100 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 x) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 100 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 100 x) 1) y)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 100 x) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 100 x) (sqrt.f64 y)) (sqrt.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 x) 100) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 100 (neg.f64 x)) (neg.f64 y))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 100 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (/.f64 x y) 2) 10000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (/.f64 x y))))))))

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

20 → 20

Calls

Call 1

Inputs

Outputs

localize45.0ms (1.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.8b	(*.f64 x (/.f64 100 x))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 x (/.f64 100 x))
0.0ms	x	@	inf	(*.f64 x (/.f64 100 x))
0.0ms	x	@	-inf	(*.f64 x (/.f64 100 x))

rewrite64.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`pow1_binary64`
512×	`add-sqr-sqrt_binary64`
494×	`add-log-exp_binary64`
494×	`log1p-expm1-u_binary64`
494×	`expm1-log1p-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	110	7
2	1345	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

Inputs
(*.f64 x (/.f64 100 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 100 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 x (*.f64 x 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 x (*.f64 x 100)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x 100) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 x 100)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 100) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 100) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 x 100) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -100 x) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x -100) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 100 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 100 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 100 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (/.f64 100 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 100 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 100 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 100 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 100 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 100 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 100 x))))))))

simplify35.0ms (1.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	12

Stop Event

1×

saturated

Counts

32 → 21

Calls

Call 1

Inputs
100
100
100
100
100
100
100
100
100
100
100
100

Outputs
100
100
100
100
100
100
100
100
100
100
100
100

localize9.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.6b	(/.f64 100 (/.f64 y x))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	y	@	0	(/.f64 100 (/.f64 y x))
0.0ms	y	@	-inf	(/.f64 100 (/.f64 y x))
0.0ms	y	@	inf	(/.f64 100 (/.f64 y x))
0.0ms	x	@	inf	(/.f64 100 (/.f64 y x))
0.0ms	x	@	-inf	(/.f64 100 (/.f64 y x))

rewrite91.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

696×	`pow1_binary64`
653×	`add-log-exp_binary64`
653×	`log1p-expm1-u_binary64`
653×	`expm1-log1p-u_binary64`
640×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	135	7
2	1773	7

Stop Event

1×	node limit

Counts

1 → 26

Calls

Call 1

Inputs
(/.f64 100 (/.f64 y x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 100 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 100 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 100 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 100 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 100 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 100 (/.f64 x y))) 2) (cbrt.f64 (*.f64 100 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 100 (/.f64 x y))) (sqrt.f64 (*.f64 100 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -100 (/.f64 1 (/.f64 (neg.f64 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (neg.f64 y)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 100 y) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 100 y) (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 100 y) (sqrt.f64 x)) (sqrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 100 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (/.f64 y x) 1/100) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (/.f64 10000 (pow.f64 (/.f64 y x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 100) (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (/.f64 x y))))))))

simplify20.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

50 → 26

Calls

Call 1

Inputs
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))

Outputs
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))

localize42.0ms (1.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (/.f64 y 100))

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 x (/.f64 y 100))
0.0ms	y	@	-inf	(/.f64 x (/.f64 y 100))
0.0ms	y	@	0	(/.f64 x (/.f64 y 100))
0.0ms	y	@	inf	(/.f64 x (/.f64 y 100))
0.0ms	x	@	-inf	(/.f64 x (/.f64 y 100))

rewrite94.0ms (2.9%)

Algorithm

1×	batch-egg-rewrite

Rules

712×	`pow1_binary64`
673×	`add-log-exp_binary64`
673×	`log1p-expm1-u_binary64`
673×	`expm1-log1p-u_binary64`
660×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	136	7
2	1811	7

Stop Event

1×	node limit

Counts

1 → 38

Calls

Call 1

Inputs
(/.f64 x (/.f64 y 100))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (/.f64 100 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (/.f64 100 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (/.f64 100 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (/.f64 100 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (/.f64 100 y))) (pow.f64 (cbrt.f64 (*.f64 x (/.f64 100 y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 x (/.f64 100 y))) 2) (cbrt.f64 (*.f64 x (/.f64 100 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (cbrt.f64 x) (/.f64 100 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 10) (*.f64 (sqrt.f64 (/.f64 x y)) 10))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (*.f64 (sqrt.f64 x) (/.f64 100 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 x) (/.f64 1 (*.f64 y -1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x y) 100)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1) (/.f64 (cbrt.f64 x) (*.f64 y 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1) (/.f64 (sqrt.f64 x) (*.f64 y 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 y) (/.f64 x 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) y) (/.f64 (cbrt.f64 x) 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 y 1/100)) 2)) (/.f64 x (cbrt.f64 (*.f64 y 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (pow.f64 (cbrt.f64 (*.f64 y 1/100)) 2)) (cbrt.f64 (*.f64 x (/.f64 100 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) (pow.f64 (cbrt.f64 (*.f64 y 1/100)) 2)) (/.f64 (sqrt.f64 x) (cbrt.f64 (*.f64 y 1/100))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (*.f64 (sqrt.f64 y) 1/10)) (/.f64 x (*.f64 (sqrt.f64 y) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) (*.f64 (sqrt.f64 y) 1/10)) (/.f64 (cbrt.f64 x) (*.f64 (sqrt.f64 y) 1/10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 100 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (neg.f64 y)) -100)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (/.f64 100 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (/.f64 100 y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (/.f64 100 y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (/.f64 x y)) 10) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 y (/.f64 x 1/100)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 x (*.f64 y -1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (/.f64 100 y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (/.f64 100 y)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (/.f64 100 y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 x 3) (pow.f64 (*.f64 y 1/100) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (/.f64 100 y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (/.f64 100 y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (/.f64 100 y))))))))

simplify20.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

62 → 38

Calls

Call 1

Inputs
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))

Outputs
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))

eval113.0ms (3.5%)

Compiler: Compiled 1817 to 1075 computations (40.8% saved)

prune55.0ms (1.7%)

Pruning

10 alts after pruning (3 fresh and 7 done)

	Pruned	Kept	Total
New	182	2	184
Fresh	0	1	1
Picked	0	1	1
Done	0	6	6
Total	182	10	192

Error

Counts

192 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 (*.f64 x 100) (+.f64 x y))
	29.1b	100
✓	29.2b	(*.f64 x (/.f64 100 x))
▶	34.4b	(/.f64 (*.f64 100 x) y)
✓	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
✓	34.4b	(/.f64 x (/.f64 y 100))
✓	34.4b	(*.f64 100 (/.f64 x y))
▶	29.2b	(/.f64 x (*.f64 x 1/100))
✓	34.7b	(/.f64 100 (/.f64 y x))
✓	0.2b	(/.f64 x (*.f64 (+.f64 x y) 1/100))

Compiler

Compiled 72 to 51 computations (29.2% saved)

localize10.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.1b	(*.f64 x 1/100)
✓	0.2b	(/.f64 x (*.f64 x 1/100))

Compiler

Compiled 12 to 8 computations (33.3% saved)

series5.0ms (0.2%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(*.f64 x 1/100)
1.0ms	x	@	-inf	(*.f64 x 1/100)
1.0ms	x	@	0	(*.f64 x 1/100)
1.0ms	x	@	0	(/.f64 x (*.f64 x 1/100))
0.0ms	x	@	inf	(/.f64 x (*.f64 x 1/100))

rewrite77.0ms (2.4%)

Algorithm

1×	batch-egg-rewrite

Rules

539×	`pow1_binary64`
513×	`add-log-exp_binary64`
513×	`log1p-expm1-u_binary64`
513×	`expm1-log1p-u_binary64`
502×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	11
1	109	5
2	1460	5

Stop Event

1×	node limit

Counts

2 → 12

Calls

Call 1

Inputs
(/.f64 x (*.f64 x 1/100))
(*.f64 x 1/100)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 100)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x 1/100)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x 1/100) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x 1/100) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x 1/100)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/10 (sqrt.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/10000 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 1/100) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x 1/100) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x 1/100)))))))

simplify14.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	60
1	6	60

Stop Event

1×

saturated

Counts

36 → 13

Calls

Call 1

Inputs
100
100
100
100
100
100
100
100
100
100
100
100
(*.f64 1/100 x)
(*.f64 1/100 x)
(*.f64 1/100 x)
(*.f64 1/100 x)
(*.f64 1/100 x)
(*.f64 1/100 x)
(*.f64 1/100 x)
(*.f64 1/100 x)
(*.f64 1/100 x)
(*.f64 1/100 x)
(*.f64 1/100 x)
(*.f64 1/100 x)

Outputs
100
100
100
100
100
100
100
100
100
100
100
100
(*.f64 1/100 x)
(*.f64 1/100 x)
(*.f64 1/100 x)
(*.f64 1/100 x)
(*.f64 1/100 x)
(*.f64 1/100 x)
(*.f64 1/100 x)
(*.f64 1/100 x)
(*.f64 1/100 x)
(*.f64 1/100 x)
(*.f64 1/100 x)
(*.f64 1/100 x)

localize10.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (*.f64 100 x) y)

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(/.f64 (*.f64 100 x) y)
0.0ms	x	@	-inf	(/.f64 (*.f64 100 x) y)
0.0ms	y	@	inf	(/.f64 (*.f64 100 x) y)
0.0ms	y	@	0	(/.f64 (*.f64 100 x) y)
0.0ms	y	@	-inf	(/.f64 (*.f64 100 x) y)

rewrite81.0ms (2.5%)

Algorithm

1×	batch-egg-rewrite

Rules

682×	`pow1_binary64`
640×	`add-log-exp_binary64`
640×	`log1p-expm1-u_binary64`
640×	`expm1-log1p-u_binary64`
627×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1680	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 (*.f64 100 x) y)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 100 (/.f64 x y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 1 (/.f64 y x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (*.f64 x (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 100 (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 x) (pow.f64 y -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 100 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 100 (/.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 100 (/.f64 x y))) (pow.f64 (cbrt.f64 (*.f64 100 (/.f64 x y))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 100 (/.f64 x y))) 2) (cbrt.f64 (*.f64 100 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 100 x)) 2) (*.f64 (cbrt.f64 (*.f64 100 x)) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 100 (/.f64 x y))) (sqrt.f64 (*.f64 100 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 100 x)) (*.f64 (sqrt.f64 (*.f64 100 x)) (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x -100) (/.f64 1 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 y -1) (*.f64 100 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 100 y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 y) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 100 x)) 2) 1) (/.f64 (cbrt.f64 (*.f64 100 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 100 x)) 1) (/.f64 (sqrt.f64 (*.f64 100 x)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (pow.f64 (cbrt.f64 y) 2)) (/.f64 100 (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 100 x) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 100 x)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 100 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (*.f64 100 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (sqrt.f64 (*.f64 100 x)) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 100 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x (sqrt.f64 y)) (/.f64 100 (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 100 x) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 100 x)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 100 x)) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 100 (/.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 100 (/.f64 x y)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 100 (/.f64 x y))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 100 (/.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/100 (/.f64 y x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (*.f64 100 x) (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 100 (/.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 100 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 100 (/.f64 x y)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (*.f64 100 x) 3) (pow.f64 y 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 100 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 100 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 100 (/.f64 x y))))))))

simplify38.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

65 → 41

Calls

Call 1

Inputs
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))

Outputs
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))
(*.f64 100 (/.f64 x y))

eval23.0ms (0.7%)

Compiler: Compiled 491 to 324 computations (34% saved)

prune20.0ms (0.6%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	1	1
Picked	0	1	1
Done	0	8	8
Total	54	10	64

Error

Counts

64 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 (*.f64 x 100) (+.f64 x y))
	29.1b	100
✓	29.2b	(*.f64 x (/.f64 100 x))
✓	34.4b	(/.f64 (*.f64 100 x) y)
✓	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
✓	34.4b	(/.f64 x (/.f64 y 100))
✓	34.4b	(*.f64 100 (/.f64 x y))
✓	29.2b	(/.f64 x (*.f64 x 1/100))
✓	34.7b	(/.f64 100 (/.f64 y x))
✓	0.2b	(/.f64 x (*.f64 (+.f64 x y) 1/100))

Compiler

Compiled 72 to 51 computations (29.2% saved)

eval0.0ms (0%)

Compiler: Compiled 2 to 2 computations (0% saved)

prune7.0ms (0.2%)

Pruning

10 alts after pruning (1 fresh and 9 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	9	9
Total	10	10

Error

Counts

10 → 10

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.2b	(/.f64 (*.f64 x 100) (+.f64 x y))
	29.1b	100
✓	29.2b	(*.f64 x (/.f64 100 x))
✓	34.4b	(/.f64 (*.f64 100 x) y)
✓	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
✓	34.4b	(/.f64 x (/.f64 y 100))
✓	34.4b	(*.f64 100 (/.f64 x y))
✓	29.2b	(/.f64 x (*.f64 x 1/100))
✓	34.7b	(/.f64 100 (/.f64 y x))
✓	0.2b	(/.f64 x (*.f64 (+.f64 x y) 1/100))

Compiler

Compiled 72 to 51 computations (29.2% saved)

regimes79.0ms (2.4%)

Counts

10 → 1

Calls

Call 1

Inputs
100
(/.f64 (*.f64 100 x) y)
(/.f64 x (*.f64 x 1/100))
(/.f64 x (/.f64 y 100))
(*.f64 100 (/.f64 x y))
(*.f64 x (/.f64 100 x))
(/.f64 100 (/.f64 y x))
(/.f64 x (*.f64 (+.f64 x y) 1/100))
(*.f64 x (/.f64 100 (+.f64 x y)))
(/.f64 (*.f64 x 100) (+.f64 x y))

Outputs
(*.f64 x (/.f64 100 (+.f64 x y)))

Calls

4 calls:

34.0ms	(/.f64 (*.f64 x 100) (+.f64 x y))
18.0ms	y
13.0ms	x
9.0ms	(/.f64 (*.f64 x 100) (+.f64 x y))

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`
0.2b	1	`(/.f64 (*.f64 x 100) (+.f64 x y))`
0.2b	1	`(/.f64 (*.f64 x 100) (+.f64 x y))`

Compiler

Compiled 78 to 47 computations (39.7% saved)

regimes51.0ms (1.6%)

Counts

8 → 1

Calls

Call 1

Inputs
100
(/.f64 (*.f64 100 x) y)
(/.f64 x (*.f64 x 1/100))
(/.f64 x (/.f64 y 100))
(*.f64 100 (/.f64 x y))
(*.f64 x (/.f64 100 x))
(/.f64 100 (/.f64 y x))
(/.f64 x (*.f64 (+.f64 x y) 1/100))

Outputs
(/.f64 x (*.f64 (+.f64 x y) 1/100))

Calls

2 calls:

36.0ms	x
11.0ms	y

Results

Error	Segments	Branch
0.2b	1	`x`
0.2b	1	`y`

Compiler

Compiled 46 to 29 computations (37% saved)

regimes102.0ms (3.2%)

Counts

7 → 5

Calls

Call 1

Inputs
100
(/.f64 (*.f64 100 x) y)
(/.f64 x (*.f64 x 1/100))
(/.f64 x (/.f64 y 100))
(*.f64 100 (/.f64 x y))
(*.f64 x (/.f64 100 x))
(/.f64 100 (/.f64 y x))

Outputs
100
(/.f64 x (/.f64 y 100))
(*.f64 x (/.f64 100 x))
(/.f64 (*.f64 100 x) y)
100

Calls

2 calls:

50.0ms	x
48.0ms	y

Results

Error	Segments	Branch
13.7b	5	`x`
13.8b	5	`y`

Compiler

Compiled 39 to 25 computations (35.9% saved)

bsearch126.0ms (3.9%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
30.0ms	1.951041023586553e-12	30608.182449309443
30.0ms	6.801818188151072e-90	2.320892963226941e-85
35.0ms	1.4538889935626352e-117	2.654903388408032e-115
31.0ms	-3.9162493988967283e-23	-4.068088719378344e-24

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes62.0ms (1.9%)

Counts

5 → 5

Calls

Call 1

Inputs
100
(/.f64 (*.f64 100 x) y)
(/.f64 x (*.f64 x 1/100))
(/.f64 x (/.f64 y 100))
(*.f64 100 (/.f64 x y))

Outputs
100
(/.f64 x (/.f64 y 100))
100
(/.f64 (*.f64 100 x) y)
100

Calls

2 calls:

40.0ms	y
20.0ms	x

Results

Error	Segments	Branch
13.7b	5	`x`
13.8b	5	`y`

Compiler

Compiled 29 to 19 computations (34.5% saved)

bsearch148.0ms (4.6%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
47.0ms	1.951041023586553e-12	30608.182449309443
18.0ms	6.801818188151072e-90	2.320892963226941e-85
21.0ms	1.4538889935626352e-117	2.654903388408032e-115
62.0ms	-3.9162493988967283e-23	-4.068088719378344e-24

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes62.0ms (1.9%)

Accuracy

Total -48.4b remaining (-353.5%)

Threshold costs -48.4b (-353.5%)

Counts

3 → 5

Calls

Call 1

Inputs
100
(/.f64 (*.f64 100 x) y)
(/.f64 x (*.f64 x 1/100))

Outputs
100
(/.f64 (*.f64 100 x) y)
100
(/.f64 (*.f64 100 x) y)
100

Calls

2 calls:

44.0ms	x
17.0ms	y

Results

Error	Segments	Branch
13.7b	5	`x`
13.8b	5	`y`

Compiler

Compiled 19 to 13 computations (31.6% saved)

bsearch156.0ms (4.8%)

Algorithm

4×	binary-search

Steps

Time	Left	Right
27.0ms	1.951041023586553e-12	30608.182449309443
64.0ms	6.801818188151072e-90	2.320892963226941e-85
34.0ms	1.4538889935626352e-117	2.654903388408032e-115
31.0ms	-3.9162493988967283e-23	-4.068088719378344e-24

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify40.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	34	150
1	39	150

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 x (/.f64 100 (+.f64 x y)))
(/.f64 x (*.f64 (+.f64 x y) 1/100))
(if (<=.f64 x -3331576537273203/85070591730234615865843651857942052864) 100 (if (<=.f64 x 8255803291785075/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (/.f64 x (/.f64 y 100)) (if (<=.f64 x 3899990150185145/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) (.f64 x (/.f64 100 x)) (if (<=.f64 x 1207635900693063/618970019642690137449562112) (/.f64 (.f64 100 x) y) 100))))
(if (<=.f64 x -3331576537273203/85070591730234615865843651857942052864) 100 (if (<=.f64 x 8255803291785075/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (/.f64 x (/.f64 y 100)) (if (<=.f64 x 3899990150185145/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) 100 (if (<=.f64 x 1207635900693063/618970019642690137449562112) (/.f64 (*.f64 100 x) y) 100))))
(if (<=.f64 x -3331576537273203/85070591730234615865843651857942052864) 100 (if (<=.f64 x 8255803291785075/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (/.f64 (.f64 100 x) y) (if (<=.f64 x 3899990150185145/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) 100 (if (<=.f64 x 1207635900693063/618970019642690137449562112) (/.f64 (.f64 100 x) y) 100))))
100

Outputs
(*.f64 x (/.f64 100 (+.f64 x y)))
(/.f64 x (*.f64 (+.f64 x y) 1/100))
(if (<=.f64 x -3331576537273203/85070591730234615865843651857942052864) 100 (if (<=.f64 x 8255803291785075/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (/.f64 x (/.f64 y 100)) (if (<=.f64 x 3899990150185145/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) (.f64 x (/.f64 100 x)) (if (<=.f64 x 1207635900693063/618970019642690137449562112) (/.f64 (.f64 100 x) y) 100))))
(if (<=.f64 x -3331576537273203/85070591730234615865843651857942052864) 100 (if (<=.f64 x 8255803291785075/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (/.f64 x (/.f64 y 100)) (if (<=.f64 x 3899990150185145/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) (.f64 x (/.f64 100 x)) (if (<=.f64 x 1207635900693063/618970019642690137449562112) (/.f64 (.f64 x 100) y) 100))))
(if (<=.f64 x -3331576537273203/85070591730234615865843651857942052864) 100 (if (<=.f64 x 8255803291785075/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (/.f64 x (/.f64 y 100)) (if (<=.f64 x 3899990150185145/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) 100 (if (<=.f64 x 1207635900693063/618970019642690137449562112) (/.f64 (*.f64 100 x) y) 100))))
(if (<=.f64 x -3331576537273203/85070591730234615865843651857942052864) 100 (if (<=.f64 x 8255803291785075/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (/.f64 x (/.f64 y 100)) (if (<=.f64 x 3899990150185145/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) 100 (if (<=.f64 x 1207635900693063/618970019642690137449562112) (/.f64 (*.f64 x 100) y) 100))))
(if (<=.f64 x -3331576537273203/85070591730234615865843651857942052864) 100 (if (<=.f64 x 8255803291785075/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (/.f64 (.f64 100 x) y) (if (<=.f64 x 3899990150185145/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) 100 (if (<=.f64 x 1207635900693063/618970019642690137449562112) (/.f64 (.f64 100 x) y) 100))))
(if (<=.f64 x -3331576537273203/85070591730234615865843651857942052864) 100 (if (<=.f64 x 8255803291785075/5678427533559428832416592249125035424637823130369672345949142181098744438385921275985867583701277855943457200048954515105739075223552) (/.f64 (.f64 x 100) y) (if (<=.f64 x 3899990150185145/573374653997517877902705223825521735199141247292070280934397209846730719022121202017504638277531421638656) 100 (if (<=.f64 x 1207635900693063/618970019642690137449562112) (/.f64 (.f64 x 100) y) 100))))
100

Compiler

Compiled 118 to 86 computations (27.1% saved)

soundness8.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	11	10
2	15	10
3	18	10
4	19	10

Stop Event

1×

saturated

Compiler

Compiled 18 to 12 computations (33.3% saved)

end67.0ms (2.1%)

Compiler: Compiled 108 to 75 computations (30.6% saved)

Details

analyze47.0ms (1.5%)

sample712.0ms (22.2%)

preprocess18.0ms (0.6%)

simplify7.0ms (0.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize7.0ms (0.2%)

series7.0ms (0.2%)

rewrite62.0ms (1.9%)

simplify127.0ms (4%)

localize7.0ms (0.2%)

series2.0ms (0.1%)

rewrite61.0ms (1.9%)

simplify55.0ms (1.7%)

eval31.0ms (1%)

prune23.0ms (0.7%)

localize7.0ms (0.2%)

series4.0ms (0.1%)

rewrite58.0ms (1.8%)

simplify59.0ms (1.8%)

localize5.0ms (0.1%)

series3.0ms (0.1%)

rewrite111.0ms (3.5%)

simplify14.0ms (0.4%)

localize45.0ms (1.4%)

series2.0ms (0%)

rewrite64.0ms (2%)

simplify35.0ms (1.1%)

localize9.0ms (0.3%)

series3.0ms (0.1%)

rewrite91.0ms (2.8%)

simplify20.0ms (0.6%)

localize42.0ms (1.3%)

series3.0ms (0.1%)

rewrite94.0ms (2.9%)

simplify20.0ms (0.6%)

eval113.0ms (3.5%)

prune55.0ms (1.7%)

localize10.0ms (0.3%)

series5.0ms (0.2%)

rewrite77.0ms (2.4%)

simplify14.0ms (0.4%)

localize10.0ms (0.3%)

series3.0ms (0.1%)

rewrite81.0ms (2.5%)

simplify38.0ms (1.2%)

eval23.0ms (0.7%)

prune20.0ms (0.6%)

eval0.0ms (0%)

prune7.0ms (0.2%)

regimes79.0ms (2.4%)

regimes51.0ms (1.6%)

regimes102.0ms (3.2%)

bsearch126.0ms (3.9%)

regimes62.0ms (1.9%)

bsearch148.0ms (4.6%)

regimes62.0ms (1.9%)

bsearch156.0ms (4.8%)

simplify40.0ms (1.2%)

soundness8.0ms (0.3%)

end67.0ms (2.1%)

Profiling