Details

analyze112.0ms (3.2%)

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)

sample1.4s (40.7%)

Results

1.4s

8256×

body

256

valid

preprocess22.0ms (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)

simplify10.0ms (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

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

0.0b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
▶	0.4b	(/.f64 (*.f64 x 100) (+.f64 x y))

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize9.0ms (0.3%)

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)

series12.0ms (0.3%)

Counts

2 → 48

Calls

12 calls:

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

rewrite112.0ms (3.3%)

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))))))))

simplify157.0ms (4.6%)

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))))))
(+.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))))))
(+.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))
(*.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)))))
(*.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)))))
(/.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 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 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 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)))

localize8.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.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	x	@	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))

rewrite76.0ms (2.2%)

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))))))))

simplify61.0ms (1.8%)

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))))

eval89.0ms (2.6%)

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

prune80.0ms (2.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	126	5	131
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	126	7	133

Error

Counts

133 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	32.4b	100
▶	31.3b	(/.f64 100 (/.f64 y x))
▶	30.8b	(*.f64 x (/.f64 100 y))
▶	30.8b	(/.f64 x (/.f64 y 100))
▶	30.8b	(*.f64 100 (/.f64 x y))
✓	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
✓	0.4b	(/.f64 (*.f64 x 100) (+.f64 x y))

Compiler

Compiled 49 to 35 computations (28.6% saved)

localize12.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 100 (/.f64 x y))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series9.0ms (0.2%)

Counts

1 → 0

Calls

6 calls:

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

rewrite96.0ms (2.8%)

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))))))))

simplify10.0ms (0.3%)

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

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite53.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

613×	`pow1_binary64`
573×	`add-log-exp_binary64`
573×	`log1p-expm1-u_binary64`
573×	`expm1-log1p-u_binary64`
562×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1560	7

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

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

simplify33.0ms (1%)

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

44 → 21

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))

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.7b	(/.f64 100 (/.f64 y x))

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite66.0ms (1.9%)

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))))))))

simplify13.0ms (0.4%)

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))

localize6.0ms (0.2%)

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)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

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

rewrite57.0ms (1.6%)

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))))))))

simplify12.0ms (0.3%)

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))

eval21.0ms (0.6%)

Compiler: Compiled 873 to 550 computations (37% saved)

prune57.0ms (1.7%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	103	2	105
Fresh	0	1	1
Picked	0	1	1
Done	2	3	5
Total	105	7	112

Error

Counts

112 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(/.f64 (*.f64 x 100) (+.f64 x y))
▶	30.8b	(/.f64 x (*.f64 y 1/100))
	32.4b	100
✓	31.3b	(/.f64 100 (/.f64 y x))
✓	30.8b	(/.f64 x (/.f64 y 100))
✓	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
▶	30.8b	(/.f64 (*.f64 x 100) y)

Compiler

Compiled 49 to 35 computations (28.6% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series3.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

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

rewrite66.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

680×	`pow1_binary64`
638×	`add-log-exp_binary64`
638×	`log1p-expm1-u_binary64`
638×	`expm1-log1p-u_binary64`
625×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	128	11
2	1677	11

Stop Event

1×	node limit

Counts

2 → 49

Calls

Call 1

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

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 (*.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 (sqrt.f64 (*.f64 x (/.f64 100 y))) (sqrt.f64 (*.f64 x (/.f64 100 y))))))) (#(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 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 (sqrt.f64 x) y) (/.f64 (sqrt.f64 x) 1/100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 x) 1/100) (/.f64 (sqrt.f64 x) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) 1/100) (/.f64 (cbrt.f64 x) y))))) (#(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 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 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 (sqrt.f64 (*.f64 x (/.f64 100 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 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))))))))

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

simplify17.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

4×	`*-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	8	216
1	12	216
2	16	216
3	20	216
4	21	216

Stop Event

1×

saturated

Counts

85 → 51

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

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 13 to 8 computations (38.5% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

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

rewrite75.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`pow1_binary64`
628×	`add-log-exp_binary64`
628×	`log1p-expm1-u_binary64`
628×	`expm1-log1p-u_binary64`
616×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	128	7
2	1658	7

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(/.f64 (*.f64 x 100) 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 x (/.f64 1 (*.f64 y 1/100)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (*.f64 100 (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (/.f64 x y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 100 (*.f64 x (pow.f64 y -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 100) (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 x 100)) 2) (*.f64 (cbrt.f64 (*.f64 x 100)) (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 (*.f64 10 (sqrt.f64 x)) (*.f64 (*.f64 10 (sqrt.f64 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 x 100))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 x 1) (/.f64 100 y))))) (#(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 (*.f64 x 100)) 2) 1) (/.f64 (cbrt.f64 (*.f64 x 100)) y))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 10 (sqrt.f64 x)) 1) (/.f64 (*.f64 10 (sqrt.f64 x)) 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 100 (pow.f64 (cbrt.f64 y) 2)) (/.f64 x (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 x 100) (cbrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 100)) 2) (pow.f64 (cbrt.f64 y) 2)) (cbrt.f64 (*.f64 100 (/.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 10 (sqrt.f64 x)) (pow.f64 (cbrt.f64 y) 2)) (/.f64 (*.f64 10 (sqrt.f64 x)) (cbrt.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 100 (sqrt.f64 y)) (/.f64 x (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (sqrt.f64 y)) (/.f64 (*.f64 x 100) (sqrt.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 x 100)) 2) (sqrt.f64 y)) (/.f64 (cbrt.f64 (*.f64 x 100)) (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 x 100) (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 x 100) 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))))))))

simplify15.0ms (0.4%)

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))

eval24.0ms (0.7%)

Compiler: Compiled 859 to 558 computations (35% saved)

prune16.0ms (0.5%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Pruned	Kept	Total
New	92	0	92
Fresh	0	1	1
Picked	0	1	1
Done	0	5	5
Total	92	7	99

Error

Counts

99 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(/.f64 (*.f64 x 100) (+.f64 x y))
✓	30.8b	(/.f64 x (*.f64 y 1/100))
	32.4b	100
✓	31.3b	(/.f64 100 (/.f64 y x))
✓	30.8b	(/.f64 x (/.f64 y 100))
✓	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
✓	30.8b	(/.f64 (*.f64 x 100) y)

Compiler

Compiled 49 to 35 computations (28.6% saved)

eval0.0ms (0%)

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

prune4.0ms (0.1%)

Pruning

7 alts after pruning (1 fresh and 6 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	6	6
Total	7	7

Error

Counts

7 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.4b	(/.f64 (*.f64 x 100) (+.f64 x y))
✓	30.8b	(/.f64 x (*.f64 y 1/100))
	32.4b	100
✓	31.3b	(/.f64 100 (/.f64 y x))
✓	30.8b	(/.f64 x (/.f64 y 100))
✓	0.2b	(*.f64 x (/.f64 100 (+.f64 x y)))
✓	30.8b	(/.f64 (*.f64 x 100) y)

Compiler

Compiled 49 to 35 computations (28.6% saved)

regimes63.0ms (1.8%)

Counts

9 → 1

Calls

Call 1

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

32.0ms	x
13.0ms	y
11.0ms	(/.f64 (*.f64 x 100) (+.f64 x y))
5.0ms	(/.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 71 to 44 computations (38% saved)

regimes149.0ms (4.3%)

Counts

7 → 3

Calls

Call 1

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

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

Calls

2 calls:

114.0ms	x
30.0ms	y

Results

Error	Segments	Branch
14.1b	7	`x`
12.0b	3	`y`

Compiler

Compiled 39 to 25 computations (35.9% saved)

bsearch74.0ms (2.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
45.0ms	6.594983488427287e+52	1.0126922919774534e+55
28.0ms	-3.459274420507047e-74	-9.765756677711458e-75

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes70.0ms (2%)

Counts

4 → 3

Calls

Call 1

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

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

Calls

2 calls:

44.0ms	x
24.0ms	y

Results

Error	Segments	Branch
14.1b	7	`x`
12.1b	3	`y`

Compiler

Compiled 24 to 16 computations (33.3% saved)

bsearch39.0ms (1.1%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
21.0ms	6.594983488427287e+52	1.0126922919774534e+55
18.0ms	-3.459274420507047e-74	-9.765756677711458e-75

Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes41.0ms (1.2%)

Accuracy

Total -50.0b remaining (-414.2%)

Threshold costs -50.0b (-414.2%)

Counts

2 → 3

Calls

Call 1

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

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

Calls

2 calls:

30.0ms	x
10.0ms	y

Results

Error	Segments	Branch
14.1b	7	`x`
12.1b	3	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch57.0ms (1.7%)

Algorithm

2×	binary-search

Steps

Time	Left	Right
28.0ms	6.594983488427287e+52	1.0126922919774534e+55
29.0ms	-3.459274420507047e-74	-9.765756677711458e-75

Compiler

Compiled 14 to 10 computations (28.6% saved)

simplify11.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	92
1	28	92

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(*.f64 x (/.f64 100 (+.f64 x y)))
(if (<=.f64 y -2202083264558277/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (.f64 x (/.f64 100 y)) (if (<=.f64 y 65949834884272869641663197988532590000760604063694848) 100 (/.f64 x (.f64 y 1/100))))
(if (<=.f64 y -2202083264558277/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (/.f64 (.f64 x 100) y) (if (<=.f64 y 65949834884272869641663197988532590000760604063694848) 100 (/.f64 x (.f64 y 1/100))))
(if (<=.f64 y -2202083264558277/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (/.f64 x (.f64 y 1/100)) (if (<=.f64 y 65949834884272869641663197988532590000760604063694848) 100 (/.f64 x (.f64 y 1/100))))
100

Outputs
(*.f64 x (/.f64 100 (+.f64 x y)))
(if (<=.f64 y -2202083264558277/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (.f64 x (/.f64 100 y)) (if (<=.f64 y 65949834884272869641663197988532590000760604063694848) 100 (/.f64 x (.f64 y 1/100))))
(if (<=.f64 y -2202083264558277/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (/.f64 (.f64 x 100) y) (if (<=.f64 y 65949834884272869641663197988532590000760604063694848) 100 (/.f64 x (.f64 y 1/100))))
(if (<=.f64 y -2202083264558277/63657374260452690195888927762793067532858387302060507832379389042324415617604272068231168) (/.f64 x (.f64 y 1/100)) (if (<=.f64 y 65949834884272869641663197988532590000760604063694848) 100 (/.f64 x (.f64 y 1/100))))
100

Compiler

Compiled 75 to 54 computations (28% saved)

soundness15.0ms (0.4%)

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)

end77.0ms (2.2%)

Compiler: Compiled 67 to 46 computations (31.3% saved)

Details

analyze112.0ms (3.2%)

sample1.4s (40.7%)

preprocess22.0ms (0.6%)

simplify10.0ms (0.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize9.0ms (0.3%)

series12.0ms (0.3%)

rewrite112.0ms (3.3%)

simplify157.0ms (4.6%)

localize8.0ms (0.2%)

series2.0ms (0.1%)

rewrite76.0ms (2.2%)

simplify61.0ms (1.8%)

eval89.0ms (2.6%)

prune80.0ms (2.3%)

localize12.0ms (0.3%)

series9.0ms (0.2%)

rewrite96.0ms (2.8%)

simplify10.0ms (0.3%)

localize6.0ms (0.2%)

series2.0ms (0%)

rewrite53.0ms (1.6%)

simplify33.0ms (1%)

localize5.0ms (0.1%)

series2.0ms (0%)

rewrite66.0ms (1.9%)

simplify13.0ms (0.4%)

localize6.0ms (0.2%)

series2.0ms (0%)

rewrite57.0ms (1.6%)

simplify12.0ms (0.3%)

eval21.0ms (0.6%)

prune57.0ms (1.7%)

localize7.0ms (0.2%)

series3.0ms (0.1%)

rewrite66.0ms (1.9%)

simplify17.0ms (0.5%)

localize7.0ms (0.2%)

series2.0ms (0.1%)

rewrite75.0ms (2.2%)

simplify15.0ms (0.4%)

eval24.0ms (0.7%)

prune16.0ms (0.5%)

eval0.0ms (0%)

prune4.0ms (0.1%)

regimes63.0ms (1.8%)

regimes149.0ms (4.3%)

bsearch74.0ms (2.1%)

regimes70.0ms (2%)

bsearch39.0ms (1.1%)

regimes41.0ms (1.2%)

bsearch57.0ms (1.7%)

simplify11.0ms (0.3%)

soundness15.0ms (0.4%)

end77.0ms (2.2%)

Profiling