Details

analyze104.0ms (7.4%)

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
25%	74.9%	0.1%	5
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12

Compiler

Compiled 8 to 6 computations (25% saved)

sample800.0ms (56.7%)

Results

788.0ms

8256×

body

256

valid

preprocess14.0ms (1%)

Algorithm

2×	egg-herbie

Rules

1×	`swap-x-y`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	14
1	8	14
0	2	2
1	2	2

Stop Event

1×	unsound
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1
0

Call 2

Inputs
(/.f64 (+.f64 x y) 10)
(/.f64 (+.f64 y x) 10)

Outputs
(/.f64 (+.f64 x y) 10)
(/.f64 (+.f64 y x) 10)
(/.f64 (+.f64 x y) 10)

Symmetry

(sort x y)

Compiler

Compiled 9 to 7 computations (22.2% saved)

simplify10.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	7	7

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) 10)

Outputs
(/.f64 (+.f64 x y) 10)

eval0.0ms (0%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

prune1.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.0b	(/.f64 (+.f64 x y) 10)

Compiler

Compiled 7 to 5 computations (28.6% saved)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (+.f64 x y) 10)

Compiler

Compiled 13 to 6 computations (53.8% saved)

series3.0ms (0.2%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(/.f64 (+.f64 x y) 10)
0.0ms	x	@	0	(/.f64 (+.f64 x y) 10)
0.0ms	x	@	-inf	(/.f64 (+.f64 x y) 10)
0.0ms	y	@	inf	(/.f64 (+.f64 x y) 10)
0.0ms	y	@	-inf	(/.f64 (+.f64 x y) 10)

rewrite52.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

743×	`pow1_binary64`
701×	`add-log-exp_binary64`
701×	`log1p-expm1-u_binary64`
701×	`expm1-log1p-u_binary64`
688×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	138	7
2	1875	7

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) 10)

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

Outputs

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

simplify9.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-out_binary64`
1×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	150
1	13	150
2	19	150

Stop Event

1×

saturated

Counts

47 → 27

Calls

Call 1

Inputs
(*.f64 1/10 y)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 x)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 x)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 x)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 y)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 y)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))

Outputs
(*.f64 1/10 y)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 x)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 x)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 x)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 y)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 y)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))

eval5.0ms (0.3%)

Compiler: Compiled 215 to 124 computations (42.3% saved)

prune8.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	24	3	27
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	4	28

Error

Counts

28 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.7b	(*.f64 1/10 x)
✓	0.0b	(/.f64 (+.f64 x y) 10)
▶	0.3b	(*.f64 (+.f64 x y) 1/10)
▶	37.4b	(*.f64 1/10 y)

Compiler

Compiled 24 to 18 computations (25% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 1/10 x)

Compiler

Compiled 7 to 5 computations (28.6% saved)

series2.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(*.f64 1/10 x)
0.0ms	x	@	inf	(*.f64 1/10 x)
0.0ms	x	@	-inf	(*.f64 1/10 x)

rewrite39.0ms (2.8%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`pow1_binary64`
338×	`add-sqr-sqrt_binary64`
329×	`*-un-lft-identity_binary64`
321×	`add-log-exp_binary64`
321×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	873	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 1/10 x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (.f64 1/10 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 1/10 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) 1/20)) (log.f64 (pow.f64 (exp.f64 x) 1/20)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/5) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (.f64 1/10 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (.f64 1/10 x)) 3) 1) (+.f64 (.f64 (+.f64 1 (.f64 1/10 x)) (+.f64 1 (.f64 1/10 x))) (+.f64 1 (.f64 (+.f64 1 (.f64 1/10 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 (+.f64 1 (.f64 1/10 x)) (+.f64 1 (.f64 1/10 x))) 1) (+.f64 (+.f64 1 (.f64 1/10 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 1/10 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (.f64 1/10 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (pow.f64 x 3) 1/1000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (.f64 1/10 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (.f64 1/10 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (.f64 1/10 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (.f64 1/10 x)))) (sqrt.f64 (log.f64 (.f64 1/10 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (.f64 1/10 x))) 2)) (cbrt.f64 (log.f64 (.f64 1/10 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (.f64 1/10 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (.f64 1/10 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (.f64 (pow.f64 x 3) 1/1000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (.f64 1/10 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (.f64 1/10 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (.f64 1/10 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (.f64 3 (log.f64 (.f64 1/10 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (cbrt.f64 (.f64 1/10 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (.f64 (log.f64 (sqrt.f64 (.f64 1/10 x))) 2))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 1/10 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/10 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 x) 1/20)) (log.f64 (pow.f64 (exp.f64 x) 1/20)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/5) x))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 x) 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/10 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 1/10 x)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 1/10 x)) (+.f64 1 (*.f64 1/10 x))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 1/10 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 1/10 x)) (+.f64 1 (*.f64 1/10 x))) 1) (+.f64 (+.f64 1 (*.f64 1/10 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/10 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/10 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 x 3) 1/1000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/10 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/10 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 1/10 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/10 x)))) (sqrt.f64 (log.f64 (*.f64 1/10 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/10 x))) 2)) (cbrt.f64 (log.f64 (*.f64 1/10 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/10 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1/10 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 3) 1/1000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/10 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/10 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/10 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/10 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/10 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/10 x))) 2))))))

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

25 → 25

Calls

Call 1

Inputs

Outputs

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 1/10 y)

Compiler

Compiled 7 to 5 computations (28.6% saved)

series1.0ms (0.1%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	y	@	0	(*.f64 1/10 y)
0.0ms	y	@	inf	(*.f64 1/10 y)
0.0ms	y	@	-inf	(*.f64 1/10 y)

rewrite43.0ms (3.1%)

Algorithm

1×	batch-egg-rewrite

Rules

345×	`pow1_binary64`
338×	`add-sqr-sqrt_binary64`
329×	`*-un-lft-identity_binary64`
321×	`add-log-exp_binary64`
321×	`log1p-expm1-u_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	4
1	80	4
2	873	4

Stop Event

1×	node limit

Counts

1 → 25

Calls

Call 1

Inputs
(*.f64 1/10 y)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 1 (*.f64 1/10 y)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 1/10 y))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (exp.f64 y) 1/20)) (log.f64 (pow.f64 (exp.f64 y) 1/20)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 1/5) y))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 y) 1/10))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 1/10 y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 1 (*.f64 1/10 y)) 3) 1) (+.f64 (*.f64 (+.f64 1 (*.f64 1/10 y)) (+.f64 1 (*.f64 1/10 y))) (+.f64 1 (*.f64 (+.f64 1 (*.f64 1/10 y)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (+.f64 1 (*.f64 1/10 y)) (+.f64 1 (*.f64 1/10 y))) 1) (+.f64 (+.f64 1 (*.f64 1/10 y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 1/10 y) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 1/10 y) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 y 3) 1/1000) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 1/10 y)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 1/10 y)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (log.f64 (*.f64 1/10 y)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 1/10 y)))) (sqrt.f64 (log.f64 (*.f64 1/10 y))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 1/10 y))) 2)) (cbrt.f64 (log.f64 (*.f64 1/10 y))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 1/10 y) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 1/10 y))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 y) 1/10))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 y 3) 1/1000))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 1/10 y)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 1/10 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 1/10 y)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 1/10 y))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 1/10 y))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 1/10 y))) 2))))))

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

25 → 25

Calls

Call 1

Inputs

Outputs

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (+.f64 x y) 1/10)

Compiler

Compiled 13 to 6 computations (53.8% saved)

series2.0ms (0.1%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f64 (+.f64 x y) 1/10)
0.0ms	x	@	-inf	(*.f64 (+.f64 x y) 1/10)
0.0ms	x	@	inf	(*.f64 (+.f64 x y) 1/10)
0.0ms	y	@	-inf	(*.f64 (+.f64 x y) 1/10)
0.0ms	y	@	inf	(*.f64 (+.f64 x y) 1/10)

rewrite52.0ms (3.7%)

Algorithm

1×	batch-egg-rewrite

Rules

693×	`pow1_binary64`
648×	`add-log-exp_binary64`
648×	`log1p-expm1-u_binary64`
648×	`expm1-log1p-u_binary64`
635×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	130	7
2	1727	7

Stop Event

1×	node limit

Counts

1 → 19

Calls

Call 1

Inputs
(*.f64 (+.f64 x y) 1/10)

Outputs

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

simplify9.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

4×	`fma-def_binary64`
3×	`*-commutative_binary64`
2×	`+-commutative_binary64`
1×	`distribute-lft-out_binary64`
1×	`distribute-rgt-out_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	150
1	13	150
2	19	150

Stop Event

1×

saturated

Counts

43 → 22

Calls

Call 1

Inputs
(*.f64 1/10 y)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 x)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 x)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 x)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 y)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 y)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))

Outputs
(*.f64 1/10 y)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 x)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 x)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 x)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 y)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(*.f64 1/10 y)
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))
(+.f64 (.f64 1/10 y) (.f64 1/10 x))
(*.f64 1/10 (+.f64 y x))

eval16.0ms (1.1%)

Compiler: Compiled 626 to 474 computations (24.3% saved)

prune15.0ms (1.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	72	0	72
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	72	4	76

Error

Counts

76 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.7b	(*.f64 1/10 x)
✓	0.0b	(/.f64 (+.f64 x y) 10)
✓	0.3b	(*.f64 (+.f64 x y) 1/10)
✓	37.4b	(*.f64 1/10 y)

Compiler

Compiled 24 to 18 computations (25% saved)

regimes21.0ms (1.5%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 1/10 x)
(*.f64 1/10 y)
(*.f64 (+.f64 x y) 1/10)
(/.f64 (+.f64 x y) 10)

Outputs
(/.f64 (+.f64 x y) 10)

Calls

4 calls:

7.0ms	y
4.0ms	(/.f64 (+.f64 x y) 10)
4.0ms	(+.f64 x y)
4.0ms	x

Results

Error	Segments	Branch
0.0b	1	`x`
0.0b	1	`y`
0.0b	1	`(/.f64 (+.f64 x y) 10)`
0.0b	1	`(+.f64 x y)`

Compiler

Compiled 36 to 23 computations (36.1% saved)

regimes12.0ms (0.8%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 1/10 x)
(*.f64 1/10 y)
(*.f64 (+.f64 x y) 1/10)

Outputs
(*.f64 (+.f64 x y) 1/10)

Calls

3 calls:

4.0ms	x
4.0ms	(+.f64 x y)
3.0ms	y

Results

Error	Segments	Branch
0.3b	1	`x`
0.3b	1	`y`
0.3b	1	`(+.f64 x y)`

Compiler

Compiled 24 to 16 computations (33.3% saved)

regimes25.0ms (1.8%)

Accuracy

Total -56.1b remaining (-983.9%)

Threshold costs -56.1b (-983.9%)

Counts

2 → 6

Calls

Call 1

Inputs
(*.f64 1/10 x)
(*.f64 1/10 y)

Outputs
(*.f64 1/10 x)
(*.f64 1/10 y)
(*.f64 1/10 x)
(*.f64 1/10 y)
(*.f64 1/10 x)
(*.f64 1/10 y)

Calls

2 calls:

17.0ms	x
8.0ms	y

Results

Error	Segments	Branch
5.7b	6	`x`
10.2b	2	`y`

Compiler

Compiled 14 to 10 computations (28.6% saved)

bsearch93.0ms (6.6%)

Algorithm

5×	binary-search

Steps

Time	Left	Right
14.0ms	-2.5092998938154523e-217	-8.936717118064812e-223
14.0ms	-7.585916431554203e-142	-1.6549753673380387e-143
33.0ms	-4.6099602838293456e-111	-2.9293828308577065e-111
14.0ms	-9.96950103004342e+27	-6.346154712339267e+27
17.0ms	-1.0362734656139835e+60	-2.2234456645626131e+55

Compiler

Compiled 12 to 9 computations (25% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	72
1	30	72

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(/.f64 (+.f64 x y) 10)
(*.f64 (+.f64 x y) 1/10)
(if (<=.f64 x -1036273465613983530508803627737275930338882246285145722060800) (.f64 1/10 x) (if (<=.f64 x -9969501030043420930229665792) (.f64 1/10 y) (if (<=.f64 x -6241160727575301/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (.f64 1/10 x) (if (<=.f64 x -1301894534231991/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (.f64 1/10 y) (if (<=.f64 x -1558293393662695/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (.f64 1/10 x) (.f64 1/10 y))))))
(*.f64 1/10 x)

Outputs
(/.f64 (+.f64 x y) 10)
(*.f64 (+.f64 x y) 1/10)
(if (<=.f64 x -1036273465613983530508803627737275930338882246285145722060800) (.f64 1/10 x) (if (<=.f64 x -9969501030043420930229665792) (.f64 1/10 y) (if (<=.f64 x -6241160727575301/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (.f64 1/10 x) (if (<=.f64 x -1301894534231991/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (.f64 1/10 y) (if (<=.f64 x -1558293393662695/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (.f64 1/10 x) (.f64 1/10 y))))))
(if (<=.f64 x -1036273465613983530508803627737275930338882246285145722060800) (.f64 x 1/10) (if (<=.f64 x -9969501030043420930229665792) (.f64 y 1/10) (if (<=.f64 x -6241160727575301/1353842624082429130653522550851115089568572790710847937094960732721983060451965636249987502980536903367866802227247837807116288) (.f64 x 1/10) (if (<=.f64 x -1301894534231991/1716199415032652428745475199770348304317358825035826352348615864796385795849414013030639910165363638744324077847870214509280496999929160953143507072778764288) (.f64 y 1/10) (if (<=.f64 x -1558293393662695/6210072369202835740595917953850010221027544068466786444556208152104203810745507545323513635314585911801950922788524292824686320176459257565777149100164724556817819904083399622201061142526393779301051996774865875003571387415264231424) (.f64 x 1/10) (.f64 y 1/10))))))
(*.f64 1/10 x)
(*.f64 x 1/10)

Compiler

Compiled 59 to 43 computations (27.1% saved)

soundness0.0ms (0%)

end41.0ms (2.9%)

Remove: (sort x y)
Compiler: Compiled 67 to 46 computations (31.3% saved)

Details

analyze104.0ms (7.4%)

sample800.0ms (56.7%)

preprocess14.0ms (1%)

simplify10.0ms (0.7%)

eval0.0ms (0%)

prune1.0ms (0.1%)

localize5.0ms (0.4%)

series3.0ms (0.2%)

rewrite52.0ms (3.7%)

simplify9.0ms (0.6%)

eval5.0ms (0.3%)

prune8.0ms (0.5%)

localize3.0ms (0.2%)

series2.0ms (0.1%)

rewrite39.0ms (2.8%)

simplify6.0ms (0.4%)

localize3.0ms (0.2%)

series1.0ms (0.1%)

rewrite43.0ms (3.1%)

simplify6.0ms (0.4%)

localize5.0ms (0.4%)

series2.0ms (0.1%)

rewrite52.0ms (3.7%)

simplify9.0ms (0.6%)

eval16.0ms (1.1%)

prune15.0ms (1.1%)

regimes21.0ms (1.5%)

regimes12.0ms (0.8%)

regimes25.0ms (1.8%)

bsearch93.0ms (6.6%)

simplify5.0ms (0.3%)

soundness0.0ms (0%)

end41.0ms (2.9%)

Profiling