Details

analyze0.0ms (0%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	0%	100%	0%	0%	0%	0
100%	0%	0%	100%	0%	0%	0%	1

Compiler

Compiled 17 to 12 computations (29.4% saved)

sample987.0ms (66.6%)

Results

975.0ms

8256×

body

256

valid

Bogosity

preprocess11.0ms (0.8%)

Algorithm

2×	egg-herbie

Rules

8×	`rational_best-simplify-2`
2×	`rational_best-simplify-22`
2×	`rational_best-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	15	27
2	17	27
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))

Outputs
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))
(.f64 (cos.f64 x) (exp.f64 (.f64 x (*.f64 10 x))))
(.f64 (cos.f64 x) (exp.f64 (.f64 x (*.f64 x 10))))

Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify12.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

8×	`rational_best-simplify-2`
2×	`rational_best-simplify-22`
2×	`rational_best-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	27
1	15	27
2	17	27

Stop Event

1×

saturated

Counts

1 → 3

Calls

Call 1

Inputs
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))

Outputs
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))
(.f64 (cos.f64 x) (exp.f64 (.f64 x (*.f64 10 x))))
(.f64 (cos.f64 x) (exp.f64 (.f64 x (*.f64 x 10))))

eval1.0ms (0%)

Compiler: Compiled 28 to 17 computations (39.3% saved)

prune1.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

3.4b

Counts

4 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	3.6b	(.f64 (cos.f64 x) (exp.f64 (.f64 x (*.f64 x 10))))
▶	3.6b	(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))

Compiler

Compiled 20 to 14 computations (30% saved)

localize11.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 10 (.f64 x x))
✓	0.3b	(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))
✓	3.3b	(exp.f64 (.f64 10 (.f64 x x)))

Compiler

Compiled 28 to 13 computations (53.6% saved)

series2.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(.f64 10 (.f64 x x))
0.0ms	x	@	inf	(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))
0.0ms	x	@	0	(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))
0.0ms	x	@	-inf	(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))
0.0ms	x	@	inf	(.f64 10 (.f64 x x))

rewrite103.0ms (7%)

Algorithm

1×	batch-egg-rewrite

Rules

1722×	`rational_best-1`
906×	`rational_best-simplify-47`
896×	`rational_best-simplify-51`
844×	`rational_best-2`
844×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	67	57
2	114	57
3	175	57
4	300	57
5	583	57
6	1365	57
7	4598	57
8	7670	57

Stop Event

1×	node limit

Counts

3 → 17

Calls

Call 1

Inputs
(exp.f64 (.f64 10 (.f64 x x)))
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))
(.f64 10 (.f64 x x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (.f64 10 (.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (.f64 10 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (.f64 10 (.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (.f64 10 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (.f64 10 (.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (.f64 10 (.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (.f64 10 (.f64 x x))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 (.f64 10 (.f64 x x))) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (exp.f64 (.f64 10 (.f64 x x))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (exp.f64 (.f64 10 (.f64 x x))) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (.f64 10 (.f64 x x))) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (exp.f64 (.f64 10 (*.f64 x x))) (cos.f64 x)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 10 (.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 10 (.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 10 (.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 10 (.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 10 (.f64 x x)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 10 (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (*.f64 10 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (*.f64 10 (*.f64 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 10 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (*.f64 10 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (*.f64 10 (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 10 (*.f64 x x))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (*.f64 10 (*.f64 x x))) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (exp.f64 (*.f64 10 (*.f64 x x))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (exp.f64 (*.f64 10 (*.f64 x x))) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 10 (*.f64 x x))) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 (*.f64 10 (*.f64 x x))) (cos.f64 x)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 10 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 10 (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 10 (*.f64 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 10 (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 10 (*.f64 x x)) 1)))))

simplify35.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

114×	`rational_best-simplify-1`
82×	`rational_best-simplify-43`
54×	`rational_best-simplify-2`
28×	`rational_best-simplify-17`
24×	`rational_best-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	1051
1	97	1051
2	143	1051
3	193	1051
4	231	1051
5	239	1051
6	245	1051
7	249	1051
8	250	1051

Stop Event

1×

saturated

Counts

53 → 39

Calls

Call 1

Inputs
1
(+.f64 (*.f64 10 (pow.f64 x 2)) 1)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 1 (.f64 50 (pow.f64 x 4))))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 500/3 (pow.f64 x 6)) (+.f64 1 (*.f64 50 (pow.f64 x 4)))))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
1
(+.f64 1 (*.f64 19/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1081/24 (pow.f64 x 4)) (.f64 19/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 1081/24 (pow.f64 x 4)) (+.f64 (.f64 19/2 (pow.f64 x 2)) (*.f64 102299/720 (pow.f64 x 6)))))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(+.f64 (exp.f64 (.f64 10 (.f64 x x))) 0)
(+.f64 0 (exp.f64 (.f64 10 (.f64 x x))))
(-.f64 (exp.f64 (.f64 10 (.f64 x x))) 0)
(.f64 (exp.f64 (.f64 10 (*.f64 x x))) 1)
(.f64 1 (exp.f64 (.f64 10 (*.f64 x x))))
(/.f64 (exp.f64 (.f64 10 (.f64 x x))) 1)
(pow.f64 (exp.f64 (.f64 10 (.f64 x x))) 1)
(+.f64 (.f64 (exp.f64 (.f64 10 (*.f64 x x))) (cos.f64 x)) 0)
(+.f64 0 (.f64 (exp.f64 (.f64 10 (*.f64 x x))) (cos.f64 x)))
(-.f64 (.f64 (exp.f64 (.f64 10 (*.f64 x x))) (cos.f64 x)) 0)
(/.f64 (.f64 (exp.f64 (.f64 10 (*.f64 x x))) (cos.f64 x)) 1)
(pow.f64 (.f64 (exp.f64 (.f64 10 (*.f64 x x))) (cos.f64 x)) 1)
(+.f64 (.f64 10 (.f64 x x)) 0)
(+.f64 0 (.f64 10 (.f64 x x)))
(-.f64 (.f64 10 (.f64 x x)) 0)
(/.f64 (.f64 10 (.f64 x x)) 1)
(pow.f64 (.f64 10 (.f64 x x)) 1)

Outputs
1
(+.f64 (*.f64 10 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 10 (pow.f64 x 2)))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 1 (.f64 50 (pow.f64 x 4))))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 500/3 (pow.f64 x 6)) (+.f64 1 (*.f64 50 (pow.f64 x 4)))))
(+.f64 (+.f64 1 (.f64 50 (pow.f64 x 4))) (+.f64 (.f64 500/3 (pow.f64 x 6)) (*.f64 10 (pow.f64 x 2))))
(+.f64 (+.f64 1 (.f64 50 (pow.f64 x 4))) (+.f64 (.f64 10 (pow.f64 x 2)) (*.f64 500/3 (pow.f64 x 6))))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
1
(+.f64 1 (*.f64 19/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) 19/2))
(+.f64 1 (+.f64 (.f64 1081/24 (pow.f64 x 4)) (.f64 19/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) 19/2) (.f64 (pow.f64 x 4) 1081/24)))
(+.f64 1 (+.f64 (.f64 1081/24 (pow.f64 x 4)) (+.f64 (.f64 19/2 (pow.f64 x 2)) (*.f64 102299/720 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1081/24) (+.f64 (.f64 (pow.f64 x 2) 19/2) (*.f64 (pow.f64 x 6) 102299/720))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) 19/2) (+.f64 (.f64 (pow.f64 x 6) 102299/720) (*.f64 (pow.f64 x 4) 1081/24))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) 19/2) (+.f64 (.f64 (pow.f64 x 4) 1081/24) (*.f64 (pow.f64 x 6) 102299/720))))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (pow.f64 x 2))))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (pow.f64 x 2))))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (pow.f64 x 2))))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (pow.f64 x 2))))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (pow.f64 x 2))))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (pow.f64 x 2))))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (pow.f64 x 2))))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (pow.f64 x 2))))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(+.f64 (exp.f64 (.f64 10 (.f64 x x))) 0)
(exp.f64 (.f64 10 (.f64 x x)))
(+.f64 0 (exp.f64 (.f64 10 (.f64 x x))))
(exp.f64 (.f64 10 (.f64 x x)))
(-.f64 (exp.f64 (.f64 10 (.f64 x x))) 0)
(exp.f64 (.f64 10 (.f64 x x)))
(.f64 (exp.f64 (.f64 10 (*.f64 x x))) 1)
(exp.f64 (.f64 10 (.f64 x x)))
(.f64 1 (exp.f64 (.f64 10 (*.f64 x x))))
(exp.f64 (.f64 10 (.f64 x x)))
(/.f64 (exp.f64 (.f64 10 (.f64 x x))) 1)
(exp.f64 (.f64 10 (.f64 x x)))
(pow.f64 (exp.f64 (.f64 10 (.f64 x x))) 1)
(exp.f64 (.f64 10 (.f64 x x)))
(+.f64 (.f64 (exp.f64 (.f64 10 (*.f64 x x))) (cos.f64 x)) 0)
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))
(+.f64 0 (.f64 (exp.f64 (.f64 10 (*.f64 x x))) (cos.f64 x)))
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))
(-.f64 (.f64 (exp.f64 (.f64 10 (*.f64 x x))) (cos.f64 x)) 0)
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))
(/.f64 (.f64 (exp.f64 (.f64 10 (*.f64 x x))) (cos.f64 x)) 1)
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))
(pow.f64 (.f64 (exp.f64 (.f64 10 (*.f64 x x))) (cos.f64 x)) 1)
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))
(+.f64 (.f64 10 (.f64 x x)) 0)
(.f64 10 (.f64 x x))
(+.f64 0 (.f64 10 (.f64 x x)))
(.f64 10 (.f64 x x))
(-.f64 (.f64 10 (.f64 x x)) 0)
(.f64 10 (.f64 x x))
(/.f64 (.f64 10 (.f64 x x)) 1)
(.f64 10 (.f64 x x))
(pow.f64 (.f64 10 (.f64 x x)) 1)
(.f64 10 (.f64 x x))

localize142.0ms (9.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f64 x (.f64 x 10))
✓	0.3b	(.f64 (cos.f64 x) (exp.f64 (.f64 x (*.f64 x 10))))
✓	3.3b	(exp.f64 (.f64 x (.f64 x 10)))

Compiler

Compiled 28 to 17 computations (39.3% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(exp.f64 (.f64 x (.f64 x 10)))
0.0ms	x	@	inf	(exp.f64 (.f64 x (.f64 x 10)))
0.0ms	x	@	0	(.f64 (cos.f64 x) (exp.f64 (.f64 x (*.f64 x 10))))
0.0ms	x	@	inf	(.f64 (cos.f64 x) (exp.f64 (.f64 x (*.f64 x 10))))
0.0ms	x	@	-inf	(.f64 (cos.f64 x) (exp.f64 (.f64 x (*.f64 x 10))))

rewrite79.0ms (5.4%)

Algorithm

1×	batch-egg-rewrite

Rules

1710×	`rational_best-1`
904×	`rational_best-simplify-47`
902×	`rational_best-simplify-51`
834×	`rational_best-2`
832×	`rational_best-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	57
1	65	57
2	103	57
3	163	57
4	288	57
5	567	57
6	1328	57
7	4549	57
8	7644	57

Stop Event

1×	node limit

Counts

3 → 17

Calls

Call 1

Inputs
(exp.f64 (.f64 x (.f64 x 10)))
(.f64 (cos.f64 x) (exp.f64 (.f64 x (*.f64 x 10))))
(.f64 x (.f64 x 10))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (.f64 x (.f64 x 10))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (.f64 x (.f64 x 10))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (.f64 x (.f64 x 10))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (exp.f64 (.f64 x (.f64 x 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (exp.f64 (.f64 x (.f64 x 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (.f64 x (.f64 x 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (.f64 x (.f64 x 10))) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (exp.f64 (.f64 x (.f64 x 10))) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (exp.f64 (.f64 x (.f64 x 10))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (exp.f64 (.f64 x (.f64 x 10))) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (exp.f64 (.f64 x (.f64 x 10))) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 (exp.f64 (.f64 x (*.f64 x 10))) (cos.f64 x)) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 x (.f64 x 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 x (.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 x (.f64 x 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 x (.f64 x 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (.f64 x (.f64 x 10)) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (*.f64 x (*.f64 x 10))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (exp.f64 (*.f64 x (*.f64 x 10))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (*.f64 x (*.f64 x 10))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 x (*.f64 x 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (*.f64 x (*.f64 x 10))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (exp.f64 (*.f64 x (*.f64 x 10))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (*.f64 x (*.f64 x 10))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x 10))) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (exp.f64 (*.f64 x (*.f64 x 10))) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x 10))) (cos.f64 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x 10))) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (exp.f64 (*.f64 x (*.f64 x 10))) (cos.f64 x)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 x (*.f64 x 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 x (*.f64 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (*.f64 x 10)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 x 10)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x 10)) 1)))))

simplify35.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

114×	`rational_best-simplify-1`
84×	`rational_best-simplify-43`
54×	`rational_best-simplify-2`
28×	`rational_best-simplify-17`
24×	`rational_best-simplify-44`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	59	1051
1	96	1051
2	141	1051
3	191	1051
4	230	1051
5	239	1051
6	246	1051
7	250	1051
8	251	1051

Stop Event

1×

saturated

Counts

53 → 39

Calls

Call 1

Inputs
1
(+.f64 (*.f64 10 (pow.f64 x 2)) 1)
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 1 (.f64 50 (pow.f64 x 4))))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 500/3 (pow.f64 x 6)) (+.f64 1 (*.f64 50 (pow.f64 x 4)))))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
1
(+.f64 1 (*.f64 19/2 (pow.f64 x 2)))
(+.f64 1 (+.f64 (.f64 1081/24 (pow.f64 x 4)) (.f64 19/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 1081/24 (pow.f64 x 4)) (+.f64 (.f64 19/2 (pow.f64 x 2)) (*.f64 102299/720 (pow.f64 x 6)))))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(+.f64 (exp.f64 (.f64 x (.f64 x 10))) 0)
(+.f64 0 (exp.f64 (.f64 x (.f64 x 10))))
(-.f64 (exp.f64 (.f64 x (.f64 x 10))) 0)
(.f64 (exp.f64 (.f64 x (*.f64 x 10))) 1)
(.f64 1 (exp.f64 (.f64 x (*.f64 x 10))))
(/.f64 (exp.f64 (.f64 x (.f64 x 10))) 1)
(pow.f64 (exp.f64 (.f64 x (.f64 x 10))) 1)
(+.f64 (.f64 (exp.f64 (.f64 x (*.f64 x 10))) (cos.f64 x)) 0)
(+.f64 0 (.f64 (exp.f64 (.f64 x (*.f64 x 10))) (cos.f64 x)))
(-.f64 (.f64 (exp.f64 (.f64 x (*.f64 x 10))) (cos.f64 x)) 0)
(/.f64 (.f64 (exp.f64 (.f64 x (*.f64 x 10))) (cos.f64 x)) 1)
(pow.f64 (.f64 (exp.f64 (.f64 x (*.f64 x 10))) (cos.f64 x)) 1)
(+.f64 (.f64 x (.f64 x 10)) 0)
(+.f64 0 (.f64 x (.f64 x 10)))
(-.f64 (.f64 x (.f64 x 10)) 0)
(/.f64 (.f64 x (.f64 x 10)) 1)
(pow.f64 (.f64 x (.f64 x 10)) 1)

Outputs
1
(+.f64 (*.f64 10 (pow.f64 x 2)) 1)
(+.f64 1 (*.f64 10 (pow.f64 x 2)))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 1 (.f64 50 (pow.f64 x 4))))
(+.f64 (.f64 10 (pow.f64 x 2)) (+.f64 (.f64 500/3 (pow.f64 x 6)) (+.f64 1 (*.f64 50 (pow.f64 x 4)))))
(+.f64 (+.f64 1 (.f64 50 (pow.f64 x 4))) (+.f64 (.f64 500/3 (pow.f64 x 6)) (*.f64 10 (pow.f64 x 2))))
(+.f64 (+.f64 1 (.f64 50 (pow.f64 x 4))) (+.f64 (.f64 10 (pow.f64 x 2)) (*.f64 500/3 (pow.f64 x 6))))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
(exp.f64 (*.f64 10 (pow.f64 x 2)))
1
(+.f64 1 (*.f64 19/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 (pow.f64 x 2) 19/2))
(+.f64 1 (+.f64 (.f64 1081/24 (pow.f64 x 4)) (.f64 19/2 (pow.f64 x 2))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) 19/2) (.f64 (pow.f64 x 4) 1081/24)))
(+.f64 1 (+.f64 (.f64 1081/24 (pow.f64 x 4)) (+.f64 (.f64 19/2 (pow.f64 x 2)) (*.f64 102299/720 (pow.f64 x 6)))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 4) 1081/24) (+.f64 (.f64 (pow.f64 x 2) 19/2) (*.f64 (pow.f64 x 6) 102299/720))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) 19/2) (+.f64 (.f64 (pow.f64 x 6) 102299/720) (*.f64 (pow.f64 x 4) 1081/24))))
(+.f64 1 (+.f64 (.f64 (pow.f64 x 2) 19/2) (+.f64 (.f64 (pow.f64 x 4) 1081/24) (*.f64 (pow.f64 x 6) 102299/720))))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (pow.f64 x 2))))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (pow.f64 x 2))))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (pow.f64 x 2))))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (pow.f64 x 2))))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (pow.f64 x 2))))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (pow.f64 x 2))))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (pow.f64 x 2))))
(.f64 (exp.f64 (.f64 10 (pow.f64 x 2))) (cos.f64 x))
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (pow.f64 x 2))))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(*.f64 10 (pow.f64 x 2))
(+.f64 (exp.f64 (.f64 x (.f64 x 10))) 0)
(exp.f64 (.f64 x (.f64 10 x)))
(+.f64 0 (exp.f64 (.f64 x (.f64 x 10))))
(exp.f64 (.f64 x (.f64 10 x)))
(-.f64 (exp.f64 (.f64 x (.f64 x 10))) 0)
(exp.f64 (.f64 x (.f64 10 x)))
(.f64 (exp.f64 (.f64 x (*.f64 x 10))) 1)
(exp.f64 (.f64 x (.f64 10 x)))
(.f64 1 (exp.f64 (.f64 x (*.f64 x 10))))
(exp.f64 (.f64 x (.f64 10 x)))
(/.f64 (exp.f64 (.f64 x (.f64 x 10))) 1)
(exp.f64 (.f64 x (.f64 10 x)))
(pow.f64 (exp.f64 (.f64 x (.f64 x 10))) 1)
(exp.f64 (.f64 x (.f64 10 x)))
(+.f64 (.f64 (exp.f64 (.f64 x (*.f64 x 10))) (cos.f64 x)) 0)
(.f64 (cos.f64 x) (exp.f64 (.f64 x (*.f64 10 x))))
(+.f64 0 (.f64 (exp.f64 (.f64 x (*.f64 x 10))) (cos.f64 x)))
(.f64 (cos.f64 x) (exp.f64 (.f64 x (*.f64 10 x))))
(-.f64 (.f64 (exp.f64 (.f64 x (*.f64 x 10))) (cos.f64 x)) 0)
(.f64 (cos.f64 x) (exp.f64 (.f64 x (*.f64 10 x))))
(/.f64 (.f64 (exp.f64 (.f64 x (*.f64 x 10))) (cos.f64 x)) 1)
(.f64 (cos.f64 x) (exp.f64 (.f64 x (*.f64 10 x))))
(pow.f64 (.f64 (exp.f64 (.f64 x (*.f64 x 10))) (cos.f64 x)) 1)
(.f64 (cos.f64 x) (exp.f64 (.f64 x (*.f64 10 x))))
(+.f64 (.f64 x (.f64 x 10)) 0)
(.f64 x (.f64 10 x))
(+.f64 0 (.f64 x (.f64 x 10)))
(.f64 x (.f64 10 x))
(-.f64 (.f64 x (.f64 x 10)) 0)
(.f64 x (.f64 10 x))
(/.f64 (.f64 x (.f64 x 10)) 1)
(.f64 x (.f64 10 x))
(pow.f64 (.f64 x (.f64 x 10)) 1)
(.f64 x (.f64 10 x))

eval18.0ms (1.2%)

Compiler: Compiled 945 to 653 computations (30.9% saved)

prune8.0ms (0.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	77	3	80

Error

3.4b

Counts

80 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	3.6b	(.f64 (cos.f64 x) (exp.f64 (.f64 x (*.f64 x 10))))
✓	3.6b	(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))
▶	57.8b	(*.f64 (cos.f64 x) 1)

Compiler

Compiled 25 to 18 computations (28% saved)

localize4.0ms (0.3%)

Compiler: Compiled 9 to 5 computations (44.4% saved)

eval0.0ms (0%)

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

prune1.0ms (0.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

3.4b

Counts

3 → 3

Alt Table

Click to see full alt table

Status	Error	Program
✓	3.6b	(.f64 (cos.f64 x) (exp.f64 (.f64 x (*.f64 x 10))))
✓	3.6b	(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))
✓	57.8b	(*.f64 (cos.f64 x) 1)

Compiler

Compiled 25 to 18 computations (28% saved)

regimes9.0ms (0.6%)

Accuracy

Total -54.2b remaining (-1501.5%)

Threshold costs -54.2b (-1501.5%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f64 (cos.f64 x) 1)
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))
(.f64 (cos.f64 x) (exp.f64 (.f64 x (*.f64 x 10))))

Outputs
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))

Calls

2 calls:

4.0ms	x
3.0ms	(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))

Results

Error	Segments	Branch
3.6b	1	`x`
3.6b	1	`(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))`

Compiler

Compiled 35 to 22 computations (37.1% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	38

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))
(*.f64 (cos.f64 x) 1)

Outputs
(.f64 (cos.f64 x) (exp.f64 (.f64 10 (*.f64 x x))))
(*.f64 (cos.f64 x) 1)

Compiler

Compiled 15 to 11 computations (26.7% saved)

soundness0.0ms (0%)

end17.0ms (1.2%)

Compiler: Compiled 14 to 9 computations (35.7% saved)

Details

analyze0.0ms (0%)

sample987.0ms (66.6%)

preprocess11.0ms (0.8%)

simplify12.0ms (0.8%)

eval1.0ms (0%)

prune1.0ms (0.1%)

localize11.0ms (0.7%)

series2.0ms (0.1%)

rewrite103.0ms (7%)

simplify35.0ms (2.4%)

localize142.0ms (9.6%)

series1.0ms (0%)

rewrite79.0ms (5.4%)

simplify35.0ms (2.4%)

eval18.0ms (1.2%)

prune8.0ms (0.5%)

localize4.0ms (0.3%)

eval0.0ms (0%)

prune1.0ms (0.1%)

regimes9.0ms (0.6%)

simplify2.0ms (0.1%)

soundness0.0ms (0%)

end17.0ms (1.2%)

Profiling