Details

analyze260.0ms (2.2%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.9%	0.1%	0%	0%	0%	0
0%	0%	99.9%	0.1%	0%	0%	0%	1
0%	0%	99.9%	0.1%	0%	0%	0%	2
0%	0%	99.9%	0.1%	0%	0%	0%	3
0%	0%	99.9%	0.1%	0%	0%	0%	4
25%	25%	74.9%	0.1%	0%	0%	0%	5
31.3%	31.2%	68.7%	0.1%	0%	0%	0%	6
45.9%	43.7%	51.5%	0.1%	4.7%	0%	0%	7
50.8%	48.4%	46.8%	0.1%	4.7%	0%	0%	8
59.7%	55.4%	37.5%	0.1%	7%	0%	0%	9
62.6%	58.1%	34.7%	0.1%	7%	0%	0%	10
67.4%	61.9%	29.9%	0.1%	8.2%	0%	0%	11
69%	63.3%	28.4%	0.1%	8.2%	0%	0%	12

Compiler

Compiled 12 to 9 computations (25% saved)

sample6.5s (54.3%)

Results

4.5s	2514×	body	8192	exit
1.8s	7767×	body	256	valid
161.0ms	210×	body	1024	valid
79.0ms	279×	body	512	valid
20.0ms	133×	body	256	infinite

Bogosity

preprocess3.0ms (0%)

Algorithm

2×	egg-herbie

Rules

4×	`rational.json-simplify-17`
4×	`rational.json-simplify-1`
2×	`rational.json-simplify-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	54
1	22	54
0	2	2

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 y x))
(-.f64 (log.f64 (+.f64 1 (exp.f64 y))) (*.f64 x y))

Compiler

Compiled 13 to 10 computations (23.1% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`rational.json-simplify-17`
2×	`rational.json-simplify-2`
2×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	27
1	15	27

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

eval0.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

prune1.0ms (0%)

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

0.8b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.8b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Compiler

Compiled 11 to 8 computations (27.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 1 (exp.f64 x))
✓	0.0b	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
✓	0.5b	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 28 to 14 computations (50% saved)

series90.0ms (0.7%)

Counts

3 → 32

Calls

12 calls:

Time	Variable		Point	Expression
69.0ms	x	@	inf	(log.f64 (+.f64 1 (exp.f64 x)))
17.0ms	x	@	-inf	(log.f64 (+.f64 1 (exp.f64 x)))
3.0ms	y	@	0	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
0.0ms	x	@	0	(log.f64 (+.f64 1 (exp.f64 x)))
0.0ms	x	@	-inf	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

rewrite91.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1538×	`bool.json-1`
1538×	`bool.json-2`
1490×	`rational.json-1`
1490×	`rational.json-2`
1490×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	53
1	115	53
2	319	53
3	640	53
4	1273	53
5	2805	53
6	5895	53

Stop Event

1×	node limit

Counts

3 → 72

Calls

Call 1

Inputs
(log.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 1 (exp.f64 x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (-.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/2) (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (log.f64 (-.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 8)) (.f64 2 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log.f64 (-.f64 (exp.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log.f64 (-.f64 (exp.f64 x) -1)) (log.f64 (-.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f64 (-.f64 (exp.f64 x) -1)) (log.f64 (-.f64 (exp.f64 x) -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (-.f64 1 (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (.f64 x y)) (log.f64 (-.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (-.f64 1 (.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 1/2) (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 -1 (-.f64 (.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (-.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/2) (.f64 x (.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (-.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 2) (.f64 y (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (-.f64 (.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (.f64 2 (-.f64 (.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 8)) (.f64 2 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))))) (neg.f64 (.f64 2 (-.f64 (.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (.f64 (-.f64 (.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))) 4) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (exp.f64 x) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (-.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (-.f64 (exp.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 (-.f64 (exp.f64 x) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (-.f64 (exp.f64 x) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 2 (.f64 (exp.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (exp.f64 x) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 2 (.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (-.f64 (exp.f64 x) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (-.f64 (exp.f64 x) -1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (-.f64 (exp.f64 x) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (.f64 (exp.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (exp.f64 x) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 (exp.f64 x) -1) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (-.f64 (exp.f64 x) -1) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 (-.f64 (exp.f64 x) -1) 8)) (.f64 2 (*.f64 (-.f64 (exp.f64 x) -1) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (exp.f64 x) -1) (-.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (exp.f64 x) -1) (-.f64 (exp.f64 x) -1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (-.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/2) (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (-.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 8)) (*.f64 2 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log.f64 (-.f64 (exp.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log.f64 (-.f64 (exp.f64 x) -1)) (log.f64 (-.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f64 (-.f64 (exp.f64 x) -1)) (log.f64 (-.f64 (exp.f64 x) -1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (-.f64 1 (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x y)) (log.f64 (-.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (-.f64 1 (*.f64 x y))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 1/2) (*.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (-.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/2) (*.f64 x (*.f64 y 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (-.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 2) (*.f64 y (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 2 (-.f64 (*.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 8)) (*.f64 2 (*.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 2 (-.f64 (*.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))))) (neg.f64 (*.f64 2 (-.f64 (*.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1)))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (-.f64 (*.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))) 4) -1) 4)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (exp.f64 x) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (exp.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (exp.f64 x) -1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (exp.f64 x) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 2 (*.f64 (exp.f64 x) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (exp.f64 x) -1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 2 (*.f64 (exp.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (exp.f64 x) -1) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (exp.f64 x) -1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (exp.f64 x) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (exp.f64 x) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 2 (*.f64 (exp.f64 x) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (exp.f64 x) -1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (exp.f64 x) -1) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (exp.f64 x) -1) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (exp.f64 x) -1) 8)) (*.f64 2 (*.f64 (-.f64 (exp.f64 x) -1) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (exp.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (exp.f64 x) -1) (-.f64 (exp.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (exp.f64 x) -1) (-.f64 (exp.f64 x) -1))))))

simplify196.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

2422×	`rational.json-simplify-2`
1538×	`rational.json-simplify-35`
1100×	`rational.json-simplify-1`
994×	`rational.json-simplify-52`
936×	`rational.json-simplify-26`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	164	2440
1	322	2248
2	800	2248
3	1946	2248
4	3231	2248
5	3781	2248
6	4189	2248
7	5371	2248
8	6503	2248
9	7075	2248

Stop Event

1×	node limit

Counts

104 → 114

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 0)
(+.f64 0 (log.f64 (-.f64 (exp.f64 x) -1)))
(+.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/2) (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/2))
(-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 0)
(*.f64 1 (log.f64 (-.f64 (exp.f64 x) -1)))
(*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1)
(.f64 2 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/2))
(.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 2) 1/2)
(*.f64 4 (/.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4))
(.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4) 1/4)
(.f64 1/2 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 2))
(.f64 1/4 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4))
(.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/2) 2)
(*.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4) 4)
(/.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1)
(/.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 2) 2)
(/.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4) 4)
(/.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 8) 8)
(/.f64 (.f64 2 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 8)) (.f64 2 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 8))) 32)
(+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (*.f64 x y)))
(+.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 0)
(+.f64 0 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)))
(+.f64 -1 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (-.f64 1 (*.f64 x y))))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (-.f64 (exp.f64 x) -1)))
(+.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (-.f64 1 (*.f64 x y))) -1)
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 1/2) (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 1/2))
(.f64 1 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)))
(.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 1)
(.f64 -1 (-.f64 (.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))))
(.f64 2 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 1/2))
(.f64 2 (-.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/2) (.f64 x (.f64 y 1/2))))
(.f64 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 2) 1/2)
(.f64 4 (/.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 4))
(.f64 (-.f64 (.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))) -1)
(.f64 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 4) 1/4)
(.f64 1/2 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 2))
(.f64 1/2 (-.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 2) (*.f64 y (+.f64 x x))))
(.f64 1/4 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 4))
(.f64 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 1/2) 2)
(.f64 (/.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 4) 4)
(/.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 1)
(/.f64 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 2) 2)
(/.f64 (-.f64 (*.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))) -1)
(/.f64 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 4) 4)
(/.f64 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 8) 8)
(/.f64 (.f64 2 (-.f64 (.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1)))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 8)) 16)
(/.f64 (.f64 (-.f64 (.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))) 4) -4)
(/.f64 (neg.f64 (.f64 2 (-.f64 (.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))))) 2)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 8)) (.f64 2 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 8))) 32)
(/.f64 (+.f64 (neg.f64 (.f64 2 (-.f64 (.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))))) (neg.f64 (.f64 2 (-.f64 (.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1)))))) 4)
(/.f64 (/.f64 (.f64 (-.f64 (.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))) 4) -1) 4)
(neg.f64 (-.f64 (*.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))))
(-.f64 (exp.f64 x) -1)
(-.f64 (-.f64 (exp.f64 x) -1) 0)
(*.f64 1 (-.f64 (exp.f64 x) -1))
(*.f64 (-.f64 (exp.f64 x) -1) 1)
(.f64 2 (.f64 (-.f64 (exp.f64 x) -1) 1/2))
(*.f64 4 (/.f64 (-.f64 (exp.f64 x) -1) 4))
(.f64 (+.f64 2 (.f64 (exp.f64 x) 2)) 1/2)
(.f64 (.f64 (-.f64 (exp.f64 x) -1) 4) 1/4)
(.f64 1/2 (+.f64 2 (.f64 (exp.f64 x) 2)))
(.f64 1/4 (.f64 (-.f64 (exp.f64 x) -1) 4))
(.f64 (.f64 (-.f64 (exp.f64 x) -1) 1/2) 2)
(*.f64 (/.f64 (-.f64 (exp.f64 x) -1) 4) 4)
(/.f64 (-.f64 (exp.f64 x) -1) 1)
(/.f64 (+.f64 2 (*.f64 (exp.f64 x) 2)) 2)
(/.f64 (*.f64 (-.f64 (exp.f64 x) -1) 4) 4)
(/.f64 (*.f64 (-.f64 (exp.f64 x) -1) 8) 8)
(/.f64 (.f64 2 (.f64 (-.f64 (exp.f64 x) -1) 8)) 16)
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (exp.f64 x) -1) 8)) (.f64 2 (.f64 (-.f64 (exp.f64 x) -1) 8))) 32)

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 1/8 (pow.f64 x 2))))
(+.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 1/8 (pow.f64 x 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (*.f64 -1/192 (pow.f64 x 4)))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (+.f64 (.f64 1/2 x) (*.f64 -1/192 (pow.f64 x 4)))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 -1/192 (pow.f64 x 4))) (*.f64 1/2 x)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (*.f64 -1/192 (pow.f64 x 4)))))
(log.f64 2)
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (log.f64 2)))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (.f64 x (-.f64 1/2 y))))
(+.f64 (log.f64 2) (+.f64 (.f64 x (-.f64 1/2 y)) (.f64 1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/8 (pow.f64 x 2)) (.f64 x (-.f64 1/2 y))))
(+.f64 (.f64 (-.f64 1/2 y) x) (+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (*.f64 -1/192 (pow.f64 x 4)) (log.f64 2))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (+.f64 (log.f64 2) (.f64 -1/192 (pow.f64 x 4))) (*.f64 x (-.f64 1/2 y))))
(+.f64 (.f64 1/8 (pow.f64 x 2)) (+.f64 (log.f64 2) (+.f64 (.f64 -1/192 (pow.f64 x 4)) (*.f64 x (-.f64 1/2 y)))))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 x y))
(*.f64 x (neg.f64 y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
2
(+.f64 2 x)
(+.f64 2 (+.f64 (*.f64 1/2 (pow.f64 x 2)) x))
(+.f64 (*.f64 1/2 (pow.f64 x 2)) (+.f64 2 x))
(+.f64 2 (+.f64 x (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (+.f64 2 x) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (.f64 1/6 (pow.f64 x 3)) (+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) x)))
(+.f64 2 (+.f64 (+.f64 x (.f64 1/2 (pow.f64 x 2))) (.f64 1/6 (pow.f64 x 3))))
(+.f64 2 (+.f64 (.f64 1/2 (pow.f64 x 2)) (+.f64 x (.f64 1/6 (pow.f64 x 3)))))
(+.f64 2 (+.f64 x (+.f64 (.f64 1/2 (pow.f64 x 2)) (.f64 1/6 (pow.f64 x 3)))))
(+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 0)
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 0 (log.f64 (-.f64 (exp.f64 x) -1)))
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/2) (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/2))
(log.f64 (+.f64 1 (exp.f64 x)))
(-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 0)
(log.f64 (+.f64 1 (exp.f64 x)))
(*.f64 1 (log.f64 (-.f64 (exp.f64 x) -1)))
(log.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1)
(log.f64 (+.f64 1 (exp.f64 x)))
(.f64 2 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/2))
(log.f64 (+.f64 1 (exp.f64 x)))
(.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 2) 1/2)
(log.f64 (+.f64 1 (exp.f64 x)))
(*.f64 4 (/.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4))
(log.f64 (+.f64 1 (exp.f64 x)))
(.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4) 1/4)
(log.f64 (+.f64 1 (exp.f64 x)))
(.f64 1/2 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 2))
(log.f64 (+.f64 1 (exp.f64 x)))
(.f64 1/4 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4))
(log.f64 (+.f64 1 (exp.f64 x)))
(.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/2) 2)
(log.f64 (+.f64 1 (exp.f64 x)))
(*.f64 (/.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4) 4)
(log.f64 (+.f64 1 (exp.f64 x)))
(/.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1)
(log.f64 (+.f64 1 (exp.f64 x)))
(/.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 2) 2)
(log.f64 (+.f64 1 (exp.f64 x)))
(/.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 4) 4)
(log.f64 (+.f64 1 (exp.f64 x)))
(/.f64 (*.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 8) 8)
(log.f64 (+.f64 1 (exp.f64 x)))
(/.f64 (.f64 2 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 8)) 16)
(log.f64 (+.f64 1 (exp.f64 x)))
(/.f64 (+.f64 (.f64 2 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 8)) (.f64 2 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 8))) 32)
(log.f64 (+.f64 1 (exp.f64 x)))
(+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (neg.f64 (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 0)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 0 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 -1 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (-.f64 1 (*.f64 x y))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 (-.f64 (exp.f64 x) -1)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (+.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (-.f64 1 (*.f64 x y))) -1)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(+.f64 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 1/2) (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 1/2))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 1 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 1)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 -1 (-.f64 (.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
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(.f64 2 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 1/2))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 2 (-.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 1/2) (.f64 x (.f64 y 1/2))))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
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(.f64 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 2) 1/2)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(.f64 4 (/.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 4))
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
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(.f64 (-.f64 (.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))) -1)
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(.f64 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 4) 1/4)
(+.f64 (log.f64 (+.f64 1 (exp.f64 x))) (neg.f64 (*.f64 x y)))
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(.f64 1/2 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 2))
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(.f64 1/2 (-.f64 (.f64 (log.f64 (-.f64 (exp.f64 x) -1)) 2) (*.f64 y (+.f64 x x))))
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(.f64 1/4 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (*.f64 x y)) 4))
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(/.f64 (.f64 (-.f64 (log.f64 (-.f64 (exp.f64 x) -1)) (.f64 x y)) 2) 2)
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(/.f64 (-.f64 (*.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))) -1)
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(neg.f64 (-.f64 (*.f64 x y) (log.f64 (-.f64 (exp.f64 x) -1))))
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(*.f64 1 (-.f64 (exp.f64 x) -1))
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(*.f64 (-.f64 (exp.f64 x) -1) 1)
(+.f64 1 (exp.f64 x))
(.f64 2 (.f64 (-.f64 (exp.f64 x) -1) 1/2))
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(*.f64 4 (/.f64 (-.f64 (exp.f64 x) -1) 4))
(+.f64 1 (exp.f64 x))
(.f64 (+.f64 2 (.f64 (exp.f64 x) 2)) 1/2)
(.f64 1/2 (+.f64 2 (.f64 2 (exp.f64 x))))
(.f64 (.f64 (-.f64 (exp.f64 x) -1) 4) 1/4)
(+.f64 1 (exp.f64 x))
(.f64 1/2 (+.f64 2 (.f64 (exp.f64 x) 2)))
(.f64 1/2 (+.f64 2 (.f64 2 (exp.f64 x))))
(.f64 1/4 (.f64 (-.f64 (exp.f64 x) -1) 4))
(+.f64 1 (exp.f64 x))
(.f64 (.f64 (-.f64 (exp.f64 x) -1) 1/2) 2)
(+.f64 1 (exp.f64 x))
(*.f64 (/.f64 (-.f64 (exp.f64 x) -1) 4) 4)
(+.f64 1 (exp.f64 x))
(/.f64 (-.f64 (exp.f64 x) -1) 1)
(+.f64 1 (exp.f64 x))
(/.f64 (+.f64 2 (*.f64 (exp.f64 x) 2)) 2)
(/.f64 (+.f64 2 (*.f64 2 (exp.f64 x))) 2)
(/.f64 (*.f64 (-.f64 (exp.f64 x) -1) 4) 4)
(+.f64 1 (exp.f64 x))
(/.f64 (*.f64 (-.f64 (exp.f64 x) -1) 8) 8)
(+.f64 1 (exp.f64 x))
(/.f64 (.f64 2 (.f64 (-.f64 (exp.f64 x) -1) 8)) 16)
(+.f64 1 (exp.f64 x))
(/.f64 (+.f64 (.f64 2 (.f64 (-.f64 (exp.f64 x) -1) 8)) (.f64 2 (.f64 (-.f64 (exp.f64 x) -1) 8))) 32)
(+.f64 1 (exp.f64 x))

eval27.0ms (0.2%)

Compiler: Compiled 1550 to 983 computations (36.6% saved)

prune15.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	110	4	114
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	111	4	115

Error

0.6b

Counts

115 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	9.4b	(-.f64 (log.f64 2) (*.f64 x y))
▶	14.9b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
▶	33.5b	(*.f64 x (neg.f64 y))
▶	30.1b	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 31 to 24 computations (22.6% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.0b	(+.f64 1 (exp.f64 x))
	0.5b	(log.f64 (+.f64 1 (exp.f64 x)))

Compiler

Compiled 15 to 9 computations (40% saved)

localize4.0ms (0%)

Compiler: Compiled 10 to 4 computations (60% saved)

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 (-.f64 1/2 y) x)
✓	0.0b	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))

Compiler

Compiled 24 to 17 computations (29.2% saved)

series6.0ms (0%)

Counts

2 → 27

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	y	@	0	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
1.0ms	x	@	0	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
0.0ms	x	@	-inf	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
0.0ms	y	@	inf	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
0.0ms	x	@	inf	(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))

rewrite86.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1474×	`rational.json-simplify-35`
1338×	`bool.json-1`
1338×	`bool.json-2`
1294×	`rational.json-1`
1294×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	106	36
2	264	36
3	524	36
4	1079	36
5	2385	36
6	5014	36

Stop Event

1×	node limit

Counts

2 → 33

Calls

Call 1

Inputs
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))
(*.f64 (-.f64 1/2 y) x)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (.f64 2 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 2 (log.f64 2)) (.f64 (-.f64 1/2 y) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/2 (+.f64 (.f64 (-.f64 1/2 y) (+.f64 x x)) (.f64 2 (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (.f64 1/2 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 1/2 (log.f64 2)) (.f64 (-.f64 1/2 y) (.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 2 (+.f64 (.f64 (-.f64 1/2 y) (.f64 1/2 x)) (.f64 1/2 (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 2 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 4 (/.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (.f64 1/2 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f64 1/4 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f64 (/.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 1/2 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (.f64 (-.f64 1/2 y) (.f64 1/2 x)) (.f64 (-.f64 1/2 y) (.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (.f64 (-.f64 1/2 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/2 y) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (-.f64 1/2 y) (.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 (.f64 (-.f64 1/2 y) x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 (.f64 (-.f64 1/2 y) x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1/2 y) x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1/2 y) x) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1/2 y) x) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f64 (-.f64 1/2 y) x) (.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f64 (-.f64 1/2 y) x) (*.f64 (-.f64 1/2 y) x))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 2 (log.f64 2)) (*.f64 (-.f64 1/2 y) (+.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 (*.f64 (-.f64 1/2 y) (+.f64 x x)) (*.f64 2 (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 1/2 (log.f64 2)) (*.f64 (-.f64 1/2 y) (*.f64 1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 (-.f64 1/2 y) (*.f64 1/2 x)) (*.f64 1/2 (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1/2 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 1/2 y) (*.f64 1/2 x)) (*.f64 (-.f64 1/2 y) (*.f64 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (-.f64 1/2 y) x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/2 y) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/2 y) (+.f64 x x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1/2 y) (*.f64 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (-.f64 1/2 y) x) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 (-.f64 1/2 y) x) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 1/2 y) x) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 1/2 y) x) 8))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 (-.f64 1/2 y) x) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 (-.f64 1/2 y) x)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 (-.f64 1/2 y) x) (*.f64 (-.f64 1/2 y) x))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 (-.f64 1/2 y) x) (*.f64 (-.f64 1/2 y) x))))))

simplify552.0ms (4.6%)

Algorithm

1×	egg-herbie

Rules

3860×	`rational.json-simplify-41`
3296×	`rational.json-simplify-35`
1398×	`rational.json-simplify-2`
584×	`rational.json-simplify-1`
480×	`rational.json-simplify-51`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	83	1296
1	171	1252
2	389	1144
3	1094	1144
4	2147	1144
5	2733	1144
6	3030	1144
7	3212	1144
8	3344	1144
9	3470	1144
10	3587	1144
11	3703	1144
12	3939	1144
13	3957	1144
14	3989	1144
15	4006	1144
16	4024	1144
17	4038	1144
18	4159	1144
19	4276	1144
20	7306	1144
21	7467	1144
22	7642	1144
23	7786	1144
24	7932	1144

Stop Event

1×	node limit

Counts

60 → 51

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(*.f64 (-.f64 1/2 y) x)
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 0)
(.f64 1/2 (.f64 2 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(.f64 1/2 (+.f64 (.f64 2 (log.f64 2)) (*.f64 (-.f64 1/2 y) (+.f64 x x))))
(.f64 1/2 (+.f64 (.f64 (-.f64 1/2 y) (+.f64 x x)) (*.f64 2 (log.f64 2))))
(.f64 2 (.f64 1/2 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(.f64 2 (+.f64 (.f64 1/2 (log.f64 2)) (.f64 (-.f64 1/2 y) (.f64 1/2 x))))
(.f64 2 (+.f64 (.f64 (-.f64 1/2 y) (.f64 1/2 x)) (.f64 1/2 (log.f64 2))))
(.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 1)
(.f64 1 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(.f64 (.f64 2 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 4))
(.f64 (.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 4) 1/4)
(.f64 (.f64 1/2 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) 2)
(.f64 1/4 (.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 4))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 4) 4)
(/.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 1)
(/.f64 (.f64 2 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) 2)
(/.f64 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 4) 4)
(/.f64 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 8)))) 64)
(+.f64 (*.f64 (-.f64 1/2 y) x) 0)
(+.f64 0 (*.f64 (-.f64 1/2 y) x))
(+.f64 (.f64 (-.f64 1/2 y) (.f64 1/2 x)) (.f64 (-.f64 1/2 y) (.f64 1/2 x)))
(-.f64 (*.f64 (-.f64 1/2 y) x) 0)
(/.f64 (*.f64 (-.f64 1/2 y) x) 1)
(/.f64 (*.f64 (-.f64 1/2 y) (+.f64 x x)) 2)
(/.f64 (.f64 (-.f64 1/2 y) (.f64 x 4)) 4)
(/.f64 (.f64 (.f64 (-.f64 1/2 y) x) 8) 8)
(/.f64 (.f64 2 (.f64 (*.f64 (-.f64 1/2 y) x) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1/2 y) x) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1/2 y) x) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1/2 y) x) 8)))) 64)

Outputs
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 x y))))
(+.f64 (.f64 y (neg.f64 x)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (neg.f64 y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 x y))))
(+.f64 (.f64 y (neg.f64 x)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (neg.f64 y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 x y))))
(+.f64 (.f64 y (neg.f64 x)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (neg.f64 y))))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 x y))))
(+.f64 (.f64 y (neg.f64 x)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (neg.f64 y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 x y))))
(+.f64 (.f64 y (neg.f64 x)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (neg.f64 y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 x y))))
(+.f64 (.f64 y (neg.f64 x)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (neg.f64 y))))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 x y))))
(+.f64 (.f64 y (neg.f64 x)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (neg.f64 y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 x y))))
(+.f64 (.f64 y (neg.f64 x)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (neg.f64 y))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 y x))))
(+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (.f64 -1 (*.f64 x y))))
(+.f64 (.f64 y (neg.f64 x)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (log.f64 2) (*.f64 x (+.f64 1/2 (neg.f64 y))))
(log.f64 2)
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 (-.f64 1/2 y) x)
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 x y)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 x y)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 x y)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 x y)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 x y)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 x y)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 -1 (.f64 y x))
(.f64 -1 (.f64 x y))
(*.f64 y (neg.f64 x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 x y)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 x y)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 x y)))
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(-.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 0)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(.f64 1/2 (.f64 2 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(.f64 1/2 (+.f64 (.f64 2 (log.f64 2)) (*.f64 (-.f64 1/2 y) (+.f64 x x))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(.f64 1/2 (+.f64 (.f64 (-.f64 1/2 y) (+.f64 x x)) (*.f64 2 (log.f64 2))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(.f64 2 (.f64 1/2 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(.f64 2 (+.f64 (.f64 1/2 (log.f64 2)) (.f64 (-.f64 1/2 y) (.f64 1/2 x))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(.f64 2 (+.f64 (.f64 (-.f64 1/2 y) (.f64 1/2 x)) (.f64 1/2 (log.f64 2))))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 1)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(.f64 1 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(.f64 (.f64 2 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) 1/2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(.f64 4 (/.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 4))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(.f64 (.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 4) 1/4)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(.f64 (.f64 1/2 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))) 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(.f64 1/4 (.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 4))
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(.f64 (/.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 4) 4)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(/.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 1)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(/.f64 (.f64 2 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2))) 2)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(/.f64 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 4) 4)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(/.f64 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 8) 8)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2)) 8)) 16)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 8))) 32)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)) 8)))) 64)
(+.f64 (log.f64 2) (*.f64 x (-.f64 1/2 y)))
(+.f64 (*.f64 (-.f64 1/2 y) x) 0)
(*.f64 x (-.f64 1/2 y))
(+.f64 0 (*.f64 (-.f64 1/2 y) x))
(*.f64 x (-.f64 1/2 y))
(+.f64 (.f64 (-.f64 1/2 y) (.f64 1/2 x)) (.f64 (-.f64 1/2 y) (.f64 1/2 x)))
(*.f64 x (-.f64 1/2 y))
(-.f64 (*.f64 (-.f64 1/2 y) x) 0)
(*.f64 x (-.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/2 y) x) 1)
(*.f64 x (-.f64 1/2 y))
(/.f64 (*.f64 (-.f64 1/2 y) (+.f64 x x)) 2)
(*.f64 x (-.f64 1/2 y))
(/.f64 (.f64 (-.f64 1/2 y) (.f64 x 4)) 4)
(*.f64 x (-.f64 1/2 y))
(/.f64 (.f64 (.f64 (-.f64 1/2 y) x) 8) 8)
(*.f64 x (-.f64 1/2 y))
(/.f64 (.f64 2 (.f64 (*.f64 (-.f64 1/2 y) x) 8)) 16)
(*.f64 x (-.f64 1/2 y))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1/2 y) x) 8))) 32)
(*.f64 x (-.f64 1/2 y))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1/2 y) x) 8))) (.f64 2 (.f64 2 (.f64 (.f64 (-.f64 1/2 y) x) 8)))) 64)
(*.f64 x (-.f64 1/2 y))

localize10.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(-.f64 (log.f64 2) (*.f64 x y))

Compiler

Compiled 16 to 9 computations (43.8% saved)

series1.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	x	@	inf	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	x	@	-inf	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	y	@	-inf	(-.f64 (log.f64 2) (*.f64 x y))
0.0ms	y	@	inf	(-.f64 (log.f64 2) (*.f64 x y))

rewrite109.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1928×	`bool.json-1`
1928×	`bool.json-2`
1382×	`rational.json-simplify-35`
1138×	`rational.json-1`
1138×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	87	17
2	229	17
3	466	17
4	956	17
5	2117	17
6	4450	17
7	7501	17

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

Inputs
(-.f64 (log.f64 2) (*.f64 x y))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 2) (neg.f64 (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (log.f64 2) (*.f64 x y)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 x y)) (log.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 2) 1/2) (-.f64 (*.f64 (log.f64 2) 1/2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1/2) (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 1 (*.f64 x y)) (+.f64 (log.f64 2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -2 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (log.f64 2) 1) (-.f64 (neg.f64 (*.f64 x y)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (-.f64 (log.f64 2) (*.f64 x y))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 x y) (log.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (-.f64 (log.f64 2) (*.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (-.f64 (/.f64 (log.f64 2) 4) (/.f64 (*.f64 x y) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (-.f64 (*.f64 x y) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (-.f64 (*.f64 (log.f64 2) 4) (*.f64 x (*.f64 y 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (-.f64 (log.f64 2) (*.f64 x y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (log.f64 2) (*.f64 x y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 x y) (log.f64 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (-.f64 (*.f64 x y) (log.f64 2))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 x y) (log.f64 2)) 4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (-.f64 (*.f64 x y) (log.f64 2)) 4)) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x y) (log.f64 2)) 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 8))) (*.f64 2 (*.f64 2 (*.f64 (-.f64 (log.f64 2) (*.f64 x y)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (neg.f64 (*.f64 (-.f64 (*.f64 x y) (log.f64 2)) 4)) (neg.f64 (*.f64 (-.f64 (*.f64 x y) (log.f64 2)) 4))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (-.f64 (*.f64 x y) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f64 (log.f64 2) (*.f64 x y))))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f64 (log.f64 2) (*.f64 x y)) (-.f64 (log.f64 2) (*.f64 x y)))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f64 (log.f64 2) (*.f64 x y)) (-.f64 (log.f64 2) (*.f64 x y)))))))

simplify518.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

2872×	`rational.json-simplify-35`
2076×	`rational.json-simplify-2`
1222×	`rational.json-simplify-1`
944×	`rational.json-simplify-51`
942×	`rational.json-simplify-52`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	97	1325
1	209	1325
2	513	1325
3	1272	1097
4	2251	1097
5	3476	1097
6	4496	1097
7	5064	1097
8	6033	1097
9	6226	1097
10	6403	1097
11	6574	1097
12	7240	1097
13	7245	1097
14	7329	1097
15	7329	1097
16	7498	1097
17	7667	1097
18	7836	1097

Stop Event

1×	node limit

Counts

65 → 51

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 x y)))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 0)
(+.f64 0 (-.f64 (log.f64 2) (*.f64 x y)))
(+.f64 1 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) -1))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 2))
(+.f64 -1 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1))
(+.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1) -1)
(+.f64 (.f64 (log.f64 2) 1/2) (-.f64 (.f64 (log.f64 2) 1/2) (*.f64 x y)))
(+.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) 1/2) (.f64 (-.f64 (log.f64 2) (.f64 x y)) 1/2))
(+.f64 (-.f64 1 (*.f64 x y)) (+.f64 (log.f64 2) -1))
(+.f64 -2 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2))
(+.f64 (+.f64 (log.f64 2) 1) (-.f64 (neg.f64 (*.f64 x y)) 1))
(+.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2) -2)
(.f64 2 (.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1/2))
(.f64 (-.f64 (log.f64 2) (.f64 x y)) 1)
(.f64 1 (-.f64 (log.f64 2) (.f64 x y)))
(.f64 (.f64 2 (-.f64 (log.f64 2) (*.f64 x y))) 1/2)
(.f64 (-.f64 (.f64 x y) (log.f64 2)) -1)
(.f64 4 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) 4))
(.f64 4 (-.f64 (/.f64 (log.f64 2) 4) (/.f64 (.f64 x y) 4)))
(.f64 (.f64 (-.f64 (log.f64 2) (*.f64 x y)) 4) 1/4)
(.f64 -1 (-.f64 (.f64 x y) (log.f64 2)))
(.f64 1/2 (.f64 2 (-.f64 (log.f64 2) (*.f64 x y))))
(.f64 (.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1/2) 2)
(.f64 1/4 (.f64 (-.f64 (log.f64 2) (*.f64 x y)) 4))
(.f64 1/4 (-.f64 (.f64 (log.f64 2) 4) (.f64 x (.f64 y 4))))
(.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) 4) 4)
(/.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(/.f64 (.f64 2 (-.f64 (log.f64 2) (.f64 x y))) 2)
(/.f64 (-.f64 (*.f64 x y) (log.f64 2)) -1)
(/.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) 4) 4)
(/.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) 8) 8)
(/.f64 (.f64 2 (-.f64 (.f64 x y) (log.f64 2))) -2)
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 2) (*.f64 x y)) 8)) 16)
(/.f64 (.f64 (-.f64 (.f64 x y) (log.f64 2)) 4) -4)
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 2) (.f64 x y)) 8))) 32)
(/.f64 (.f64 2 (.f64 (-.f64 (*.f64 x y) (log.f64 2)) 4)) -8)
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x y) (log.f64 2)) 4)) 4)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 2) (.f64 x y)) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 2) (.f64 x y)) 8)))) 64)
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (.f64 x y) (log.f64 2)) 4)) (neg.f64 (.f64 (-.f64 (.f64 x y) (log.f64 2)) 4))) 8)
(neg.f64 (-.f64 (*.f64 x y) (log.f64 2)))

Outputs
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(log.f64 2)
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 -1 (.f64 y x))
(neg.f64 (*.f64 y x))
(*.f64 y (neg.f64 x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (.f64 -1 (.f64 y x)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (log.f64 2) (neg.f64 (*.f64 x y)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 0)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 0 (-.f64 (log.f64 2) (*.f64 x y)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 1 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) -1))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (neg.f64 (*.f64 x y)) (log.f64 2))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 -1 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1) -1)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (.f64 (log.f64 2) 1/2) (-.f64 (.f64 (log.f64 2) 1/2) (*.f64 x y)))
(+.f64 (.f64 (log.f64 2) 1/2) (-.f64 (.f64 (log.f64 2) 1/2) (*.f64 y x)))
(+.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) 1/2) (.f64 (-.f64 (log.f64 2) (.f64 x y)) 1/2))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (-.f64 1 (*.f64 x y)) (+.f64 (log.f64 2) -1))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 -2 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (+.f64 (log.f64 2) 1) (-.f64 (neg.f64 (*.f64 x y)) 1))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(+.f64 (+.f64 (-.f64 (log.f64 2) (*.f64 x y)) 2) -2)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 2 (.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1/2))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (-.f64 (log.f64 2) (.f64 x y)) 1)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 1 (-.f64 (log.f64 2) (.f64 x y)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (.f64 2 (-.f64 (log.f64 2) (*.f64 x y))) 1/2)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (-.f64 (.f64 x y) (log.f64 2)) -1)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 4 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) 4))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 4 (-.f64 (/.f64 (log.f64 2) 4) (/.f64 (.f64 x y) 4)))
(.f64 4 (-.f64 (/.f64 (log.f64 2) 4) (.f64 y (/.f64 x 4))))
(.f64 (.f64 (-.f64 (log.f64 2) (*.f64 x y)) 4) 1/4)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 -1 (-.f64 (.f64 x y) (log.f64 2)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 1/2 (.f64 2 (-.f64 (log.f64 2) (*.f64 x y))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1/2) 2)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 1/4 (.f64 (-.f64 (log.f64 2) (*.f64 x y)) 4))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 1/4 (-.f64 (.f64 (log.f64 2) 4) (.f64 x (.f64 y 4))))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(.f64 (/.f64 (-.f64 (log.f64 2) (.f64 x y)) 4) 4)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 (-.f64 (log.f64 2) (*.f64 x y)) 1)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 (.f64 2 (-.f64 (log.f64 2) (.f64 x y))) 2)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 (-.f64 (*.f64 x y) (log.f64 2)) -1)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) 4) 4)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 (.f64 (-.f64 (log.f64 2) (.f64 x y)) 8) 8)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 (.f64 2 (-.f64 (.f64 x y) (log.f64 2))) -2)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 (.f64 2 (.f64 (-.f64 (log.f64 2) (*.f64 x y)) 8)) 16)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 (.f64 (-.f64 (.f64 x y) (log.f64 2)) 4) -4)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 2) (.f64 x y)) 8))) 32)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 (.f64 2 (.f64 (-.f64 (*.f64 x y) (log.f64 2)) 4)) -8)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 (neg.f64 (.f64 (-.f64 (.f64 x y) (log.f64 2)) 4)) 4)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 2) (.f64 x y)) 8))) (.f64 2 (.f64 2 (.f64 (-.f64 (log.f64 2) (.f64 x y)) 8)))) 64)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(/.f64 (+.f64 (neg.f64 (.f64 (-.f64 (.f64 x y) (log.f64 2)) 4)) (neg.f64 (.f64 (-.f64 (.f64 x y) (log.f64 2)) 4))) 8)
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))
(neg.f64 (-.f64 (*.f64 x y) (log.f64 2)))
(+.f64 (log.f64 2) (neg.f64 (*.f64 y x)))
(+.f64 (log.f64 2) (*.f64 y (neg.f64 x)))
(-.f64 (log.f64 2) (*.f64 y x))

eval36.0ms (0.3%)

Compiler: Compiled 1710 to 1292 computations (24.4% saved)

prune22.0ms (0.2%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	160	4	164
Fresh	0	0	0
Picked	0	1	1
Done	1	2	3
Total	161	7	168

Error

0.6b

Counts

168 → 7

Alt Table

Click to see full alt table

Status	Error	Program
✓	9.4b	(-.f64 (log.f64 2) (*.f64 x y))
▶	30.1b	(+.f64 (*.f64 1/2 x) (log.f64 2))
▶	47.3b	(*.f64 (-.f64 1/2 y) x)
✓	33.5b	(*.f64 x (neg.f64 y))
▶	30.8b	(log.f64 (+.f64 2 x))
✓	30.1b	(log.f64 (+.f64 1 (exp.f64 x)))
▶	30.4b	(log.f64 2)

Compiler

Compiled 46 to 37 computations (19.6% saved)

localize4.0ms (0%)

Compiler: Compiled 5 to 5 computations (0% saved)

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(log.f64 (+.f64 2 x))

Compiler

Compiled 11 to 8 computations (27.3% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(log.f64 (+.f64 2 x))
0.0ms	x	@	-inf	(log.f64 (+.f64 2 x))
0.0ms	x	@	0	(log.f64 (+.f64 2 x))

rewrite94.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1884×	`bool.json-1`
1884×	`bool.json-2`
1146×	`rational.json-1`
1146×	`rational.json-2`
1146×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	11
1	69	11
2	190	11
3	380	11
4	778	11
5	1686	11
6	4094	11
7	7260	11

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(log.f64 (+.f64 2 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (+.f64 2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2) (*.f64 (log.f64 (+.f64 2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (log.f64 (+.f64 2 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (log.f64 (+.f64 2 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (log.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (log.f64 (+.f64 2 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (log.f64 (+.f64 2 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 2 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 2 x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 2 (log.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (log.f64 (+.f64 2 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (log.f64 (+.f64 2 x)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (log.f64 (+.f64 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (log.f64 (+.f64 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 2 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (log.f64 (+.f64 2 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (log.f64 (+.f64 2 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (+.f64 2 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (log.f64 (+.f64 2 x)) 8))) (*.f64 2 (*.f64 2 (*.f64 (log.f64 (+.f64 2 x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log.f64 (+.f64 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log.f64 (+.f64 2 x)) (log.f64 (+.f64 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (log.f64 (+.f64 2 x)) (log.f64 (+.f64 2 x)))))))

simplify582.0ms (4.8%)

Algorithm

1×	egg-herbie

Rules

1976×	`rational.json-simplify-2`
1798×	`rational.json-simplify-35`
1306×	`rational.json-simplify-46`
1294×	`rational.json-simplify-1`
1006×	`rational.json-simplify-49`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	780
1	175	764
2	418	740
3	951	740
4	1481	740
5	2813	740
6	3559	740
7	3627	740
8	3670	740
9	3711	740
10	3752	740
11	3793	740
12	3860	740
13	3901	740
14	3942	740
15	3983	740
16	4024	740
17	4065	740
18	4106	740
19	4840	740
20	5239	740
21	5292	740
22	5345	740
23	5401	740
24	5470	740
25	5592	740
26	5990	740
27	7267	740

Stop Event

1×	node limit

Counts

34 → 62

Calls

Call 1

Inputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (log.f64 (+.f64 2 x)) 0)
(+.f64 0 (log.f64 (+.f64 2 x)))
(+.f64 (.f64 (log.f64 (+.f64 2 x)) 1/2) (.f64 (log.f64 (+.f64 2 x)) 1/2))
(-.f64 (log.f64 (+.f64 2 x)) 0)
(.f64 2 (.f64 (log.f64 (+.f64 2 x)) 1/2))
(*.f64 (log.f64 (+.f64 2 x)) 1)
(*.f64 1 (log.f64 (+.f64 2 x)))
(.f64 (.f64 2 (log.f64 (+.f64 2 x))) 1/2)
(.f64 4 (.f64 (log.f64 (+.f64 2 x)) 1/4))
(.f64 (.f64 (log.f64 (+.f64 2 x)) 4) 1/4)
(.f64 (.f64 (log.f64 (+.f64 2 x)) 8) 1/8)
(.f64 1/2 (.f64 2 (log.f64 (+.f64 2 x))))
(.f64 (.f64 (log.f64 (+.f64 2 x)) 1/2) 2)
(.f64 1/4 (.f64 (log.f64 (+.f64 2 x)) 4))
(.f64 (.f64 (log.f64 (+.f64 2 x)) 1/4) 4)
(/.f64 (log.f64 (+.f64 2 x)) 1)
(/.f64 (*.f64 2 (log.f64 (+.f64 2 x))) 2)
(/.f64 (*.f64 (log.f64 (+.f64 2 x)) 4) 4)
(/.f64 (*.f64 (log.f64 (+.f64 2 x)) 8) 8)
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 2 x)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (*.f64 (log.f64 (+.f64 2 x)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 2 x)) 8))) (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 2 x)) 8)))) 64)

Outputs
(log.f64 2)
(+.f64 (*.f64 1/2 x) (log.f64 2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (+.f64 (log.f64 2) (.f64 1/2 x)) (.f64 -1/8 (pow.f64 x 2)))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 x) (.f64 -1/8 (pow.f64 x 2))))
(+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (+.f64 (log.f64 2) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (.f64 1/2 x) (+.f64 (+.f64 (log.f64 2) (.f64 1/24 (pow.f64 x 3))) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (+.f64 (.f64 1/2 x) (.f64 1/24 (pow.f64 x 3))) (*.f64 -1/8 (pow.f64 x 2))))
(+.f64 (log.f64 2) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (+.f64 (.f64 1/2 x) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/2 x) (+.f64 (.f64 -1/8 (pow.f64 x 2)) (*.f64 1/24 (pow.f64 x 3)))))
(+.f64 (log.f64 2) (+.f64 (.f64 1/24 (pow.f64 x 3)) (+.f64 (.f64 1/2 x) (*.f64 -1/8 (pow.f64 x 2)))))
(*.f64 -1 (log.f64 (/.f64 1 x)))
(neg.f64 (log.f64 (/.f64 1 x)))
(+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (*.f64 2 (/.f64 1 x)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 2 (/.f64 1 x)) (-.f64 (neg.f64 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (*.f64 2 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x)))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x))) (-.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (.f64 2 (/.f64 1 x))) (-.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (*.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (.f64 2 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) (.f64 8/3 (/.f64 1 (pow.f64 x 3)))))
(+.f64 (neg.f64 (log.f64 (/.f64 1 x))) (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (.f64 2 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (*.f64 -1 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))
(+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 2 (/.f64 1 x)) (log.f64 -1)))
(+.f64 (*.f64 2 (/.f64 1 x)) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (log.f64 -1)))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x)))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 2 (/.f64 1 x)) (log.f64 -1))) (*.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (log.f64 -1)) (.f64 2 (/.f64 1 (pow.f64 x 2)))))
(+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (*.f64 2 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2))))))
(+.f64 (log.f64 -1) (+.f64 (*.f64 2 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) (neg.f64 (log.f64 (/.f64 -1 x)))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (/.f64 1 x))))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(-.f64 (+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (.f64 -1 (log.f64 (/.f64 -1 x))) (+.f64 (.f64 2 (/.f64 1 x)) (log.f64 -1)))) (.f64 2 (/.f64 1 (pow.f64 x 2))))
(+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (-.f64 (+.f64 (.f64 2 (/.f64 1 x)) (log.f64 -1)) (*.f64 2 (/.f64 1 (pow.f64 x 2))))))
(+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (neg.f64 (log.f64 (/.f64 -1 x))) (+.f64 (log.f64 -1) (.f64 2 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))))))
(+.f64 (.f64 8/3 (/.f64 1 (pow.f64 x 3))) (+.f64 (log.f64 -1) (+.f64 (.f64 2 (-.f64 (/.f64 1 x) (/.f64 1 (pow.f64 x 2)))) (neg.f64 (log.f64 (/.f64 -1 x))))))
(+.f64 (log.f64 (+.f64 2 x)) 0)
(log.f64 (+.f64 2 x))
(+.f64 0 (log.f64 (+.f64 2 x)))
(log.f64 (+.f64 2 x))
(+.f64 (.f64 (log.f64 (+.f64 2 x)) 1/2) (.f64 (log.f64 (+.f64 2 x)) 1/2))
(log.f64 (+.f64 2 x))
(-.f64 (log.f64 (+.f64 2 x)) 0)
(log.f64 (+.f64 2 x))
(.f64 2 (.f64 (log.f64 (+.f64 2 x)) 1/2))
(log.f64 (+.f64 2 x))
(*.f64 (log.f64 (+.f64 2 x)) 1)
(log.f64 (+.f64 2 x))
(*.f64 1 (log.f64 (+.f64 2 x)))
(log.f64 (+.f64 2 x))
(.f64 (.f64 2 (log.f64 (+.f64 2 x))) 1/2)
(log.f64 (+.f64 2 x))
(.f64 4 (.f64 (log.f64 (+.f64 2 x)) 1/4))
(log.f64 (+.f64 2 x))
(.f64 (.f64 (log.f64 (+.f64 2 x)) 4) 1/4)
(log.f64 (+.f64 2 x))
(.f64 (.f64 (log.f64 (+.f64 2 x)) 8) 1/8)
(log.f64 (+.f64 2 x))
(.f64 1/2 (.f64 2 (log.f64 (+.f64 2 x))))
(log.f64 (+.f64 2 x))
(.f64 (.f64 (log.f64 (+.f64 2 x)) 1/2) 2)
(log.f64 (+.f64 2 x))
(.f64 1/4 (.f64 (log.f64 (+.f64 2 x)) 4))
(log.f64 (+.f64 2 x))
(.f64 (.f64 (log.f64 (+.f64 2 x)) 1/4) 4)
(log.f64 (+.f64 2 x))
(/.f64 (log.f64 (+.f64 2 x)) 1)
(log.f64 (+.f64 2 x))
(/.f64 (*.f64 2 (log.f64 (+.f64 2 x))) 2)
(log.f64 (+.f64 2 x))
(/.f64 (*.f64 (log.f64 (+.f64 2 x)) 4) 4)
(log.f64 (+.f64 2 x))
(/.f64 (*.f64 (log.f64 (+.f64 2 x)) 8) 8)
(log.f64 (+.f64 2 x))
(/.f64 (.f64 2 (.f64 (log.f64 (+.f64 2 x)) 8)) 16)
(log.f64 (+.f64 2 x))
(/.f64 (.f64 2 (.f64 2 (*.f64 (log.f64 (+.f64 2 x)) 8))) 32)
(log.f64 (+.f64 2 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 2 x)) 8))) (.f64 2 (.f64 2 (.f64 (log.f64 (+.f64 2 x)) 8)))) 64)
(log.f64 (+.f64 2 x))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
	0.0b	(*.f64 (-.f64 1/2 y) x)

Compiler

Compiled 13 to 8 computations (38.5% saved)

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (*.f64 1/2 x) (log.f64 2))

Compiler

Compiled 16 to 13 computations (18.8% saved)

series0.0ms (0%)

Counts

1 → 3

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (*.f64 1/2 x) (log.f64 2))
0.0ms	x	@	-inf	(+.f64 (*.f64 1/2 x) (log.f64 2))
0.0ms	x	@	inf	(+.f64 (*.f64 1/2 x) (log.f64 2))

rewrite103.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1782×	`bool.json-1`
1782×	`bool.json-2`
1734×	`rational.json-1`
1114×	`rational.json-2`
1114×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	88	17
2	225	17
3	440	17
4	882	17
5	1923	17
6	4139	17
7	6943	17

Stop Event

1×	node limit

Counts

1 → 22

Calls

Call 1

Inputs
(+.f64 (*.f64 1/2 x) (log.f64 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x (*.f64 2 (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 1/2 (+.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (+.f64 (*.f64 1/2 (log.f64 2)) (*.f64 x 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (*.f64 1/2 x) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 2 (log.f64 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 1/2 (+.f64 (*.f64 1/2 x) (log.f64 2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (/.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 x (*.f64 2 (log.f64 2)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 2 (+.f64 x (*.f64 2 (log.f64 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (+.f64 (+.f64 x x) (*.f64 (log.f64 2) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 (*.f64 1/2 x) (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 x (*.f64 2 (log.f64 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (+.f64 x (*.f64 2 (log.f64 2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 8))) (*.f64 2 (*.f64 2 (*.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f64 (*.f64 1/2 x) (log.f64 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f64 (*.f64 1/2 x) (log.f64 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f64 (*.f64 1/2 x) (log.f64 2)) (+.f64 (*.f64 1/2 x) (log.f64 2)))))))

simplify751.0ms (6.2%)

Algorithm

1×	egg-herbie

Rules

9292×	`rational.json-simplify-41`
1918×	`rational.json-simplify-35`
1152×	`rational.json-simplify-2`
1044×	`rational.json-simplify-1`
692×	`rational.json-simplify-51`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	447
1	116	447
2	206	447
3	612	447
4	1732	447
5	3056	447
6	3726	447
7	3774	447
8	3810	447
9	3842	447
10	3874	447
11	3904	447
12	3953	447
13	3983	447
14	4013	447
15	4043	447
16	4073	447
17	4103	447
18	4133	447
19	4163	447
20	4193	447
21	4223	447
22	4253	447
23	4283	447
24	4313	447
25	4343	447
26	4373	447
27	4403	447
28	4433	447
29	4463	447
30	4493	447
31	4523	447
32	4553	447
33	4583	447
34	4613	447
35	4643	447
36	4673	447
37	4703	447
38	4703	447

Stop Event

1×	node limit

Counts

25 → 26

Calls

Call 1

Inputs
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
(-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 0)
(.f64 1/2 (+.f64 x (.f64 2 (log.f64 2))))
(.f64 2 (.f64 1/2 (+.f64 (*.f64 1/2 x) (log.f64 2))))
(.f64 2 (+.f64 (.f64 1/2 (log.f64 2)) (*.f64 x 1/4)))
(.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 1)
(.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2)))
(.f64 (+.f64 x (.f64 2 (log.f64 2))) 1/2)
(.f64 4 (/.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 4))
(.f64 4 (.f64 (.f64 1/2 (+.f64 (.f64 1/2 x) (log.f64 2))) 1/2))
(.f64 4 (.f64 (/.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4) 1))
(.f64 (.f64 2 (+.f64 x (*.f64 2 (log.f64 2)))) 1/4)
(.f64 1/4 (.f64 2 (+.f64 x (*.f64 2 (log.f64 2)))))
(.f64 1/4 (+.f64 (+.f64 x x) (.f64 (log.f64 2) 4)))
(.f64 (.f64 1/2 (+.f64 (*.f64 1/2 x) (log.f64 2))) 2)
(.f64 (/.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 4) 4)
(/.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1)
(/.f64 (+.f64 x (*.f64 2 (log.f64 2))) 2)
(/.f64 (.f64 2 (+.f64 x (.f64 2 (log.f64 2)))) 4)
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 8) 8)
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 8)) 16)
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 8))) 32)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 8)))) 64)

Outputs
(log.f64 2)
(*.f64 1/2 x)
(*.f64 1/2 x)
(-.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 0)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(.f64 1/2 (+.f64 x (.f64 2 (log.f64 2))))
(.f64 2 (.f64 1/2 (+.f64 (*.f64 1/2 x) (log.f64 2))))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(.f64 2 (+.f64 (.f64 1/2 (log.f64 2)) (*.f64 x 1/4)))
(.f64 2 (+.f64 (.f64 (log.f64 2) 1/2) (*.f64 x 1/4)))
(.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 1)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(.f64 1 (+.f64 (.f64 1/2 x) (log.f64 2)))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(.f64 (+.f64 x (.f64 2 (log.f64 2))) 1/2)
(.f64 1/2 (+.f64 x (.f64 2 (log.f64 2))))
(.f64 4 (/.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 4))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(.f64 4 (.f64 (.f64 1/2 (+.f64 (.f64 1/2 x) (log.f64 2))) 1/2))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(.f64 4 (.f64 (/.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 4) 1))
(+.f64 (log.f64 2) (*.f64 1/2 x))
(.f64 (.f64 2 (+.f64 x (*.f64 2 (log.f64 2)))) 1/4)
(.f64 1/2 (+.f64 x (.f64 2 (log.f64 2))))
(.f64 1/4 (.f64 2 (+.f64 x (*.f64 2 (log.f64 2)))))
(.f64 1/2 (+.f64 x (.f64 2 (log.f64 2))))
(.f64 1/4 (+.f64 (+.f64 x x) (.f64 (log.f64 2) 4)))
(.f64 1/2 (+.f64 x (.f64 2 (log.f64 2))))
(.f64 (.f64 1/2 (+.f64 (*.f64 1/2 x) (log.f64 2))) 2)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(.f64 (/.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 4) 4)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(/.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 1)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(/.f64 (+.f64 x (*.f64 2 (log.f64 2))) 2)
(/.f64 (.f64 2 (+.f64 x (.f64 2 (log.f64 2)))) 4)
(.f64 1/2 (+.f64 x (.f64 2 (log.f64 2))))
(/.f64 (.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 8) 8)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(/.f64 (.f64 2 (.f64 (+.f64 (*.f64 1/2 x) (log.f64 2)) 8)) 16)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(/.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 8))) 32)
(+.f64 (log.f64 2) (*.f64 1/2 x))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 8))) (.f64 2 (.f64 2 (.f64 (+.f64 (.f64 1/2 x) (log.f64 2)) 8)))) 64)
(+.f64 (log.f64 2) (*.f64 1/2 x))

eval28.0ms (0.2%)

Compiler: Compiled 1302 to 1106 computations (15.1% saved)

prune15.0ms (0.1%)

Pruning

9 alts after pruning (2 fresh and 7 done)

	Pruned	Kept	Total
New	102	2	104
Fresh	0	0	0
Picked	0	1	1
Done	0	6	6
Total	102	9	111

Error

0.6b

Counts

111 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	9.4b	(-.f64 (log.f64 2) (*.f64 x y))
▶	47.3b	(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))
✓	30.1b	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	47.3b	(*.f64 (-.f64 1/2 y) x)
✓	33.5b	(*.f64 x (neg.f64 y))
▶	61.6b	(*.f64 1/2 x)
✓	30.8b	(log.f64 (+.f64 2 x))
✓	30.1b	(log.f64 (+.f64 1 (exp.f64 x)))
✓	30.4b	(log.f64 2)

Compiler

Compiled 61 to 48 computations (21.3% saved)

localize12.0ms (0.1%)

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

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.0b	(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))

Compiler

Compiled 22 to 10 computations (54.5% saved)

series2.0ms (0%)

Counts

1 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))
0.0ms	x	@	inf	(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))
0.0ms	y	@	0	(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))
0.0ms	x	@	-inf	(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))
0.0ms	y	@	inf	(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))

rewrite83.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1584×	`bool.json-1`
1584×	`bool.json-2`
1532×	`rational.json-1`
1532×	`rational.json-2`
1532×	`rational.json-3`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	102	23
2	273	19
3	582	17
4	1280	17
5	3107	17
6	6204	17

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (*.f64 x (*.f64 2 (+.f64 1/2 (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/2 (+.f64 x (*.f64 x (*.f64 y -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1/2 (neg.f64 y)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 x) (*.f64 2 (+.f64 1/2 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 x) (+.f64 1 (*.f64 y -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 x (+.f64 1/2 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 1/2 x) (+.f64 1/2 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x x) (*.f64 1/2 (+.f64 1/2 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x (*.f64 2 (+.f64 1/2 (neg.f64 y)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (/.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (*.f64 (*.f64 x 1/4) (+.f64 1/2 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 x 4) (*.f64 1/4 (+.f64 1/2 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1/2 (neg.f64 y)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 8 (*.f64 (/.f64 x 8) (+.f64 1/2 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (*.f64 x 4)) (*.f64 1/8 (+.f64 1/2 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (+.f64 1/2 (neg.f64 y))) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1/4 (*.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (*.f64 1/2 x) (+.f64 1/2 (neg.f64 y))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 1/2 (+.f64 1/2 (neg.f64 y))) (+.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (*.f64 x (*.f64 y -2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (*.f64 y -2)) (*.f64 1/2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 x (*.f64 2 (+.f64 1/2 (neg.f64 y)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 4))) (*.f64 2 (*.f64 2 (*.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f64 x (+.f64 1/2 (neg.f64 y)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f64 x (+.f64 1/2 (neg.f64 y))) (*.f64 x (+.f64 1/2 (neg.f64 y))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f64 x (+.f64 1/2 (neg.f64 y))) (*.f64 x (+.f64 1/2 (neg.f64 y))))))))

simplify1.2s (10.3%)

Algorithm

1×	egg-herbie

Rules

3884×	`rational.json-simplify-35`
3074×	`rational.json-simplify-2`
1556×	`rational.json-simplify-53`
952×	`rational.json-simplify-1`
736×	`rational.json-simplify-51`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	82	957
1	172	945
2	411	945
3	1381	945
4	2679	945
5	3664	929
6	4267	929
7	4384	929
8	4475	929
9	4557	929
10	4638	929
11	4974	929
12	5523	929
13	5874	929
14	6029	929
15	6109	929
16	6189	929
17	6269	929
18	6349	929
19	6349	929
20	6349	929
21	6522	929
22	6660	929
23	6749	929
24	6831	929
25	6911	929
26	6991	929
27	7071	929
28	7151	929
29	7231	929
30	7311	929
31	7391	929
32	7616	929
33	7696	929
34	7776	929
35	7856	929
36	7936	929

Stop Event

1×	node limit

Counts

55 → 44

Calls

Call 1

Inputs
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(.f64 -1 (.f64 (-.f64 y 1/2) x))
(.f64 -1 (.f64 (-.f64 y 1/2) x))
(.f64 -1 (.f64 (-.f64 y 1/2) x))
(.f64 -1 (.f64 (-.f64 y 1/2) x))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(.f64 -1 (.f64 y x))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(-.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 0)
(.f64 1/2 (.f64 x (*.f64 2 (+.f64 1/2 (neg.f64 y)))))
(.f64 1/2 (+.f64 x (.f64 x (*.f64 y -2))))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 (.f64 1/2 x) (*.f64 2 (+.f64 1/2 (neg.f64 y))))
(.f64 (.f64 1/2 x) (+.f64 1 (*.f64 y -2)))
(.f64 (.f64 x (+.f64 1/2 (neg.f64 y))) 1)
(.f64 1 (.f64 x (+.f64 1/2 (neg.f64 y))))
(.f64 2 (.f64 (*.f64 1/2 x) (+.f64 1/2 (neg.f64 y))))
(.f64 (+.f64 x x) (.f64 1/2 (+.f64 1/2 (neg.f64 y))))
(.f64 (.f64 x (*.f64 2 (+.f64 1/2 (neg.f64 y)))) 1/2)
(.f64 4 (/.f64 (.f64 x (+.f64 1/2 (neg.f64 y))) 4))
(.f64 4 (.f64 (*.f64 x 1/4) (+.f64 1/2 (neg.f64 y))))
(.f64 (.f64 x 4) (*.f64 1/4 (+.f64 1/2 (neg.f64 y))))
(.f64 (.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 4) 1/4)
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(.f64 8 (.f64 (/.f64 x 8) (+.f64 1/2 (neg.f64 y))))
(.f64 (.f64 2 (.f64 x 4)) (.f64 1/8 (+.f64 1/2 (neg.f64 y))))
(.f64 (.f64 2 (+.f64 1/2 (neg.f64 y))) (*.f64 1/2 x))
(.f64 1/4 (.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 4))
(.f64 (.f64 (*.f64 1/2 x) (+.f64 1/2 (neg.f64 y))) 2)
(.f64 (.f64 1/2 (+.f64 1/2 (neg.f64 y))) (+.f64 x x))
(.f64 (/.f64 (.f64 x (+.f64 1/2 (neg.f64 y))) 4) 4)
(.f64 (+.f64 x (.f64 x (*.f64 y -2))) 1/2)
(.f64 (+.f64 1 (.f64 y -2)) (*.f64 1/2 x))
(/.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 1)
(/.f64 (.f64 x (.f64 2 (+.f64 1/2 (neg.f64 y)))) 2)
(/.f64 (.f64 (.f64 x (+.f64 1/2 (neg.f64 y))) 4) 4)
(/.f64 (.f64 2 (.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 4)) 8)
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (+.f64 1/2 (neg.f64 y))) 4))) 16)
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (+.f64 1/2 (neg.f64 y))) 4))) (.f64 2 (.f64 2 (.f64 (.f64 x (+.f64 1/2 (neg.f64 y))) 4)))) 32)

Outputs
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 (+.f64 1/2 (.f64 -1 y)) x)
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 -1 (.f64 (-.f64 y 1/2) x))
(.f64 -1 (.f64 x (-.f64 y 1/2)))
(*.f64 (-.f64 y 1/2) (neg.f64 x))
(*.f64 x (neg.f64 (-.f64 y 1/2)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 (-.f64 y 1/2) x))
(.f64 -1 (.f64 x (-.f64 y 1/2)))
(*.f64 (-.f64 y 1/2) (neg.f64 x))
(*.f64 x (neg.f64 (-.f64 y 1/2)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 (-.f64 y 1/2) x))
(.f64 -1 (.f64 x (-.f64 y 1/2)))
(*.f64 (-.f64 y 1/2) (neg.f64 x))
(*.f64 x (neg.f64 (-.f64 y 1/2)))
(*.f64 x (-.f64 1/2 y))
(.f64 -1 (.f64 (-.f64 y 1/2) x))
(.f64 -1 (.f64 x (-.f64 y 1/2)))
(*.f64 (-.f64 y 1/2) (neg.f64 x))
(*.f64 x (neg.f64 (-.f64 y 1/2)))
(*.f64 x (-.f64 1/2 y))
(*.f64 1/2 x)
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 -1 (.f64 y x))
(*.f64 x (neg.f64 y))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(+.f64 (.f64 1/2 x) (.f64 -1 (*.f64 y x)))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(-.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 0)
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 1/2 (.f64 x (*.f64 2 (+.f64 1/2 (neg.f64 y)))))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 1/2 (+.f64 x (.f64 x (*.f64 y -2))))
(.f64 1/2 (+.f64 x (.f64 y (*.f64 -2 x))))
(.f64 1/2 (+.f64 x (.f64 y (*.f64 x -2))))
(.f64 (.f64 1/2 x) (+.f64 (*.f64 y -2) 1))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 (.f64 1/2 x) (*.f64 2 (+.f64 1/2 (neg.f64 y))))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 (.f64 1/2 x) (+.f64 1 (*.f64 y -2)))
(.f64 1/2 (+.f64 x (.f64 y (*.f64 -2 x))))
(.f64 1/2 (+.f64 x (.f64 y (*.f64 x -2))))
(.f64 1/2 (+.f64 x (.f64 x (*.f64 y -2))))
(.f64 (.f64 1/2 x) (+.f64 (*.f64 y -2) 1))
(.f64 (.f64 x (+.f64 1/2 (neg.f64 y))) 1)
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 1 (.f64 x (+.f64 1/2 (neg.f64 y))))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 2 (.f64 (*.f64 1/2 x) (+.f64 1/2 (neg.f64 y))))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 (+.f64 x x) (.f64 1/2 (+.f64 1/2 (neg.f64 y))))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 (.f64 x (*.f64 2 (+.f64 1/2 (neg.f64 y)))) 1/2)
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 4 (/.f64 (.f64 x (+.f64 1/2 (neg.f64 y))) 4))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 4 (.f64 (*.f64 x 1/4) (+.f64 1/2 (neg.f64 y))))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 (.f64 x 4) (*.f64 1/4 (+.f64 1/2 (neg.f64 y))))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 (.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 4) 1/4)
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(*.f64 (+.f64 1/2 (neg.f64 y)) x)
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 8 (.f64 (/.f64 x 8) (+.f64 1/2 (neg.f64 y))))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 (.f64 2 (.f64 x 4)) (.f64 1/8 (+.f64 1/2 (neg.f64 y))))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 (.f64 2 (+.f64 1/2 (neg.f64 y))) (*.f64 1/2 x))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 1/4 (.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 4))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 (.f64 (*.f64 1/2 x) (+.f64 1/2 (neg.f64 y))) 2)
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 (.f64 1/2 (+.f64 1/2 (neg.f64 y))) (+.f64 x x))
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 (/.f64 (.f64 x (+.f64 1/2 (neg.f64 y))) 4) 4)
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(.f64 (+.f64 x (.f64 x (*.f64 y -2))) 1/2)
(.f64 1/2 (+.f64 x (.f64 y (*.f64 -2 x))))
(.f64 1/2 (+.f64 x (.f64 y (*.f64 x -2))))
(.f64 1/2 (+.f64 x (.f64 x (*.f64 y -2))))
(.f64 (.f64 1/2 x) (+.f64 (*.f64 y -2) 1))
(.f64 (+.f64 1 (.f64 y -2)) (*.f64 1/2 x))
(.f64 1/2 (+.f64 x (.f64 y (*.f64 -2 x))))
(.f64 1/2 (+.f64 x (.f64 y (*.f64 x -2))))
(.f64 1/2 (+.f64 x (.f64 x (*.f64 y -2))))
(.f64 (.f64 1/2 x) (+.f64 (*.f64 y -2) 1))
(/.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 1)
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(/.f64 (.f64 x (.f64 2 (+.f64 1/2 (neg.f64 y)))) 2)
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(/.f64 (.f64 (.f64 x (+.f64 1/2 (neg.f64 y))) 4) 4)
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(/.f64 (.f64 2 (.f64 (*.f64 x (+.f64 1/2 (neg.f64 y))) 4)) 8)
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(/.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (+.f64 1/2 (neg.f64 y))) 4))) 16)
(*.f64 x (+.f64 1/2 (neg.f64 y)))
(/.f64 (+.f64 (.f64 2 (.f64 2 (.f64 (.f64 x (+.f64 1/2 (neg.f64 y))) 4))) (.f64 2 (.f64 2 (.f64 (.f64 x (+.f64 1/2 (neg.f64 y))) 4)))) 32)
(*.f64 x (+.f64 1/2 (neg.f64 y)))

eval9.0ms (0.1%)

Compiler: Compiled 403 to 277 computations (31.3% saved)

prune9.0ms (0.1%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	44	9	53

Error

0.6b

Counts

53 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	9.4b	(-.f64 (log.f64 2) (*.f64 x y))
✓	47.3b	(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))
✓	30.1b	(+.f64 (*.f64 1/2 x) (log.f64 2))
✓	47.3b	(*.f64 (-.f64 1/2 y) x)
✓	33.5b	(*.f64 x (neg.f64 y))
✓	61.6b	(*.f64 1/2 x)
✓	30.8b	(log.f64 (+.f64 2 x))
✓	30.1b	(log.f64 (+.f64 1 (exp.f64 x)))
✓	30.4b	(log.f64 2)

Compiler

Compiled 61 to 48 computations (21.3% saved)

regimes23.0ms (0.2%)

Counts

11 → 1

Calls

Call 1

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

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Calls

3 calls:

7.0ms	x
7.0ms	y
5.0ms	(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))

Results

Error	Segments	Branch
0.8b	1	`x`
0.8b	1	`y`
0.8b	1	`(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))`

Compiler

Compiled 79 to 54 computations (31.6% saved)

regimes39.0ms (0.3%)

Counts

10 → 2

Calls

Call 1

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

Outputs
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 (-.f64 1/2 y) x) (log.f64 2))

Calls

2 calls:

23.0ms	y
13.0ms	x

Results

Error	Segments	Branch
0.8b	2	`x`
7.5b	3	`y`

Compiler

Compiled 59 to 42 computations (28.8% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	-129.98806039069166	-2.030566851863427e-5

Results

18.0ms

144×

body

256

valid

Compiler

Compiled 178 to 138 computations (22.5% saved)

regimes35.0ms (0.3%)

Counts

8 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))
(log.f64 2)
(log.f64 (+.f64 2 x))
(+.f64 (*.f64 1/2 x) (log.f64 2))
(-.f64 (log.f64 2) (*.f64 x y))

Outputs
(*.f64 x (neg.f64 y))
(-.f64 (log.f64 2) (*.f64 x y))

Calls

2 calls:

21.0ms	y
11.0ms	x

Results

Error	Segments	Branch
1.1b	2	`x`
7.5b	3	`y`

Compiler

Compiled 46 to 32 computations (30.4% saved)

bsearch27.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
27.0ms	-7104.552811092385	-129.98806039069166

Results

11.0ms	37×	body	512	valid
10.0ms	67×	body	256	valid
4.0ms	8×	body	1024	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 128 to 96 computations (25% saved)

regimes69.0ms (0.6%)

Counts

7 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))
(log.f64 2)
(log.f64 (+.f64 2 x))
(+.f64 (*.f64 1/2 x) (log.f64 2))

Outputs
(*.f64 x (neg.f64 y))
(+.f64 (*.f64 1/2 x) (log.f64 2))

Calls

2 calls:

51.0ms	y
16.0ms	x

Results

Error	Segments	Branch
12.5b	2	`x`
16.6b	9	`y`

Compiler

Compiled 40 to 28 computations (30% saved)

bsearch20.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
20.0ms	-129.98806039069166	-2.030566851863427e-5

Results

18.0ms

144×

body

256

valid

Compiler

Compiled 160 to 129 computations (19.4% saved)

regimes61.0ms (0.5%)

Counts

6 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))
(log.f64 2)
(log.f64 (+.f64 2 x))

Outputs
(*.f64 x (neg.f64 y))
(log.f64 (+.f64 2 x))

Calls

2 calls:

45.0ms	y
14.0ms	x

Results

Error	Segments	Branch
12.6b	2	`x`
16.8b	9	`y`

Compiler

Compiled 34 to 23 computations (32.4% saved)

bsearch21.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
21.0ms	-129.98806039069166	-2.030566851863427e-5

Results

18.0ms

144×

body

256

valid

Compiler

Compiled 142 to 111 computations (21.8% saved)

regimes73.0ms (0.6%)

Counts

5 → 2

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))
(log.f64 2)

Outputs
(*.f64 x (neg.f64 y))
(log.f64 2)

Calls

2 calls:

57.0ms	y
14.0ms	x

Results

Error	Segments	Branch
12.8b	2	`x`
16.8b	9	`y`

Compiler

Compiled 30 to 20 computations (33.3% saved)

bsearch25.0ms (0.2%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
25.0ms	-7104.552811092385	-129.98806039069166

Results

10.0ms	36×	body	512	valid
9.0ms	67×	body	256	valid
4.0ms	9×	body	1024	valid
0.0ms	1×	body	256	infinite

Compiler

Compiled 100 to 82 computations (18% saved)

regimes10.0ms (0.1%)

Accuracy

Total -28.5b remaining (-85.2%)

Threshold costs -28.5b (-85.2%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f64 1/2 x)
(*.f64 x (neg.f64 y))
(*.f64 (-.f64 1/2 y) x)
(+.f64 (.f64 1/2 x) (.f64 y (neg.f64 x)))

Outputs
(*.f64 x (neg.f64 y))

Calls

2 calls:

5.0ms	y
4.0ms	x

Results

Error	Segments	Branch
33.5b	1	`x`
33.5b	1	`y`

Compiler

Compiled 28 to 18 computations (35.7% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	218

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -130) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -5764607523034235/288230376151711744) (.f64 x (neg.f64 y)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -760928193040519/4611686018427387904) (*.f64 x (neg.f64 y)) (log.f64 (+.f64 2 x)))
(if (<=.f64 x -130) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)

Outputs
(-.f64 (log.f64 (+.f64 1 (exp.f64 x))) (*.f64 x y))
(if (<=.f64 x -3152519739159347/2251799813685248) (.f64 x (neg.f64 y)) (+.f64 (.f64 (-.f64 1/2 y) x) (log.f64 2)))
(if (<=.f64 x -130) (.f64 x (neg.f64 y)) (-.f64 (log.f64 2) (.f64 x y)))
(if (<=.f64 x -5764607523034235/288230376151711744) (.f64 x (neg.f64 y)) (+.f64 (.f64 1/2 x) (log.f64 2)))
(if (<=.f64 x -760928193040519/4611686018427387904) (*.f64 x (neg.f64 y)) (log.f64 (+.f64 2 x)))
(if (<=.f64 x -130) (*.f64 x (neg.f64 y)) (log.f64 2))
(*.f64 x (neg.f64 y))
(*.f64 1/2 x)

Compiler

Compiled 98 to 71 computations (27.6% saved)

soundness0.0ms (0%)

end51.0ms (0.4%)

Compiler: Compiled 84 to 46 computations (45.2% saved)

Details

analyze260.0ms (2.2%)

sample6.5s (54.3%)

preprocess3.0ms (0%)

simplify9.0ms (0.1%)

eval0.0ms (0%)

prune1.0ms (0%)

localize12.0ms (0.1%)

series90.0ms (0.7%)

rewrite91.0ms (0.8%)

simplify196.0ms (1.6%)

eval27.0ms (0.2%)

prune15.0ms (0.1%)

localize8.0ms (0.1%)

localize4.0ms (0%)

localize13.0ms (0.1%)

series6.0ms (0%)

rewrite86.0ms (0.7%)

simplify552.0ms (4.6%)

localize10.0ms (0.1%)

series1.0ms (0%)

rewrite109.0ms (0.9%)

simplify518.0ms (4.3%)

eval36.0ms (0.3%)

prune22.0ms (0.2%)

localize4.0ms (0%)

localize6.0ms (0%)

series1.0ms (0%)

rewrite94.0ms (0.8%)

simplify582.0ms (4.8%)

localize5.0ms (0%)

localize9.0ms (0.1%)

series0.0ms (0%)

rewrite103.0ms (0.9%)

simplify751.0ms (6.2%)

eval28.0ms (0.2%)

prune15.0ms (0.1%)

localize12.0ms (0.1%)

localize8.0ms (0.1%)

series2.0ms (0%)

rewrite83.0ms (0.7%)

simplify1.2s (10.3%)

eval9.0ms (0.1%)

prune9.0ms (0.1%)

regimes23.0ms (0.2%)

regimes39.0ms (0.3%)

bsearch20.0ms (0.2%)

regimes35.0ms (0.3%)

bsearch27.0ms (0.2%)

regimes69.0ms (0.6%)

bsearch20.0ms (0.2%)

regimes61.0ms (0.5%)

bsearch21.0ms (0.2%)

regimes73.0ms (0.6%)

bsearch25.0ms (0.2%)

regimes10.0ms (0.1%)

simplify6.0ms (0%)

soundness0.0ms (0%)

end51.0ms (0.4%)

Profiling