Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

Probability	Valid	Unknown	Precondition	Infinite	Domain	Can't	Iter
0%	0%	99.6%	0.4%	0%	0%	0%	0
0%	0%	99.6%	0.4%	0%	0%	0%	1
0%	0%	99.6%	0.4%	0%	0%	0%	2
0%	0%	49.8%	0.4%	0%	49.8%	0%	3
50%	24.9%	24.9%	0.4%	0%	49.8%	0%	4
75%	37.4%	12.5%	0.4%	0%	49.8%	0%	5
87.5%	43.6%	6.2%	0.4%	0%	49.8%	0%	6
93.8%	46.7%	3.1%	0.4%	0%	49.8%	0%	7
96.9%	48.2%	1.6%	0.4%	0%	49.8%	0%	8
98.4%	49%	0.8%	0.4%	0%	49.8%	0%	9
99.2%	49.4%	0.4%	0.4%	0%	49.8%	0%	10
99.6%	49.4%	0.2%	0.4%	0%	50%	0%	11
99.8%	49.5%	0.1%	0.4%	0%	50%	0%	12

Compiler

Compiled 4 to 3 computations (25% saved)

sample1.7s (13%)

Results

1.7s

8256×

body

256

valid

Bogosity

preprocess11.0ms (0.1%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4	5
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(atanh.f32 x)

Outputs
(atanh.f32 x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify156.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1496×	`rational.json-simplify-35`
1380×	`rational.json-simplify-2`
1344×	`rational.json-simplify-55`
868×	`rational.json-simplify-51`
820×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	22	29
2	48	29
3	97	29
4	220	29
5	571	29
6	2154	29
7	3803	29
8	5517	29
9	6649	29
10	7552	29

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

Inputs
(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))

Outputs
(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
(.f32 1/2 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))
(.f32 1/2 (log1p.f32 (.f32 -2 (/.f32 x (+.f32 x -1)))))

eval1.0ms (0%)

Compiler: Compiled 31 to 25 computations (19.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

4 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.1b	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))

Compiler

Compiled 11 to 9 computations (18.2% saved)

localize151.0ms (1.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))
✓	0.0b	(/.f32 (*.f32 2 x) (-.f32 1 x))

Compiler

Compiled 36 to 27 computations (25% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	0	(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))
0.0ms	x	@	-inf	(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))
0.0ms	x	@	inf	(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))
0.0ms	x	@	0	(/.f32 (*.f32 2 x) (-.f32 1 x))
0.0ms	x	@	inf	(/.f32 (*.f32 2 x) (-.f32 1 x))

rewrite111.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1916×	`rational.json-1`
1916×	`rational.json-2`
1528×	`rational.json-simplify-35`
918×	`rational.json-simplify-2`
916×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	79	42
2	213	42
3	529	42
4	1522	42
5	3450	42
6	7120	42

Stop Event

1×	node limit

Counts

2 → 79

Calls

Call 1

Inputs
(/.f32 (*.f32 2 x) (-.f32 1 x))
(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 2 (+.f32 -1 (/.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (/.f32 2 (+.f32 1 (/.f32 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 x (-.f32 1 x)) (/.f32 x (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (/.f32 2 (+.f32 1 (/.f32 -1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 2 (+.f32 1 (/.f32 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 2 (-.f32 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 x (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (.f32 1/2 (/.f32 2 (-.f32 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (.f32 (/.f32 1 (-.f32 1 x)) 1/2) (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (/.f32 1 (.f32 (-.f32 1 x) 4)) (.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (/.f32 2 (.f32 (+.f32 x -1) 4)) (.f32 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 x (/.f32 2 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 x (.f32 4 (/.f32 1/2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 x x) (/.f32 1 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 x x) (.f32 1/2 (/.f32 2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 2 (+.f32 -1 (/.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 x 4) (/.f32 1/2 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 x 4) (.f32 (/.f32 1 (-.f32 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 x -2) (/.f32 1 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 x -2) (.f32 -2 (/.f32 1/2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 2 (+.f32 1 (/.f32 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 (.f32 x 1/2) (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 (/.f32 4 (-.f32 1 x)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 x 8) (/.f32 1 (.f32 (-.f32 1 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 x 8) (.f32 (/.f32 1 (-.f32 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 x 8) (.f32 1/2 (/.f32 1/2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 x (-.f32 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (-.f32 1 x)) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -2 (/.f32 x (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -2 (.f32 (.f32 x -2) (/.f32 1/2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 8 (.f32 (/.f32 1 (-.f32 1 x)) (/.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 8 (.f32 (.f32 x 1/2) (/.f32 1/2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (.f32 x 8)) (.f32 1/4 (/.f32 1/2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (/.f32 2 (-.f32 1 x))) (.f32 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -4 (.f32 (neg.f32 x) (/.f32 1/2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (+.f32 1 (/.f32 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (-.f32 (/.f32 4 (-.f32 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 x) (/.f32 2 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 x 1/2) (-.f32 1 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1/2 (-.f32 1 x)) (.f32 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (+.f32 x -1)) (.f32 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 x 1/2) (.f32 2 (/.f32 2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 x 1/2) (/.f32 4 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 x -4) (/.f32 2 (.f32 (+.f32 x -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 x -4) (.f32 -1 (/.f32 1/2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (-.f32 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 1 (-.f32 1 x)) 1/2) (.f32 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 1/2 (/.f32 2 (-.f32 1 x))) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 4 (-.f32 1 x)) (.f32 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (+.f32 x -1)) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 x (+.f32 x -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 (-.f32 1 x) 4)) (.f32 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (.f32 (+.f32 x -1) 4)) (.f32 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (/.f32 1 (+.f32 x -1))) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 1 (-.f32 1 x)) 1/4) (.f32 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 1 (-.f32 1 x)) (/.f32 x 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 (/.f32 x 4) (/.f32 x 4)) (*.f32 4 (/.f32 1 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 2 (+.f32 1 (/.f32 -1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 2) (/.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 2 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 4))) (.f32 2 (.f32 2 (*.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 1)))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 2 (+.f32 -1 (/.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (/.f32 2 (+.f32 1 (/.f32 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 x (-.f32 1 x)) (/.f32 x (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 1 (/.f32 2 (+.f32 1 (/.f32 -1 x)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 2 (+.f32 1 (/.f32 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 2 (-.f32 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 x (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (*.f32 1/2 (/.f32 2 (-.f32 1 x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (*.f32 (/.f32 1 (-.f32 1 x)) 1/2) (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 1 (*.f32 (-.f32 1 x) 4)) (*.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 2 (*.f32 (+.f32 x -1) 4)) (*.f32 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x (/.f32 2 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x (*.f32 4 (/.f32 1/2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) (/.f32 1 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) (*.f32 1/2 (/.f32 2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 2 (+.f32 -1 (/.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x 4) (/.f32 1/2 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x 4) (*.f32 (/.f32 1 (-.f32 1 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x -2) (/.f32 1 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x -2) (*.f32 -2 (/.f32 1/2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 2 (+.f32 1 (/.f32 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (*.f32 x 1/2) (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (/.f32 4 (-.f32 1 x)) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x 8) (/.f32 1 (*.f32 (-.f32 1 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x 8) (*.f32 (/.f32 1 (-.f32 1 x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x 8) (*.f32 1/2 (/.f32 1/2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 x (-.f32 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 1 x)) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (/.f32 x (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (*.f32 (*.f32 x -2) (/.f32 1/2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (*.f32 (/.f32 1 (-.f32 1 x)) (/.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (*.f32 (*.f32 x 1/2) (/.f32 1/2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 x 8)) (*.f32 1/4 (/.f32 1/2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 2 (-.f32 1 x))) (*.f32 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -4 (*.f32 (neg.f32 x) (/.f32 1/2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (+.f32 1 (/.f32 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (-.f32 (/.f32 4 (-.f32 1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 x) (/.f32 2 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 x 1/2) (-.f32 1 x)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (-.f32 1 x)) (*.f32 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 x -1)) (*.f32 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x 1/2) (*.f32 2 (/.f32 2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x 1/2) (/.f32 4 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x -4) (/.f32 2 (*.f32 (+.f32 x -1) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x -4) (*.f32 -1 (/.f32 1/2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (-.f32 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (-.f32 1 x)) 1/2) (*.f32 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (/.f32 2 (-.f32 1 x))) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 4 (-.f32 1 x)) (*.f32 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (+.f32 x -1)) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 x (+.f32 x -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (-.f32 1 x) 4)) (*.f32 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (*.f32 (+.f32 x -1) 4)) (*.f32 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 1 (+.f32 x -1))) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (-.f32 1 x)) 1/4) (*.f32 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (-.f32 1 x)) (/.f32 x 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 x 4) (/.f32 x 4)) (*.f32 4 (/.f32 1 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 2 (+.f32 1 (/.f32 -1 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 2) (/.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 2 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 4))) (*.f32 2 (*.f32 2 (*.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 1)))))

simplify133.0ms (1%)

Algorithm

1×	egg-herbie

Rules

1446×	`rational.json-simplify-52`
1090×	`rational.json-simplify-1`
1050×	`rational.json-simplify-53`
1008×	`rational.json-simplify-35`
956×	`rational.json-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	205	3053
1	451	2435
2	933	2411
3	1823	2405
4	3573	2387
5	5159	2387
6	6704	2387

Stop Event

1×	node limit

Counts

103 → 142

Calls

Call 1

Inputs
(*.f32 2 x)
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (.f32 2/7 (pow.f32 x 7)) (+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))) 0)
(+.f32 0 (/.f32 2 (+.f32 -1 (/.f32 1 x))))
(+.f32 -1 (-.f32 1 (/.f32 2 (+.f32 1 (/.f32 -1 x)))))
(+.f32 (/.f32 x (-.f32 1 x)) (/.f32 x (-.f32 1 x)))
(+.f32 (-.f32 1 (/.f32 2 (+.f32 1 (/.f32 -1 x)))) -1)
(-.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))) 0)
(-.f32 0 (/.f32 2 (+.f32 1 (/.f32 -1 x))))
(-.f32 (/.f32 2 (-.f32 1 x)) 2)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(.f32 2 (.f32 (*.f32 1/2 (/.f32 2 (-.f32 1 x))) x))
(.f32 2 (.f32 (*.f32 (/.f32 1 (-.f32 1 x)) 1/2) (+.f32 x x)))
(.f32 2 (.f32 (/.f32 1 (.f32 (-.f32 1 x) 4)) (.f32 x 4)))
(.f32 2 (.f32 (/.f32 2 (.f32 (+.f32 x -1) 4)) (.f32 x -2)))
(*.f32 x (/.f32 2 (-.f32 1 x)))
(.f32 x (.f32 4 (/.f32 1/2 (-.f32 1 x))))
(*.f32 (+.f32 x x) (/.f32 1 (-.f32 1 x)))
(.f32 (+.f32 x x) (.f32 1/2 (/.f32 2 (-.f32 1 x))))
(*.f32 1 (/.f32 2 (+.f32 -1 (/.f32 1 x))))
(*.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))) 1)
(.f32 (.f32 x 4) (/.f32 1/2 (-.f32 1 x)))
(.f32 (.f32 x 4) (*.f32 (/.f32 1 (-.f32 1 x)) 1/2))
(.f32 (.f32 x -2) (/.f32 1 (+.f32 x -1)))
(.f32 (.f32 x -2) (*.f32 -2 (/.f32 1/2 (-.f32 1 x))))
(*.f32 -1 (/.f32 2 (+.f32 1 (/.f32 -1 x))))
(.f32 4 (/.f32 (.f32 x 1/2) (-.f32 1 x)))
(*.f32 (-.f32 (/.f32 4 (-.f32 1 x)) 4) 1/2)
(.f32 (.f32 x 8) (/.f32 1 (*.f32 (-.f32 1 x) 4)))
(.f32 (.f32 x 8) (*.f32 (/.f32 1 (-.f32 1 x)) 1/4))
(.f32 (.f32 x 8) (*.f32 1/2 (/.f32 1/2 (-.f32 1 x))))
(*.f32 (/.f32 x (-.f32 1 x)) 2)
(*.f32 (/.f32 1 (-.f32 1 x)) (+.f32 x x))
(*.f32 -2 (/.f32 x (+.f32 x -1)))
(.f32 -2 (.f32 (*.f32 x -2) (/.f32 1/2 (-.f32 1 x))))
(.f32 8 (.f32 (/.f32 1 (-.f32 1 x)) (/.f32 x 4)))
(.f32 8 (.f32 (*.f32 x 1/2) (/.f32 1/2 (-.f32 1 x))))
(.f32 (.f32 2 (.f32 x 8)) (.f32 1/4 (/.f32 1/2 (-.f32 1 x))))
(.f32 (.f32 2 (/.f32 2 (-.f32 1 x))) (*.f32 x 1/2))
(.f32 -4 (.f32 (neg.f32 x) (/.f32 1/2 (-.f32 1 x))))
(*.f32 (/.f32 2 (+.f32 1 (/.f32 -1 x))) -1)
(*.f32 1/2 (-.f32 (/.f32 4 (-.f32 1 x)) 4))
(*.f32 (neg.f32 x) (/.f32 2 (+.f32 x -1)))
(.f32 (/.f32 (.f32 x 1/2) (-.f32 1 x)) 4)
(.f32 (/.f32 1/2 (-.f32 1 x)) (.f32 x 4))
(.f32 (/.f32 1 (+.f32 x -1)) (.f32 x -2))
(.f32 (.f32 x 1/2) (*.f32 2 (/.f32 2 (-.f32 1 x))))
(.f32 (.f32 x 1/2) (/.f32 4 (-.f32 1 x)))
(.f32 (.f32 x -4) (/.f32 2 (*.f32 (+.f32 x -1) 4)))
(.f32 (.f32 x -4) (*.f32 -1 (/.f32 1/2 (-.f32 1 x))))
(*.f32 (/.f32 2 (-.f32 1 x)) x)
(.f32 (.f32 (/.f32 1 (-.f32 1 x)) 1/2) (*.f32 x 4))
(.f32 (.f32 1/2 (/.f32 2 (-.f32 1 x))) (+.f32 x x))
(.f32 (/.f32 4 (-.f32 1 x)) (.f32 x 1/2))
(*.f32 (/.f32 2 (+.f32 x -1)) (neg.f32 x))
(*.f32 (/.f32 x (+.f32 x -1)) -2)
(.f32 (/.f32 1 (.f32 (-.f32 1 x) 4)) (*.f32 x 8))
(.f32 (/.f32 2 (.f32 (+.f32 x -1) 4)) (*.f32 x -4))
(.f32 (.f32 2 (/.f32 1 (+.f32 x -1))) (neg.f32 x))
(.f32 (.f32 (/.f32 1 (-.f32 1 x)) 1/4) (*.f32 x 8))
(.f32 (.f32 (/.f32 1 (-.f32 1 x)) (/.f32 x 4)) 8)
(.f32 (+.f32 (/.f32 x 4) (/.f32 x 4)) (.f32 4 (/.f32 1 (-.f32 1 x))))
(pow.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))) 1)
(neg.f32 (/.f32 2 (+.f32 1 (/.f32 -1 x))))
(+.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 0)
(+.f32 0 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))))
(+.f32 (/.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 2) (/.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 2))
(-.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 0)
(*.f32 2 (/.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 2))
(*.f32 1 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))))
(*.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 1)
(.f32 (.f32 2 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))))) 1/2)
(.f32 1/2 (.f32 2 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))))))
(*.f32 (/.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 2) 2)
(/.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 1)
(/.f32 (*.f32 2 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))))) 2)
(/.f32 (*.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 4) 4)
(/.f32 (.f32 2 (.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 4)) 8)
(/.f32 (.f32 2 (.f32 2 (*.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 4))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 4))) (.f32 2 (.f32 2 (.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 4)))) 32)
(pow.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 1)

Outputs
(*.f32 2 x)
(+.f32 x x)
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 (pow.f32 x 2) x))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 x) (*.f32 2 (pow.f32 x 3))))
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 (+.f32 x (pow.f32 x 3))))
(*.f32 2 (+.f32 (pow.f32 x 3) (+.f32 x (pow.f32 x 2))))
(*.f32 2 (+.f32 (pow.f32 x 2) (+.f32 x (pow.f32 x 3))))
(*.f32 2 (+.f32 x (+.f32 (pow.f32 x 2) (pow.f32 x 3))))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 4)))))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 x) (+.f32 (.f32 2 (pow.f32 x 4)) (.f32 2 (pow.f32 x 3)))))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (*.f32 2 (+.f32 (pow.f32 x 4) x))))
(+.f32 (.f32 2 x) (.f32 2 (+.f32 (pow.f32 x 2) (+.f32 (pow.f32 x 3) (pow.f32 x 4)))))
(*.f32 2 (+.f32 (pow.f32 x 2) (+.f32 (pow.f32 x 3) (+.f32 x (pow.f32 x 4)))))
(*.f32 2 (+.f32 (pow.f32 x 3) (+.f32 (pow.f32 x 2) (+.f32 x (pow.f32 x 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 (pow.f32 x 2)) (/.f32 1 x)))))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 x) (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (+.f32 (/.f32 1 (pow.f32 x 2)) (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 x) (+.f32 (/.f32 1 (pow.f32 x 2)) (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 (pow.f32 x 3)) (+.f32 (/.f32 1 x) (/.f32 1 (pow.f32 x 2)))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 (pow.f32 x 2)) (/.f32 1 x)))))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 x) (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (+.f32 (/.f32 1 (pow.f32 x 2)) (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 x) (+.f32 (/.f32 1 (pow.f32 x 2)) (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 (pow.f32 x 3)) (+.f32 (/.f32 1 x) (/.f32 1 (pow.f32 x 2)))))))
(*.f32 2 x)
(+.f32 x x)
(+.f32 (.f32 2 x) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2 x) (.f32 (pow.f32 x 3) 2/3))
(+.f32 (*.f32 (pow.f32 x 3) 2/3) (+.f32 x x))
(+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 (.f32 2/5 (pow.f32 x 5)) (*.f32 2 x)))
(+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 (.f32 2 x) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 (.f32 2/5 (pow.f32 x 5)) (+.f32 x x)))
(+.f32 (.f32 2/7 (pow.f32 x 7)) (+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))))
(+.f32 (+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2 x))) (.f32 2/7 (pow.f32 x 7)))
(+.f32 (+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 (.f32 2 x) (.f32 2/5 (pow.f32 x 5)))) (.f32 2/7 (pow.f32 x 7)))
(+.f32 (.f32 2 x) (+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/7 (pow.f32 x 7)))))
(+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 (.f32 2/5 (pow.f32 x 5)) (+.f32 (*.f32 2/7 (pow.f32 x 7)) (+.f32 x x))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (*.f32 2 (/.f32 1 x)) (log.f32 -1))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (+.f32 (.f32 2 (/.f32 1 x)) (log.f32 -1)) (.f32 (/.f32 1 (pow.f32 x 3)) 2/3))
(+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 (/.f32 1 (pow.f32 x 3)) 2/3) (log.f32 -1)))
(+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (log.f32 -1) (.f32 (/.f32 1 (pow.f32 x 3)) 2/3)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
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(+.f32 (/.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 2) (/.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 2))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(-.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 0)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(*.f32 2 (/.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 2))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(*.f32 1 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(*.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 1)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(.f32 (.f32 2 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))))) 1/2)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(.f32 1/2 (.f32 2 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))))))
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(*.f32 (/.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 2) 2)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(/.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 1)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(/.f32 (*.f32 2 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x))))) 2)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(/.f32 (*.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 4) 4)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(/.f32 (.f32 2 (.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 4)) 8)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(/.f32 (.f32 2 (.f32 2 (*.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 4))) 16)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 4))) (.f32 2 (.f32 2 (.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 4)))) 32)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))
(pow.f32 (log1p.f32 (/.f32 2 (+.f32 -1 (/.f32 1 x)))) 1)
(log1p.f32 (/.f32 2 (+.f32 (/.f32 1 x) -1)))
(log1p.f32 (/.f32 -2 (-.f32 1 (/.f32 1 x))))

eval55.0ms (0.4%)

Compiler: Compiled 2076 to 1774 computations (14.5% saved)

prune79.0ms (0.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	136	6	142
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	136	7	143

Error

Counts

143 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(.f32 1/2 (+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 x x)))
	0.2b	(.f32 1/2 (+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))))
✓	0.1b	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
▶	0.2b	(*.f32 1/2 (log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x)))))
▶	1.6b	(*.f32 1/2 (log1p.f32 (+.f32 x x)))
▶	0.1b	(.f32 1/2 (log1p.f32 (.f32 (/.f32 2 (-.f32 1 x)) x)))
▶	32.0b	(*.f32 1/2 (log1p.f32 -2))

Compiler

Compiled 139 to 115 computations (17.3% saved)

localize74.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))
✓	0.0b	(*.f32 (/.f32 2 (-.f32 1 x)) x)
✓	0.1b	(/.f32 2 (-.f32 1 x))

Compiler

Compiled 38 to 29 computations (23.7% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	-inf	(log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))
0.0ms	x	@	0	(/.f32 2 (-.f32 1 x))
0.0ms	x	@	inf	(/.f32 2 (-.f32 1 x))
0.0ms	x	@	-inf	(/.f32 2 (-.f32 1 x))
0.0ms	x	@	-inf	(*.f32 (/.f32 2 (-.f32 1 x)) x)

rewrite85.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1172×	`rational.json-1`
1172×	`rational.json-2`
1172×	`rational.json-3`
1164×	`rational.json-4`
1148×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	79	55
2	187	55
3	380	55
4	775	55
5	2243	55
6	5239	55

Stop Event

1×	node limit

Counts

3 → 137

Calls

Call 1

Inputs
(/.f32 2 (-.f32 1 x))
(*.f32 (/.f32 2 (-.f32 1 x)) x)
(log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 2 (-.f32 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 2 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (.f32 2 (/.f32 1 (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (/.f32 2 (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -1 (+.f32 x -1)) (/.f32 -1 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 2 (-.f32 1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (.f32 2 (/.f32 1 (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 2 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 -1 (+.f32 x -1)) (/.f32 1 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 -1 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (/.f32 2 (.f32 (-.f32 1 x) (-.f32 1 x))) (.f32 (-.f32 1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (/.f32 1 (.f32 (-.f32 1 x) (-.f32 1 x))) (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (/.f32 4 (.f32 (-.f32 1 x) (-.f32 1 x))) (.f32 (-.f32 1 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 2 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 x) (/.f32 2 (.f32 (-.f32 1 x) (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (-.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 1 (.f32 2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (-.f32 1 x)) (/.f32 1 (.f32 (-.f32 1 x) (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (.f32 2 (/.f32 1 (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 4 (-.f32 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (-.f32 1 x) 1/2) (/.f32 4 (.f32 (-.f32 1 x) (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (/.f32 4 (-.f32 1 x))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (/.f32 4 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -1 (+.f32 x -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (.f32 2 (/.f32 4 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (/.f32 (.f32 (-.f32 1 x) 8) (.f32 (-.f32 1 x) (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (-.f32 1 x) 1/4) (/.f32 2 (.f32 (-.f32 1 x) (.f32 (-.f32 1 x) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 (-.f32 1 x) 8) (.f32 (-.f32 1 x) (-.f32 1 x))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (/.f32 1 (+.f32 x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 2 (-.f32 1 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (+.f32 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (.f32 (-.f32 1 x) (.f32 (-.f32 1 x) 1/4))) (.f32 (-.f32 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 4 (.f32 (-.f32 1 x) (-.f32 1 x))) (.f32 (-.f32 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (.f32 (-.f32 1 x) (-.f32 1 x))) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 (-.f32 1 x) (-.f32 1 x))) (.f32 2 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 2 (-.f32 1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 2 (/.f32 1 (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 2 (+.f32 x -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 2 (-.f32 1 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 2 (/.f32 x (-.f32 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 2 (/.f32 x (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -2 (/.f32 2 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (/.f32 (+.f32 x x) (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -1 (+.f32 x -1)) (-.f32 (/.f32 -1 (+.f32 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 x (-.f32 1 x)) (/.f32 x (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -3 (-.f32 1 (.f32 2 (/.f32 1 (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -3 (-.f32 1 (/.f32 2 (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 2 (-.f32 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (.f32 2 (/.f32 x (-.f32 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 (+.f32 x x) (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 x (-.f32 1 x)) (/.f32 x (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 2 (+.f32 -1 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (-.f32 (/.f32 1/2 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (-.f32 0 (/.f32 (+.f32 x -1) (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 x (.f32 (-.f32 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 x (/.f32 (.f32 (-.f32 1 x) (.f32 (-.f32 1 x) 1/2)) (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 x (/.f32 (neg.f32 (.f32 4 (+.f32 x -1))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (/.f32 x (-.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (-.f32 (/.f32 2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (-.f32 0 (/.f32 (+.f32 x -1) (.f32 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -2 (+.f32 1 (/.f32 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -2 (.f32 2 (/.f32 (+.f32 x -1) (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -2 (-.f32 1 (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (/.f32 (+.f32 x -1) (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -1 (-.f32 1/2 (/.f32 1/2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 x 4) (-.f32 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 x x) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 8 (.f32 2 (-.f32 (/.f32 2 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 8 (/.f32 (.f32 (-.f32 1 x) 4) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -4 (/.f32 (+.f32 x -1) (.f32 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -4 (.f32 2 (+.f32 1 (/.f32 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -4 (-.f32 2 (/.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 8 (/.f32 x (-.f32 1 x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 x 4) (.f32 2 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 16 (.f32 2 (.f32 2 (-.f32 (/.f32 2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 16 (.f32 2 (/.f32 (.f32 (-.f32 1 x) 4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -8 (.f32 2 (/.f32 (+.f32 x -1) (.f32 x 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -8 (-.f32 0 (.f32 2 (-.f32 (/.f32 2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -8 (-.f32 0 (/.f32 (.f32 (-.f32 1 x) 4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 16 (/.f32 x (-.f32 1 x))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 x 8) (.f32 (-.f32 1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 x (-.f32 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 x 1/2) (.f32 (-.f32 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 x 1/2) (/.f32 (.f32 (-.f32 1 x) (.f32 (-.f32 1 x) 1/4)) (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 x) (neg.f32 (.f32 (-.f32 1 x) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 x) (-.f32 0 (/.f32 (.f32 (-.f32 1 x) (.f32 (-.f32 1 x) 1/2)) (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (/.f32 2 x) 2) (.f32 (+.f32 -1 (/.f32 1 x)) (+.f32 -1 (/.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 16 (/.f32 x (-.f32 1 x)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (neg.f32 x) x) (.f32 2 (neg.f32 (.f32 (-.f32 1 x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 x 8)) (.f32 (-.f32 1 x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 x 4) (.f32 (-.f32 1 x) 1/4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 x (.f32 2 (-.f32 1 x))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 x (+.f32 x -1)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (+.f32 x x) (+.f32 x -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 x x)) (+.f32 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (.f32 x 4)) (+.f32 x (+.f32 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 16 (/.f32 x (-.f32 1 x))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (-.f32 (neg.f32 x) x)) (.f32 2 (.f32 2 (neg.f32 (.f32 (-.f32 1 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (/.f32 (.f32 x 4) (.f32 (-.f32 1 x) 1/4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (/.f32 x (+.f32 x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (/.f32 (+.f32 x x) (+.f32 x -1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (neg.f32 (+.f32 x x))) (+.f32 x (+.f32 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (.f32 x 8)) (neg.f32 (.f32 (-.f32 1 x) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (+.f32 x x))) (-.f32 1 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Outputs

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/.f32 (neg.f32 (neg.f32 (+.f32 x x))) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (*.f32 x 4))) (*.f32 2 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 x 1/2)) (neg.f32 (*.f32 (-.f32 1 x) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 x 1/2)) (-.f32 0 (/.f32 (*.f32 (-.f32 1 x) (*.f32 (-.f32 1 x) 1/4)) (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (neg.f32 x) x)) (-.f32 0 (*.f32 2 (neg.f32 (*.f32 (-.f32 1 x) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 2 (*.f32 x 8))) (neg.f32 (*.f32 (-.f32 1 x) 8)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 2 (neg.f32 (+.f32 x x)))) (*.f32 2 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (*.f32 x 8))) (*.f32 (-.f32 1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (*.f32 x 1/2))) (*.f32 (-.f32 1 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (neg.f32 (neg.f32 (+.f32 x x)))) (+.f32 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (+.f32 x x) (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 2 (/.f32 x (+.f32 x -1))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1/2) (*.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)))))

simplify166.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

1564×	`rational.json-simplify-35`
1192×	`rational.json-simplify-44`
1064×	`rational.json-simplify-47`
1052×	`rational.json-simplify-50`
904×	`rational.json-simplify-1`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	334	4561
1	920	4459
2	2274	4237
3	7031	4207

Stop Event

1×	node limit

Counts

173 → 237

Calls

Call 1

Inputs
2
(+.f32 (*.f32 2 x) 2)
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 x) 2))
(+.f32 (.f32 2 (pow.f32 x 3)) (+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 x) 2)))
(/.f32 -2 x)
(neg.f32 (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 3))) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 3))) (.f32 2 (/.f32 1 (pow.f32 x 2)))))))
(/.f32 -2 x)
(neg.f32 (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 3))) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 3))) (.f32 2 (/.f32 1 (pow.f32 x 2)))))))
(*.f32 2 x)
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (.f32 2/7 (pow.f32 x 7)) (+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (/.f32 2 (-.f32 1 x)) 0)
(+.f32 0 (/.f32 2 (-.f32 1 x)))
(+.f32 -1 (-.f32 1 (*.f32 2 (/.f32 1 (+.f32 x -1)))))
(+.f32 -1 (-.f32 1 (/.f32 2 (+.f32 x -1))))
(+.f32 (/.f32 -1 (+.f32 x -1)) (/.f32 -1 (+.f32 x -1)))
(-.f32 (/.f32 2 (-.f32 1 x)) 0)
(-.f32 0 (*.f32 2 (/.f32 1 (+.f32 x -1))))
(-.f32 0 (/.f32 2 (+.f32 x -1)))
(-.f32 (/.f32 -1 (+.f32 x -1)) (/.f32 1 (+.f32 x -1)))
(*.f32 2 (/.f32 -1 (+.f32 x -1)))
(.f32 2 (.f32 (/.f32 2 (.f32 (-.f32 1 x) (-.f32 1 x))) (.f32 (-.f32 1 x) 1/2)))
(.f32 2 (.f32 (/.f32 1 (*.f32 (-.f32 1 x) (-.f32 1 x))) (-.f32 1 x)))
(.f32 2 (.f32 (/.f32 4 (.f32 (-.f32 1 x) (-.f32 1 x))) (.f32 (-.f32 1 x) 1/4)))
(*.f32 1 (/.f32 2 (-.f32 1 x)))
(.f32 (-.f32 1 x) (/.f32 2 (.f32 (-.f32 1 x) (-.f32 1 x))))
(*.f32 (/.f32 2 (-.f32 1 x)) 1)
(.f32 4 (/.f32 1 (.f32 2 (-.f32 1 x))))
(.f32 (.f32 2 (-.f32 1 x)) (/.f32 1 (*.f32 (-.f32 1 x) (-.f32 1 x))))
(.f32 -1 (.f32 2 (/.f32 1 (+.f32 x -1))))
(*.f32 (/.f32 4 (-.f32 1 x)) 1/2)
(.f32 (.f32 (-.f32 1 x) 1/2) (/.f32 4 (*.f32 (-.f32 1 x) (-.f32 1 x))))
(.f32 (.f32 2 (/.f32 4 (-.f32 1 x))) 1/4)
(*.f32 1/2 (/.f32 4 (-.f32 1 x)))
(*.f32 (/.f32 -1 (+.f32 x -1)) 2)
(.f32 1/4 (.f32 2 (/.f32 4 (-.f32 1 x))))
(.f32 1/4 (/.f32 (.f32 (-.f32 1 x) 8) (*.f32 (-.f32 1 x) (-.f32 1 x))))
(.f32 (.f32 (-.f32 1 x) 1/4) (/.f32 2 (.f32 (-.f32 1 x) (.f32 (-.f32 1 x) 1/4))))
(.f32 (/.f32 (.f32 (-.f32 1 x) 8) (*.f32 (-.f32 1 x) (-.f32 1 x))) 1/4)
(.f32 (.f32 2 (/.f32 1 (+.f32 x -1))) -1)
(.f32 (/.f32 1 (.f32 2 (-.f32 1 x))) 4)
(*.f32 (/.f32 2 (+.f32 x -1)) -1)
(.f32 (/.f32 2 (.f32 (-.f32 1 x) (.f32 (-.f32 1 x) 1/4))) (.f32 (-.f32 1 x) 1/4))
(.f32 (/.f32 4 (.f32 (-.f32 1 x) (-.f32 1 x))) (*.f32 (-.f32 1 x) 1/2))
(.f32 (/.f32 2 (.f32 (-.f32 1 x) (-.f32 1 x))) (-.f32 1 x))
(.f32 (/.f32 1 (.f32 (-.f32 1 x) (-.f32 1 x))) (*.f32 2 (-.f32 1 x)))
(pow.f32 (/.f32 2 (-.f32 1 x)) 1)
(neg.f32 (*.f32 2 (/.f32 1 (+.f32 x -1))))
(neg.f32 (/.f32 2 (+.f32 x -1)))
(+.f32 (/.f32 2 (-.f32 1 x)) -2)
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(+.f32 0 (*.f32 2 (/.f32 x (-.f32 1 x))))
(+.f32 -2 (/.f32 2 (-.f32 1 x)))
(+.f32 -1 (-.f32 1 (/.f32 (+.f32 x x) (+.f32 x -1))))
(+.f32 (/.f32 -1 (+.f32 x -1)) (-.f32 (/.f32 -1 (+.f32 x -1)) 2))
(+.f32 (/.f32 x (-.f32 1 x)) (/.f32 x (-.f32 1 x)))
(+.f32 -3 (-.f32 1 (*.f32 2 (/.f32 1 (+.f32 x -1)))))
(+.f32 -3 (-.f32 1 (/.f32 2 (+.f32 x -1))))
(-.f32 (/.f32 2 (-.f32 1 x)) 2)
(-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(-.f32 0 (/.f32 (+.f32 x x) (+.f32 x -1)))
(-.f32 (/.f32 x (-.f32 1 x)) (/.f32 x (+.f32 x -1)))
(/.f32 2 (+.f32 -1 (/.f32 1 x)))
(/.f32 1 (-.f32 (/.f32 1/2 x) 1/2))
(/.f32 1 (-.f32 0 (/.f32 (+.f32 x -1) (+.f32 x x))))
(/.f32 x (*.f32 (-.f32 1 x) 1/2))
(/.f32 x (/.f32 (.f32 (-.f32 1 x) (.f32 (-.f32 1 x) 1/2)) (-.f32 1 x)))
(/.f32 x (/.f32 (neg.f32 (*.f32 4 (+.f32 x -1))) 8))
(/.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1)
(/.f32 4 (-.f32 (/.f32 2 x) 2))
(/.f32 4 (-.f32 0 (/.f32 (+.f32 x -1) (*.f32 x 1/2))))
(/.f32 -2 (+.f32 1 (/.f32 -1 x)))
(/.f32 -2 (*.f32 2 (/.f32 (+.f32 x -1) (+.f32 x x))))
(/.f32 -2 (-.f32 1 (/.f32 1 x)))
(/.f32 -1 (/.f32 (+.f32 x -1) (+.f32 x x)))
(/.f32 -1 (-.f32 1/2 (/.f32 1/2 x)))
(/.f32 (/.f32 (*.f32 x 4) (-.f32 1 x)) 2)
(/.f32 (+.f32 x x) (-.f32 1 x))
(/.f32 8 (*.f32 2 (-.f32 (/.f32 2 x) 2)))
(/.f32 8 (/.f32 (*.f32 (-.f32 1 x) 4) x))
(/.f32 -4 (/.f32 (+.f32 x -1) (*.f32 x 1/2)))
(/.f32 -4 (*.f32 2 (+.f32 1 (/.f32 -1 x))))
(/.f32 -4 (-.f32 2 (/.f32 2 x)))
(/.f32 (*.f32 8 (/.f32 x (-.f32 1 x))) 4)
(/.f32 (.f32 x 4) (.f32 2 (-.f32 1 x)))
(/.f32 16 (.f32 2 (.f32 2 (-.f32 (/.f32 2 x) 2))))
(/.f32 16 (.f32 2 (/.f32 (.f32 (-.f32 1 x) 4) x)))
(/.f32 -8 (.f32 2 (/.f32 (+.f32 x -1) (.f32 x 1/2))))
(/.f32 -8 (-.f32 0 (*.f32 2 (-.f32 (/.f32 2 x) 2))))
(/.f32 -8 (-.f32 0 (/.f32 (*.f32 (-.f32 1 x) 4) x)))
(/.f32 (*.f32 16 (/.f32 x (-.f32 1 x))) 8)
(/.f32 (.f32 x 8) (.f32 (-.f32 1 x) 4))
(/.f32 (/.f32 x (-.f32 1 x)) 1/2)
(/.f32 (.f32 x 1/2) (.f32 (-.f32 1 x) 1/4))
(/.f32 (.f32 x 1/2) (/.f32 (.f32 (-.f32 1 x) (*.f32 (-.f32 1 x) 1/4)) (-.f32 1 x)))
(/.f32 (neg.f32 x) (neg.f32 (*.f32 (-.f32 1 x) 1/2)))
(/.f32 (neg.f32 x) (-.f32 0 (/.f32 (.f32 (-.f32 1 x) (.f32 (-.f32 1 x) 1/2)) (-.f32 1 x))))
(/.f32 (-.f32 (/.f32 2 x) 2) (*.f32 (+.f32 -1 (/.f32 1 x)) (+.f32 -1 (/.f32 1 x))))
(/.f32 (.f32 2 (.f32 16 (/.f32 x (-.f32 1 x)))) 16)
(/.f32 (-.f32 (neg.f32 x) x) (.f32 2 (neg.f32 (.f32 (-.f32 1 x) 1/2))))
(/.f32 (.f32 2 (.f32 x 8)) (*.f32 (-.f32 1 x) 8))
(/.f32 (/.f32 (.f32 x 4) (.f32 (-.f32 1 x) 1/4)) 8)
(/.f32 (/.f32 x (*.f32 2 (-.f32 1 x))) 1/4)
(/.f32 (/.f32 x (+.f32 x -1)) -1/2)
(/.f32 (/.f32 (+.f32 x x) (+.f32 x -1)) -1)
(/.f32 (neg.f32 (+.f32 x x)) (+.f32 x -1))
(/.f32 (neg.f32 (*.f32 x 4)) (+.f32 x (+.f32 x -2)))
(/.f32 (.f32 2 (.f32 2 (*.f32 16 (/.f32 x (-.f32 1 x))))) 32)
(/.f32 (.f32 2 (-.f32 (neg.f32 x) x)) (.f32 2 (.f32 2 (neg.f32 (.f32 (-.f32 1 x) 1/2)))))
(/.f32 (.f32 2 (/.f32 (.f32 x 4) (*.f32 (-.f32 1 x) 1/4))) 16)
(/.f32 (*.f32 2 (/.f32 x (+.f32 x -1))) -1)
(/.f32 (*.f32 2 (/.f32 (+.f32 x x) (+.f32 x -1))) -2)
(/.f32 (*.f32 2 (neg.f32 (+.f32 x x))) (+.f32 x (+.f32 x -2)))
(/.f32 (neg.f32 (.f32 x 8)) (neg.f32 (.f32 (-.f32 1 x) 4)))
(/.f32 (neg.f32 (neg.f32 (+.f32 x x))) (-.f32 1 x))
(/.f32 (neg.f32 (neg.f32 (.f32 x 4))) (.f32 2 (-.f32 1 x)))
(/.f32 (neg.f32 (.f32 x 1/2)) (neg.f32 (.f32 (-.f32 1 x) 1/4)))
(/.f32 (neg.f32 (.f32 x 1/2)) (-.f32 0 (/.f32 (.f32 (-.f32 1 x) (*.f32 (-.f32 1 x) 1/4)) (-.f32 1 x))))
(/.f32 (neg.f32 (-.f32 (neg.f32 x) x)) (-.f32 0 (.f32 2 (neg.f32 (.f32 (-.f32 1 x) 1/2)))))
(/.f32 (neg.f32 (.f32 2 (.f32 x 8))) (neg.f32 (*.f32 (-.f32 1 x) 8)))
(/.f32 (neg.f32 (.f32 2 (neg.f32 (+.f32 x x)))) (.f32 2 (-.f32 1 x)))
(/.f32 (neg.f32 (neg.f32 (.f32 x 8))) (.f32 (-.f32 1 x) 4))
(/.f32 (neg.f32 (neg.f32 (.f32 x 1/2))) (.f32 (-.f32 1 x) 1/4))
(/.f32 (neg.f32 (neg.f32 (neg.f32 (+.f32 x x)))) (+.f32 x -1))
(pow.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1)
(neg.f32 (/.f32 (+.f32 x x) (+.f32 x -1)))
(neg.f32 (*.f32 2 (/.f32 x (+.f32 x -1))))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(+.f32 0 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(+.f32 (.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 1/2) (.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 1/2))
(-.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(.f32 2 (.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1/2))
(.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))
(.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 1)
(.f32 4 (/.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 4))
(.f32 (.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 1/2)
(.f32 (.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 4) 1/4)
(.f32 1/2 (.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(.f32 1/4 (.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 4))
(.f32 (.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1/2) 2)
(.f32 (/.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 4) 4)
(/.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)
(/.f32 (.f32 2 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2)
(/.f32 (.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 4) 4)
(/.f32 (.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 8) 8)
(/.f32 (.f32 2 (.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 8)) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 8))) 32)
(pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)

Outputs
2
(+.f32 (*.f32 2 x) 2)
(+.f32 2 (*.f32 2 x))
(+.f32 2 (+.f32 x x))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 x) 2))
(+.f32 (.f32 2 x) (+.f32 2 (.f32 2 (pow.f32 x 2))))
(+.f32 2 (*.f32 2 (+.f32 (pow.f32 x 2) x)))
(+.f32 2 (*.f32 2 (+.f32 x (pow.f32 x 2))))
(+.f32 (.f32 2 (pow.f32 x 3)) (+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 x) 2)))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (+.f32 2 (.f32 2 x)) (*.f32 2 (pow.f32 x 3))))
(+.f32 (+.f32 2 (.f32 2 (+.f32 (pow.f32 x 2) x))) (.f32 2 (pow.f32 x 3)))
(+.f32 2 (*.f32 2 (+.f32 (pow.f32 x 2) (+.f32 x (pow.f32 x 3)))))
(/.f32 -2 x)
(neg.f32 (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (.f32 2 (/.f32 1 x))))
(neg.f32 (*.f32 2 (+.f32 (/.f32 1 x) (/.f32 1 (pow.f32 x 2)))))
(neg.f32 (*.f32 2 (+.f32 (/.f32 1 (pow.f32 x 2)) (/.f32 1 x))))
(*.f32 2 (neg.f32 (+.f32 (/.f32 1 (pow.f32 x 2)) (/.f32 1 x))))
(neg.f32 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 3))) (*.f32 2 (/.f32 1 (pow.f32 x 2))))))
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(log1p.f32 (/.f32 x (*.f32 (-.f32 1 x) 1/2)))
(/.f32 (.f32 2 (.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 8)) 16)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))
(log1p.f32 (/.f32 x (*.f32 (-.f32 1 x) 1/2)))
(/.f32 (.f32 2 (.f32 2 (.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 8))) 32)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))
(log1p.f32 (/.f32 x (*.f32 (-.f32 1 x) 1/2)))
(pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))
(log1p.f32 (/.f32 x (*.f32 (-.f32 1 x) 1/2)))

localize11.0ms (0.1%)

Compiler: Compiled 9 to 9 computations (0% saved)

localize18.0ms (0.1%)

Compiler: Compiled 16 to 6 computations (62.5% saved)

localize87.0ms (0.7%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
✓	0.0b	(-.f32 -1 (/.f32 -1 x))
✓	0.2b	(/.f32 2 (-.f32 -1 (/.f32 -1 x)))

Compiler

Compiled 38 to 32 computations (15.8% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
0.0ms	x	@	0	(/.f32 2 (-.f32 -1 (/.f32 -1 x)))
0.0ms	x	@	-inf	(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))
0.0ms	x	@	0	(-.f32 -1 (/.f32 -1 x))
0.0ms	x	@	inf	(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))

rewrite152.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

1666×	`rational.json-1`
1666×	`rational.json-2`
1666×	`rational.json-3`
1660×	`rational.json-4`
1290×	`rational.json-simplify-35`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	76	55
2	196	55
3	420	55
4	901	55
5	2654	55
6	6618	55

Stop Event

1×	node limit

Counts

3 → 97

Calls

Call 1

Inputs
(/.f32 2 (-.f32 -1 (/.f32 -1 x)))
(-.f32 -1 (/.f32 -1 x))
(log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -2 (+.f32 2 (/.f32 -2 x))) (/.f32 -2 (+.f32 2 (/.f32 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 -2 (+.f32 2 (/.f32 -2 x))) (/.f32 2 (+.f32 2 (/.f32 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 -2 (+.f32 2 (/.f32 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (+.f32 (/.f32 -1 x) 1) (*.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 -1 (/.f32 -1 x)) (/.f32 1 (*.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (+.f32 2 (/.f32 -2 x))) (/.f32 1/2 (*.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -8 (+.f32 2 (/.f32 -2 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2) (/.f32 2 (*.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 -8 (+.f32 2 (/.f32 -2 x)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (/.f32 -8 (+.f32 2 (/.f32 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -2 (+.f32 2 (/.f32 -2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 2 (/.f32 -2 x)) -8) (/.f32 4 (*.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 2 (/.f32 -8 (+.f32 2 (/.f32 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (/.f32 (neg.f32 (+.f32 2 (/.f32 -2 x))) (*.f32 (-.f32 -1 (/.f32 -1 x)) (/.f32 (+.f32 2 (/.f32 -2 x)) -8))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 (/.f32 -1 x) 1) (*.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (neg.f32 (+.f32 2 (/.f32 -2 x))) (*.f32 (-.f32 -1 (/.f32 -1 x)) (/.f32 (+.f32 2 (/.f32 -2 x)) -8))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (*.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))) (neg.f32 (+.f32 2 (/.f32 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 4 (*.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))) (/.f32 (+.f32 2 (/.f32 -2 x)) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (*.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))) (-.f32 -1 (/.f32 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (+.f32 (/.f32 -1 x) 1) (*.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 4 (+.f32 2 (/.f32 -2 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (neg.f32 (/.f32 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 -1 (/.f32 -1 x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (-.f32 -1 (/.f32 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 (/.f32 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (+.f32 (/.f32 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 x) (+.f32 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 x) (+.f32 (*.f32 (-.f32 1 x) -1/2) (*.f32 (-.f32 1 x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 -1 (/.f32 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (-.f32 -1 (/.f32 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (+.f32 2 (/.f32 -2 x)) -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (+.f32 2 (/.f32 -2 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 -1 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 2 (/.f32 -2 x)) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (-.f32 -1 (/.f32 -1 x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -2 x) (*.f32 (-.f32 1 x) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 x) (neg.f32 (/.f32 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (-.f32 -1 (/.f32 -1 x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (neg.f32 (+.f32 2 (/.f32 -2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (/.f32 -1 x)) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (+.f32 2 (/.f32 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 2 (/.f32 -2 x)) -8) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (-.f32 -1 (/.f32 -1 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (-.f32 1 x) -1/2) (/.f32 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (-.f32 1 x)) (*.f32 -1/2 (/.f32 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/8 (*.f32 (-.f32 -1 (/.f32 -1 x)) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x -1) (/.f32 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 -1 (/.f32 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 2 (/.f32 -2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 -1 x) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 2 (/.f32 -2 x)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 -1 (/.f32 -1 x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (+.f32 2 (/.f32 -2 x))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 -1 (/.f32 -1 x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 2 (/.f32 -2 x)) 4) -8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (-.f32 -1 (/.f32 -1 x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 x) -1/2) (*.f32 x -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (-.f32 1 x) -1/2) (/.f32 (*.f32 x x) (*.f32 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (-.f32 -1 (/.f32 -1 x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 x -1) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 2 (+.f32 2 (/.f32 -2 x)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (neg.f32 (*.f32 2 (+.f32 2 (/.f32 -2 x)))) (neg.f32 (*.f32 2 (+.f32 2 (/.f32 -2 x))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 -1 (/.f32 -1 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (+.f32 (/.f32 -1 x) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 1/2) (*.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 2 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 8)) (*.f32 2 (*.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 1)))))

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

1152×	`rational.json-simplify-51`
1024×	`rational.json-simplify-46`
916×	`rational.json-simplify-41`
900×	`rational.json-simplify-43`
892×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	220	3473
1	469	3351
2	1331	3055
3	5912	2987

Stop Event

1×	node limit

Counts

133 → 165

Calls

Call 1

Inputs
(*.f32 2 x)
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(/.f32 1 x)
(-.f32 (/.f32 1 x) 1)
(-.f32 (/.f32 1 x) 1)
(-.f32 (/.f32 1 x) 1)
-1
(-.f32 (/.f32 1 x) 1)
(-.f32 (/.f32 1 x) 1)
(-.f32 (/.f32 1 x) 1)
-1
(-.f32 (/.f32 1 x) 1)
(-.f32 (/.f32 1 x) 1)
(-.f32 (/.f32 1 x) 1)
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (.f32 2/7 (pow.f32 x 7)) (+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))) 0)
(+.f32 0 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))
(+.f32 (/.f32 -2 (+.f32 2 (/.f32 -2 x))) (/.f32 -2 (+.f32 2 (/.f32 -2 x))))
(-.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))) 0)
(-.f32 (/.f32 -2 (+.f32 2 (/.f32 -2 x))) (/.f32 2 (+.f32 2 (/.f32 -2 x))))
(*.f32 2 (/.f32 -2 (+.f32 2 (/.f32 -2 x))))
(.f32 -1 (/.f32 (+.f32 (/.f32 -1 x) 1) (.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))))
(.f32 (-.f32 -1 (/.f32 -1 x)) (/.f32 1 (.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))))
(*.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))) 1)
(*.f32 1 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))
(*.f32 4 (/.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))) 4))
(.f32 (neg.f32 (+.f32 2 (/.f32 -2 x))) (/.f32 1/2 (.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))))
(*.f32 (/.f32 -8 (+.f32 2 (/.f32 -2 x))) 1/2)
(.f32 (.f32 (+.f32 (/.f32 -1 x) 1) -1/2) (/.f32 2 (.f32 (-.f32 -1 (/.f32 -1 x)) (.f32 (+.f32 (/.f32 -1 x) 1) -1/2))))
(.f32 (.f32 2 (/.f32 -8 (+.f32 2 (/.f32 -2 x)))) 1/4)
(*.f32 1/2 (/.f32 -8 (+.f32 2 (/.f32 -2 x))))
(*.f32 (/.f32 -2 (+.f32 2 (/.f32 -2 x))) 2)
(.f32 (/.f32 (+.f32 2 (/.f32 -2 x)) -8) (/.f32 4 (.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))))
(.f32 1/4 (.f32 2 (/.f32 -8 (+.f32 2 (/.f32 -2 x)))))
(.f32 1/4 (/.f32 (neg.f32 (+.f32 2 (/.f32 -2 x))) (.f32 (-.f32 -1 (/.f32 -1 x)) (/.f32 (+.f32 2 (/.f32 -2 x)) -8))))
(.f32 (/.f32 (+.f32 (/.f32 -1 x) 1) (.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))) -1)
(.f32 (/.f32 (neg.f32 (+.f32 2 (/.f32 -2 x))) (.f32 (-.f32 -1 (/.f32 -1 x)) (/.f32 (+.f32 2 (/.f32 -2 x)) -8))) 1/4)
(.f32 (/.f32 1/2 (.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))) (neg.f32 (+.f32 2 (/.f32 -2 x))))
(.f32 (/.f32 4 (.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))) (/.f32 (+.f32 2 (/.f32 -2 x)) -8))
(.f32 (/.f32 2 (.f32 (-.f32 -1 (/.f32 -1 x)) (.f32 (+.f32 (/.f32 -1 x) 1) -1/2))) (.f32 (+.f32 (/.f32 -1 x) 1) -1/2))
(.f32 (/.f32 1 (.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))) (-.f32 -1 (/.f32 -1 x)))
(*.f32 (/.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))) 4) 4)
(pow.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))) 1)
(neg.f32 (/.f32 (+.f32 (/.f32 -1 x) 1) (.f32 (-.f32 -1 (/.f32 -1 x)) (.f32 (+.f32 (/.f32 -1 x) 1) -1/2))))
(neg.f32 (/.f32 4 (+.f32 2 (/.f32 -2 x))))
(+.f32 -1 (neg.f32 (/.f32 -1 x)))
(+.f32 (-.f32 -1 (/.f32 -1 x)) 0)
(+.f32 0 (-.f32 -1 (/.f32 -1 x)))
(+.f32 (.f32 (+.f32 (/.f32 -1 x) 1) -1/2) (.f32 (+.f32 (/.f32 -1 x) 1) -1/2))
(+.f32 (neg.f32 (/.f32 -1 x)) -1)
(.f32 2 (.f32 (+.f32 (/.f32 -1 x) 1) -1/2))
(*.f32 -1 (+.f32 (/.f32 -1 x) 1))
(*.f32 (/.f32 -1 x) (+.f32 x -1))
(.f32 (/.f32 -1 x) (+.f32 (.f32 (-.f32 1 x) -1/2) (*.f32 (-.f32 1 x) -1/2)))
(*.f32 (-.f32 -1 (/.f32 -1 x)) 1)
(*.f32 1 (-.f32 -1 (/.f32 -1 x)))
(*.f32 4 (/.f32 (+.f32 2 (/.f32 -2 x)) -8))
(*.f32 (neg.f32 (+.f32 2 (/.f32 -2 x))) 1/2)
(*.f32 (+.f32 (/.f32 -1 x) 1) -1)
(*.f32 (+.f32 2 (/.f32 -2 x)) -1/2)
(.f32 (.f32 (-.f32 -1 (/.f32 -1 x)) 4) 1/4)
(.f32 (/.f32 -2 x) (.f32 (-.f32 1 x) -1/2))
(.f32 (.f32 (+.f32 (/.f32 -1 x) 1) -1/2) 2)
(*.f32 (-.f32 1 x) (neg.f32 (/.f32 -1 x)))
(.f32 (.f32 (-.f32 -1 (/.f32 -1 x)) 8) 1/8)
(*.f32 1/2 (neg.f32 (+.f32 2 (/.f32 -2 x))))
(*.f32 (neg.f32 (/.f32 -1 x)) (-.f32 1 x))
(*.f32 -1/2 (+.f32 2 (/.f32 -2 x)))
(*.f32 (/.f32 (+.f32 2 (/.f32 -2 x)) -8) 4)
(.f32 1/4 (.f32 (-.f32 -1 (/.f32 -1 x)) 4))
(.f32 (.f32 (-.f32 1 x) -1/2) (/.f32 -2 x))
(.f32 (.f32 2 (-.f32 1 x)) (*.f32 -1/2 (/.f32 -1 x)))
(.f32 1/8 (.f32 (-.f32 -1 (/.f32 -1 x)) 8))
(*.f32 (+.f32 x -1) (/.f32 -1 x))
(/.f32 (-.f32 -1 (/.f32 -1 x)) 1)
(/.f32 (neg.f32 (+.f32 2 (/.f32 -2 x))) 2)
(/.f32 (+.f32 (/.f32 -1 x) 1) -1)
(/.f32 (+.f32 2 (/.f32 -2 x)) -2)
(/.f32 (*.f32 (-.f32 -1 (/.f32 -1 x)) 4) 4)
(/.f32 (*.f32 2 (+.f32 2 (/.f32 -2 x))) -4)
(/.f32 (*.f32 (-.f32 -1 (/.f32 -1 x)) 8) 8)
(/.f32 (*.f32 (+.f32 2 (/.f32 -2 x)) 4) -8)
(/.f32 (.f32 2 (.f32 (-.f32 -1 (/.f32 -1 x)) 8)) 16)
(/.f32 (.f32 (-.f32 1 x) -1/2) (.f32 x -1/2))
(/.f32 (.f32 (-.f32 1 x) -1/2) (/.f32 (.f32 x x) (*.f32 x -2)))
(/.f32 (.f32 2 (.f32 2 (*.f32 (-.f32 -1 (/.f32 -1 x)) 8))) 32)
(/.f32 (+.f32 x -1) (neg.f32 x))
(/.f32 (neg.f32 (*.f32 2 (+.f32 2 (/.f32 -2 x)))) 4)
(/.f32 (+.f32 (neg.f32 (.f32 2 (+.f32 2 (/.f32 -2 x)))) (neg.f32 (.f32 2 (+.f32 2 (/.f32 -2 x))))) 8)
(pow.f32 (-.f32 -1 (/.f32 -1 x)) 1)
(neg.f32 (+.f32 (/.f32 -1 x) 1))
(+.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 0)
(+.f32 0 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))))
(+.f32 (.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 1/2) (.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 1/2))
(-.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 0)
(.f32 2 (.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 1/2))
(*.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 1)
(*.f32 1 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))))
(*.f32 4 (/.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 4))
(.f32 (.f32 2 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))) 1/2)
(.f32 (.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 4) 1/4)
(.f32 1/2 (.f32 2 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))))
(.f32 1/4 (.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 4))
(.f32 (.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 1/2) 2)
(*.f32 (/.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 4) 4)
(/.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 1)
(/.f32 (*.f32 2 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))) 2)
(/.f32 (*.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 4) 4)
(/.f32 (*.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 8) 8)
(/.f32 (.f32 2 (.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 8)) 16)
(/.f32 (+.f32 (.f32 2 (.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 8)) (.f32 2 (.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 8))) 32)
(pow.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 1)

Outputs
(*.f32 2 x)
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 (pow.f32 x 2) x))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 x) (*.f32 2 (pow.f32 x 3))))
(+.f32 (.f32 2 (+.f32 (pow.f32 x 2) x)) (.f32 2 (pow.f32 x 3)))
(*.f32 2 (+.f32 (pow.f32 x 3) (+.f32 x (pow.f32 x 2))))
(*.f32 2 (+.f32 x (+.f32 (pow.f32 x 2) (pow.f32 x 3))))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 4)))))
(+.f32 (.f32 2 (pow.f32 x 3)) (+.f32 (.f32 2 (pow.f32 x 2)) (*.f32 2 (+.f32 x (pow.f32 x 4)))))
(+.f32 (.f32 2 (pow.f32 x 3)) (.f32 2 (+.f32 (pow.f32 x 2) (+.f32 x (pow.f32 x 4)))))
(*.f32 2 (+.f32 (pow.f32 x 2) (+.f32 (pow.f32 x 3) (+.f32 x (pow.f32 x 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 (pow.f32 x 2)) (/.f32 1 x)))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 2 (+.f32 (/.f32 1 x) (/.f32 1 (pow.f32 x 3)))) 2)))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 (pow.f32 x 2)) (+.f32 (/.f32 1 (pow.f32 x 3)) (/.f32 1 x))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 (pow.f32 x 2)) (/.f32 1 x)))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 2 (+.f32 (/.f32 1 x) (/.f32 1 (pow.f32 x 3)))) 2)))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 (pow.f32 x 2)) (+.f32 (/.f32 1 (pow.f32 x 3)) (/.f32 1 x))))))
(/.f32 1 x)
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(+.f32 -1 (/.f32 1 x))
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(+.f32 -1 (/.f32 1 x))
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(+.f32 -1 (/.f32 1 x))
-1
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(+.f32 -1 (/.f32 1 x))
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(+.f32 -1 (/.f32 1 x))
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(+.f32 -1 (/.f32 1 x))
-1
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(+.f32 -1 (/.f32 1 x))
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(+.f32 -1 (/.f32 1 x))
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(+.f32 -1 (/.f32 1 x))
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2 x) (.f32 (pow.f32 x 3) 2/3))
(+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (.f32 2 x) (+.f32 (.f32 (pow.f32 x 3) 2/3) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 (.f32 2 x) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (.f32 2/7 (pow.f32 x 7)) (+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))))
(+.f32 (.f32 2 x) (+.f32 (+.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 2/5 (pow.f32 x 5))) (.f32 2/7 (pow.f32 x 7))))
(+.f32 (.f32 2 x) (+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/7 (pow.f32 x 7)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (*.f32 2 (/.f32 1 x)) (log.f32 -1))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (.f32 (/.f32 1 (pow.f32 x 3)) 2/3)))
(+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 (/.f32 1 (pow.f32 x 3)) 2/3) (log.f32 -1)))
(+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (log.f32 -1) (.f32 (/.f32 1 (pow.f32 x 3)) 2/3)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (log.f32 -1) (+.f32 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2/5 (/.f32 1 (pow.f32 x 5)))) (*.f32 (/.f32 1 (pow.f32 x 3)) 2/3)))
(+.f32 (.f32 (/.f32 1 (pow.f32 x 3)) 2/3) (+.f32 (.f32 2/5 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 2 (/.f32 1 x)) (log.f32 -1))))
(+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 (/.f32 1 (pow.f32 x 3)) 2/3) (+.f32 (log.f32 -1) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (*.f32 2 (/.f32 1 x)) (log.f32 -1))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (.f32 (/.f32 1 (pow.f32 x 3)) 2/3)))
(+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 (/.f32 1 (pow.f32 x 3)) 2/3) (log.f32 -1)))
(+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (log.f32 -1) (.f32 (/.f32 1 (pow.f32 x 3)) 2/3)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (log.f32 -1) (+.f32 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2/5 (/.f32 1 (pow.f32 x 5)))) (*.f32 (/.f32 1 (pow.f32 x 3)) 2/3)))
(+.f32 (.f32 (/.f32 1 (pow.f32 x 3)) 2/3) (+.f32 (.f32 2/5 (/.f32 1 (pow.f32 x 5))) (+.f32 (*.f32 2 (/.f32 1 x)) (log.f32 -1))))
(+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 (/.f32 1 (pow.f32 x 3)) 2/3) (+.f32 (log.f32 -1) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))) 0)
(/.f32 -4 (+.f32 2 (/.f32 -2 x)))
(+.f32 0 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))
(/.f32 -4 (+.f32 2 (/.f32 -2 x)))
(+.f32 (/.f32 -2 (+.f32 2 (/.f32 -2 x))) (/.f32 -2 (+.f32 2 (/.f32 -2 x))))
(-.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))) 0)
(/.f32 -4 (+.f32 2 (/.f32 -2 x)))
(-.f32 (/.f32 -2 (+.f32 2 (/.f32 -2 x))) (/.f32 2 (+.f32 2 (/.f32 -2 x))))
(*.f32 2 (/.f32 -2 (+.f32 2 (/.f32 -2 x))))
(.f32 -1 (/.f32 (+.f32 (/.f32 -1 x) 1) (.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))))
(neg.f32 (/.f32 (+.f32 1 (/.f32 -1 x)) (.f32 (+.f32 1 (/.f32 -1 x)) (.f32 -1/2 (-.f32 -1 (/.f32 -1 x))))))
(/.f32 (neg.f32 (+.f32 1 (/.f32 -1 x))) (.f32 (+.f32 1 (/.f32 -1 x)) (.f32 (+.f32 -1 (/.f32 1 x)) -1/2)))
(*.f32 2 (/.f32 1 (+.f32 -1 (/.f32 1 x))))
(*.f32 2 (/.f32 x (-.f32 1 x)))
(.f32 (-.f32 -1 (/.f32 -1 x)) (/.f32 1 (.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))))
(neg.f32 (/.f32 (+.f32 1 (/.f32 -1 x)) (.f32 (+.f32 1 (/.f32 -1 x)) (.f32 -1/2 (-.f32 -1 (/.f32 -1 x))))))
(/.f32 (neg.f32 (+.f32 1 (/.f32 -1 x))) (.f32 (+.f32 1 (/.f32 -1 x)) (.f32 (+.f32 -1 (/.f32 1 x)) -1/2)))
(*.f32 2 (/.f32 1 (+.f32 -1 (/.f32 1 x))))
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))) 1)
(/.f32 -4 (+.f32 2 (/.f32 -2 x)))
(*.f32 1 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))
(/.f32 -4 (+.f32 2 (/.f32 -2 x)))
(*.f32 4 (/.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))) 4))
(/.f32 -4 (+.f32 2 (/.f32 -2 x)))
(.f32 (neg.f32 (+.f32 2 (/.f32 -2 x))) (/.f32 1/2 (.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))))
(.f32 (neg.f32 (+.f32 2 (/.f32 -2 x))) (/.f32 1/2 (.f32 (+.f32 1 (/.f32 -1 x)) (*.f32 -1/2 (-.f32 -1 (/.f32 -1 x))))))
(.f32 (neg.f32 (+.f32 2 (/.f32 -2 x))) (/.f32 1 (.f32 (+.f32 -1 (/.f32 1 x)) (neg.f32 (+.f32 1 (/.f32 -1 x))))))
(.f32 (neg.f32 (+.f32 2 (/.f32 -2 x))) (/.f32 1 (.f32 (+.f32 -1 (/.f32 1 x)) (+.f32 -1 (/.f32 1 x)))))
(*.f32 (+.f32 2 (/.f32 -2 x)) (neg.f32 (/.f32 x (/.f32 (-.f32 1 x) (/.f32 x (-.f32 1 x))))))
(*.f32 (/.f32 -8 (+.f32 2 (/.f32 -2 x))) 1/2)
(*.f32 1/2 (/.f32 -8 (+.f32 2 (/.f32 -2 x))))
(.f32 (.f32 (+.f32 (/.f32 -1 x) 1) -1/2) (/.f32 2 (.f32 (-.f32 -1 (/.f32 -1 x)) (.f32 (+.f32 (/.f32 -1 x) 1) -1/2))))
(neg.f32 (/.f32 (+.f32 1 (/.f32 -1 x)) (.f32 (+.f32 1 (/.f32 -1 x)) (.f32 -1/2 (-.f32 -1 (/.f32 -1 x))))))
(/.f32 (neg.f32 (+.f32 1 (/.f32 -1 x))) (.f32 (+.f32 1 (/.f32 -1 x)) (.f32 (+.f32 -1 (/.f32 1 x)) -1/2)))
(*.f32 2 (/.f32 1 (+.f32 -1 (/.f32 1 x))))
(*.f32 2 (/.f32 x (-.f32 1 x)))
(.f32 (.f32 2 (/.f32 -8 (+.f32 2 (/.f32 -2 x)))) 1/4)
(*.f32 1/2 (/.f32 -8 (+.f32 2 (/.f32 -2 x))))
(*.f32 1/2 (/.f32 -8 (+.f32 2 (/.f32 -2 x))))
(*.f32 (/.f32 -2 (+.f32 2 (/.f32 -2 x))) 2)
(*.f32 2 (/.f32 -2 (+.f32 2 (/.f32 -2 x))))
(.f32 (/.f32 (+.f32 2 (/.f32 -2 x)) -8) (/.f32 4 (.f32 (-.f32 -1 (/.f32 -1 x)) (*.f32 (+.f32 (/.f32 -1 x) 1) -1/2))))
(.f32 (/.f32 (+.f32 2 (/.f32 -2 x)) -8) (/.f32 (/.f32 4 (-.f32 -1 (/.f32 -1 x))) (.f32 (+.f32 1 (/.f32 -1 x)) -1/2)))
(.f32 (/.f32 (+.f32 2 (/.f32 -2 x)) -8) (/.f32 8 (.f32 (+.f32 -1 (/.f32 1 x)) (neg.f32 (+.f32 1 (/.f32 -1 x))))))
(.f32 (/.f32 (+.f32 2 (/.f32 -2 x)) -8) (/.f32 8 (.f32 (+.f32 -1 (/.f32 1 x)) (+.f32 -1 (/.f32 1 x)))))
(*.f32 (/.f32 (+.f32 2 (/.f32 -2 x)) -8) (/.f32 (/.f32 2 (-.f32 (/.f32 -1/2 x) -1/2)) (-.f32 (/.f32 -1/2 x) -1/2)))
(.f32 1/4 (.f32 2 (/.f32 -8 (+.f32 2 (/.f32 -2 x)))))
(*.f32 1/2 (/.f32 -8 (+.f32 2 (/.f32 -2 x))))
(.f32 1/4 (/.f32 (neg.f32 (+.f32 2 (/.f32 -2 x))) (.f32 (-.f32 -1 (/.f32 -1 x)) (/.f32 (+.f32 2 (/.f32 -2 x)) -8))))
(*.f32 1/4 (/.f32 (/.f32 (neg.f32 (+.f32 2 (/.f32 -2 x))) (+.f32 -1 (/.f32 1 x))) (/.f32 (+.f32 2 (/.f32 -2 x)) -8)))
(*.f32 1/4 (/.f32 -8 (/.f32 (+.f32 2 (/.f32 -2 x)) (neg.f32 (/.f32 (+.f32 2 (/.f32 -2 x)) (+.f32 -1 (/.f32 1 x)))))))
(*.f32 1/4 (/.f32 -8 (/.f32 (+.f32 2 (/.f32 -2 x)) (/.f32 (+.f32 2 (/.f32 -2 x)) (-.f32 1 (/.f32 1 x))))))
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(.f32 (.f32 (-.f32 -1 (/.f32 -1 x)) 4) 1/4)
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(.f32 (.f32 (+.f32 (/.f32 -1 x) 1) -1/2) 2)
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(.f32 (.f32 (-.f32 -1 (/.f32 -1 x)) 8) 1/8)
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(*.f32 (/.f32 (+.f32 2 (/.f32 -2 x)) -8) 4)
(*.f32 4 (/.f32 (+.f32 2 (/.f32 -2 x)) -8))
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(.f32 1/4 (.f32 (-.f32 -1 (/.f32 -1 x)) 4))
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(*.f32 (+.f32 2 (/.f32 -2 x)) -1/2)
(/.f32 (*.f32 (-.f32 -1 (/.f32 -1 x)) 8) 8)
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(/.f32 (*.f32 (+.f32 2 (/.f32 -2 x)) 4) -8)
(*.f32 4 (/.f32 (+.f32 2 (/.f32 -2 x)) -8))
(*.f32 (+.f32 2 (/.f32 -2 x)) -1/2)
(/.f32 (.f32 2 (.f32 (-.f32 -1 (/.f32 -1 x)) 8)) 16)
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(/.f32 (.f32 (-.f32 1 x) -1/2) (.f32 x -1/2))
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(/.f32 (.f32 (-.f32 1 x) -1/2) (/.f32 (.f32 x x) (*.f32 x -2)))
(.f32 -1/2 (/.f32 (-.f32 1 x) (/.f32 (.f32 x x) (*.f32 x -2))))
(.f32 -1/2 (/.f32 (-.f32 1 x) (.f32 x (/.f32 x (*.f32 x -2)))))
(/.f32 x (/.f32 (/.f32 x -2) (-.f32 (/.f32 -1/2 x) -1/2)))
(/.f32 (.f32 2 (.f32 2 (*.f32 (-.f32 -1 (/.f32 -1 x)) 8))) 32)
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(/.f32 (+.f32 x -1) (neg.f32 x))
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(/.f32 (neg.f32 (*.f32 2 (+.f32 2 (/.f32 -2 x)))) 4)
(*.f32 4 (/.f32 (+.f32 2 (/.f32 -2 x)) -8))
(*.f32 (+.f32 2 (/.f32 -2 x)) -1/2)
(/.f32 (+.f32 (neg.f32 (.f32 2 (+.f32 2 (/.f32 -2 x)))) (neg.f32 (.f32 2 (+.f32 2 (/.f32 -2 x))))) 8)
(*.f32 4 (/.f32 (+.f32 2 (/.f32 -2 x)) -8))
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(.f32 (.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 4) 1/4)
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(.f32 1/2 (.f32 2 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))))
(log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))
(.f32 1/4 (.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 4))
(log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))
(.f32 (.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 1/2) 2)
(log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))
(*.f32 (/.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 4) 4)
(log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))
(/.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 1)
(log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))
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(log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))
(/.f32 (*.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 8) 8)
(log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))
(/.f32 (.f32 2 (.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 8)) 16)
(log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))
(/.f32 (+.f32 (.f32 2 (.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 8)) (.f32 2 (.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 8))) 32)
(log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))
(pow.f32 (log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x)))) 1)
(log1p.f32 (/.f32 -4 (+.f32 2 (/.f32 -2 x))))

localize69.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f32 (pow.f32 x 3) 2/3)

Compiler

Compiled 36 to 23 computations (36.1% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(*.f32 (pow.f32 x 3) 2/3)
0.0ms	x	@	-inf	(*.f32 (pow.f32 x 3) 2/3)
0.0ms	x	@	inf	(*.f32 (pow.f32 x 3) 2/3)

rewrite296.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

3520×	`rational.json-simplify-35`
1926×	`rational.json-simplify-2`
1152×	`rational.json-1`
1152×	`rational.json-2`
1152×	`rational.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	13
1	45	13
2	96	13
3	186	13
4	323	13
5	682	13
6	1652	13
7	2750	13
8	3313	13
9	3917	13
10	4645	13
11	5098	13
12	5098	13
13	5522	13
14	5522	13
15	5992	13
16	6787	13
17	7838	13

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(*.f32 (pow.f32 x 3) 2/3)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 x 3) 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (pow.f32 x 3) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 x 3) 1/3) (*.f32 (pow.f32 x 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 (pow.f32 x 3) 2/3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 3) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 3) 4/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 3) 8/3) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 3) 16/3) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (pow.f32 x 3) 16/3)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (pow.f32 x 3) 16/3))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (pow.f32 x 3) 16/3)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (pow.f32 x 3) 16/3))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (pow.f32 x 3) 16/3)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (pow.f32 x 3) 16/3))))))) 512)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (pow.f32 x 3) 16/3)))))))) 1024)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (pow.f32 x 3) 16/3))))))))) 2048)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (pow.f32 x 3) 16/3))))))))) (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (pow.f32 x 3) 16/3)))))))))) 4096)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 x 3) 2/3) 1)))))

simplify1.2s (9%)

Algorithm

1×	egg-herbie

Rules

6946×	`rational.json-simplify-51`
3638×	`rational.json-simplify-35`
1536×	`rational.json-simplify-2`
1192×	`rational.json-simplify-1`
800×	`rational.json-simplify-41`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	57	390
1	145	390
2	258	390
3	636	390
4	1514	390
5	3247	390
6	4345	390
7	4531	390
8	4603	390
9	4670	390
10	4733	390
11	4795	390
12	4910	390
13	4971	390
14	5032	390
15	5093	390
16	5155	390
17	5217	390
18	5279	390
19	5341	390
20	5341	390
21	5341	390
22	5403	390
23	5465	390
24	5527	390
25	5589	390
26	5651	390
27	5713	390
28	5775	390
29	5837	390
30	5899	390
31	5961	390
32	6023	390
33	6085	390
34	6147	390
35	6209	390
36	6271	390
37	6333	390

Stop Event

1×	node limit

Counts

30 → 19

Calls

Call 1

Inputs
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (*.f32 (pow.f32 x 3) 2/3) 0)
(+.f32 0 (*.f32 (pow.f32 x 3) 2/3))
(+.f32 (.f32 (pow.f32 x 3) 1/3) (.f32 (pow.f32 x 3) 1/3))
(-.f32 (*.f32 (pow.f32 x 3) 2/3) 0)
(/.f32 (*.f32 (pow.f32 x 3) 2/3) 1)
(/.f32 (*.f32 (pow.f32 x 3) 4/3) 2)
(/.f32 (*.f32 (pow.f32 x 3) 8/3) 4)
(/.f32 (*.f32 (pow.f32 x 3) 16/3) 8)
(/.f32 (.f32 2 (.f32 (pow.f32 x 3) 16/3)) 16)
(/.f32 (.f32 2 (.f32 2 (*.f32 (pow.f32 x 3) 16/3))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 x 3) 16/3)))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 (pow.f32 x 3) 16/3))))) 128)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 x 3) 16/3)))))) 256)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 (pow.f32 x 3) 16/3))))))) 512)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 x 3) 16/3)))))))) 1024)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 (pow.f32 x 3) 16/3))))))))) 2048)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 x 3) 16/3))))))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 x 3) 16/3)))))))))) 4096)
(pow.f32 (*.f32 (pow.f32 x 3) 2/3) 1)

Outputs
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (*.f32 (pow.f32 x 3) 2/3) 0)
(*.f32 2/3 (pow.f32 x 3))
(+.f32 0 (*.f32 (pow.f32 x 3) 2/3))
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (.f32 (pow.f32 x 3) 1/3) (.f32 (pow.f32 x 3) 1/3))
(*.f32 2/3 (pow.f32 x 3))
(-.f32 (*.f32 (pow.f32 x 3) 2/3) 0)
(*.f32 2/3 (pow.f32 x 3))
(/.f32 (*.f32 (pow.f32 x 3) 2/3) 1)
(*.f32 2/3 (pow.f32 x 3))
(/.f32 (*.f32 (pow.f32 x 3) 4/3) 2)
(*.f32 2/3 (pow.f32 x 3))
(/.f32 (*.f32 (pow.f32 x 3) 8/3) 4)
(*.f32 2/3 (pow.f32 x 3))
(/.f32 (*.f32 (pow.f32 x 3) 16/3) 8)
(*.f32 2/3 (pow.f32 x 3))
(/.f32 (.f32 2 (.f32 (pow.f32 x 3) 16/3)) 16)
(*.f32 2/3 (pow.f32 x 3))
(/.f32 (.f32 2 (.f32 2 (*.f32 (pow.f32 x 3) 16/3))) 32)
(*.f32 2/3 (pow.f32 x 3))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 x 3) 16/3)))) 64)
(*.f32 2/3 (pow.f32 x 3))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 (pow.f32 x 3) 16/3))))) 128)
(*.f32 2/3 (pow.f32 x 3))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 x 3) 16/3)))))) 256)
(*.f32 2/3 (pow.f32 x 3))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 (pow.f32 x 3) 16/3))))))) 512)
(*.f32 2/3 (pow.f32 x 3))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 x 3) 16/3)))))))) 1024)
(*.f32 2/3 (pow.f32 x 3))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 (pow.f32 x 3) 16/3))))))))) 2048)
(*.f32 2/3 (pow.f32 x 3))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 x 3) 16/3))))))))) (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 x 3) 16/3)))))))))) 4096)
(*.f32 2/3 (pow.f32 x 3))
(pow.f32 (*.f32 (pow.f32 x 3) 2/3) 1)
(*.f32 2/3 (pow.f32 x 3))

eval273.0ms (2.1%)

Compiler: Compiled 6667 to 5634 computations (15.5% saved)

prune70.0ms (0.5%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	417	4	421
Fresh	1	0	1
Picked	0	1	1
Done	1	4	5
Total	419	9	428

Error

Counts

428 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(.f32 1/2 (+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 x x)))
▶	0.2b	(.f32 1/2 (+.f32 (.f32 2 x) (+.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 2/5 (pow.f32 x 5)))))
✓	0.1b	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
▶	0.1b	(.f32 1/2 (log1p.f32 (/.f32 (neg.f32 (.f32 x 4)) (+.f32 x (+.f32 x -2)))))
▶	1.7b	(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 1 x))))
✓	0.2b	(*.f32 1/2 (log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x)))))
✓	1.6b	(*.f32 1/2 (log1p.f32 (+.f32 x x)))
▶	0.8b	(.f32 1/2 (log1p.f32 (.f32 (+.f32 (*.f32 2 x) 2) x)))
✓	32.0b	(*.f32 1/2 (log1p.f32 -2))

Compiler

Compiled 98 to 81 computations (17.3% saved)

localize65.0ms (0.5%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (.f32 (+.f32 (.f32 2 x) 2) x))
✓	0.0b	(.f32 (+.f32 (.f32 2 x) 2) x)

Compiler

Compiled 37 to 28 computations (24.3% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	x	@	inf	(log1p.f32 (.f32 (+.f32 (.f32 2 x) 2) x))
0.0ms	x	@	-inf	(.f32 (+.f32 (.f32 2 x) 2) x)
0.0ms	x	@	inf	(.f32 (+.f32 (.f32 2 x) 2) x)
0.0ms	x	@	0	(.f32 (+.f32 (.f32 2 x) 2) x)
0.0ms	x	@	0	(log1p.f32 (.f32 (+.f32 (.f32 2 x) 2) x))

rewrite201.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1858×	`rational.json-simplify-1`
1706×	`rational.json-simplify-35`
1446×	`exponential.json-3`
1446×	`rational.json-1`
1446×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	42
1	59	42
2	119	42
3	228	42
4	425	42
5	1005	42
6	2501	42
7	4559	42
8	5527	42
9	6834	42
10	7937	42
11	7937	42

Stop Event

1×	node limit

Counts

2 → 40

Calls

Call 1

Inputs
(.f32 (+.f32 (.f32 2 x) 2) x)
(log1p.f32 (.f32 (+.f32 (.f32 2 x) 2) x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 x (+.f32 x (+.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 x (*.f32 (+.f32 x (+.f32 2 x)) 1/2)) (*.f32 x (*.f32 (+.f32 x (+.f32 2 x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 x (+.f32 (*.f32 x 4) 4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 x (+.f32 2 x)) (*.f32 x 4)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1/2) (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/8 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1)))))

simplify186.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1206×	`rational.json-simplify-2`
1152×	`rational.json-simplify-35`
904×	`rational.json-simplify-1`
826×	`rational.json-simplify-61`
756×	`rational.json-simplify-51`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	130	1696
1	298	1630
2	753	1630
3	1944	1630
4	3548	1630
5	4549	1630
6	5235	1630
7	5748	1630
8	6608	1630
9	7822	1630

Stop Event

1×	node limit

Counts

64 → 89

Calls

Call 1

Inputs
(*.f32 2 x)
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(*.f32 2 (pow.f32 x 2))
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(*.f32 2 (pow.f32 x 2))
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 -4/3 (pow.f32 x 3)))
(+.f32 (.f32 2 x) (+.f32 (.f32 -4/3 (pow.f32 x 3)) (*.f32 2 (pow.f32 x 4))))
(+.f32 (.f32 -8/5 (pow.f32 x 5)) (+.f32 (.f32 2 x) (+.f32 (.f32 -4/3 (pow.f32 x 3)) (.f32 2 (pow.f32 x 4)))))
(+.f32 (log.f32 2) (*.f32 -2 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (+.f32 (*.f32 -2 (log.f32 (/.f32 1 x))) (/.f32 1 x)))
(-.f32 (+.f32 (log.f32 2) (+.f32 (.f32 -2 (log.f32 (/.f32 1 x))) (/.f32 1 x))) (.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 -2 (log.f32 (/.f32 1 x))) (/.f32 1 x)))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(+.f32 (log.f32 2) (*.f32 -2 (log.f32 (/.f32 -1 x))))
(+.f32 (*.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (/.f32 1 x)))
(-.f32 (+.f32 (.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (/.f32 1 x))) (.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(-.f32 (+.f32 (.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 4))) (/.f32 1 x)))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(+.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 0)
(+.f32 0 (*.f32 x (+.f32 x (+.f32 2 x))))
(+.f32 (.f32 x (.f32 (+.f32 x (+.f32 2 x)) 1/2)) (.f32 x (.f32 (+.f32 x (+.f32 2 x)) 1/2)))
(-.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 0)
(/.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 1)
(/.f32 (.f32 x (+.f32 (.f32 x 4) 4)) 2)
(/.f32 (.f32 (+.f32 x (+.f32 2 x)) (.f32 x 4)) 4)
(/.f32 (.f32 (.f32 x (+.f32 x (+.f32 2 x))) 8) 8)
(/.f32 (.f32 2 (.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 8)) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 x (+.f32 x (+.f32 2 x))) 8))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 8)))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 x (+.f32 x (+.f32 2 x))) 8))))) 128)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 8)))))) 256)
(pow.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 1)
(+.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0)
(+.f32 0 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))
(+.f32 (.f32 (log1p.f32 (.f32 x (+.f32 x (+.f32 2 x)))) 1/2) (.f32 (log1p.f32 (.f32 x (+.f32 x (+.f32 2 x)))) 1/2))
(-.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0)
(.f32 2 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1/2))
(.f32 (log1p.f32 (.f32 x (+.f32 x (+.f32 2 x)))) 1)
(.f32 1 (log1p.f32 (.f32 x (+.f32 x (+.f32 2 x)))))
(.f32 (.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) 1/2)
(.f32 4 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1/4))
(.f32 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 4) 1/4)
(.f32 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 8) 1/8)
(.f32 1/2 (.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(.f32 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1/2) 2)
(.f32 1/4 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 4))
(.f32 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1/4) 4)
(.f32 1/8 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 8))
(/.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1)
(/.f32 (.f32 2 (log1p.f32 (.f32 x (+.f32 x (+.f32 2 x))))) 2)
(/.f32 (.f32 (log1p.f32 (.f32 x (+.f32 x (+.f32 2 x)))) 4) 4)
(/.f32 (.f32 (log1p.f32 (.f32 x (+.f32 x (+.f32 2 x)))) 8) 8)
(/.f32 (.f32 2 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 8)) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (log1p.f32 (.f32 x (+.f32 x (+.f32 2 x)))) 8))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 8)))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (log1p.f32 (.f32 x (+.f32 x (+.f32 2 x)))) 8))))) 128)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 8)))))) 256)
(pow.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1)

Outputs
(*.f32 2 x)
(+.f32 x x)
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 (pow.f32 x 2) x))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 (pow.f32 x 2) x))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 (pow.f32 x 2) x))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(*.f32 2 (pow.f32 x 2))
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 (pow.f32 x 2) x))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 (pow.f32 x 2) x))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 (pow.f32 x 2) x))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(*.f32 2 (pow.f32 x 2))
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 (pow.f32 x 2) x))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 (pow.f32 x 2) x))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 (pow.f32 x 2) x))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(*.f32 2 x)
(+.f32 x x)
(+.f32 (.f32 2 x) (.f32 -4/3 (pow.f32 x 3)))
(+.f32 (*.f32 -4/3 (pow.f32 x 3)) (+.f32 x x))
(+.f32 x (+.f32 x (*.f32 -4/3 (pow.f32 x 3))))
(+.f32 (.f32 2 x) (+.f32 (.f32 -4/3 (pow.f32 x 3)) (*.f32 2 (pow.f32 x 4))))
(+.f32 (.f32 -4/3 (pow.f32 x 3)) (.f32 2 (+.f32 x (pow.f32 x 4))))
(+.f32 (.f32 -8/5 (pow.f32 x 5)) (+.f32 (.f32 2 x) (+.f32 (.f32 -4/3 (pow.f32 x 3)) (.f32 2 (pow.f32 x 4)))))
(+.f32 (.f32 2 x) (+.f32 (+.f32 (.f32 -4/3 (pow.f32 x 3)) (.f32 2 (pow.f32 x 4))) (.f32 -8/5 (pow.f32 x 5))))
(+.f32 (.f32 -4/3 (pow.f32 x 3)) (+.f32 (.f32 2 (+.f32 x (pow.f32 x 4))) (*.f32 -8/5 (pow.f32 x 5))))
(+.f32 (.f32 -4/3 (pow.f32 x 3)) (+.f32 (.f32 -8/5 (pow.f32 x 5)) (*.f32 2 (+.f32 x (pow.f32 x 4)))))
(+.f32 (log.f32 2) (*.f32 -2 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (+.f32 (*.f32 -2 (log.f32 (/.f32 1 x))) (/.f32 1 x)))
(+.f32 (log.f32 2) (+.f32 (/.f32 1 x) (*.f32 -2 (log.f32 (/.f32 1 x)))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (.f32 -2 (log.f32 (/.f32 1 x))) (/.f32 1 x))) (.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(+.f32 (+.f32 (/.f32 1 x) (.f32 -2 (log.f32 (/.f32 1 x)))) (-.f32 (log.f32 2) (.f32 1/6 (/.f32 1 (pow.f32 x 3)))))
(+.f32 (log.f32 2) (-.f32 (+.f32 (/.f32 1 x) (.f32 -2 (log.f32 (/.f32 1 x)))) (.f32 1/6 (/.f32 1 (pow.f32 x 3)))))
(+.f32 (log.f32 2) (+.f32 (.f32 -2 (log.f32 (/.f32 1 x))) (-.f32 (/.f32 1 x) (.f32 1/6 (/.f32 1 (pow.f32 x 3))))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 -2 (log.f32 (/.f32 1 x))) (/.f32 1 x)))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(+.f32 (+.f32 (+.f32 (/.f32 1 x) (.f32 -2 (log.f32 (/.f32 1 x)))) (.f32 1/8 (/.f32 1 (pow.f32 x 4)))) (-.f32 (log.f32 2) (*.f32 1/6 (/.f32 1 (pow.f32 x 3)))))
(+.f32 (log.f32 2) (-.f32 (+.f32 (/.f32 1 x) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 4))) (.f32 -2 (log.f32 (/.f32 1 x))))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3)))))
(+.f32 (log.f32 2) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 -2 (log.f32 (/.f32 1 x))) (-.f32 (/.f32 1 x) (*.f32 1/6 (/.f32 1 (pow.f32 x 3)))))))
(+.f32 (log.f32 2) (+.f32 (.f32 -2 (log.f32 (/.f32 1 x))) (+.f32 (-.f32 (/.f32 1 x) (.f32 1/6 (/.f32 1 (pow.f32 x 3)))) (*.f32 1/8 (/.f32 1 (pow.f32 x 4))))))
(+.f32 (log.f32 2) (*.f32 -2 (log.f32 (/.f32 -1 x))))
(+.f32 (*.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (/.f32 1 x)))
(+.f32 (log.f32 2) (+.f32 (/.f32 1 x) (*.f32 -2 (log.f32 (/.f32 -1 x)))))
(-.f32 (+.f32 (.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (/.f32 1 x))) (.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(+.f32 (+.f32 (log.f32 2) (/.f32 1 x)) (-.f32 (.f32 -2 (log.f32 (/.f32 -1 x))) (.f32 1/6 (/.f32 1 (pow.f32 x 3)))))
(+.f32 (.f32 -2 (log.f32 (/.f32 -1 x))) (-.f32 (+.f32 (log.f32 2) (/.f32 1 x)) (.f32 1/6 (/.f32 1 (pow.f32 x 3)))))
(+.f32 (log.f32 2) (+.f32 (/.f32 1 x) (-.f32 (.f32 -2 (log.f32 (/.f32 -1 x))) (.f32 1/6 (/.f32 1 (pow.f32 x 3))))))
(+.f32 (log.f32 2) (-.f32 (+.f32 (/.f32 1 x) (.f32 -2 (log.f32 (/.f32 -1 x)))) (.f32 1/6 (/.f32 1 (pow.f32 x 3)))))
(-.f32 (+.f32 (.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 4))) (/.f32 1 x)))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(+.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 4))) (+.f32 (log.f32 2) (/.f32 1 x))) (-.f32 (.f32 -2 (log.f32 (/.f32 -1 x))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3)))))
(+.f32 (+.f32 (log.f32 2) (+.f32 (/.f32 1 x) (.f32 1/8 (/.f32 1 (pow.f32 x 4))))) (-.f32 (.f32 -2 (log.f32 (/.f32 -1 x))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3)))))
(+.f32 (log.f32 2) (-.f32 (+.f32 (/.f32 1 x) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 4))) (.f32 -2 (log.f32 (/.f32 -1 x))))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3)))))
(+.f32 (log.f32 2) (+.f32 (.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 4))) (-.f32 (/.f32 1 x) (*.f32 1/6 (/.f32 1 (pow.f32 x 3)))))))
(+.f32 (log.f32 2) (+.f32 (/.f32 1 x) (-.f32 (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 4))) (.f32 -2 (log.f32 (/.f32 -1 x)))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3))))))
(+.f32 (log.f32 2) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 4))) (-.f32 (+.f32 (/.f32 1 x) (.f32 -2 (log.f32 (/.f32 -1 x)))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3))))))
(+.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 0)
(*.f32 x (+.f32 2 (+.f32 x x)))
(*.f32 x (+.f32 x (+.f32 2 x)))
(+.f32 0 (*.f32 x (+.f32 x (+.f32 2 x))))
(*.f32 x (+.f32 2 (+.f32 x x)))
(*.f32 x (+.f32 x (+.f32 2 x)))
(+.f32 (.f32 x (.f32 (+.f32 x (+.f32 2 x)) 1/2)) (.f32 x (.f32 (+.f32 x (+.f32 2 x)) 1/2)))
(*.f32 x (+.f32 2 (+.f32 x x)))
(*.f32 x (+.f32 x (+.f32 2 x)))
(-.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 0)
(*.f32 x (+.f32 2 (+.f32 x x)))
(*.f32 x (+.f32 x (+.f32 2 x)))
(/.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 1)
(*.f32 x (+.f32 2 (+.f32 x x)))
(*.f32 x (+.f32 x (+.f32 2 x)))
(/.f32 (.f32 x (+.f32 (.f32 x 4) 4)) 2)
(.f32 (+.f32 4 (.f32 x 4)) (/.f32 x 2))
(.f32 x (/.f32 (+.f32 4 (.f32 x 4)) 2))
(/.f32 (.f32 (+.f32 x (+.f32 2 x)) (.f32 x 4)) 4)
(*.f32 x (+.f32 2 (+.f32 x x)))
(*.f32 x (+.f32 x (+.f32 2 x)))
(/.f32 (.f32 (.f32 x (+.f32 x (+.f32 2 x))) 8) 8)
(*.f32 x (+.f32 2 (+.f32 x x)))
(*.f32 x (+.f32 x (+.f32 2 x)))
(/.f32 (.f32 2 (.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 8)) 16)
(*.f32 x (+.f32 2 (+.f32 x x)))
(*.f32 x (+.f32 x (+.f32 2 x)))
(/.f32 (.f32 2 (.f32 2 (.f32 (.f32 x (+.f32 x (+.f32 2 x))) 8))) 32)
(*.f32 x (+.f32 2 (+.f32 x x)))
(*.f32 x (+.f32 x (+.f32 2 x)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 8)))) 64)
(*.f32 x (+.f32 2 (+.f32 x x)))
(*.f32 x (+.f32 x (+.f32 2 x)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (.f32 x (+.f32 x (+.f32 2 x))) 8))))) 128)
(*.f32 x (+.f32 2 (+.f32 x x)))
(*.f32 x (+.f32 x (+.f32 2 x)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 8)))))) 256)
(*.f32 x (+.f32 2 (+.f32 x x)))
(*.f32 x (+.f32 x (+.f32 2 x)))
(pow.f32 (*.f32 x (+.f32 x (+.f32 2 x))) 1)
(*.f32 x (+.f32 2 (+.f32 x x)))
(*.f32 x (+.f32 x (+.f32 2 x)))
(+.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(+.f32 0 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(+.f32 (.f32 (log1p.f32 (.f32 x (+.f32 x (+.f32 2 x)))) 1/2) (.f32 (log1p.f32 (.f32 x (+.f32 x (+.f32 2 x)))) 1/2))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(-.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 0)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(.f32 2 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1/2))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(.f32 (log1p.f32 (.f32 x (+.f32 x (+.f32 2 x)))) 1)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(.f32 1 (log1p.f32 (.f32 x (+.f32 x (+.f32 2 x)))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(.f32 (.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))) 1/2)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(.f32 4 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1/4))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(.f32 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 4) 1/4)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(.f32 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 8) 1/8)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(.f32 1/2 (.f32 2 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(.f32 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1/2) 2)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(.f32 1/4 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 4))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(.f32 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1/4) 4)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(.f32 1/8 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 8))
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(/.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(/.f32 (.f32 2 (log1p.f32 (.f32 x (+.f32 x (+.f32 2 x))))) 2)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(/.f32 (.f32 (log1p.f32 (.f32 x (+.f32 x (+.f32 2 x)))) 4) 4)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(/.f32 (.f32 (log1p.f32 (.f32 x (+.f32 x (+.f32 2 x)))) 8) 8)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(/.f32 (.f32 2 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 8)) 16)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(/.f32 (.f32 2 (.f32 2 (.f32 (log1p.f32 (.f32 x (+.f32 x (+.f32 2 x)))) 8))) 32)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 8)))) 64)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (log1p.f32 (.f32 x (+.f32 x (+.f32 2 x)))) 8))))) 128)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 8)))))) 256)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))
(pow.f32 (log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x)))) 1)
(log1p.f32 (*.f32 x (+.f32 2 (+.f32 x x))))
(log1p.f32 (*.f32 x (+.f32 x (+.f32 2 x))))

localize29.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(/.f32 2 (/.f32 1 x))

Compiler

Compiled 27 to 22 computations (18.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	x	@	inf	(/.f32 2 (/.f32 1 x))
0.0ms	x	@	-inf	(/.f32 2 (/.f32 1 x))
0.0ms	x	@	0	(/.f32 2 (/.f32 1 x))

rewrite4.1s (32.1%)

Algorithm

1×	batch-egg-rewrite

Rules

1592×	`rational.json-1`
1592×	`rational.json-2`
1592×	`rational.json-4`
1592×	`rational.json-3`
1580×	`exponential.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	63	7
2	170	7
3	409	7
4	1688	7
5	5273	7

Stop Event

1×	node limit

Counts

1 → 31

Calls

Call 1

Inputs
(/.f32 2 (/.f32 1 x))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 x x)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 x x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x (+.f32 1 (*.f32 x (/.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 x) (*.f32 2 (*.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) (*.f32 x (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 x 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 x) (*.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x x) (/.f32 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x 4) (*.f32 (/.f32 1 x) (*.f32 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 2 x)) (*.f32 x (*.f32 x 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x 1/2) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x (*.f32 x 1/2)) (*.f32 2 (/.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (*.f32 x x)) (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x (/.f32 1 x)) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (*.f32 x (/.f32 1 x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (fabs.f32 x) (fabs.f32 x)) (*.f32 (/.f32 1 x) (fabs.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 x) (*.f32 x 1/2)) (*.f32 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 x) (fabs.f32 x)) (+.f32 (fabs.f32 x) (fabs.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (*.f32 2 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (+.f32 x x)))))))

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1236×	`rational.json-simplify-2`
872×	`rational.json-simplify-43`
852×	`rational.json-simplify-51`
616×	`rational.json-simplify-19`
588×	`rational.json-simplify-59`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	58	301
1	118	301
2	261	301
3	689	301
4	4577	301
5	7490	301

Stop Event

1×	node limit

Counts

43 → 31

Calls

Call 1

Inputs
(*.f32 2 x)
(*.f32 2 x)
(*.f32 2 x)
(*.f32 2 x)
(*.f32 2 x)
(*.f32 2 x)
(*.f32 2 x)
(*.f32 2 x)
(*.f32 2 x)
(*.f32 2 x)
(*.f32 2 x)
(*.f32 2 x)
(+.f32 x x)
(+.f32 0 (+.f32 x x))
(+.f32 (+.f32 x x) 0)
(-.f32 (+.f32 x x) 0)
(*.f32 2 x)
(*.f32 1 (+.f32 x x))
(*.f32 x 2)
(.f32 x (+.f32 1 (.f32 x (/.f32 1 x))))
(.f32 (/.f32 1 x) (.f32 2 (*.f32 x x)))
(*.f32 (+.f32 x x) 1)
(.f32 (+.f32 x x) (.f32 x (/.f32 1 x)))
(.f32 4 (.f32 x 1/2))
(.f32 (/.f32 2 x) (.f32 x x))
(.f32 1/2 (.f32 x 4))
(.f32 (.f32 x x) (/.f32 2 x))
(.f32 (.f32 x 4) 1/2)
(.f32 (.f32 x 4) (.f32 (/.f32 1 x) (.f32 x 1/2)))
(.f32 (.f32 2 (/.f32 2 x)) (.f32 x (.f32 x 1/2)))
(*.f32 (neg.f32 x) -2)
(*.f32 -2 (neg.f32 x))
(.f32 (.f32 x 1/2) 4)
(.f32 (.f32 x (.f32 x 1/2)) (.f32 2 (/.f32 2 x)))
(.f32 (.f32 2 (*.f32 x x)) (/.f32 1 x))
(.f32 (.f32 x (/.f32 1 x)) (+.f32 x x))
(.f32 (+.f32 1 (.f32 x (/.f32 1 x))) x)
(.f32 (+.f32 (fabs.f32 x) (fabs.f32 x)) (.f32 (/.f32 1 x) (fabs.f32 x)))
(.f32 (.f32 (/.f32 1 x) (.f32 x 1/2)) (.f32 x 4))
(.f32 (.f32 (/.f32 1 x) (fabs.f32 x)) (+.f32 (fabs.f32 x) (fabs.f32 x)))
(pow.f32 (+.f32 x x) 1)
(neg.f32 (*.f32 2 (neg.f32 x)))
(neg.f32 (neg.f32 (+.f32 x x)))

Outputs
(*.f32 2 x)
(+.f32 x x)
(*.f32 2 x)
(+.f32 x x)
(*.f32 2 x)
(+.f32 x x)
(*.f32 2 x)
(+.f32 x x)
(*.f32 2 x)
(+.f32 x x)
(*.f32 2 x)
(+.f32 x x)
(*.f32 2 x)
(+.f32 x x)
(*.f32 2 x)
(+.f32 x x)
(*.f32 2 x)
(+.f32 x x)
(*.f32 2 x)
(+.f32 x x)
(*.f32 2 x)
(+.f32 x x)
(*.f32 2 x)
(+.f32 x x)
(+.f32 x x)
(*.f32 2 x)
(+.f32 0 (+.f32 x x))
(*.f32 2 x)
(+.f32 x x)
(+.f32 (+.f32 x x) 0)
(*.f32 2 x)
(+.f32 x x)
(-.f32 (+.f32 x x) 0)
(*.f32 2 x)
(+.f32 x x)
(*.f32 2 x)
(+.f32 x x)
(*.f32 1 (+.f32 x x))
(*.f32 2 x)
(+.f32 x x)
(*.f32 x 2)
(*.f32 2 x)
(+.f32 x x)
(.f32 x (+.f32 1 (.f32 x (/.f32 1 x))))
(*.f32 2 x)
(+.f32 x x)
(.f32 (/.f32 1 x) (.f32 2 (*.f32 x x)))
(*.f32 2 x)
(+.f32 x x)
(*.f32 (+.f32 x x) 1)
(*.f32 2 x)
(+.f32 x x)
(.f32 (+.f32 x x) (.f32 x (/.f32 1 x)))
(*.f32 2 x)
(+.f32 x x)
(.f32 4 (.f32 x 1/2))
(*.f32 2 x)
(+.f32 x x)
(.f32 (/.f32 2 x) (.f32 x x))
(*.f32 2 x)
(+.f32 x x)
(.f32 1/2 (.f32 x 4))
(*.f32 2 x)
(+.f32 x x)
(.f32 (.f32 x x) (/.f32 2 x))
(*.f32 2 x)
(+.f32 x x)
(.f32 (.f32 x 4) 1/2)
(*.f32 2 x)
(+.f32 x x)
(.f32 (.f32 x 4) (.f32 (/.f32 1 x) (.f32 x 1/2)))
(*.f32 2 x)
(+.f32 x x)
(.f32 (.f32 2 (/.f32 2 x)) (.f32 x (.f32 x 1/2)))
(*.f32 2 x)
(+.f32 x x)
(*.f32 (neg.f32 x) -2)
(*.f32 2 x)
(+.f32 x x)
(*.f32 -2 (neg.f32 x))
(*.f32 2 x)
(+.f32 x x)
(.f32 (.f32 x 1/2) 4)
(*.f32 2 x)
(+.f32 x x)
(.f32 (.f32 x (.f32 x 1/2)) (.f32 2 (/.f32 2 x)))
(*.f32 2 x)
(+.f32 x x)
(.f32 (.f32 2 (*.f32 x x)) (/.f32 1 x))
(*.f32 2 x)
(+.f32 x x)
(.f32 (.f32 x (/.f32 1 x)) (+.f32 x x))
(*.f32 2 x)
(+.f32 x x)
(.f32 (+.f32 1 (.f32 x (/.f32 1 x))) x)
(*.f32 2 x)
(+.f32 x x)
(.f32 (+.f32 (fabs.f32 x) (fabs.f32 x)) (.f32 (/.f32 1 x) (fabs.f32 x)))
(*.f32 2 x)
(+.f32 x x)
(.f32 (.f32 (/.f32 1 x) (.f32 x 1/2)) (.f32 x 4))
(*.f32 2 x)
(+.f32 x x)
(.f32 (.f32 (/.f32 1 x) (fabs.f32 x)) (+.f32 (fabs.f32 x) (fabs.f32 x)))
(*.f32 2 x)
(+.f32 x x)
(pow.f32 (+.f32 x x) 1)
(*.f32 2 x)
(+.f32 x x)
(neg.f32 (*.f32 2 (neg.f32 x)))
(*.f32 2 x)
(+.f32 x x)
(neg.f32 (neg.f32 (+.f32 x x)))
(*.f32 2 x)
(+.f32 x x)

localize1.1s (8.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (/.f32 (neg.f32 (*.f32 x 4)) (+.f32 x (+.f32 x -2))))
✓	0.0b	(/.f32 (neg.f32 (*.f32 x 4)) (+.f32 x (+.f32 x -2)))
✓	0.1b	(+.f32 x (+.f32 x -2))

Compiler

Compiled 54 to 39 computations (27.8% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
0.0ms	x	@	0	(log1p.f32 (/.f32 (neg.f32 (*.f32 x 4)) (+.f32 x (+.f32 x -2))))
0.0ms	x	@	-inf	(log1p.f32 (/.f32 (neg.f32 (*.f32 x 4)) (+.f32 x (+.f32 x -2))))
0.0ms	x	@	inf	(log1p.f32 (/.f32 (neg.f32 (*.f32 x 4)) (+.f32 x (+.f32 x -2))))
0.0ms	x	@	0	(/.f32 (neg.f32 (*.f32 x 4)) (+.f32 x (+.f32 x -2)))
0.0ms	x	@	inf	(/.f32 (neg.f32 (*.f32 x 4)) (+.f32 x (+.f32 x -2)))

rewrite118.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

1850×	`rational.json-simplify-35`
1724×	`rational.json-1`
1724×	`rational.json-2`
1724×	`rational.json-3`
1014×	`rational.json-simplify-2`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	75
1	84	67
2	203	67
3	556	67
4	1796	67
5	3970	67
6	7095	67

Stop Event

1×	node limit

Counts

3 → 120

Calls

Call 1

Inputs
(+.f32 x (+.f32 x -2))
(/.f32 (neg.f32 (*.f32 x 4)) (+.f32 x (+.f32 x -2)))
(log1p.f32 (/.f32 (neg.f32 (*.f32 x 4)) (+.f32 x (+.f32 x -2))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 -2 (+.f32 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (neg.f32 (+.f32 -2 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 -2 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 -2 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (neg.f32 (+.f32 -2 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 -2 (+.f32 -2 (*.f32 x 4))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (+.f32 -2 (+.f32 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 -2 (+.f32 x x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (+.f32 -2 (+.f32 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (+.f32 -2 (+.f32 -2 (*.f32 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 -2 (+.f32 x x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (+.f32 -2 (+.f32 x x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 -2 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 -2 (+.f32 -2 (*.f32 x 4))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 -2 (+.f32 x x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 -2 (+.f32 x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 4 (+.f32 -2 (+.f32 -2 (*.f32 x 4)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -2 (+.f32 -2 (+.f32 x x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 -2 (+.f32 x x)) -4) -4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 4 (+.f32 -2 (+.f32 -2 (*.f32 x 4))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 4 (+.f32 -2 (+.f32 -2 (*.f32 x 4)))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 -2 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (neg.f32 (+.f32 -2 (+.f32 x x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (*.f32 x -2) (+.f32 -2 (+.f32 x x))) (/.f32 (*.f32 x -2) (+.f32 -2 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 x (*.f32 (+.f32 -2 (+.f32 x x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x (*.f32 (/.f32 1 (+.f32 -2 (+.f32 x x))) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x (*.f32 -8 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (/.f32 (+.f32 x x) (+.f32 -2 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (neg.f32 x) (+.f32 -2 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (*.f32 x -2) (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x 4) (/.f32 -1 (+.f32 -2 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x 4) (*.f32 -2 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x -4) (/.f32 1 (+.f32 -2 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 x (*.f32 (+.f32 -2 (+.f32 x x)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x -8) (/.f32 1/2 (+.f32 -2 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x -8) (*.f32 (/.f32 1 (+.f32 -2 (+.f32 x x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (*.f32 x -2) (+.f32 -2 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 1 (+.f32 -2 (+.f32 x x))) (*.f32 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (*.f32 x -2) (/.f32 1 (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (*.f32 (/.f32 1 (+.f32 -2 (+.f32 x x))) 1/2) (*.f32 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 1 (*.f32 (+.f32 -2 (+.f32 x x)) 4)) (*.f32 x -8)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 -2 (*.f32 (+.f32 -2 (+.f32 x x)) 4)) (*.f32 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 -2 (+.f32 -2 (+.f32 x x))) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (/.f32 2 (+.f32 -2 (+.f32 x x))) (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 x -8) (+.f32 -2 (+.f32 x x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x -16) (/.f32 1 (*.f32 (+.f32 -2 (+.f32 x x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x -16) (*.f32 1/2 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x 8) (/.f32 -2 (*.f32 (+.f32 -2 (+.f32 x x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x 8) (*.f32 -1 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) (/.f32 -2 (+.f32 -2 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) (*.f32 2 (/.f32 -1 (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) (*.f32 -2 (/.f32 1 (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x x) (*.f32 -4 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 x (*.f32 (+.f32 -2 (+.f32 x x)) 1/4)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 -2 (+.f32 x x))) (*.f32 x -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 x) (/.f32 4 (+.f32 -2 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 x) (*.f32 4 (/.f32 1 (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 x) (*.f32 8 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -4 (/.f32 x (+.f32 -2 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -4 (*.f32 (+.f32 x x) (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x 16) (*.f32 -1/2 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (*.f32 x -4) 8) (*.f32 1/4 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -8 (/.f32 x (+.f32 -2 (+.f32 -2 (*.f32 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -8 (*.f32 x (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x -2) (*.f32 2 (/.f32 1 (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x -2) (/.f32 2 (+.f32 -2 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x -2) (*.f32 4 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 x (+.f32 -2 (+.f32 x x))) -4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 4 (+.f32 -2 (+.f32 x x))) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (/.f32 (*.f32 x -8) (+.f32 -2 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (neg.f32 x) (+.f32 -2 (+.f32 x x))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -4 (+.f32 -2 (+.f32 x x))) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (+.f32 -2 (+.f32 x x))) (*.f32 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (+.f32 -2 (+.f32 x x))) (*.f32 x -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (/.f32 x (*.f32 -2 (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (*.f32 (neg.f32 x) (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 1 (+.f32 -2 (+.f32 x x)))) (*.f32 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 1 (+.f32 -2 (+.f32 x x)))) (*.f32 1/2 (*.f32 x -4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (+.f32 -2 (+.f32 x x))) -4) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 1 (+.f32 -2 (+.f32 x x))) 1/2) (*.f32 x -8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 4 (/.f32 1 (+.f32 -2 (+.f32 x x)))) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -16 (*.f32 (/.f32 x 2) (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 x -2) (+.f32 -2 (+.f32 x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (+.f32 -2 (+.f32 x x))) (*.f32 x -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -2 (*.f32 (+.f32 -2 (+.f32 x x)) 4)) (*.f32 x 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x x) (+.f32 -2 (+.f32 x x))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 x (+.f32 -2 (+.f32 -2 (*.f32 x 4)))) -8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 16 (*.f32 (/.f32 x -2) (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (+.f32 -2 (+.f32 x x)) 4)) (*.f32 x -16))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 x (*.f32 -2 (+.f32 -2 (+.f32 x x)))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -2 (+.f32 -2 (+.f32 x x))) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 -1 (+.f32 -2 (+.f32 x x)))) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 x (*.f32 (+.f32 -2 (+.f32 x x)) 1/4)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 2) (/.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 4 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 4 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 4 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 4 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))))) (*.f32 2 (*.f32 2 (*.f32 4 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 1)))))

simplify140.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

1000×	`rational.json-simplify-43`
960×	`rational.json-simplify-49`
958×	`rational.json-simplify-41`
834×	`rational.json-simplify-46`
798×	`rational.json-simplify-2`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	271	3880
1	580	3790
2	1496	3766
3	5255	3766
4	7637	3766

Stop Event

1×	node limit

Counts

156 → 181

Calls

Call 1

Inputs
-2
(-.f32 (*.f32 2 x) 2)
(-.f32 (*.f32 2 x) 2)
(-.f32 (*.f32 2 x) 2)
(*.f32 2 x)
(-.f32 (*.f32 2 x) 2)
(-.f32 (*.f32 2 x) 2)
(-.f32 (*.f32 2 x) 2)
(*.f32 2 x)
(-.f32 (*.f32 2 x) 2)
(-.f32 (*.f32 2 x) 2)
(-.f32 (*.f32 2 x) 2)
(*.f32 2 x)
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (.f32 2/7 (pow.f32 x 7)) (+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(-.f32 (+.f32 -2 (+.f32 x x)) 0)
(-.f32 0 (neg.f32 (+.f32 -2 (+.f32 x x))))
(*.f32 (+.f32 -2 (+.f32 x x)) 1)
(*.f32 1 (+.f32 -2 (+.f32 x x)))
(*.f32 -1 (neg.f32 (+.f32 -2 (+.f32 x x))))
(.f32 (+.f32 -2 (+.f32 -2 (.f32 x 4))) 1/2)
(*.f32 2 (/.f32 (+.f32 -2 (+.f32 x x)) 2))
(.f32 (.f32 (+.f32 -2 (+.f32 x x)) 4) 1/4)
(*.f32 (neg.f32 (+.f32 -2 (+.f32 x x))) -1)
(.f32 1/2 (+.f32 -2 (+.f32 -2 (.f32 x 4))))
(*.f32 (/.f32 (+.f32 -2 (+.f32 x x)) 2) 2)
(.f32 1/4 (.f32 (+.f32 -2 (+.f32 x x)) 4))
(/.f32 (+.f32 -2 (+.f32 x x)) 1)
(/.f32 (+.f32 -2 (+.f32 -2 (*.f32 x 4))) 2)
(/.f32 (*.f32 (+.f32 -2 (+.f32 x x)) 4) 4)
(/.f32 (neg.f32 (+.f32 -2 (+.f32 x x))) -1)
(/.f32 (.f32 4 (+.f32 -2 (+.f32 -2 (.f32 x 4)))) 8)
(/.f32 (*.f32 -2 (+.f32 -2 (+.f32 x x))) -2)
(/.f32 (*.f32 (+.f32 -2 (+.f32 x x)) -4) -4)
(/.f32 (.f32 2 (.f32 4 (+.f32 -2 (+.f32 -2 (*.f32 x 4))))) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 4 (+.f32 -2 (+.f32 -2 (.f32 x 4)))))) 32)
(pow.f32 (+.f32 -2 (+.f32 x x)) 1)
(neg.f32 (neg.f32 (+.f32 -2 (+.f32 x x))))
(+.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))) 0)
(+.f32 0 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))
(+.f32 -1 (-.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))) -1))
(+.f32 (-.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))) -1) -1)
(+.f32 (/.f32 (.f32 x -2) (+.f32 -2 (+.f32 x x))) (/.f32 (.f32 x -2) (+.f32 -2 (+.f32 x x))))
(-.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))) 0)
(-.f32 0 (/.f32 x (*.f32 (+.f32 -2 (+.f32 x x)) 1/4)))
(-.f32 (-.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))) -1) 1)
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 x (.f32 (/.f32 1 (+.f32 -2 (+.f32 x x))) -4))
(.f32 x (.f32 -8 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(*.f32 -2 (/.f32 (+.f32 x x) (+.f32 -2 (+.f32 x x))))
(*.f32 4 (/.f32 (neg.f32 x) (+.f32 -2 (+.f32 x x))))
(.f32 4 (.f32 (*.f32 x -2) (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(.f32 (.f32 x 4) (/.f32 -1 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 x 4) (*.f32 -2 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(.f32 (.f32 x -4) (/.f32 1 (+.f32 -2 (+.f32 x x))))
(.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x))) 1)
(.f32 1 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x))))
(.f32 -1 (/.f32 x (.f32 (+.f32 -2 (+.f32 x x)) 1/4)))
(.f32 (.f32 x -8) (/.f32 1/2 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 x -8) (*.f32 (/.f32 1 (+.f32 -2 (+.f32 x x))) 1/2))
(.f32 2 (/.f32 (.f32 x -2) (+.f32 -2 (+.f32 x x))))
(.f32 2 (.f32 (/.f32 1 (+.f32 -2 (+.f32 x x))) (*.f32 x -2)))
(.f32 2 (.f32 (*.f32 x -2) (/.f32 1 (+.f32 -2 (+.f32 x x)))))
(.f32 2 (.f32 (.f32 (/.f32 1 (+.f32 -2 (+.f32 x x))) 1/2) (.f32 x -4)))
(.f32 2 (.f32 (/.f32 1 (.f32 (+.f32 -2 (+.f32 x x)) 4)) (.f32 x -8)))
(.f32 2 (.f32 (/.f32 -2 (.f32 (+.f32 -2 (+.f32 x x)) 4)) (.f32 x 4)))
(.f32 2 (.f32 (/.f32 -2 (+.f32 -2 (+.f32 x x))) x))
(.f32 2 (.f32 (/.f32 2 (+.f32 -2 (+.f32 x x))) (neg.f32 x)))
(.f32 (/.f32 (.f32 x -8) (+.f32 -2 (+.f32 x x))) 1/2)
(.f32 (.f32 x -16) (/.f32 1 (*.f32 (+.f32 -2 (+.f32 x x)) 4)))
(.f32 (.f32 x -16) (*.f32 1/2 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(.f32 (.f32 x 8) (/.f32 -2 (*.f32 (+.f32 -2 (+.f32 x x)) 4)))
(.f32 (.f32 x 8) (*.f32 -1 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(*.f32 (+.f32 x x) (/.f32 -2 (+.f32 -2 (+.f32 x x))))
(.f32 (+.f32 x x) (.f32 2 (/.f32 -1 (+.f32 -2 (+.f32 x x)))))
(.f32 (+.f32 x x) (.f32 -2 (/.f32 1 (+.f32 -2 (+.f32 x x)))))
(.f32 (+.f32 x x) (.f32 -4 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(.f32 (/.f32 x (.f32 (+.f32 -2 (+.f32 x x)) 1/4)) -1)
(.f32 (/.f32 1 (+.f32 -2 (+.f32 x x))) (.f32 x -4))
(*.f32 (neg.f32 x) (/.f32 4 (+.f32 -2 (+.f32 x x))))
(.f32 (neg.f32 x) (.f32 4 (/.f32 1 (+.f32 -2 (+.f32 x x)))))
(.f32 (neg.f32 x) (.f32 8 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(*.f32 -4 (/.f32 x (+.f32 -2 (+.f32 x x))))
(.f32 -4 (.f32 (+.f32 x x) (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(.f32 (.f32 x 16) (*.f32 -1/2 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(.f32 (.f32 (.f32 x -4) 8) (.f32 1/4 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(.f32 -8 (/.f32 x (+.f32 -2 (+.f32 -2 (.f32 x 4)))))
(.f32 -8 (.f32 x (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(.f32 (.f32 x -2) (*.f32 2 (/.f32 1 (+.f32 -2 (+.f32 x x)))))
(.f32 (.f32 x -2) (/.f32 2 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 x -2) (*.f32 4 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(*.f32 (/.f32 x (+.f32 -2 (+.f32 x x))) -4)
(*.f32 (/.f32 4 (+.f32 -2 (+.f32 x x))) (neg.f32 x))
(.f32 1/2 (/.f32 (.f32 x -8) (+.f32 -2 (+.f32 x x))))
(*.f32 (/.f32 (neg.f32 x) (+.f32 -2 (+.f32 x x))) 4)
(*.f32 (/.f32 -4 (+.f32 -2 (+.f32 x x))) x)
(.f32 (/.f32 -1 (+.f32 -2 (+.f32 x x))) (.f32 x 4))
(.f32 (/.f32 1/2 (+.f32 -2 (+.f32 x x))) (.f32 x -8))
(.f32 8 (/.f32 x (.f32 -2 (+.f32 -2 (+.f32 x x)))))
(.f32 8 (.f32 (neg.f32 x) (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(.f32 (.f32 2 (/.f32 1 (+.f32 -2 (+.f32 x x)))) (*.f32 x -2))
(.f32 (.f32 2 (/.f32 1 (+.f32 -2 (+.f32 x x)))) (.f32 1/2 (.f32 x -4)))
(.f32 (.f32 (/.f32 1 (+.f32 -2 (+.f32 x x))) -4) x)
(.f32 (.f32 (/.f32 1 (+.f32 -2 (+.f32 x x))) 1/2) (*.f32 x -8))
(.f32 (.f32 4 (/.f32 1 (+.f32 -2 (+.f32 x x)))) (neg.f32 x))
(.f32 -16 (.f32 (/.f32 x 2) (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(.f32 (/.f32 (.f32 x -2) (+.f32 -2 (+.f32 x x))) 2)
(.f32 (/.f32 2 (+.f32 -2 (+.f32 x x))) (.f32 x -2))
(.f32 (/.f32 -2 (.f32 (+.f32 -2 (+.f32 x x)) 4)) (*.f32 x 8))
(*.f32 (/.f32 (+.f32 x x) (+.f32 -2 (+.f32 x x))) -2)
(.f32 (/.f32 x (+.f32 -2 (+.f32 -2 (.f32 x 4)))) -8)
(.f32 16 (.f32 (/.f32 x -2) (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(.f32 (/.f32 1 (.f32 (+.f32 -2 (+.f32 x x)) 4)) (*.f32 x -16))
(.f32 (/.f32 x (.f32 -2 (+.f32 -2 (+.f32 x x)))) 8)
(*.f32 (/.f32 -2 (+.f32 -2 (+.f32 x x))) (+.f32 x x))
(.f32 (.f32 2 (/.f32 -1 (+.f32 -2 (+.f32 x x)))) (+.f32 x x))
(pow.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))) 1)
(neg.f32 (/.f32 x (*.f32 (+.f32 -2 (+.f32 x x)) 1/4)))
(+.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 0)
(+.f32 0 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))))
(+.f32 (/.f32 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x)))) 2) (/.f32 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x)))) 2))
(-.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 0)
(.f32 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x)))) 1)
(.f32 1 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x)))))
(.f32 2 (/.f32 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x)))) 2))
(.f32 (.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 2) 1/2)
(.f32 1/2 (.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 2))
(.f32 (/.f32 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x)))) 2) 2)
(/.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 1)
(/.f32 (.f32 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x)))) 2) 2)
(/.f32 (.f32 4 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x))))) 4)
(/.f32 (.f32 2 (.f32 4 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))))) 8)
(/.f32 (.f32 2 (.f32 2 (.f32 4 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x))))))) 16)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 4 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x))))))) (.f32 2 (.f32 2 (.f32 4 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x)))))))) 32)
(pow.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 1)

Outputs
-2
(-.f32 (*.f32 2 x) 2)
(-.f32 (+.f32 x x) 2)
(-.f32 (*.f32 2 x) 2)
(-.f32 (+.f32 x x) 2)
(-.f32 (*.f32 2 x) 2)
(-.f32 (+.f32 x x) 2)
(*.f32 2 x)
(+.f32 x x)
(-.f32 (*.f32 2 x) 2)
(-.f32 (+.f32 x x) 2)
(-.f32 (*.f32 2 x) 2)
(-.f32 (+.f32 x x) 2)
(-.f32 (*.f32 2 x) 2)
(-.f32 (+.f32 x x) 2)
(*.f32 2 x)
(+.f32 x x)
(-.f32 (*.f32 2 x) 2)
(-.f32 (+.f32 x x) 2)
(-.f32 (*.f32 2 x) 2)
(-.f32 (+.f32 x x) 2)
(-.f32 (*.f32 2 x) 2)
(-.f32 (+.f32 x x) 2)
(*.f32 2 x)
(+.f32 x x)
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 2)))
(*.f32 2 (+.f32 (pow.f32 x 2) x))
(*.f32 2 (+.f32 x (pow.f32 x 2)))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 x) (*.f32 2 (pow.f32 x 3))))
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 (+.f32 (pow.f32 x 3) x)))
(*.f32 2 (+.f32 (pow.f32 x 3) (+.f32 x (pow.f32 x 2))))
(*.f32 2 (+.f32 x (+.f32 (pow.f32 x 2) (pow.f32 x 3))))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 4)))))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 x) (+.f32 (.f32 2 (pow.f32 x 4)) (.f32 2 (pow.f32 x 3)))))
(+.f32 (.f32 2 (+.f32 (pow.f32 x 4) x)) (+.f32 (.f32 2 (pow.f32 x 2)) (*.f32 2 (pow.f32 x 3))))
(+.f32 (.f32 2 x) (.f32 2 (+.f32 (pow.f32 x 2) (+.f32 (pow.f32 x 3) (pow.f32 x 4)))))
(+.f32 (+.f32 x x) (*.f32 2 (+.f32 (pow.f32 x 3) (+.f32 (pow.f32 x 4) (pow.f32 x 2)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 (pow.f32 x 2)) (/.f32 1 x)))))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 x) (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 3))) (*.f32 2 (/.f32 1 x))))))
(neg.f32 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 2 (.f32 2 (+.f32 (/.f32 1 (pow.f32 x 3)) (/.f32 1 (pow.f32 x 2)))))))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 x) (+.f32 (/.f32 1 (pow.f32 x 2)) (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 (pow.f32 x 3)) (+.f32 (/.f32 1 x) (/.f32 1 (pow.f32 x 2)))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 (pow.f32 x 2)) (/.f32 1 x)))))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 x) (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 3))) (*.f32 2 (/.f32 1 x))))))
(neg.f32 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 2 (.f32 2 (+.f32 (/.f32 1 (pow.f32 x 3)) (/.f32 1 (pow.f32 x 2)))))))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 x) (+.f32 (/.f32 1 (pow.f32 x 2)) (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 2 (*.f32 2 (+.f32 (/.f32 1 (pow.f32 x 3)) (+.f32 (/.f32 1 x) (/.f32 1 (pow.f32 x 2)))))))
(*.f32 2 x)
(+.f32 x x)
(+.f32 (.f32 2 x) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2 x) (.f32 (pow.f32 x 3) 2/3))
(+.f32 (*.f32 (pow.f32 x 3) 2/3) (+.f32 x x))
(+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (.f32 2 x) (+.f32 (.f32 (pow.f32 x 3) 2/3) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 (.f32 2/5 (pow.f32 x 5)) (+.f32 x x)))
(+.f32 (.f32 2/7 (pow.f32 x 7)) (+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))))
(+.f32 (.f32 2 x) (+.f32 (+.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 2/5 (pow.f32 x 5))) (.f32 2/7 (pow.f32 x 7))))
(+.f32 (.f32 2 x) (+.f32 (.f32 2/5 (pow.f32 x 5)) (+.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 2/7 (pow.f32 x 7)))))
(+.f32 (+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 x x)) (+.f32 (.f32 2/5 (pow.f32 x 5)) (*.f32 2/7 (pow.f32 x 7))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (*.f32 2 (/.f32 1 x)) (log.f32 -1))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (.f32 (/.f32 1 (pow.f32 x 3)) 2/3)))
(+.f32 (+.f32 (.f32 2 (/.f32 1 x)) (log.f32 -1)) (.f32 (/.f32 1 (pow.f32 x 3)) 2/3))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (log.f32 -1) (+.f32 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2/5 (/.f32 1 (pow.f32 x 5)))) (*.f32 (/.f32 1 (pow.f32 x 3)) 2/3)))
(+.f32 (log.f32 -1) (+.f32 (.f32 (/.f32 1 (pow.f32 x 3)) 2/3) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 (/.f32 1 (pow.f32 x 3)) 2/3) (+.f32 (log.f32 -1) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (log.f32 -1) (+.f32 (.f32 (/.f32 1 (pow.f32 x 3)) 2/3) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (*.f32 2 (/.f32 1 x)) (log.f32 -1))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (.f32 (/.f32 1 (pow.f32 x 3)) 2/3)))
(+.f32 (+.f32 (.f32 2 (/.f32 1 x)) (log.f32 -1)) (.f32 (/.f32 1 (pow.f32 x 3)) 2/3))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (log.f32 -1) (+.f32 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2/5 (/.f32 1 (pow.f32 x 5)))) (*.f32 (/.f32 1 (pow.f32 x 3)) 2/3)))
(+.f32 (log.f32 -1) (+.f32 (.f32 (/.f32 1 (pow.f32 x 3)) 2/3) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 (/.f32 1 (pow.f32 x 3)) 2/3) (+.f32 (log.f32 -1) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (log.f32 -1) (+.f32 (.f32 (/.f32 1 (pow.f32 x 3)) 2/3) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(-.f32 (+.f32 -2 (+.f32 x x)) 0)
(+.f32 -2 (+.f32 x x))
(-.f32 0 (neg.f32 (+.f32 -2 (+.f32 x x))))
(+.f32 -2 (+.f32 x x))
(*.f32 (+.f32 -2 (+.f32 x x)) 1)
(+.f32 -2 (+.f32 x x))
(*.f32 1 (+.f32 -2 (+.f32 x x)))
(+.f32 -2 (+.f32 x x))
(*.f32 -1 (neg.f32 (+.f32 -2 (+.f32 x x))))
(+.f32 -2 (+.f32 x x))
(.f32 (+.f32 -2 (+.f32 -2 (.f32 x 4))) 1/2)
(.f32 (+.f32 (.f32 x 4) -4) 1/2)
(*.f32 2 (/.f32 (+.f32 -2 (+.f32 x x)) 2))
(+.f32 -2 (+.f32 x x))
(.f32 (.f32 (+.f32 -2 (+.f32 x x)) 4) 1/4)
(+.f32 -2 (+.f32 x x))
(*.f32 (neg.f32 (+.f32 -2 (+.f32 x x))) -1)
(+.f32 -2 (+.f32 x x))
(.f32 1/2 (+.f32 -2 (+.f32 -2 (.f32 x 4))))
(.f32 (+.f32 -2 (+.f32 -2 (.f32 x 4))) 1/2)
(.f32 (+.f32 (.f32 x 4) -4) 1/2)
(*.f32 (/.f32 (+.f32 -2 (+.f32 x x)) 2) 2)
(+.f32 -2 (+.f32 x x))
(.f32 1/4 (.f32 (+.f32 -2 (+.f32 x x)) 4))
(+.f32 -2 (+.f32 x x))
(/.f32 (+.f32 -2 (+.f32 x x)) 1)
(+.f32 -2 (+.f32 x x))
(/.f32 (+.f32 -2 (+.f32 -2 (*.f32 x 4))) 2)
(/.f32 (+.f32 (*.f32 x 4) -4) 2)
(/.f32 (*.f32 (+.f32 -2 (+.f32 x x)) 4) 4)
(+.f32 -2 (+.f32 x x))
(/.f32 (neg.f32 (+.f32 -2 (+.f32 x x))) -1)
(+.f32 -2 (+.f32 x x))
(/.f32 (.f32 4 (+.f32 -2 (+.f32 -2 (.f32 x 4)))) 8)
(.f32 (+.f32 -2 (+.f32 -2 (.f32 x 4))) 1/2)
(.f32 (+.f32 (.f32 x 4) -4) 1/2)
(/.f32 (*.f32 -2 (+.f32 -2 (+.f32 x x))) -2)
(+.f32 -2 (+.f32 x x))
(/.f32 (*.f32 (+.f32 -2 (+.f32 x x)) -4) -4)
(+.f32 -2 (+.f32 x x))
(/.f32 (.f32 2 (.f32 4 (+.f32 -2 (+.f32 -2 (*.f32 x 4))))) 16)
(.f32 (+.f32 -2 (+.f32 -2 (.f32 x 4))) 1/2)
(.f32 (+.f32 (.f32 x 4) -4) 1/2)
(/.f32 (.f32 2 (.f32 2 (.f32 4 (+.f32 -2 (+.f32 -2 (.f32 x 4)))))) 32)
(.f32 (+.f32 -2 (+.f32 -2 (.f32 x 4))) 1/2)
(.f32 (+.f32 (.f32 x 4) -4) 1/2)
(pow.f32 (+.f32 -2 (+.f32 x x)) 1)
(+.f32 -2 (+.f32 x x))
(neg.f32 (neg.f32 (+.f32 -2 (+.f32 x x))))
(+.f32 -2 (+.f32 x x))
(+.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))) 0)
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(+.f32 0 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(+.f32 -1 (-.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))) -1))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(+.f32 (-.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))) -1) -1)
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(+.f32 (/.f32 (.f32 x -2) (+.f32 -2 (+.f32 x x))) (/.f32 (.f32 x -2) (+.f32 -2 (+.f32 x x))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(-.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))) 0)
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(-.f32 0 (/.f32 x (*.f32 (+.f32 -2 (+.f32 x x)) 1/4)))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(-.f32 (-.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))) -1) 1)
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(.f32 x (.f32 (/.f32 1 (+.f32 -2 (+.f32 x x))) -4))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 x (.f32 -8 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(*.f32 -2 (/.f32 (+.f32 x x) (+.f32 -2 (+.f32 x x))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(*.f32 4 (/.f32 (neg.f32 x) (+.f32 -2 (+.f32 x x))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 4 (.f32 (*.f32 x -2) (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 x 4) (/.f32 -1 (+.f32 -2 (+.f32 x x))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 x 4) (*.f32 -2 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 x -4) (/.f32 1 (+.f32 -2 (+.f32 x x))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x))) 1)
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 1 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 -1 (/.f32 x (.f32 (+.f32 -2 (+.f32 x x)) 1/4)))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 x -8) (/.f32 1/2 (+.f32 -2 (+.f32 x x))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 x -8) (*.f32 (/.f32 1 (+.f32 -2 (+.f32 x x))) 1/2))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 2 (/.f32 (.f32 x -2) (+.f32 -2 (+.f32 x x))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 2 (.f32 (/.f32 1 (+.f32 -2 (+.f32 x x))) (*.f32 x -2)))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 2 (.f32 (*.f32 x -2) (/.f32 1 (+.f32 -2 (+.f32 x x)))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 2 (.f32 (.f32 (/.f32 1 (+.f32 -2 (+.f32 x x))) 1/2) (.f32 x -4)))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 2 (.f32 (/.f32 1 (.f32 (+.f32 -2 (+.f32 x x)) 4)) (.f32 x -8)))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 2 (.f32 (/.f32 -2 (.f32 (+.f32 -2 (+.f32 x x)) 4)) (.f32 x 4)))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 2 (.f32 (/.f32 -2 (+.f32 -2 (+.f32 x x))) x))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 2 (.f32 (/.f32 2 (+.f32 -2 (+.f32 x x))) (neg.f32 x)))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (/.f32 (.f32 x -8) (+.f32 -2 (+.f32 x x))) 1/2)
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 x -16) (/.f32 1 (*.f32 (+.f32 -2 (+.f32 x x)) 4)))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 x -16) (*.f32 1/2 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 x 8) (/.f32 -2 (*.f32 (+.f32 -2 (+.f32 x x)) 4)))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 x 8) (*.f32 -1 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(*.f32 (+.f32 x x) (/.f32 -2 (+.f32 -2 (+.f32 x x))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (+.f32 x x) (.f32 2 (/.f32 -1 (+.f32 -2 (+.f32 x x)))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (+.f32 x x) (.f32 -2 (/.f32 1 (+.f32 -2 (+.f32 x x)))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (+.f32 x x) (.f32 -4 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (/.f32 x (.f32 (+.f32 -2 (+.f32 x x)) 1/4)) -1)
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (/.f32 1 (+.f32 -2 (+.f32 x x))) (.f32 x -4))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(*.f32 (neg.f32 x) (/.f32 4 (+.f32 -2 (+.f32 x x))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (neg.f32 x) (.f32 4 (/.f32 1 (+.f32 -2 (+.f32 x x)))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (neg.f32 x) (.f32 8 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(*.f32 -4 (/.f32 x (+.f32 -2 (+.f32 x x))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 -4 (.f32 (+.f32 x x) (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 x 16) (*.f32 -1/2 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 (.f32 x -4) 8) (.f32 1/4 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 -8 (/.f32 x (+.f32 -2 (+.f32 -2 (.f32 x 4)))))
(.f32 -8 (/.f32 x (+.f32 (.f32 x 4) -4)))
(.f32 -8 (.f32 x (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 x -2) (*.f32 2 (/.f32 1 (+.f32 -2 (+.f32 x x)))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 x -2) (/.f32 2 (+.f32 -2 (+.f32 x x))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 x -2) (*.f32 4 (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(*.f32 (/.f32 x (+.f32 -2 (+.f32 x x))) -4)
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(*.f32 (/.f32 4 (+.f32 -2 (+.f32 x x))) (neg.f32 x))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 1/2 (/.f32 (.f32 x -8) (+.f32 -2 (+.f32 x x))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(*.f32 (/.f32 (neg.f32 x) (+.f32 -2 (+.f32 x x))) 4)
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(*.f32 (/.f32 -4 (+.f32 -2 (+.f32 x x))) x)
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (/.f32 -1 (+.f32 -2 (+.f32 x x))) (.f32 x 4))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (/.f32 1/2 (+.f32 -2 (+.f32 x x))) (.f32 x -8))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 8 (/.f32 x (.f32 -2 (+.f32 -2 (+.f32 x x)))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 8 (.f32 (neg.f32 x) (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 2 (/.f32 1 (+.f32 -2 (+.f32 x x)))) (*.f32 x -2))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 2 (/.f32 1 (+.f32 -2 (+.f32 x x)))) (.f32 1/2 (.f32 x -4)))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 (/.f32 1 (+.f32 -2 (+.f32 x x))) -4) x)
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 (/.f32 1 (+.f32 -2 (+.f32 x x))) 1/2) (*.f32 x -8))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 4 (/.f32 1 (+.f32 -2 (+.f32 x x)))) (neg.f32 x))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 -16 (.f32 (/.f32 x 2) (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(.f32 -16 (.f32 (/.f32 1/2 (+.f32 -2 (+.f32 x x))) (/.f32 x 2)))
(.f32 (/.f32 1/2 (+.f32 -2 (+.f32 x x))) (.f32 (/.f32 x 2) -16))
(.f32 (/.f32 1/2 (+.f32 -2 (+.f32 x x))) (.f32 -16 (/.f32 x 2)))
(.f32 (/.f32 (.f32 x -2) (+.f32 -2 (+.f32 x x))) 2)
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (/.f32 2 (+.f32 -2 (+.f32 x x))) (.f32 x -2))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (/.f32 -2 (.f32 (+.f32 -2 (+.f32 x x)) 4)) (*.f32 x 8))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(*.f32 (/.f32 (+.f32 x x) (+.f32 -2 (+.f32 x x))) -2)
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (/.f32 x (+.f32 -2 (+.f32 -2 (.f32 x 4)))) -8)
(.f32 -8 (/.f32 x (+.f32 -2 (+.f32 -2 (.f32 x 4)))))
(.f32 -8 (/.f32 x (+.f32 (.f32 x 4) -4)))
(.f32 16 (.f32 (/.f32 x -2) (/.f32 1/2 (+.f32 -2 (+.f32 x x)))))
(.f32 16 (.f32 (/.f32 1/2 (+.f32 -2 (+.f32 x x))) (/.f32 x -2)))
(.f32 (/.f32 1/2 (+.f32 -2 (+.f32 x x))) (.f32 (/.f32 x -2) 16))
(.f32 (/.f32 1 (.f32 (+.f32 -2 (+.f32 x x)) 4)) (*.f32 x -16))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (/.f32 x (.f32 -2 (+.f32 -2 (+.f32 x x)))) 8)
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(*.f32 (/.f32 -2 (+.f32 -2 (+.f32 x x))) (+.f32 x x))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(.f32 (.f32 2 (/.f32 -1 (+.f32 -2 (+.f32 x x)))) (+.f32 x x))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(pow.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))) 1)
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(neg.f32 (/.f32 x (*.f32 (+.f32 -2 (+.f32 x x)) 1/4)))
(/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))
(*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x))))
(+.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 0)
(log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))
(log1p.f32 (*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x)))))
(+.f32 0 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))))
(log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))
(log1p.f32 (*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x)))))
(+.f32 (/.f32 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x)))) 2) (/.f32 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x)))) 2))
(log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))
(log1p.f32 (*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x)))))
(-.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 0)
(log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))
(log1p.f32 (*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x)))))
(.f32 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x)))) 1)
(log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))
(log1p.f32 (*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x)))))
(.f32 1 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x)))))
(log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))
(log1p.f32 (*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x)))))
(.f32 2 (/.f32 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x)))) 2))
(log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))
(log1p.f32 (*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x)))))
(.f32 (.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 2) 1/2)
(log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))
(log1p.f32 (*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x)))))
(.f32 1/2 (.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 2))
(log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))
(log1p.f32 (*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x)))))
(.f32 (/.f32 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x)))) 2) 2)
(log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))
(log1p.f32 (*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x)))))
(/.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 1)
(log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))
(log1p.f32 (*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x)))))
(/.f32 (.f32 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x)))) 2) 2)
(log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))
(log1p.f32 (*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x)))))
(/.f32 (.f32 4 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x))))) 4)
(log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))
(log1p.f32 (*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x)))))
(/.f32 (.f32 2 (.f32 4 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))))) 8)
(log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))
(log1p.f32 (*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x)))))
(/.f32 (.f32 2 (.f32 2 (.f32 4 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x))))))) 16)
(log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))
(log1p.f32 (*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x)))))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 4 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x))))))) (.f32 2 (.f32 2 (.f32 4 (log1p.f32 (/.f32 (.f32 x -4) (+.f32 -2 (+.f32 x x)))))))) 32)
(log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))
(log1p.f32 (*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x)))))
(pow.f32 (log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x)))) 1)
(log1p.f32 (/.f32 (*.f32 x -4) (+.f32 -2 (+.f32 x x))))
(log1p.f32 (*.f32 x (/.f32 -4 (+.f32 -2 (+.f32 x x)))))

localize122.0ms (1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 2/5 (pow.f32 x 5)))
✓	0.0b	(*.f32 2/5 (pow.f32 x 5))
	0.1b	(*.f32 (pow.f32 x 3) 2/3)

Compiler

Compiled 70 to 56 computations (20% saved)

series4.0ms (0%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(*.f32 2/5 (pow.f32 x 5))
1.0ms	x	@	0	(*.f32 2/5 (pow.f32 x 5))
0.0ms	x	@	inf	(+.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 2/5 (pow.f32 x 5)))
0.0ms	x	@	-inf	(*.f32 2/5 (pow.f32 x 5))
0.0ms	x	@	0	(+.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 2/5 (pow.f32 x 5)))

rewrite190.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

1750×	`rational.json-simplify-35`
1656×	`rational.json-simplify-1`
1354×	`exponential.json-3`
1354×	`rational.json-1`
1354×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	77	44
2	143	44
3	271	44
4	495	44
5	1100	44
6	2916	44
7	4640	44
8	5362	44
9	6692	44
10	7568	44
11	7568	44

Stop Event

1×	node limit

Counts

2 → 36

Calls

Call 1

Inputs
(*.f32 2/5 (pow.f32 x 5))
(+.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 2/5 (pow.f32 x 5)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 2/5 (pow.f32 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 2/5 (pow.f32 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 x 5) 1/5) (*.f32 (pow.f32 x 5) 1/5))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 2/5 (pow.f32 x 5)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2/5 (pow.f32 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 5) 4/5) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 5) 8/5) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 5) 16/5) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (pow.f32 x 5) 16/5)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (pow.f32 x 5) 16/5))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (pow.f32 x 5) 16/5)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (pow.f32 x 5) 16/5))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (pow.f32 x 5) 16/5)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 2/5 (pow.f32 x 5)) 1)))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (+.f32 (*.f32 (pow.f32 x 3) 1/3) (*.f32 (pow.f32 x 5) 1/5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 (pow.f32 x 3) 4/3) (*.f32 (pow.f32 x 5) 4/5)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 1/2 (+.f32 (*.f32 (pow.f32 x 3) 1/3) (*.f32 (pow.f32 x 5) 1/5))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (+.f32 (*.f32 (pow.f32 x 3) 4/3) (*.f32 (pow.f32 x 5) 4/5)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (*.f32 (pow.f32 x 3) 1/3) (*.f32 (pow.f32 x 5) 1/5)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (+.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 1/2 (+.f32 (*.f32 (pow.f32 x 3) 1/3) (*.f32 (pow.f32 x 5) 1/5))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 (pow.f32 x 3) 4/3) (*.f32 (pow.f32 x 5) 4/5)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (+.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (+.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (+.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 8))))) 128)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 2 (*.f32 (+.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 8)))))) 256)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 1)))))

simplify303.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

4508×	`rational.json-simplify-41`
2106×	`rational.json-simplify-35`
1154×	`rational.json-simplify-2`
816×	`rational.json-simplify-51`
658×	`rational.json-simplify-1`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	91	1206
1	201	1206
2	416	1206
3	1316	1206
4	2961	1206
5	3677	1206
6	3802	1206
7	3910	1206
8	4011	1206
9	4086	1206
10	4160	1206
11	4234	1206
12	4308	1206
13	4382	1206
14	4456	1206
15	4530	1206
16	4604	1206
17	4678	1206
18	4678	1206

Stop Event

1×	node limit

Counts

48 → 41

Calls

Call 1

Inputs
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(*.f32 2/5 (pow.f32 x 5))
(+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))
(+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))
(+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))
(*.f32 2/5 (pow.f32 x 5))
(+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))
(+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))
(+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))
(+.f32 (*.f32 2/5 (pow.f32 x 5)) 0)
(+.f32 0 (*.f32 2/5 (pow.f32 x 5)))
(+.f32 (.f32 (pow.f32 x 5) 1/5) (.f32 (pow.f32 x 5) 1/5))
(-.f32 (*.f32 2/5 (pow.f32 x 5)) 0)
(/.f32 (*.f32 2/5 (pow.f32 x 5)) 1)
(/.f32 (*.f32 (pow.f32 x 5) 4/5) 2)
(/.f32 (*.f32 (pow.f32 x 5) 8/5) 4)
(/.f32 (*.f32 (pow.f32 x 5) 16/5) 8)
(/.f32 (.f32 2 (.f32 (pow.f32 x 5) 16/5)) 16)
(/.f32 (.f32 2 (.f32 2 (*.f32 (pow.f32 x 5) 16/5))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 x 5) 16/5)))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 (pow.f32 x 5) 16/5))))) 128)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 x 5) 16/5)))))) 256)
(pow.f32 (*.f32 2/5 (pow.f32 x 5)) 1)
(-.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 (pow.f32 x 3) 2/3)) 0)
(.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 1)
(.f32 1 (+.f32 (.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)))
(.f32 2 (+.f32 (.f32 (pow.f32 x 3) 1/3) (*.f32 (pow.f32 x 5) 1/5)))
(.f32 (+.f32 (.f32 (pow.f32 x 3) 4/3) (*.f32 (pow.f32 x 5) 4/5)) 1/2)
(.f32 4 (.f32 1/2 (+.f32 (.f32 (pow.f32 x 3) 1/3) (.f32 (pow.f32 x 5) 1/5))))
(.f32 (.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 (pow.f32 x 3) 2/3)) 4) 1/4)
(.f32 (.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 (pow.f32 x 3) 2/3)) 8) 1/8)
(.f32 1/2 (+.f32 (.f32 (pow.f32 x 3) 4/3) (*.f32 (pow.f32 x 5) 4/5)))
(.f32 (+.f32 (.f32 (pow.f32 x 3) 1/3) (*.f32 (pow.f32 x 5) 1/5)) 2)
(.f32 1/4 (.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 (pow.f32 x 3) 2/3)) 4))
(.f32 (.f32 1/2 (+.f32 (.f32 (pow.f32 x 3) 1/3) (.f32 (pow.f32 x 5) 1/5))) 4)
(/.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 (pow.f32 x 3) 2/3)) 1)
(/.f32 (+.f32 (.f32 (pow.f32 x 3) 4/3) (.f32 (pow.f32 x 5) 4/5)) 2)
(/.f32 (.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 4) 4)
(/.f32 (.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 8) 8)
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 (pow.f32 x 3) 2/3)) 8)) 16)
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 8))) 32)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 (pow.f32 x 3) 2/3)) 8)))) 64)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 8))))) 128)
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 (pow.f32 x 3) 2/3)) 8)))))) 256)
(pow.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 (pow.f32 x 3) 2/3)) 1)

Outputs
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(*.f32 2/5 (pow.f32 x 5))
(+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(*.f32 2/5 (pow.f32 x 5))
(+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (*.f32 2/5 (pow.f32 x 5)) 0)
(*.f32 2/5 (pow.f32 x 5))
(+.f32 0 (*.f32 2/5 (pow.f32 x 5)))
(*.f32 2/5 (pow.f32 x 5))
(+.f32 (.f32 (pow.f32 x 5) 1/5) (.f32 (pow.f32 x 5) 1/5))
(*.f32 2/5 (pow.f32 x 5))
(-.f32 (*.f32 2/5 (pow.f32 x 5)) 0)
(*.f32 2/5 (pow.f32 x 5))
(/.f32 (*.f32 2/5 (pow.f32 x 5)) 1)
(*.f32 2/5 (pow.f32 x 5))
(/.f32 (*.f32 (pow.f32 x 5) 4/5) 2)
(*.f32 2/5 (pow.f32 x 5))
(/.f32 (*.f32 (pow.f32 x 5) 8/5) 4)
(*.f32 2/5 (pow.f32 x 5))
(/.f32 (*.f32 (pow.f32 x 5) 16/5) 8)
(*.f32 2/5 (pow.f32 x 5))
(/.f32 (.f32 2 (.f32 (pow.f32 x 5) 16/5)) 16)
(*.f32 2/5 (pow.f32 x 5))
(/.f32 (.f32 2 (.f32 2 (*.f32 (pow.f32 x 5) 16/5))) 32)
(*.f32 2/5 (pow.f32 x 5))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 x 5) 16/5)))) 64)
(*.f32 2/5 (pow.f32 x 5))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (*.f32 (pow.f32 x 5) 16/5))))) 128)
(*.f32 2/5 (pow.f32 x 5))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (pow.f32 x 5) 16/5)))))) 256)
(*.f32 2/5 (pow.f32 x 5))
(pow.f32 (*.f32 2/5 (pow.f32 x 5)) 1)
(*.f32 2/5 (pow.f32 x 5))
(-.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 (pow.f32 x 3) 2/3)) 0)
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 1)
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(.f32 1 (+.f32 (.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(.f32 2 (+.f32 (.f32 (pow.f32 x 3) 1/3) (*.f32 (pow.f32 x 5) 1/5)))
(.f32 2 (+.f32 (.f32 (pow.f32 x 5) 1/5) (*.f32 (pow.f32 x 3) 1/3)))
(.f32 (+.f32 (.f32 (pow.f32 x 3) 4/3) (*.f32 (pow.f32 x 5) 4/5)) 1/2)
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(.f32 4 (.f32 1/2 (+.f32 (.f32 (pow.f32 x 3) 1/3) (.f32 (pow.f32 x 5) 1/5))))
(.f32 2 (+.f32 (.f32 (pow.f32 x 5) 1/5) (*.f32 (pow.f32 x 3) 1/3)))
(.f32 (.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 (pow.f32 x 3) 2/3)) 4) 1/4)
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(.f32 (.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 (pow.f32 x 3) 2/3)) 8) 1/8)
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(.f32 1/2 (+.f32 (.f32 (pow.f32 x 3) 4/3) (*.f32 (pow.f32 x 5) 4/5)))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(.f32 (+.f32 (.f32 (pow.f32 x 3) 1/3) (*.f32 (pow.f32 x 5) 1/5)) 2)
(.f32 2 (+.f32 (.f32 (pow.f32 x 5) 1/5) (*.f32 (pow.f32 x 3) 1/3)))
(.f32 1/4 (.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 (pow.f32 x 3) 2/3)) 4))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(.f32 (.f32 1/2 (+.f32 (.f32 (pow.f32 x 3) 1/3) (.f32 (pow.f32 x 5) 1/5))) 4)
(.f32 2 (+.f32 (.f32 (pow.f32 x 5) 1/5) (*.f32 (pow.f32 x 3) 1/3)))
(/.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 (pow.f32 x 3) 2/3)) 1)
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(/.f32 (+.f32 (.f32 (pow.f32 x 3) 4/3) (.f32 (pow.f32 x 5) 4/5)) 2)
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(/.f32 (.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 4) 4)
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(/.f32 (.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 8) 8)
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(/.f32 (.f32 2 (.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 (pow.f32 x 3) 2/3)) 8)) 16)
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(/.f32 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 8))) 32)
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 (pow.f32 x 3) 2/3)) 8)))) 64)
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (*.f32 (pow.f32 x 3) 2/3)) 8))))) 128)
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(/.f32 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 2 (.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 (pow.f32 x 3) 2/3)) 8)))))) 256)
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(pow.f32 (+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 (pow.f32 x 3) 2/3)) 1)
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))

eval362.0ms (2.8%)

Compiler: Compiled 6090 to 4860 computations (20.2% saved)

prune213.0ms (1.7%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	361	0	361
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	361	9	370

Error

Counts

370 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.3b	(.f32 1/2 (+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 x x)))
✓	0.2b	(.f32 1/2 (+.f32 (.f32 2 x) (+.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 2/5 (pow.f32 x 5)))))
✓	0.1b	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
✓	0.1b	(.f32 1/2 (log1p.f32 (/.f32 (neg.f32 (.f32 x 4)) (+.f32 x (+.f32 x -2)))))
✓	1.7b	(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 1 x))))
✓	0.2b	(*.f32 1/2 (log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x)))))
✓	1.6b	(*.f32 1/2 (log1p.f32 (+.f32 x x)))
✓	0.8b	(.f32 1/2 (log1p.f32 (.f32 (+.f32 (*.f32 2 x) 2) x)))
✓	32.0b	(*.f32 1/2 (log1p.f32 -2))

Compiler

Compiled 98 to 81 computations (17.3% saved)

regimes215.0ms (1.7%)

Counts

11 → 1

Calls

Call 1

Inputs
(*.f32 1/2 (log1p.f32 -2))
(*.f32 1/2 (log1p.f32 (+.f32 x x)))
(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 1 x))))
(.f32 1/2 (log1p.f32 (.f32 (+.f32 (*.f32 2 x) 2) x)))
(.f32 1/2 (log1p.f32 (.f32 (/.f32 2 (-.f32 1 x)) x)))
(*.f32 1/2 (log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x)))))
(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
(.f32 1/2 (+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 x x)))
(.f32 1/2 (log1p.f32 (/.f32 (neg.f32 (.f32 x 4)) (+.f32 x (+.f32 x -2)))))
(.f32 1/2 (+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))))
(.f32 1/2 (+.f32 (.f32 2 x) (+.f32 (.f32 (pow.f32 x 3) 2/3) (.f32 2/5 (pow.f32 x 5)))))

Outputs
(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))

Calls

4 calls:

188.0ms	x
11.0ms	(/.f32 (*.f32 2 x) (-.f32 1 x))
7.0ms	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
7.0ms	(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))

Results

Error	Segments	Branch
0.1b	1	`x`
0.1b	1	`(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))`
0.1b	1	`(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))`
0.1b	1	`(/.f32 (*.f32 2 x) (-.f32 1 x))`

Compiler

Compiled 147 to 117 computations (20.4% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

Inputs
(*.f32 1/2 (log1p.f32 -2))
(*.f32 1/2 (log1p.f32 (+.f32 x x)))
(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 1 x))))
(.f32 1/2 (log1p.f32 (.f32 (+.f32 (*.f32 2 x) 2) x)))
(.f32 1/2 (log1p.f32 (.f32 (/.f32 2 (-.f32 1 x)) x)))
(*.f32 1/2 (log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x)))))

Outputs
(.f32 1/2 (log1p.f32 (.f32 (/.f32 2 (-.f32 1 x)) x)))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.1b	1	`x`

Compiler

Compiled 51 to 42 computations (17.6% saved)

regimes6.0ms (0%)

Counts

4 → 1

Calls

Call 1

Inputs
(*.f32 1/2 (log1p.f32 -2))
(*.f32 1/2 (log1p.f32 (+.f32 x x)))
(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 1 x))))
(.f32 1/2 (log1p.f32 (.f32 (+.f32 (*.f32 2 x) 2) x)))

Outputs
(.f32 1/2 (log1p.f32 (.f32 (+.f32 (*.f32 2 x) 2) x)))

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.8b	1	`x`

Compiler

Compiled 31 to 25 computations (19.4% saved)

regimes4.0ms (0%)

Accuracy

Total -30.4b remaining (-1876.4%)

Threshold costs -30.4b (-1876.4%)

Counts

3 → 1

Calls

Call 1

Inputs
(*.f32 1/2 (log1p.f32 -2))
(*.f32 1/2 (log1p.f32 (+.f32 x x)))
(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 1 x))))

Outputs
(*.f32 1/2 (log1p.f32 (+.f32 x x)))

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
1.6b	1	`x`

Compiler

Compiled 21 to 17 computations (19% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	26	115

Stop Event

1×	done
1×	saturated

Calls

Call 1

Inputs
(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
(.f32 1/2 (log1p.f32 (.f32 (/.f32 2 (-.f32 1 x)) x)))
(.f32 1/2 (log1p.f32 (.f32 (+.f32 (*.f32 2 x) 2) x)))
(*.f32 1/2 (log1p.f32 (+.f32 x x)))
(*.f32 1/2 (log1p.f32 -2))

Outputs
(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
(.f32 1/2 (log1p.f32 (.f32 (/.f32 2 (-.f32 1 x)) x)))
(.f32 1/2 (log1p.f32 (.f32 (+.f32 (*.f32 2 x) 2) x)))
(*.f32 1/2 (log1p.f32 (+.f32 x x)))
(*.f32 1/2 (log1p.f32 -2))

Compiler

Compiled 45 to 37 computations (17.8% saved)

soundness0.0ms (0%)

end375.0ms (2.9%)

Compiler: Compiled 41 to 33 computations (19.5% saved)

Details

analyze6.0ms (0.1%)

sample1.7s (13%)

preprocess11.0ms (0.1%)

simplify156.0ms (1.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize151.0ms (1.2%)

series2.0ms (0%)

rewrite111.0ms (0.9%)

simplify133.0ms (1%)

eval55.0ms (0.4%)

prune79.0ms (0.6%)

localize74.0ms (0.6%)

series1.0ms (0%)

rewrite85.0ms (0.7%)

simplify166.0ms (1.3%)

localize11.0ms (0.1%)

localize18.0ms (0.1%)

localize87.0ms (0.7%)

series1.0ms (0%)

rewrite152.0ms (1.2%)

simplify94.0ms (0.7%)

localize69.0ms (0.5%)

series1.0ms (0%)

rewrite296.0ms (2.3%)

simplify1.2s (9%)

eval273.0ms (2.1%)

prune70.0ms (0.5%)

localize65.0ms (0.5%)

series2.0ms (0%)

rewrite201.0ms (1.6%)

simplify186.0ms (1.5%)

localize29.0ms (0.2%)

series1.0ms (0%)

rewrite4.1s (32.1%)

simplify101.0ms (0.8%)

localize1.1s (8.9%)

series1.0ms (0%)

rewrite118.0ms (0.9%)

simplify140.0ms (1.1%)

localize122.0ms (1%)

series4.0ms (0%)

rewrite190.0ms (1.5%)

simplify303.0ms (2.4%)

eval362.0ms (2.8%)

prune213.0ms (1.7%)

regimes215.0ms (1.7%)

regimes6.0ms (0.1%)

regimes6.0ms (0%)

regimes4.0ms (0%)

simplify3.0ms (0%)

soundness0.0ms (0%)

end375.0ms (2.9%)

Profiling