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)

sample3.1s (25%)

Results

3.1s

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)

simplify155.0ms (1.3%)

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)

localize35.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))
✓	0.1b	(/.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	@	inf	(/.f32 (*.f32 2 x) (-.f32 1 x))
0.0ms	x	@	0	(/.f32 (*.f32 2 x) (-.f32 1 x))

rewrite84.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

1562×	`bool.json-1`
1562×	`bool.json-2`
1516×	`rational.json-1`
1516×	`rational.json-2`
1156×	`bool.json-3`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	122	42
2	393	42
3	944	42
4	2490	42
5	5802	42

Stop Event

1×	node limit

Counts

2 → 62

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 x (/.f32 2 (-.f32 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 x (/.f32 2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (/.f32 2 (+.f32 (/.f32 -1 x) 1))))))) (#(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 x (/.f32 2 (-.f32 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 2 (+.f32 (/.f32 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 x (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 x (/.f32 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 (+.f32 x x) (+.f32 (/.f32 1/2 (-.f32 1 x)) (/.f32 1/2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 x (/.f32 2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 x (/.f32 2 (-.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 -1 (/.f32 2 (+.f32 (/.f32 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 x 4) (-.f32 1 x)) 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 1/4 (/.f32 1 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (.f32 x (/.f32 1/2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (.f32 (/.f32 1 (-.f32 1 x)) (.f32 x 1/2)))))) (#(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 8 (.f32 (/.f32 x 4) (/.f32 1 (-.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 (/.f32 2 (+.f32 (/.f32 -1 x) 1)) -1)))) (#(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 x (/.f32 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 1/2 (/.f32 (.f32 x 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 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 (/.f32 1 (-.f32 1 x)) (.f32 x 1/2)) 4)))) (#(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 (/.f32 1/2 (-.f32 1 x)) (/.f32 1/2 (-.f32 1 x))) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 x (/.f32 2 (-.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 2 (+.f32 (/.f32 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (.f32 x (/.f32 2 (-.f32 1 x))) (.f32 x (/.f32 2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (.f32 x (/.f32 2 (-.f32 1 x))) (.f32 x (/.f32 2 (-.f32 1 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 2 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 4)) (.f32 2 (.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 x (/.f32 2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (/.f32 2 (+.f32 (/.f32 -1 x) 1))))))) (#(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 x (/.f32 2 (-.f32 1 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (/.f32 2 (+.f32 (/.f32 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 x (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x (/.f32 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 (+.f32 x x) (+.f32 (/.f32 1/2 (-.f32 1 x)) (/.f32 1/2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 x (/.f32 2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x (/.f32 2 (-.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 -1 (/.f32 2 (+.f32 (/.f32 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 x 4) (-.f32 1 x)) 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 1/4 (/.f32 1 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 x (/.f32 1/2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (/.f32 1 (-.f32 1 x)) (*.f32 x 1/2)))))) (#(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 8 (*.f32 (/.f32 x 4) (/.f32 1 (-.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 (/.f32 2 (+.f32 (/.f32 -1 x) 1)) -1)))) (#(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 x (/.f32 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 1/2 (/.f32 (*.f32 x 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 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 (/.f32 1 (-.f32 1 x)) (*.f32 x 1/2)) 4)))) (#(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 (/.f32 1/2 (-.f32 1 x)) (/.f32 1/2 (-.f32 1 x))) (+.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 2 (+.f32 (/.f32 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f32 x (/.f32 2 (-.f32 1 x))) (*.f32 x (/.f32 2 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f32 x (/.f32 2 (-.f32 1 x))) (*.f32 x (/.f32 2 (-.f32 1 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 2 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 4)) (*.f32 2 (*.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))))

simplify181.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

1300×	`rational.json-simplify-61`
1056×	`rational.json-simplify-51`
1002×	`rational.json-simplify-2`
998×	`rational.json-simplify-1`
966×	`rational.json-simplify-35`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	170	2086
1	363	2044
2	738	2020
3	1442	2014
4	3139	2014
5	5559	2014
6	7457	2014

Stop Event

1×	node limit

Counts

86 → 115

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

eval35.0ms (0.3%)

Compiler: Compiled 1693 to 1416 computations (16.4% saved)

prune50.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	110	5	115
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	110	6	116

Error

0.0b

Counts

116 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(.f32 1/2 (+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 x x)))
✓	0.1b	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
▶	2.1b	(*.f32 1/2 (log1p.f32 (+.f32 x x)))
▶	0.1b	(.f32 1/2 (log1p.f32 (.f32 (/.f32 2 (-.f32 1 x)) x)))
▶	0.3b	(*.f32 1/2 (log1p.f32 (neg.f32 (/.f32 2 (+.f32 (/.f32 -1 x) 1)))))
▶	32.0b	(*.f32 1/2 (log1p.f32 -2))

Compiler

Compiled 105 to 87 computations (17.1% saved)

localize62.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))
✓	0.1b	(/.f32 2 (-.f32 1 x))
✓	0.1b	(*.f32 (/.f32 2 (-.f32 1 x)) 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	@	-inf	(*.f32 (/.f32 2 (-.f32 1 x)) x)
0.0ms	x	@	inf	(/.f32 2 (-.f32 1 x))
0.0ms	x	@	0	(*.f32 (/.f32 2 (-.f32 1 x)) x)
0.0ms	x	@	-inf	(/.f32 2 (-.f32 1 x))

rewrite77.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1426×	`rational.json-simplify-35`
1206×	`bool.json-1`
1206×	`bool.json-2`
1162×	`rational.json-1`
1162×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	122	55
2	363	55
3	760	55
4	1572	55
5	4037	55

Stop Event

1×	node limit

Counts

3 → 103

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (-.f32 (/.f32 -2 (+.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 (/.f32 -2 (+.f32 x -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 -2 (+.f32 x -1)) (.f32 (-.f32 1 x) (/.f32 -2 (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2) 0)))) (#(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 x (.f32 (+.f32 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 4 (-.f32 (/.f32 2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -2 (+.f32 (/.f32 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -2 (+.f32 (/.f32 (+.f32 x -1) (+.f32 x x)) (/.f32 (+.f32 x -1) (+.f32 x 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 (-.f32 (/.f32 -4 (+.f32 x -1)) 4) 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 (+.f32 x -2)) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -4 (+.f32 (+.f32 (/.f32 -1 x) 1) (+.f32 (/.f32 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 16 (+.f32 (.f32 2 (-.f32 (/.f32 2 x) 2)) (.f32 2 (-.f32 (/.f32 2 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 16 (+.f32 (/.f32 (.f32 (-.f32 1 x) 4) x) (/.f32 (.f32 (-.f32 1 x) 4) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 -8 (+.f32 (/.f32 (+.f32 x (+.f32 x -2)) x) (/.f32 (+.f32 x (+.f32 x -2)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 4 (-.f32 (/.f32 1/2 x) 1/2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 x 4) (.f32 -2 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (/.f32 4 (-.f32 (/.f32 1/2 x) 1/2))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 x 4)) (.f32 (-.f32 1 x) 4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 x 4)) (.f32 8 (.f32 (+.f32 x -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 x 1/2) (/.f32 (+.f32 x -1) -4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 x (-.f32 1 x)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 x) (neg.f32 (.f32 (+.f32 x -1) -1/2)))))) (#(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 2 (/.f32 4 (-.f32 (/.f32 1/2 x) 1/2)))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (neg.f32 x)) (.f32 2 (neg.f32 (.f32 (+.f32 x -1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 x 4))) (.f32 (-.f32 1 x) 8))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 x 4))) (+.f32 (.f32 8 (.f32 (+.f32 x -1) -1/2)) (.f32 8 (.f32 (+.f32 x -1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 2 (.f32 x 4)) (.f32 (+.f32 x -1) -1/2)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 x (.f32 -2 (+.f32 x -1))) 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 (neg.f32 x)) (.f32 (+.f32 x -1) -1/2))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -2 (+.f32 x -1)) 0)))) (#(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 1 x)) (/.f32 1 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 -2 (+.f32 x -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 1 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 -2 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 x) (/.f32 1 (.f32 (-.f32 1 x) (.f32 (+.f32 x -1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -2 (+.f32 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 (/.f32 -2 (+.f32 x -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 -2 (+.f32 x -1)) (/.f32 1/2 (.f32 (-.f32 1 x) (.f32 (+.f32 x -1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -1 (/.f32 (+.f32 x -1) (.f32 (-.f32 1 x) (.f32 (+.f32 x -1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -4 (+.f32 x -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (+.f32 x -1) -1/2) (/.f32 2 (.f32 (-.f32 1 x) (.f32 (+.f32 x -1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (/.f32 -4 (+.f32 x -1))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (/.f32 -4 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (-.f32 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (.f32 2 (/.f32 -4 (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (/.f32 (.f32 -2 (+.f32 x -1)) (.f32 (-.f32 1 x) (/.f32 (+.f32 x -1) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 x -1) -4) (/.f32 2 (.f32 (-.f32 1 x) (/.f32 (+.f32 x -1) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 -2 (+.f32 x -1)) (.f32 (-.f32 1 x) (/.f32 (+.f32 x -1) -4))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (/.f32 -2 (+.f32 x -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (+.f32 x -1) (.f32 (-.f32 1 x) (.f32 (+.f32 x -1) -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (.f32 (-.f32 1 x) (/.f32 (+.f32 x -1) -4))) (/.f32 (+.f32 x -1) -4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (.f32 (-.f32 1 x) (.f32 (+.f32 x -1) -1/2))) (.f32 (+.f32 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (.f32 (-.f32 1 x) (.f32 (+.f32 x -1) -1/2))) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1/2 (.f32 (-.f32 1 x) (.f32 (+.f32 x -1) -1/2))) (.f32 -2 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 -2 (+.f32 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (+.f32 x -1) (.f32 (-.f32 1 x) (.f32 (+.f32 x -1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 2 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 -2 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f32 -2 (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f32 -2 (+.f32 x -1)) (/.f32 -2 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f32 -2 (+.f32 x -1)) (/.f32 -2 (+.f32 x -1)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 1/2) (.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 4 (/.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/2 (.f32 2 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1/4 (.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 (.f32 2 (.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 4))) (.f32 2 (.f32 2 (*.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)))))))

Outputs

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(neg.f32 x)) (*.f32 (+.f32 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 x (*.f32 -2 (+.f32 x -1))) (/.f32 x (*.f32 -2 (+.f32 x -1)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (/.f32 4 (-.f32 (/.f32 1/2 x) 1/2)))) (*.f32 2 (*.f32 2 (/.f32 4 (-.f32 (/.f32 1/2 x) 1/2))))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (neg.f32 x)) (*.f32 2 (neg.f32 x))) (+.f32 (*.f32 2 (neg.f32 (*.f32 (+.f32 x -1) -1/2))) (*.f32 2 (neg.f32 (*.f32 (+.f32 x -1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 (*.f32 2 (*.f32 x 4)) (*.f32 (+.f32 x -1) -1/2)) (/.f32 (*.f32 2 (*.f32 x 4)) (*.f32 (+.f32 x -1) -1/2))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 x (+.f32 x -1)) (/.f32 x (+.f32 x -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 (+.f32 x x) (+.f32 x -1)) (/.f32 (+.f32 x x) (+.f32 x -1))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (neg.f32 (+.f32 x x)) (neg.f32 (+.f32 x x))) (+.f32 x (+.f32 x -2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (neg.f32 (neg.f32 x)) (neg.f32 (neg.f32 x))) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (+.f32 x x) (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (-.f32 (/.f32 -2 (+.f32 x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x and (-.f32 (/.f32 -2 (+.f32 x -1)) 2) (-.f32 (/.f32 -2 (+.f32 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x or (-.f32 (/.f32 -2 (+.f32 x -1)) 2) (-.f32 (/.f32 -2 (+.f32 x -1)) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -2 (+.f32 x -1)) 0)))) (#(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 1 x)) (/.f32 1 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 -2 (+.f32 x -1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 1 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 -2 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 x) (/.f32 1 (*.f32 (-.f32 1 x) (*.f32 (+.f32 x -1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -2 (+.f32 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (/.f32 -2 (+.f32 x -1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 -2 (+.f32 x -1)) (/.f32 1/2 (*.f32 (-.f32 1 x) (*.f32 (+.f32 x -1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 (+.f32 x -1) (*.f32 (-.f32 1 x) (*.f32 (+.f32 x -1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -4 (+.f32 x -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 x -1) -1/2) (/.f32 2 (*.f32 (-.f32 1 x) (*.f32 (+.f32 x -1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 -4 (+.f32 x -1))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (/.f32 -4 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 2 (/.f32 -4 (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (/.f32 (*.f32 -2 (+.f32 x -1)) (*.f32 (-.f32 1 x) (/.f32 (+.f32 x -1) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x -1) -4) (/.f32 2 (*.f32 (-.f32 1 x) (/.f32 (+.f32 x -1) -4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 -2 (+.f32 x -1)) (*.f32 (-.f32 1 x) (/.f32 (+.f32 x -1) -4))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (/.f32 -2 (+.f32 x -1)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x -1) (*.f32 (-.f32 1 x) (*.f32 (+.f32 x -1) -1/2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (*.f32 (-.f32 1 x) (/.f32 (+.f32 x -1) -4))) (/.f32 (+.f32 x -1) -4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (*.f32 (-.f32 1 x) (*.f32 (+.f32 x -1) -1/2))) (*.f32 (+.f32 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (*.f32 (-.f32 1 x) (*.f32 (+.f32 x -1) -1/2))) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1/2 (*.f32 (-.f32 1 x) (*.f32 (+.f32 x -1) -1/2))) (*.f32 -2 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 -2 (+.f32 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (+.f32 x -1) (*.f32 (-.f32 1 x) (*.f32 (+.f32 x -1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 2 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 -2 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f32 -2 (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f32 -2 (+.f32 x -1)) (/.f32 -2 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f32 -2 (+.f32 x -1)) (/.f32 -2 (+.f32 x -1)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 1/2) (*.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 2 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 4)) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 4))) (*.f32 2 (*.f32 2 (*.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 4)))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)) (log1p.f32 (-.f32 (/.f32 -2 (+.f32 x -1)) 2)))))))

simplify231.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

1378×	`rational.json-simplify-2`
1116×	`rational.json-simplify-35`
1066×	`rational.json-simplify-51`
896×	`rational.json-simplify-1`
702×	`rational.json-simplify-49`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	267	3639
1	653	3529
2	1603	3435
3	4856	3409
4	7950	3409

Stop Event

1×	node limit

Counts

139 → 209

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

localize11.0ms (0.1%)

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

localize20.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 16 to 6 computations (62.5% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite101.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1600×	`bool.json-1`
1600×	`bool.json-2`
1546×	`rational.json-1`
974×	`exponential.json-3`
974×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	65	11
2	193	11
3	394	11
4	795	11
5	1685	11
6	3903	11
7	6941	11

Stop Event

1×	node limit

Counts

1 → 23

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (+.f32 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (log1p.f32 (+.f32 x x)) 1/2) (*.f32 (log1p.f32 (+.f32 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (+.f32 x x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (log1p.f32 (+.f32 x x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (+.f32 x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (log1p.f32 (+.f32 x x)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (log1p.f32 (+.f32 x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (+.f32 x x)) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (+.f32 x x)) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (log1p.f32 (+.f32 x x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (+.f32 x x)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log1p.f32 (+.f32 x x)) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (log1p.f32 (+.f32 x x)) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (log1p.f32 (+.f32 x x)) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (log1p.f32 (+.f32 x x)) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 (log1p.f32 (+.f32 x x)) 8))) (*.f32 2 (*.f32 2 (*.f32 (log1p.f32 (+.f32 x x)) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (+.f32 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log1p.f32 (+.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log1p.f32 (+.f32 x x)) (log1p.f32 (+.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x or (log1p.f32 (+.f32 x x)) (log1p.f32 (+.f32 x x)))))))

simplify633.0ms (5.1%)

Algorithm

1×	egg-herbie

Rules

2002×	`rational.json-simplify-2`
1818×	`rational.json-simplify-35`
1392×	`rational.json-simplify-1`
1138×	`rational.json-simplify-51`
1070×	`rational.json-simplify-49`

Iterations

Useful iterations: 18 (0.0ms)

Iter	Nodes	Cost
0	97	857
1	192	841
2	484	841
3	1148	841
4	1851	841
5	3376	841
6	3789	841
7	3845	841
8	3896	841
9	3944	841
10	3988	841
11	4363	841
12	4428	841
13	4478	841
14	4520	841
15	4561	841
16	4602	841
17	4643	841
18	4684	825
19	5425	825
20	5907	825
21	6019	825
22	6074	825
23	6131	825
24	6205	825
25	6341	825
26	6792	825

Stop Event

1×	node limit

Counts

35 → 76

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 8/3 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (.f32 -2 (pow.f32 x 2)) (+.f32 (.f32 8/3 (pow.f32 x 3)) (+.f32 (.f32 2 x) (.f32 -4 (pow.f32 x 4)))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/2 (/.f32 1 x))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2))) (*.f32 1/8 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/24 (/.f32 1 (pow.f32 x 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)))) (.f32 1/8 (/.f32 1 (pow.f32 x 2))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 1/2 (/.f32 1 x)) (log.f32 -2)))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))) (*.f32 1/8 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/24 (/.f32 1 (pow.f32 x 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)))) (.f32 1/8 (/.f32 1 (pow.f32 x 2))))
(+.f32 (log1p.f32 (+.f32 x x)) 0)
(+.f32 0 (log1p.f32 (+.f32 x x)))
(+.f32 (.f32 (log1p.f32 (+.f32 x x)) 1/2) (.f32 (log1p.f32 (+.f32 x x)) 1/2))
(-.f32 (log1p.f32 (+.f32 x x)) 0)
(*.f32 (log1p.f32 (+.f32 x x)) 1)
(*.f32 1 (log1p.f32 (+.f32 x x)))
(.f32 2 (.f32 (log1p.f32 (+.f32 x x)) 1/2))
(.f32 (.f32 (log1p.f32 (+.f32 x x)) 2) 1/2)
(.f32 4 (.f32 (log1p.f32 (+.f32 x x)) 1/4))
(.f32 (.f32 (log1p.f32 (+.f32 x x)) 4) 1/4)
(.f32 1/2 (.f32 (log1p.f32 (+.f32 x x)) 2))
(.f32 (.f32 (log1p.f32 (+.f32 x x)) 8) 1/8)
(.f32 (.f32 (log1p.f32 (+.f32 x x)) 1/2) 2)
(.f32 1/4 (.f32 (log1p.f32 (+.f32 x x)) 4))
(.f32 (.f32 (log1p.f32 (+.f32 x x)) 1/4) 4)
(/.f32 (log1p.f32 (+.f32 x x)) 1)
(/.f32 (*.f32 (log1p.f32 (+.f32 x x)) 2) 2)
(/.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) 4)
(/.f32 (*.f32 (log1p.f32 (+.f32 x x)) 8) 8)
(/.f32 (.f32 2 (.f32 (log1p.f32 (+.f32 x x)) 8)) 16)
(/.f32 (.f32 2 (.f32 2 (*.f32 (log1p.f32 (+.f32 x x)) 8))) 32)
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (log1p.f32 (+.f32 x x)) 8))) (.f32 2 (.f32 2 (.f32 (log1p.f32 (+.f32 x x)) 8)))) 64)
(pow.f32 (log1p.f32 (+.f32 x 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 (.f32 -2 (pow.f32 x 2)) (+.f32 (.f32 8/3 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (.f32 -2 (pow.f32 x 2)) (+.f32 (.f32 2 x) (*.f32 8/3 (pow.f32 x 3))))
(+.f32 (.f32 2 x) (+.f32 (.f32 8/3 (pow.f32 x 3)) (*.f32 -2 (pow.f32 x 2))))
(+.f32 (.f32 2 x) (+.f32 (.f32 -2 (pow.f32 x 2)) (*.f32 8/3 (pow.f32 x 3))))
(+.f32 (.f32 -2 (pow.f32 x 2)) (+.f32 (.f32 8/3 (pow.f32 x 3)) (+.f32 (.f32 2 x) (.f32 -4 (pow.f32 x 4)))))
(+.f32 (.f32 2 x) (+.f32 (+.f32 (.f32 8/3 (pow.f32 x 3)) (.f32 -4 (pow.f32 x 4))) (.f32 -2 (pow.f32 x 2))))
(+.f32 (.f32 2 x) (+.f32 (.f32 -2 (pow.f32 x 2)) (+.f32 (.f32 8/3 (pow.f32 x 3)) (.f32 -4 (pow.f32 x 4)))))
(+.f32 (.f32 -2 (pow.f32 x 2)) (+.f32 (.f32 2 x) (+.f32 (.f32 8/3 (pow.f32 x 3)) (.f32 -4 (pow.f32 x 4)))))
(+.f32 (log.f32 2) (*.f32 -1 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (neg.f32 (log.f32 (/.f32 1 x))))
(+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/2 (/.f32 1 x))))
(+.f32 (log.f32 2) (+.f32 (.f32 (/.f32 1 x) 1/2) (.f32 -1 (log.f32 (/.f32 1 x)))))
(+.f32 (log.f32 2) (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (*.f32 (/.f32 1 x) 1/2)))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (*.f32 (/.f32 1 x) 1/2)))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2))) (*.f32 1/8 (/.f32 1 (pow.f32 x 2))))
(+.f32 (+.f32 (log.f32 2) (.f32 -1 (log.f32 (/.f32 1 x)))) (-.f32 (.f32 (/.f32 1 x) 1/2) (*.f32 1/8 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (-.f32 (+.f32 (log.f32 2) (.f32 (/.f32 1 x) 1/2)) (.f32 1/8 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 2) (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (-.f32 (.f32 (/.f32 1 x) 1/2) (.f32 1/8 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (+.f32 (log.f32 2) (.f32 (/.f32 1 x) 1/2)) (-.f32 (.f32 (/.f32 1 (pow.f32 x 2)) -1/8) (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (+.f32 (.f32 (/.f32 1 x) 1/2) (-.f32 (.f32 (/.f32 1 (pow.f32 x 2)) -1/8) (log.f32 (/.f32 1 x)))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/24 (/.f32 1 (pow.f32 x 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (log.f32 2)))) (.f32 1/8 (/.f32 1 (pow.f32 x 2))))
(+.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (.f32 1/24 (/.f32 1 (pow.f32 x 3))))) (-.f32 (.f32 (/.f32 1 x) 1/2) (.f32 1/8 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (+.f32 (log.f32 2) (+.f32 (.f32 1/24 (/.f32 1 (pow.f32 x 3))) (neg.f32 (log.f32 (/.f32 1 x))))) (-.f32 (.f32 (/.f32 1 x) 1/2) (*.f32 1/8 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (+.f32 (log.f32 2) (.f32 1/24 (/.f32 1 (pow.f32 x 3)))) (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (-.f32 (.f32 (/.f32 1 x) 1/2) (*.f32 1/8 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 2) (+.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (.f32 (/.f32 1 x) 1/2)) (-.f32 (.f32 1/24 (/.f32 1 (pow.f32 x 3))) (*.f32 1/8 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 2) (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (-.f32 (+.f32 (.f32 (/.f32 1 x) 1/2) (.f32 1/24 (/.f32 1 (pow.f32 x 3)))) (*.f32 1/8 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (.f32 (/.f32 1 x) 1/2) (+.f32 (log.f32 2) (+.f32 (.f32 1/24 (/.f32 1 (pow.f32 x 3))) (-.f32 (*.f32 (/.f32 1 (pow.f32 x 2)) -1/8) (log.f32 (/.f32 1 x))))))
(+.f32 (+.f32 (log.f32 2) (.f32 (/.f32 1 x) 1/2)) (+.f32 (.f32 1/24 (/.f32 1 (pow.f32 x 3))) (-.f32 (*.f32 (/.f32 1 (pow.f32 x 2)) -1/8) (log.f32 (/.f32 1 x)))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2))
(+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 1/2 (/.f32 1 x)) (log.f32 -2)))
(+.f32 (.f32 (/.f32 1 x) 1/2) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)))
(+.f32 (*.f32 (/.f32 1 x) 1/2) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2)))
(+.f32 (log.f32 -2) (+.f32 (*.f32 (/.f32 1 x) 1/2) (neg.f32 (log.f32 (/.f32 -1 x)))))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (+.f32 (*.f32 (/.f32 1 x) 1/2) (log.f32 -2)))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))) (*.f32 1/8 (/.f32 1 (pow.f32 x 2))))
(+.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (-.f32 (.f32 (/.f32 1 x) 1/2) (*.f32 1/8 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (-.f32 (+.f32 (.f32 (/.f32 1 x) 1/2) (log.f32 -2)) (.f32 1/8 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (+.f32 (.f32 (/.f32 1 x) 1/2) (neg.f32 (log.f32 (/.f32 -1 x)))) (-.f32 (log.f32 -2) (.f32 1/8 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (log.f32 -2) (+.f32 (-.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (.f32 1/8 (/.f32 1 (pow.f32 x 2)))) (.f32 (/.f32 1 x) 1/2)))
(+.f32 (.f32 (/.f32 1 x) 1/2) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (-.f32 (log.f32 -2) (.f32 1/8 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (log.f32 -2) (+.f32 (.f32 (/.f32 1 x) 1/2) (-.f32 (.f32 (/.f32 1 (pow.f32 x 2)) -1/8) (log.f32 (/.f32 -1 x)))))
(-.f32 (+.f32 (.f32 1/2 (/.f32 1 x)) (+.f32 (.f32 1/24 (/.f32 1 (pow.f32 x 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2)))) (.f32 1/8 (/.f32 1 (pow.f32 x 2))))
(+.f32 (+.f32 (.f32 1/24 (/.f32 1 (pow.f32 x 3))) (+.f32 (.f32 -1 (log.f32 (/.f32 -1 x))) (log.f32 -2))) (-.f32 (.f32 (/.f32 1 x) 1/2) (.f32 1/8 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (.f32 (/.f32 1 x) 1/2) (-.f32 (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 1/24 (/.f32 1 (pow.f32 x 3))) (log.f32 -2))) (*.f32 1/8 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (.f32 (/.f32 1 x) 1/2) (+.f32 (+.f32 (.f32 1/24 (/.f32 1 (pow.f32 x 3))) (log.f32 -2)) (-.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (*.f32 1/8 (/.f32 1 (pow.f32 x 2))))))
(+.f32 (.f32 (/.f32 1 x) 1/2) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (+.f32 (-.f32 (log.f32 -2) (.f32 1/8 (/.f32 1 (pow.f32 x 2)))) (*.f32 1/24 (/.f32 1 (pow.f32 x 3))))))
(+.f32 (.f32 (/.f32 1 x) 1/2) (+.f32 (.f32 1/24 (/.f32 1 (pow.f32 x 3))) (+.f32 (neg.f32 (log.f32 (/.f32 -1 x))) (-.f32 (log.f32 -2) (*.f32 1/8 (/.f32 1 (pow.f32 x 2)))))))
(+.f32 (.f32 (/.f32 1 x) 1/2) (+.f32 (+.f32 (.f32 1/24 (/.f32 1 (pow.f32 x 3))) (log.f32 -2)) (-.f32 (*.f32 (/.f32 1 (pow.f32 x 2)) -1/8) (log.f32 (/.f32 -1 x)))))
(+.f32 (log1p.f32 (+.f32 x x)) 0)
(log1p.f32 (+.f32 x x))
(+.f32 0 (log1p.f32 (+.f32 x x)))
(log1p.f32 (+.f32 x x))
(+.f32 (.f32 (log1p.f32 (+.f32 x x)) 1/2) (.f32 (log1p.f32 (+.f32 x x)) 1/2))
(log1p.f32 (+.f32 x x))
(-.f32 (log1p.f32 (+.f32 x x)) 0)
(log1p.f32 (+.f32 x x))
(*.f32 (log1p.f32 (+.f32 x x)) 1)
(log1p.f32 (+.f32 x x))
(*.f32 1 (log1p.f32 (+.f32 x x)))
(log1p.f32 (+.f32 x x))
(.f32 2 (.f32 (log1p.f32 (+.f32 x x)) 1/2))
(log1p.f32 (+.f32 x x))
(.f32 (.f32 (log1p.f32 (+.f32 x x)) 2) 1/2)
(log1p.f32 (+.f32 x x))
(.f32 4 (.f32 (log1p.f32 (+.f32 x x)) 1/4))
(log1p.f32 (+.f32 x x))
(.f32 (.f32 (log1p.f32 (+.f32 x x)) 4) 1/4)
(log1p.f32 (+.f32 x x))
(.f32 1/2 (.f32 (log1p.f32 (+.f32 x x)) 2))
(log1p.f32 (+.f32 x x))
(.f32 (.f32 (log1p.f32 (+.f32 x x)) 8) 1/8)
(log1p.f32 (+.f32 x x))
(.f32 (.f32 (log1p.f32 (+.f32 x x)) 1/2) 2)
(log1p.f32 (+.f32 x x))
(.f32 1/4 (.f32 (log1p.f32 (+.f32 x x)) 4))
(log1p.f32 (+.f32 x x))
(.f32 (.f32 (log1p.f32 (+.f32 x x)) 1/4) 4)
(log1p.f32 (+.f32 x x))
(/.f32 (log1p.f32 (+.f32 x x)) 1)
(log1p.f32 (+.f32 x x))
(/.f32 (*.f32 (log1p.f32 (+.f32 x x)) 2) 2)
(log1p.f32 (+.f32 x x))
(/.f32 (*.f32 (log1p.f32 (+.f32 x x)) 4) 4)
(log1p.f32 (+.f32 x x))
(/.f32 (*.f32 (log1p.f32 (+.f32 x x)) 8) 8)
(log1p.f32 (+.f32 x x))
(/.f32 (.f32 2 (.f32 (log1p.f32 (+.f32 x x)) 8)) 16)
(log1p.f32 (+.f32 x x))
(/.f32 (.f32 2 (.f32 2 (*.f32 (log1p.f32 (+.f32 x x)) 8))) 32)
(log1p.f32 (+.f32 x x))
(/.f32 (+.f32 (.f32 2 (.f32 2 (.f32 (log1p.f32 (+.f32 x x)) 8))) (.f32 2 (.f32 2 (.f32 (log1p.f32 (+.f32 x x)) 8)))) 64)
(log1p.f32 (+.f32 x x))
(pow.f32 (log1p.f32 (+.f32 x x)) 1)
(log1p.f32 (+.f32 x x))

localize46.0ms (0.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (neg.f32 (/.f32 2 (+.f32 (/.f32 -1 x) 1))))
✓	0.0b	(+.f32 (/.f32 -1 x) 1)
✓	0.3b	(/.f32 2 (+.f32 (/.f32 -1 x) 1))

Compiler

Compiled 49 to 42 computations (14.3% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite94.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1984×	`bool.json-1`
1984×	`bool.json-2`
1616×	`bool.json-3`
694×	`rational.json-simplify-35`
644×	`exponential.json-3`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	146	55
2	426	55
3	957	55
4	2262	55
5	6316	55

Stop Event

1×	node limit

Counts

3 → 77

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 2 (+.f32 (/.f32 -1 x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 2 (+.f32 (/.f32 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 2 (+.f32 (/.f32 -1 x) 1)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 -1 (-.f32 -1 (/.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 -1 x) (/.f32 (-.f32 1 x) (*.f32 (*.f32 (+.f32 (/.f32 -1 x) 1) 1/2) (+.f32 (/.f32 -1 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 2 (+.f32 (/.f32 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 -1 x) 1) (/.f32 1 (*.f32 (*.f32 (+.f32 (/.f32 -1 x) 1) 1/2) (+.f32 (/.f32 -1 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 -1 x) 1) (/.f32 1/2 (*.f32 (+.f32 (/.f32 -1 x) 1) (*.f32 (+.f32 (/.f32 -1 x) 1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (+.f32 (/.f32 -1 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (/.f32 2 (+.f32 (/.f32 -1 x) 1)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 2 (*.f32 4 (/.f32 -1/2 x))) (/.f32 1/2 (*.f32 (*.f32 (+.f32 (/.f32 -1 x) 1) 1/2) (+.f32 (/.f32 -1 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -4 (-.f32 -1 (/.f32 -1 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (/.f32 -1 x) 1) 1/2) (/.f32 1 (*.f32 (+.f32 (/.f32 -1 x) 1) (*.f32 (+.f32 (/.f32 -1 x) 1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (/.f32 -1 x) 1) 1/2) (/.f32 2 (*.f32 (*.f32 (+.f32 (/.f32 -1 x) 1) 1/2) (+.f32 (/.f32 -1 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 x) (/.f32 (/.f32 -1 x) (*.f32 (*.f32 (+.f32 (/.f32 -1 x) 1) 1/2) (+.f32 (/.f32 -1 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (/.f32 -4 (-.f32 -1 (/.f32 -1 x)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (/.f32 -4 (-.f32 -1 (/.f32 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (/.f32 (neg.f32 (/.f32 -4 (-.f32 -1 (/.f32 -1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1/2 (neg.f32 (/.f32 -4 (-.f32 -1 (/.f32 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (-.f32 -1 (/.f32 -1 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 (+.f32 (/.f32 -1 x) 1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (/.f32 (+.f32 2 (*.f32 4 (/.f32 -1/2 x))) (*.f32 (+.f32 (/.f32 -1 x) 1) (*.f32 (+.f32 (/.f32 -1 x) 1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (/.f32 (*.f32 (+.f32 (/.f32 -1 x) 1) 4) (*.f32 (*.f32 (+.f32 (/.f32 -1 x) 1) 1/2) (+.f32 (/.f32 -1 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (-.f32 1 x) 1/2) (/.f32 (/.f32 -1 x) (*.f32 (+.f32 (/.f32 -1 x) 1) (*.f32 (+.f32 (/.f32 -1 x) 1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (/.f32 -1 x) 1) 1/4) (/.f32 2 (*.f32 (+.f32 (/.f32 -1 x) 1) (*.f32 (+.f32 (/.f32 -1 x) 1) 1/4))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 2 (+.f32 (/.f32 -1 x) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f32 2 (+.f32 (/.f32 -1 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f32 2 (+.f32 (/.f32 -1 x) 1)) (/.f32 2 (+.f32 (/.f32 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f32 2 (+.f32 (/.f32 -1 x) 1)) (/.f32 2 (+.f32 (/.f32 -1 x) 1)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 -1 x) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (/.f32 -1 x) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (-.f32 -1 (/.f32 -1 x)))))) (#(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 2 (*.f32 (/.f32 -1/2 x) (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (-.f32 -1 (/.f32 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 x) (-.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -1 x) (*.f32 (*.f32 (-.f32 1 x) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (/.f32 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 -1 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (+.f32 (/.f32 -1 x) 1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 2 (*.f32 4 (/.f32 -1/2 x))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (/.f32 -1 x) 1) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 4 (/.f32 -1/2 x)) (*.f32 (-.f32 1 x) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 4 (/.f32 -1/2 x)) (*.f32 1/2 (-.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 (*.f32 (+.f32 (/.f32 -1 x) 1) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 x) (/.f32 -1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 x) (*.f32 (neg.f32 (/.f32 -1 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (/.f32 -1 x) 1) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (+.f32 2 (*.f32 4 (/.f32 -1/2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (+.f32 (/.f32 -1 x) 1) 4))))) (#(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 4 (/.f32 -1/2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (/.f32 -1 x) 1) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 -1 (/.f32 -1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 x) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (/.f32 -1 x) 1) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 (/.f32 -1 x) 1) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (/.f32 -1 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (-.f32 -1 (/.f32 -1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f32 (/.f32 -1 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f32 (/.f32 -1 x) 1) (+.f32 (/.f32 -1 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f32 (/.f32 -1 x) 1) (+.f32 (/.f32 -1 x) 1))))))

((#(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 (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)))) 1/2))))) (#(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 4 (/.f32 (log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x)))) 4))))) (#(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 (*.f32 (log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x)))) 4) 1/4)))) (#(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)))) 1/2) 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 (*.f32 2 (*.f32 (log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x)))) 4)) (*.f32 2 (*.f32 (log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x)))) 4))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x)))) (log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x or (log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x)))) (log1p.f32 (/.f32 2 (-.f32 -1 (/.f32 -1 x)))))))))

simplify153.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

1356×	`rational.json-simplify-53`
1284×	`rational.json-simplify-35`
1226×	`rational.json-simplify-51`
1118×	`rational.json-simplify-39`
1094×	`rational.json-simplify-2`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	192	2517
1	435	2451
2	1676	2421
3	3536	2415
4	6869	2409

Stop Event

1×	node limit

Counts

113 → 147

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

localize112.0ms (0.9%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 23 computations (36.1% saved)

series3.0ms (0%)

Counts

2 → 12

Calls

6 calls:

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

rewrite102.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

1640×	`bool.json-1`
1640×	`bool.json-2`
1578×	`rational.json-1`
988×	`exponential.json-3`
988×	`rational.json-2`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	76	20
2	211	20
3	420	20
4	826	20
5	1716	20
6	4017	20
7	7104	20

Stop Event

1×	node limit

Counts

2 → 52

Calls

Call 1

Inputs
(*.f32 (pow.f32 x 3) 2/3)
(pow.f32 x 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 (*.f32 2 (*.f32 2 (*.f32 (pow.f32 x 3) 16/3))) (*.f32 2 (*.f32 2 (*.f32 (pow.f32 x 3) 16/3)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 x 3) 2/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (*.f32 (pow.f32 x 3) 2/3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (*.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x or (*.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 2/3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (pow.f32 x 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 x 3) 2/3) (*.f32 (pow.f32 x 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 x 3) 1/2) (*.f32 (pow.f32 x 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (pow.f32 x 3) 1/3) (*.f32 (pow.f32 x 3) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (pow.f32 x 3) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 3 (*.f32 (pow.f32 x 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2/3 (*.f32 (pow.f32 x 3) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2/3 (*.f32 (*.f32 3 (pow.f32 x 3)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 x 3) 2/3) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (pow.f32 x 3) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 x 3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 x 3) 4/3) 3/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (pow.f32 x 3) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 x 3) 4) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4/3 (*.f32 (*.f32 (pow.f32 x 3) 3/2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 8 (*.f32 (pow.f32 x 3) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 x 3) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 3 (pow.f32 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 (pow.f32 x 3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 x 3) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/3 (*.f32 3 (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 x 3) 1/3) 3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 (pow.f32 x 3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 x 3) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 3/2 (*.f32 (pow.f32 x 3) 2/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 x 3) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 x 3) 1/8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/8 (*.f32 (pow.f32 x 3) 8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 64 (pow.f32 (*.f32 x 1/4) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 x 4) 3) 1/64)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 x 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 3) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 3) 4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 x 3) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (pow.f32 x 3) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 2 (*.f32 (pow.f32 x 3) 8))) 32)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 2 (*.f32 (pow.f32 x 3) 8))) (*.f32 2 (*.f32 2 (*.f32 (pow.f32 x 3) 8)))) 64)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x and (pow.f32 x 3) (pow.f32 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x or (pow.f32 x 3) (pow.f32 x 3))))))

simplify983.0ms (8%)

Algorithm

1×	egg-herbie

Rules

3626×	`rational.json-simplify-51`
3018×	`rational.json-simplify-2`
2900×	`rational.json-simplify-35`
936×	`rational.json-simplify-1`
726×	`exponential.json-simplify-26`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	102	592
1	197	592
2	1108	592
3	2030	592
4	2633	592
5	2872	592
6	2992	592
7	3087	592
8	3155	592
9	3220	592
10	3285	592
11	3350	592
12	3415	592
13	3480	592
14	3545	592
15	3610	592
16	3675	592
17	3740	592
18	3805	592
19	6966	592
20	7060	592
21	7128	592
22	7128	592
23	7128	592
24	7503	592
25	7558	592
26	7613	592
27	7668	592
28	7723	592
29	7778	592
30	7833	592
31	7888	592
32	7943	592
33	7998	592

Stop Event

1×	node limit

Counts

64 → 54

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

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

eval379.0ms (3.1%)

Compiler: Compiled 8105 to 6781 computations (16.3% saved)

prune183.0ms (1.5%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	484	2	486
Fresh	0	0	0
Picked	0	1	1
Done	4	1	5
Total	488	4	492

Error

0.0b

Counts

492 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.7b	(.f32 1/2 (+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 x x)))
▶	1.1b	(.f32 1/2 (.f32 x 2))
✓	0.1b	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
▶	0.3b	(*.f32 1/2 (log1p.f32 (/.f32 4 (-.f32 (/.f32 2 x) 2))))

Compiler

Compiled 40 to 33 computations (17.5% saved)

localize72.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (/.f32 4 (-.f32 (/.f32 2 x) 2)))
✓	0.0b	(-.f32 (/.f32 2 x) 2)
✓	0.3b	(/.f32 4 (-.f32 (/.f32 2 x) 2))

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 4 (-.f32 (/.f32 2 x) 2)))
0.0ms	x	@	inf	(log1p.f32 (/.f32 4 (-.f32 (/.f32 2 x) 2)))
0.0ms	x	@	0	(/.f32 4 (-.f32 (/.f32 2 x) 2))
0.0ms	x	@	-inf	(log1p.f32 (/.f32 4 (-.f32 (/.f32 2 x) 2)))
0.0ms	x	@	0	(-.f32 (/.f32 2 x) 2)

rewrite75.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1370×	`bool.json-1`
1370×	`bool.json-2`
1316×	`rational.json-1`
1316×	`rational.json-2`
1316×	`rational.json-4`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	55
1	116	55
2	350	55
3	786	55
4	1746	55
5	4443	55

Stop Event

1×	node limit

Counts

3 → 66

Calls

Call 1

Inputs
(/.f32 4 (-.f32 (/.f32 2 x) 2))
(-.f32 (/.f32 2 x) 2)
(log1p.f32 (/.f32 4 (-.f32 (/.f32 2 x) 2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 4 (+.f32 (/.f32 2 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 2 (+.f32 (/.f32 2 x) -2)) (/.f32 2 (+.f32 (/.f32 2 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 2 (+.f32 (/.f32 2 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 2 x) -2) (/.f32 1/4 (*.f32 (+.f32 (/.f32 2 x) -2) (*.f32 (+.f32 (/.f32 2 x) -2) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 4 (+.f32 (/.f32 2 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 4 (/.f32 2 (+.f32 (/.f32 2 x) -2))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (-.f32 2 (/.f32 2 x)) -1/4) (/.f32 1 (*.f32 (+.f32 (/.f32 2 x) -2) (*.f32 (+.f32 (/.f32 2 x) -2) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (-.f32 2 (/.f32 2 x)) -1/4) (/.f32 2 (*.f32 2 (*.f32 (+.f32 (/.f32 2 x) -2) (*.f32 (+.f32 (/.f32 2 x) -2) 1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (/.f32 2 x) -2) 1/2) (/.f32 1/2 (*.f32 (+.f32 (/.f32 2 x) -2) (*.f32 (+.f32 (/.f32 2 x) -2) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (/.f32 2 x) -2) 1/2) (/.f32 1 (*.f32 2 (*.f32 (+.f32 (/.f32 2 x) -2) (*.f32 (+.f32 (/.f32 2 x) -2) 1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 4 (/.f32 4 (+.f32 (/.f32 2 x) -2))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 4 (/.f32 2 (+.f32 (/.f32 2 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (/.f32 (+.f32 (/.f32 2 x) -2) (*.f32 (+.f32 (/.f32 2 x) -2) (*.f32 (+.f32 (/.f32 2 x) -2) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (/.f32 (*.f32 2 (+.f32 (/.f32 2 x) -2)) (*.f32 2 (*.f32 (+.f32 (/.f32 2 x) -2) (*.f32 (+.f32 (/.f32 2 x) -2) 1/16)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (+.f32 (/.f32 2 x) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (/.f32 2 x) -2) 1/8) (/.f32 2 (*.f32 (+.f32 (/.f32 2 x) -2) (*.f32 (+.f32 (/.f32 2 x) -2) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/8 (/.f32 (*.f32 2 (+.f32 (/.f32 2 x) -2)) (*.f32 (+.f32 (/.f32 2 x) -2) (*.f32 (+.f32 (/.f32 2 x) -2) 1/16))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (/.f32 4 (+.f32 (/.f32 2 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x and (/.f32 4 (+.f32 (/.f32 2 x) -2)) (/.f32 4 (+.f32 (/.f32 2 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x or (/.f32 4 (+.f32 (/.f32 2 x) -2)) (/.f32 4 (+.f32 (/.f32 2 x) -2)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 2 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (/.f32 2 x) -2) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (+.f32 (/.f32 2 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -2 (/.f32 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (-.f32 2 (/.f32 2 x)) -1/4) (+.f32 (*.f32 (-.f32 2 (/.f32 2 x)) -1/4) (*.f32 (+.f32 (/.f32 2 x) -2) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (+.f32 (/.f32 2 x) -2) 1/2) (*.f32 (+.f32 (/.f32 2 x) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (-.f32 1 (-.f32 2 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (*.f32 (-.f32 2 (/.f32 2 x)) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (+.f32 (/.f32 2 x) -2) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 2 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (/.f32 2 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (+.f32 (/.f32 2 x) -2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 2 (/.f32 2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 4 (+.f32 (/.f32 2 x) -2)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (/.f32 2 x) -2) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 (/.f32 2 x) -2) 8) 1/8)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 2 (+.f32 (/.f32 2 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/4 (*.f32 4 (+.f32 (/.f32 2 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (neg.f32 x) 1) (/.f32 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (/.f32 2 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (+.f32 (/.f32 2 x) -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 2 (/.f32 2 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 4 (+.f32 (/.f32 2 x) -2)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 (/.f32 2 x) -2) 8) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 (+.f32 (/.f32 2 x) -2) 8)) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (/.f32 2 x) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (-.f32 2 (/.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x not (not (+.f32 (/.f32 2 x) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x and (+.f32 (/.f32 2 x) -2) (+.f32 (/.f32 2 x) -2))))) (#(struct:change #<rule egg-rr> (2) ((x or (+.f32 (/.f32 2 x) -2) (+.f32 (/.f32 2 x) -2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 4 (/.f32 (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2)))) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 4 (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2)))) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/2 (*.f32 2 (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2))) 1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 4 (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2)))) 4)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 (*.f32 4 (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2))))) 8)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (*.f32 2 (*.f32 4 (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2))))) (*.f32 2 (*.f32 4 (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2)))))) 16)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x not (not (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2)))))))) (#(struct:change #<rule egg-rr> (2) ((x and (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2))) (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x or (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2))) (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2))))))))

simplify4.0s (32.4%)

Algorithm

1×	egg-herbie

Rules

1560×	`rational.json-simplify-35`
1156×	`rational.json-simplify-2`
892×	`rational.json-simplify-43`
818×	`rational.json-simplify-39`
810×	`rational.json-simplify-51`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	173	2338
1	367	2296
2	988	2236
3	3891	2230
4	6885	2230

Stop Event

1×	node limit

Counts

102 → 115

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

localize13.0ms (0.1%)

Compiler: Compiled 12 to 9 computations (25% saved)

eval1.1s (8.9%)

Compiler: Compiled 1888 to 1676 computations (11.2% saved)

prune75.0ms (0.6%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	115	4	119

Error

0.0b

Counts

119 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.7b	(.f32 1/2 (+.f32 (.f32 (pow.f32 x 3) 2/3) (+.f32 x x)))
✓	1.1b	(.f32 1/2 (.f32 x 2))
✓	0.1b	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
✓	0.3b	(*.f32 1/2 (log1p.f32 (/.f32 4 (-.f32 (/.f32 2 x) 2))))

Compiler

Compiled 40 to 33 computations (17.5% saved)

regimes88.0ms (0.7%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

4 calls:

68.0ms	x
8.0ms	(/.f32 (*.f32 2 x) (-.f32 1 x))
5.0ms	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
5.0ms	(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 98 to 78 computations (20.4% saved)

regimes5.0ms (0%)

Counts

5 → 1

Calls

Call 1

Inputs
(.f32 1/2 (.f32 x 2))
(*.f32 1/2 (log1p.f32 -2))
(*.f32 1/2 (log1p.f32 (+.f32 x x)))
(.f32 1/2 (log1p.f32 (.f32 (/.f32 2 (-.f32 1 x)) x)))
(*.f32 1/2 (log1p.f32 (/.f32 4 (-.f32 (/.f32 2 x) 2))))

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.1b	1	`x`

Compiler

Compiled 38 to 31 computations (18.4% saved)

regimes4.0ms (0%)

Accuracy

Total -30.9b remaining (-2738.1%)

Threshold costs -30.9b (-2738.1%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

3.0ms

Results

Error	Segments	Branch
1.1b	1	`x`

Compiler

Compiled 18 to 14 computations (22.2% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	71

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 (.f32 x 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 (.f32 x 2))

Compiler

Compiled 28 to 23 computations (17.9% saved)

soundness0.0ms (0%)

end74.0ms (0.6%)

Compiler: Compiled 26 to 21 computations (19.2% saved)

Details

analyze6.0ms (0.1%)

sample3.1s (25%)

preprocess11.0ms (0.1%)

simplify155.0ms (1.3%)

eval1.0ms (0%)

prune1.0ms (0%)

localize35.0ms (0.3%)

series2.0ms (0%)

rewrite84.0ms (0.7%)

simplify181.0ms (1.5%)

eval35.0ms (0.3%)

prune50.0ms (0.4%)

localize62.0ms (0.5%)

series1.0ms (0%)

rewrite77.0ms (0.6%)

simplify231.0ms (1.9%)

localize11.0ms (0.1%)

localize20.0ms (0.2%)

series1.0ms (0%)

rewrite101.0ms (0.8%)

simplify633.0ms (5.1%)

localize46.0ms (0.4%)

series2.0ms (0%)

rewrite94.0ms (0.8%)

simplify153.0ms (1.2%)

localize112.0ms (0.9%)

series3.0ms (0%)

rewrite102.0ms (0.8%)

simplify983.0ms (8%)

eval379.0ms (3.1%)

prune183.0ms (1.5%)

localize72.0ms (0.6%)

series1.0ms (0%)

rewrite75.0ms (0.6%)

simplify4.0s (32.4%)

localize13.0ms (0.1%)

eval1.1s (8.9%)

prune75.0ms (0.6%)

regimes88.0ms (0.7%)

regimes5.0ms (0%)

regimes4.0ms (0%)

simplify2.0ms (0%)

soundness0.0ms (0%)

end74.0ms (0.6%)

Profiling