Details

analyze7.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 4 to 3 computations (25% saved)

sample1.5s (31.5%)

Results

1.5s	8256×	body	256	valid
0.0ms	1×	body	256	invalid

Bogosity

preprocess8.0ms (0.2%)

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)

simplify152.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 3

Calls

Call 1

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

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

eval1.0ms (0%)

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

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.1b

Counts

4 → 1

Alt Table

Click to see full alt table

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

Compiler

Compiled 11 to 9 computations (18.2% saved)

localize211.0ms (4.4%)

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))

rewrite78.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	42
1	110	42
2	358	42
3	872	42
4	2338	42
5	5432	42

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

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

Outputs

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

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

simplify117.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

1242×	`rational.json-simplify-2`
1012×	`rational.json-simplify-53`
988×	`rational.json-simplify-1`
938×	`rational.json-simplify-51`
878×	`rational.json-simplify-35`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	168	2104
1	357	2038
2	707	2014
3	1333	2008
4	2932	2002
5	5722	2002
6	6698	2002

Stop Event

1×	node limit

Counts

84 → 123

Calls

Call 1

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

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

eval124.0ms (2.6%)

Compiler: Compiled 1801 to 1506 computations (16.4% saved)

prune19.0ms (0.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	119	4	123
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	119	5	124

Error

Counts

124 → 5

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))))
▶	2.1b	(*.f32 1/2 (log1p.f32 (+.f32 x x)))
▶	0.1b	(.f32 1/2 (log1p.f32 (.f32 (/.f32 2 (-.f32 1 x)) x)))
▶	0.2b	(*.f32 1/2 (log1p.f32 (neg.f32 (/.f32 2 (+.f32 (/.f32 -1 x) 1)))))
▶	32.0b	(*.f32 1/2 (log1p.f32 -2))

Compiler

Compiled 46 to 39 computations (15.2% saved)

localize11.0ms (0.2%)

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

localize183.0ms (3.8%)

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)
✓	0.2b	(/.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	@	0	(/.f32 2 (+.f32 (/.f32 -1 x) 1))
0.0ms	x	@	inf	(/.f32 2 (+.f32 (/.f32 -1 x) 1))
0.0ms	x	@	inf	(log1p.f32 (neg.f32 (/.f32 2 (+.f32 (/.f32 -1 x) 1))))

rewrite96.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	59
1	132	55
2	388	55
3	884	55
4	2112	55
5	5974	55

Stop Event

1×	node limit

Counts

3 → 74

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

simplify124.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1304×	`rational.json-simplify-35`
1042×	`rational.json-simplify-2`
1032×	`rational.json-simplify-39`
976×	`rational.json-simplify-51`
614×	`rational.json-simplify-50`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	189	2774
1	432	2702
2	1573	2678
3	3270	2660
4	5483	2660
5	6342	2660

Stop Event

1×	node limit

Counts

110 → 182

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

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

localize111.0ms (2.3%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 29 computations (23.7% saved)

series1.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite78.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

1432×	`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	110	55
2	329	55
3	697	55
4	1459	55
5	3803	55

Stop Event

1×	node limit

Counts

3 → 100

Calls

Call 1

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

Outputs

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

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

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

simplify127.0ms (2.6%)

Algorithm

1×	egg-herbie

Rules

1136×	`rational.json-simplify-35`
1086×	`rational.json-simplify-51`
1016×	`rational.json-simplify-53`
890×	`rational.json-simplify-1`
726×	`rational.json-simplify-44`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	264	3182
1	652	3092
2	1621	3030
3	5111	3012
4	7993	3012

Stop Event

1×	node limit

Counts

136 → 175

Calls

Call 1

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

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

localize20.0ms (0.4%)

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))

rewrite89.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	59	11
2	174	11
3	360	11
4	733	11
5	1568	11
6	3664	11
7	6419	11

Stop Event

1×	node limit

Counts

1 → 22

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 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)))))))

simplify573.0ms (11.9%)

Algorithm

1×	egg-herbie

Rules

1956×	`rational.json-simplify-2`
1776×	`rational.json-simplify-35`
1414×	`rational.json-simplify-1`
1328×	`rational.json-simplify-46`
988×	`rational.json-simplify-49`

Iterations

Useful iterations: 18 (0.0ms)

Iter	Nodes	Cost
0	96	846
1	191	830
2	465	830
3	996	830
4	1576	830
5	2967	830
6	3369	830
7	3425	830
8	3476	830
9	3524	830
10	3568	830
11	3938	830
12	4003	830
13	4053	830
14	4095	830
15	4136	830
16	4177	830
17	4218	830
18	4259	814
19	4980	814
20	5379	814
21	5432	814
22	5485	814
23	5541	814
24	5610	814
25	5732	814
26	6130	814
27	7407	814

Stop Event

1×	node limit

Counts

34 → 72

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)

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 (pow.f32 x 2)) (+.f32 (.f32 2 x) (+.f32 (.f32 8/3 (pow.f32 x 3)) (.f32 -4 (pow.f32 x 4)))))
(+.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 x) (+.f32 (.f32 8/3 (pow.f32 x 3)) (+.f32 (.f32 -2 (pow.f32 x 2)) (.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 (+.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 (neg.f32 (log.f32 (/.f32 1 x))) (+.f32 (log.f32 2) (-.f32 (.f32 (/.f32 1 x) 1/2) (.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 (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 (neg.f32 (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 (log.f32 2) (+.f32 (+.f32 (neg.f32 (log.f32 (/.f32 1 x))) (.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 (log.f32 2) (+.f32 (-.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 1/24 (/.f32 1 (pow.f32 x 3))))))
(+.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 (log.f32 2) (+.f32 (.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 (log.f32 2) (+.f32 (.f32 1/24 (/.f32 1 (pow.f32 x 3))) (+.f32 (.f32 (/.f32 1 x) 1/2) (-.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 (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 (+.f32 (neg.f32 (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 (log.f32 -2) (-.f32 (.f32 (/.f32 1 x) 1/2) (.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 (/.f32 1 x) 1/2) (log.f32 -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 (neg.f32 (log.f32 (/.f32 -1 x))) (+.f32 (.f32 1/24 (/.f32 1 (pow.f32 x 3))) (log.f32 -2))) (-.f32 (.f32 (/.f32 1 x) 1/2) (*.f32 1/8 (/.f32 1 (pow.f32 x 2)))))
(+.f32 (.f32 1/24 (/.f32 1 (pow.f32 x 3))) (+.f32 (+.f32 (neg.f32 (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 (neg.f32 (log.f32 (/.f32 -1 x))) (log.f32 -2)) (-.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 (+.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 (+.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))

eval276.0ms (5.8%)

Compiler: Compiled 7347 to 6251 computations (14.9% saved)

prune196.0ms (4.1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	427	2	429
Fresh	0	0	0
Picked	1	0	1
Done	2	2	4
Total	430	4	434

Error

Counts

434 → 4

Alt Table

Click to see full alt table

Status	Error	Program
▶	1.0b	(*.f32 1/2 (+.f32 x x))
✓	0.1b	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
▶	0.2b	(*.f32 1/2 (log1p.f32 (/.f32 4 (-.f32 (/.f32 2 x) 2))))
✓	0.1b	(.f32 1/2 (log1p.f32 (.f32 (/.f32 2 (-.f32 1 x)) x)))

Compiler

Compiled 39 to 32 computations (17.9% saved)

localize102.0ms (2.1%)

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)
✓	0.2b	(/.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	@	0	(/.f32 4 (-.f32 (/.f32 2 x) 2))
0.0ms	x	@	-inf	(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 (/.f32 2 x) 2)

rewrite105.0ms (2.2%)

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	106	55
2	318	55
3	722	55
4	1619	55
5	4183	55

Stop Event

1×	node limit

Counts

3 → 83

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

simplify128.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

1722×	`rational.json-simplify-35`
1060×	`rational.json-simplify-55`
1028×	`rational.json-simplify-39`
866×	`rational.json-simplify-51`
778×	`rational.json-simplify-41`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	190	2485
1	386	2443
2	1339	2419
3	3004	2413
4	6079	2413
5	7505	2413

Stop Event

1×	node limit

Counts

119 → 131

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 2 (/.f32 4 (+.f32 (/.f32 2 x) -2))) 1/2)
(.f32 (.f32 (+.f32 (/.f32 2 x) -2) 1/4) (/.f32 1 (.f32 (+.f32 (/.f32 2 x) -2) (.f32 (+.f32 (/.f32 2 x) -2) 1/16))))
(.f32 (.f32 (+.f32 (/.f32 2 x) -2) 1/4) (/.f32 2 (.f32 (.f32 (+.f32 (/.f32 2 x) -2) 1/4) (*.f32 (+.f32 (/.f32 2 x) -2) 1/2))))
(.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 (.f32 (+.f32 (/.f32 2 x) -2) 1/4) (*.f32 (+.f32 (/.f32 2 x) -2) 1/2))))
(.f32 (.f32 4 (/.f32 4 (+.f32 (/.f32 2 x) -2))) 1/4)
(.f32 1/2 (.f32 2 (/.f32 4 (+.f32 (/.f32 2 x) -2))))
(.f32 1/4 (.f32 4 (/.f32 4 (+.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 (.f32 (+.f32 (/.f32 2 x) -2) 1/4) (*.f32 (+.f32 (/.f32 2 x) -2) 1/2))))
(.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))))
(*.f32 (/.f32 2 (+.f32 (/.f32 2 x) -2)) 2)
(.f32 (/.f32 (+.f32 (/.f32 2 x) -2) (.f32 (+.f32 (/.f32 2 x) -2) (*.f32 (+.f32 (/.f32 2 x) -2) 1/16))) 1/4)
(.f32 (/.f32 (.f32 2 (+.f32 (/.f32 2 x) -2)) (.f32 (+.f32 (/.f32 2 x) -2) (.f32 (+.f32 (/.f32 2 x) -2) 1/16))) 1/8)
(.f32 (/.f32 (.f32 2 (+.f32 (/.f32 2 x) -2)) (.f32 (.f32 (+.f32 (/.f32 2 x) -2) 1/4) (*.f32 (+.f32 (/.f32 2 x) -2) 1/2))) 1/4)
(.f32 (/.f32 2 (.f32 (+.f32 (/.f32 2 x) -2) (.f32 (+.f32 (/.f32 2 x) -2) 1/16))) (.f32 (+.f32 (/.f32 2 x) -2) 1/8))
(.f32 (/.f32 1 (.f32 (+.f32 (/.f32 2 x) -2) (.f32 (+.f32 (/.f32 2 x) -2) 1/16))) (.f32 (+.f32 (/.f32 2 x) -2) 1/4))
(.f32 (/.f32 1/2 (.f32 (+.f32 (/.f32 2 x) -2) (.f32 (+.f32 (/.f32 2 x) -2) 1/16))) (.f32 (+.f32 (/.f32 2 x) -2) 1/2))
(.f32 (/.f32 1/4 (.f32 (+.f32 (/.f32 2 x) -2) (*.f32 (+.f32 (/.f32 2 x) -2) 1/16))) (+.f32 (/.f32 2 x) -2))
(.f32 (/.f32 2 (.f32 (.f32 (+.f32 (/.f32 2 x) -2) 1/4) (.f32 (+.f32 (/.f32 2 x) -2) 1/2))) (*.f32 (+.f32 (/.f32 2 x) -2) 1/4))
(.f32 (/.f32 1 (.f32 (.f32 (+.f32 (/.f32 2 x) -2) 1/4) (.f32 (+.f32 (/.f32 2 x) -2) 1/2))) (*.f32 (+.f32 (/.f32 2 x) -2) 1/2))
(*.f32 (/.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2)) 4) 4)
(neg.f32 (/.f32 -4 (+.f32 (/.f32 2 x) -2)))
(+.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 (/.f32 2 x) -2) 1/4) (+.f32 (.f32 (+.f32 (/.f32 2 x) -2) 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 (-.f32 1 (-.f32 2 (/.f32 2 x))) -1)
(+.f32 (+.f32 (.f32 (+.f32 (/.f32 2 x) -2) 1/4) (.f32 (+.f32 (/.f32 2 x) -2) 1/2)) (*.f32 (+.f32 (/.f32 2 x) -2) 1/4))
(.f32 4 (.f32 (+.f32 (/.f32 2 x) -2) 1/4))
(.f32 2 (.f32 (+.f32 (/.f32 2 x) -2) 1/2))
(*.f32 (/.f32 2 x) (-.f32 1 x))
(*.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) 1/4) 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 -1 (-.f32 2 (/.f32 2 x)))
(*.f32 (-.f32 1 x) (/.f32 2 x))
(.f32 1/8 (.f32 (+.f32 (/.f32 2 x) -2) 8))
(/.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)
(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 1/4 (.f32 4 (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2)))))
(.f32 (.f32 (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2))) 1/2) 2)
(*.f32 (/.f32 (log1p.f32 (/.f32 4 (+.f32 (/.f32 2 x) -2))) 4) 4)
(/.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)

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

localize12.0ms (0.3%)

Compiler: Compiled 11 to 5 computations (54.5% saved)

eval167.0ms (3.5%)

Compiler: Compiled 2192 to 1946 computations (11.2% saved)

prune61.0ms (1.3%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	131	0	131
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	131	4	135

Error

Counts

135 → 4

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.0b	(*.f32 1/2 (+.f32 x x))
✓	0.1b	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
✓	0.2b	(*.f32 1/2 (log1p.f32 (/.f32 4 (-.f32 (/.f32 2 x) 2))))
✓	0.1b	(.f32 1/2 (log1p.f32 (.f32 (/.f32 2 (-.f32 1 x)) x)))

Compiler

Compiled 39 to 32 computations (17.9% saved)

regimes71.0ms (1.5%)

Counts

7 → 1

Calls

Call 1

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

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

Calls

4 calls:

50.0ms	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
10.0ms	(/.f32 (*.f32 2 x) (-.f32 1 x))
5.0ms	(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))
4.0ms	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 87 to 69 computations (20.7% saved)

regimes5.0ms (0.1%)

Counts

5 → 1

Calls

Call 1

Inputs
(*.f32 1/2 (+.f32 x x))
(*.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 29 computations (23.7% saved)

regimes5.0ms (0.1%)

Accuracy

Total -31.0b remaining (-2990.4%)

Threshold costs -31.0b (-2990.4%)

Counts

3 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
1.0b	1	`x`

Compiler

Compiled 18 to 12 computations (33.3% 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 x))

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 x))

Compiler

Compiled 28 to 22 computations (21.4% saved)

soundness0.0ms (0%)

end21.0ms (0.4%)

Compiler: Compiled 26 to 20 computations (23.1% saved)

Details

analyze7.0ms (0.1%)

sample1.5s (31.5%)

preprocess8.0ms (0.2%)

simplify152.0ms (3.2%)

eval1.0ms (0%)

prune1.0ms (0%)

localize211.0ms (4.4%)

series2.0ms (0%)

rewrite78.0ms (1.6%)

simplify117.0ms (2.4%)

eval124.0ms (2.6%)

prune19.0ms (0.4%)

localize11.0ms (0.2%)

localize183.0ms (3.8%)

series2.0ms (0%)

rewrite96.0ms (2%)

simplify124.0ms (2.6%)

localize111.0ms (2.3%)

series1.0ms (0%)

rewrite78.0ms (1.6%)

simplify127.0ms (2.6%)

localize20.0ms (0.4%)

series1.0ms (0%)

rewrite89.0ms (1.9%)

simplify573.0ms (11.9%)

eval276.0ms (5.8%)

prune196.0ms (4.1%)

localize102.0ms (2.1%)

series1.0ms (0%)

rewrite105.0ms (2.2%)

simplify128.0ms (2.7%)

localize12.0ms (0.3%)

eval167.0ms (3.5%)

prune61.0ms (1.3%)

regimes71.0ms (1.5%)

regimes5.0ms (0.1%)

regimes5.0ms (0.1%)

simplify2.0ms (0%)

soundness0.0ms (0%)

end21.0ms (0.4%)

Profiling