Details

analyze6.0ms (0.1%)

Algorithm

1×

Search

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

Compiler

Compiled 4 to 3 computations (25% saved)

sample1.2s (24.4%)

Results

1.2s

8256×

body

256

valid

Bogosity

preprocess52.0ms (1%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
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)

simplify78.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

784×	`fma-def_binary32`
380×	`fma-neg_binary32`
251×	`times-frac_binary32`
239×	`div-sub_binary32`
176×	`associate-/l*_binary32`

Iterations

Useful iterations: 7 (0.0ms)

Iter	Nodes	Cost
0	10	15
1	18	15
2	29	15
3	46	15
4	63	15
5	86	15
6	139	15
7	238	13
8	382	13
9	525	13
10	653	13
11	846	13
12	1118	13
13	1913	13
14	2897	13
15	3520	13
16	3552	13
17	3584	13
18	3620	13
19	3620	13

Stop Event

1×

saturated

Counts

1 → 8

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

eval2.0ms (0%)

Compiler: Compiled 79 to 63 computations (20.3% saved)

prune3.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	5	3	8
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	5	4	9

Error

0.0b

Counts

9 → 3

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

Compiler

Compiled 33 to 27 computations (18.2% saved)

localize45.0ms (0.9%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 29 computations (23.7% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite56.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

870×	`pow1_binary32`
811×	`add-log-exp_binary32`
811×	`expm1-log1p-u_binary32`
810×	`log1p-expm1-u_binary32`
797×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	173	29
2	2175	29

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (/.f32 -2 (+.f32 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -2 (/.f32 1 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -2 (+.f32 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 -2 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) (pow.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) 2) (cbrt.f32 (/.f32 -2 (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 -2 (+.f32 x -1))) (sqrt.f32 (/.f32 -2 (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 1 (+.f32 1 (neg.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (+.f32 x -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -2 (+.f32 -1 (pow.f32 x 3))) (fma.f32 x x (-.f32 1 (.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 -2 (fma.f32 x x -1)) (+.f32 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 -2 (+.f32 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 -2 (+.f32 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 -2 (+.f32 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (+.f32 x -1) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 -2 (+.f32 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 -2 (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 -2 (+.f32 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 -2 (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 -2 (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 -2 (+.f32 x -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (.f32 x (/.f32 -2 (+.f32 x -1))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 x (.f32 (+.f32 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 x -1) (.f32 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 -2 x) (+.f32 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (.f32 -2 x)) (+.f32 1 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 -2 x) 1) (+.f32 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 -2 x) (pow.f32 (cbrt.f32 (+.f32 x -1)) 2)) (cbrt.f32 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (.f32 -2 x) (sqrt.f32 (+.f32 x -1))) (sqrt.f32 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 2 x) (+.f32 1 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 x 2) (+.f32 1 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 x (/.f32 -2 (+.f32 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 x (/.f32 -2 (+.f32 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 x (/.f32 -2 (+.f32 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (/.f32 -2 (+.f32 x -1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 x (/.f32 -2 (+.f32 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 x 3) (pow.f32 (/.f32 -2 (+.f32 x -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (/.f32 -2 (+.f32 x -1)) 3) (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1))))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1))))) 2) (cbrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1))))) (sqrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 (.f32 x (/.f32 -2 (+.f32 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (/.f32 -2 (+.f32 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (/.f32 1 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -2 (+.f32 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 -2 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) (pow.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) 2) (cbrt.f32 (/.f32 -2 (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 -2 (+.f32 x -1))) (sqrt.f32 (/.f32 -2 (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 1 (+.f32 1 (neg.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (+.f32 x -1)) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -2 (+.f32 -1 (pow.f32 x 3))) (fma.f32 x x (-.f32 1 (*.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 -2 (fma.f32 x x -1)) (+.f32 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 -2 (+.f32 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 -2 (+.f32 x -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 -2 (+.f32 x -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (+.f32 x -1) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 -2 (+.f32 x -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 -2 (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 -2 (+.f32 x -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 -2 (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 -2 (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 -2 (+.f32 x -1))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 x (*.f32 (+.f32 x -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 x -1) (*.f32 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -2 x) (+.f32 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 -2 x)) (+.f32 1 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 -2 x) 1) (+.f32 x -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 -2 x) (pow.f32 (cbrt.f32 (+.f32 x -1)) 2)) (cbrt.f32 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 -2 x) (sqrt.f32 (+.f32 x -1))) (sqrt.f32 (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 2 x) (+.f32 1 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 x 2) (+.f32 1 (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (/.f32 -2 (+.f32 x -1))) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 x 3) (pow.f32 (/.f32 -2 (+.f32 x -1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (/.f32 -2 (+.f32 x -1)) 3) (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))) 2) (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))) (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))))))))

simplify49.0ms (1%)

Algorithm

1×	egg-herbie

Rules

709×	`fma-def_binary32`
542×	`unswap-sqr_binary32`
273×	`associate-*l/_binary32`
222×	`associate-+l+_binary32`
208×	`log-prod_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	188	1363
1	502	1168
2	1826	990

Stop Event

1×	node limit

Counts

95 → 143

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 1 (/.f32 -2 (+.f32 x -1))) 1)
(*.f32 -2 (/.f32 1 (+.f32 x -1)))
(*.f32 (/.f32 -2 (+.f32 x -1)) 1)
(*.f32 1 (/.f32 -2 (+.f32 x -1)))
(*.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) (pow.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) 2))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) 2) (cbrt.f32 (/.f32 -2 (+.f32 x -1))))
(*.f32 (sqrt.f32 (/.f32 -2 (+.f32 x -1))) (sqrt.f32 (/.f32 -2 (+.f32 x -1))))
(*.f32 2 (/.f32 1 (+.f32 1 (neg.f32 x))))
(*.f32 (/.f32 1 (+.f32 x -1)) -2)
(.f32 (/.f32 -2 (+.f32 -1 (pow.f32 x 3))) (fma.f32 x x (-.f32 1 (.f32 x -1))))
(*.f32 (/.f32 -2 (fma.f32 x x -1)) (+.f32 x 1))
(pow.f32 (/.f32 -2 (+.f32 x -1)) 1)
(pow.f32 (pow.f32 (/.f32 -2 (+.f32 x -1)) 3) 1/3)
(pow.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) 3)
(pow.f32 (sqrt.f32 (/.f32 -2 (+.f32 x -1))) 2)
(pow.f32 (*.f32 (+.f32 x -1) -1/2) -1)
(sqrt.f32 (pow.f32 (/.f32 -2 (+.f32 x -1)) 2))
(log.f32 (exp.f32 (/.f32 -2 (+.f32 x -1))))
(cbrt.f32 (pow.f32 (/.f32 -2 (+.f32 x -1)) 3))
(expm1.f32 (log1p.f32 (/.f32 -2 (+.f32 x -1))))
(log1p.f32 (expm1.f32 (/.f32 -2 (+.f32 x -1))))
(exp.f32 (log.f32 (/.f32 -2 (+.f32 x -1))))
(-.f32 (+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 1) 1)
(/.f32 x (*.f32 (+.f32 x -1) -1/2))
(/.f32 1 (/.f32 (+.f32 x -1) (*.f32 -2 x)))
(/.f32 (*.f32 -2 x) (+.f32 x -1))
(/.f32 (neg.f32 (*.f32 -2 x)) (+.f32 1 (neg.f32 x)))
(/.f32 (/.f32 (*.f32 -2 x) 1) (+.f32 x -1))
(/.f32 (/.f32 (*.f32 -2 x) (pow.f32 (cbrt.f32 (+.f32 x -1)) 2)) (cbrt.f32 (+.f32 x -1)))
(/.f32 (/.f32 (*.f32 -2 x) (sqrt.f32 (+.f32 x -1))) (sqrt.f32 (+.f32 x -1)))
(/.f32 (*.f32 2 x) (+.f32 1 (neg.f32 x)))
(/.f32 (*.f32 x 2) (+.f32 1 (neg.f32 x)))
(pow.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 1)
(pow.f32 (pow.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 3) 1/3)
(pow.f32 (cbrt.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 3)
(pow.f32 (sqrt.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 2)
(sqrt.f32 (pow.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 2))
(log.f32 (pow.f32 (exp.f32 (/.f32 -2 (+.f32 x -1))) x))
(cbrt.f32 (pow.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 3))
(cbrt.f32 (*.f32 (pow.f32 x 3) (pow.f32 (/.f32 -2 (+.f32 x -1)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 -2 (+.f32 x -1)) 3) (pow.f32 x 3)))
(expm1.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))
(log1p.f32 (expm1.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))
(exp.f32 (log.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))
(-.f32 (+.f32 1 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))) 1)
(.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))) 1)
(.f32 1 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))))
(.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))) 2))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1))))) 2) (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))))
(.f32 (sqrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1))))) (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))))
(pow.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 1)
(pow.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 2))
(log.f32 (+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))))

Outputs
2
(+.f32 (*.f32 2 x) 2)
(fma.f32 2 x 2)
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 x) 2))
(fma.f32 2 (*.f32 x x) (fma.f32 2 x 2))
(fma.f32 2 (fma.f32 x x x) 2)
(+.f32 (.f32 2 (pow.f32 x 3)) (+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 x) 2)))
(fma.f32 2 (pow.f32 x 3) (fma.f32 2 (*.f32 x x) (fma.f32 2 x 2)))
(fma.f32 2 (pow.f32 x 3) (fma.f32 2 (fma.f32 x x x) 2))
(fma.f32 2 (+.f32 (pow.f32 x 3) (fma.f32 x x 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 x x)) (/.f32 2 x)))
(+.f32 (/.f32 -2 (*.f32 x x)) (/.f32 -2 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 x) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3)))))
(-.f32 (/.f32 -2 x) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3))))
(+.f32 (/.f32 -2 (*.f32 x x)) (-.f32 (/.f32 -2 x) (/.f32 2 (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 (/.f32 2 x) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3)))) (/.f32 2 (pow.f32 x 4))))
(+.f32 (-.f32 (/.f32 -2 x) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3)))) (/.f32 -2 (pow.f32 x 4)))
(+.f32 (/.f32 -2 x) (-.f32 (+.f32 (/.f32 -2 (*.f32 x x)) (/.f32 -2 (pow.f32 x 3))) (/.f32 2 (pow.f32 x 4))))
(/.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 x x)) (/.f32 2 x)))
(+.f32 (/.f32 -2 (*.f32 x x)) (/.f32 -2 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 x) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3)))))
(-.f32 (/.f32 -2 x) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3))))
(+.f32 (/.f32 -2 (*.f32 x x)) (-.f32 (/.f32 -2 x) (/.f32 2 (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 (/.f32 2 x) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3)))) (/.f32 2 (pow.f32 x 4))))
(+.f32 (-.f32 (/.f32 -2 x) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3)))) (/.f32 -2 (pow.f32 x 4)))
(+.f32 (/.f32 -2 x) (-.f32 (+.f32 (/.f32 -2 (*.f32 x x)) (/.f32 -2 (pow.f32 x 3))) (/.f32 2 (pow.f32 x 4))))
(*.f32 2 x)
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(.f32 2 (+.f32 (.f32 x x) x))
(*.f32 2 (fma.f32 x x x))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(fma.f32 2 (.f32 x x) (.f32 2 (+.f32 (pow.f32 x 3) x)))
(.f32 2 (+.f32 (+.f32 x (pow.f32 x 3)) (.f32 x x)))
(*.f32 2 (+.f32 (pow.f32 x 3) (fma.f32 x x 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)))))
(fma.f32 2 (.f32 x x) (fma.f32 2 (pow.f32 x 3) (.f32 2 (+.f32 x (pow.f32 x 4)))))
(fma.f32 2 (.f32 x x) (.f32 2 (+.f32 (pow.f32 x 3) (+.f32 x (pow.f32 x 4)))))
(*.f32 2 (+.f32 (+.f32 (fma.f32 x x x) (pow.f32 x 3)) (pow.f32 x 4)))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (/.f32 2 x)))
(+.f32 -2 (/.f32 -2 x))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 (+.f32 2 (/.f32 2 x)) (/.f32 2 (*.f32 x x))))
(+.f32 -2 (+.f32 (/.f32 -2 (*.f32 x x)) (/.f32 -2 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)))))))
(+.f32 -2 (neg.f32 (+.f32 (/.f32 2 x) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3))))))
(+.f32 -2 (-.f32 (/.f32 -2 x) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3)))))
(+.f32 (+.f32 -2 (/.f32 -2 x)) (+.f32 (/.f32 -2 (*.f32 x x)) (/.f32 -2 (pow.f32 x 3))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (/.f32 2 x)))
(+.f32 -2 (/.f32 -2 x))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 (+.f32 2 (/.f32 2 x)) (/.f32 2 (*.f32 x x))))
(+.f32 -2 (+.f32 (/.f32 -2 (*.f32 x x)) (/.f32 -2 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)))))))
(+.f32 -2 (neg.f32 (+.f32 (/.f32 2 x) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3))))))
(+.f32 -2 (-.f32 (/.f32 -2 x) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3)))))
(+.f32 (+.f32 -2 (/.f32 -2 x)) (+.f32 (/.f32 -2 (*.f32 x x)) (/.f32 -2 (pow.f32 x 3))))
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 2 x (*.f32 (pow.f32 x 3) 2/3))
(fma.f32 (pow.f32 x 3) 2/3 (*.f32 2 x))
(+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(fma.f32 2 x (fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5))))
(fma.f32 2 x (fma.f32 (pow.f32 x 3) 2/3 (*.f32 2/5 (pow.f32 x 5))))
(fma.f32 (pow.f32 x 3) 2/3 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2 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)))))
(fma.f32 2/7 (pow.f32 x 7) (fma.f32 2 x (fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))))
(fma.f32 2/7 (pow.f32 x 7) (fma.f32 2 x (fma.f32 (pow.f32 x 3) 2/3 (*.f32 2/5 (pow.f32 x 5)))))
(fma.f32 2/7 (pow.f32 x 7) (fma.f32 (pow.f32 x 3) 2/3 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2 x))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (/.f32 2 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 x) (log.f32 -1)) (/.f32 2/3 (pow.f32 x 3)))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2 x) (/.f32 2/3 (pow.f32 x 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 2/3 (pow.f32 x 3)) (+.f32 (log.f32 -1) (+.f32 (/.f32 2 x) (/.f32 2/5 (pow.f32 x 5)))))
(+.f32 (+.f32 (/.f32 2 x) (log.f32 -1)) (+.f32 (/.f32 2/5 (pow.f32 x 5)) (/.f32 2/3 (pow.f32 x 3))))
(+.f32 (/.f32 2 x) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (+.f32 (log.f32 -1) (/.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (/.f32 2 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 x) (log.f32 -1)) (/.f32 2/3 (pow.f32 x 3)))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2 x) (/.f32 2/3 (pow.f32 x 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 2/3 (pow.f32 x 3)) (+.f32 (log.f32 -1) (+.f32 (/.f32 2 x) (/.f32 2/5 (pow.f32 x 5)))))
(+.f32 (+.f32 (/.f32 2 x) (log.f32 -1)) (+.f32 (/.f32 2/5 (pow.f32 x 5)) (/.f32 2/3 (pow.f32 x 3))))
(+.f32 (/.f32 2 x) (+.f32 (/.f32 2/3 (pow.f32 x 3)) (+.f32 (log.f32 -1) (/.f32 2/5 (pow.f32 x 5)))))
(-.f32 (+.f32 1 (/.f32 -2 (+.f32 x -1))) 1)
(+.f32 1 (-.f32 (/.f32 -2 (+.f32 x -1)) 1))
(+.f32 (/.f32 -2 (+.f32 x -1)) 0)
(/.f32 -2 (+.f32 x -1))
(*.f32 -2 (/.f32 1 (+.f32 x -1)))
(+.f32 1 (-.f32 (/.f32 -2 (+.f32 x -1)) 1))
(+.f32 (/.f32 -2 (+.f32 x -1)) 0)
(/.f32 -2 (+.f32 x -1))
(*.f32 (/.f32 -2 (+.f32 x -1)) 1)
(+.f32 1 (-.f32 (/.f32 -2 (+.f32 x -1)) 1))
(+.f32 (/.f32 -2 (+.f32 x -1)) 0)
(/.f32 -2 (+.f32 x -1))
(*.f32 1 (/.f32 -2 (+.f32 x -1)))
(+.f32 1 (-.f32 (/.f32 -2 (+.f32 x -1)) 1))
(+.f32 (/.f32 -2 (+.f32 x -1)) 0)
(/.f32 -2 (+.f32 x -1))
(*.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) (pow.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) 2))
(+.f32 1 (-.f32 (/.f32 -2 (+.f32 x -1)) 1))
(+.f32 (/.f32 -2 (+.f32 x -1)) 0)
(/.f32 -2 (+.f32 x -1))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) 2) (cbrt.f32 (/.f32 -2 (+.f32 x -1))))
(+.f32 1 (-.f32 (/.f32 -2 (+.f32 x -1)) 1))
(+.f32 (/.f32 -2 (+.f32 x -1)) 0)
(/.f32 -2 (+.f32 x -1))
(*.f32 (sqrt.f32 (/.f32 -2 (+.f32 x -1))) (sqrt.f32 (/.f32 -2 (+.f32 x -1))))
(+.f32 1 (-.f32 (/.f32 -2 (+.f32 x -1)) 1))
(+.f32 (/.f32 -2 (+.f32 x -1)) 0)
(/.f32 -2 (+.f32 x -1))
(*.f32 2 (/.f32 1 (+.f32 1 (neg.f32 x))))
(/.f32 2 (-.f32 1 x))
(*.f32 (/.f32 1 (+.f32 x -1)) -2)
(+.f32 1 (-.f32 (/.f32 -2 (+.f32 x -1)) 1))
(+.f32 (/.f32 -2 (+.f32 x -1)) 0)
(/.f32 -2 (+.f32 x -1))
(.f32 (/.f32 -2 (+.f32 -1 (pow.f32 x 3))) (fma.f32 x x (-.f32 1 (.f32 x -1))))
(*.f32 (/.f32 -2 (+.f32 (pow.f32 x 3) -1)) (fma.f32 x x (-.f32 1 (neg.f32 x))))
(/.f32 (*.f32 -2 (fma.f32 x x (+.f32 x 1))) (+.f32 (pow.f32 x 3) -1))
(*.f32 (/.f32 -2 (+.f32 (pow.f32 x 3) -1)) (+.f32 1 (fma.f32 x x x)))
(*.f32 (/.f32 -2 (fma.f32 x x -1)) (+.f32 x 1))
(/.f32 (+.f32 -2 (/.f32 x -1/2)) (fma.f32 x x -1))
(/.f32 (fma.f32 x -2 -2) (fma.f32 x x -1))
(pow.f32 (/.f32 -2 (+.f32 x -1)) 1)
(+.f32 1 (-.f32 (/.f32 -2 (+.f32 x -1)) 1))
(+.f32 (/.f32 -2 (+.f32 x -1)) 0)
(/.f32 -2 (+.f32 x -1))
(pow.f32 (pow.f32 (/.f32 -2 (+.f32 x -1)) 3) 1/3)
(+.f32 1 (-.f32 (/.f32 -2 (+.f32 x -1)) 1))
(+.f32 (/.f32 -2 (+.f32 x -1)) 0)
(/.f32 -2 (+.f32 x -1))
(pow.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) 3)
(+.f32 1 (-.f32 (/.f32 -2 (+.f32 x -1)) 1))
(+.f32 (/.f32 -2 (+.f32 x -1)) 0)
(/.f32 -2 (+.f32 x -1))
(pow.f32 (sqrt.f32 (/.f32 -2 (+.f32 x -1))) 2)
(+.f32 1 (-.f32 (/.f32 -2 (+.f32 x -1)) 1))
(+.f32 (/.f32 -2 (+.f32 x -1)) 0)
(/.f32 -2 (+.f32 x -1))
(pow.f32 (*.f32 (+.f32 x -1) -1/2) -1)
(+.f32 1 (-.f32 (/.f32 -2 (+.f32 x -1)) 1))
(+.f32 (/.f32 -2 (+.f32 x -1)) 0)
(/.f32 -2 (+.f32 x -1))
(sqrt.f32 (pow.f32 (/.f32 -2 (+.f32 x -1)) 2))
(+.f32 1 (-.f32 (/.f32 -2 (+.f32 x -1)) 1))
(+.f32 (/.f32 -2 (+.f32 x -1)) 0)
(/.f32 -2 (+.f32 x -1))
(log.f32 (exp.f32 (/.f32 -2 (+.f32 x -1))))
(+.f32 1 (-.f32 (/.f32 -2 (+.f32 x -1)) 1))
(+.f32 (/.f32 -2 (+.f32 x -1)) 0)
(/.f32 -2 (+.f32 x -1))
(cbrt.f32 (pow.f32 (/.f32 -2 (+.f32 x -1)) 3))
(+.f32 1 (-.f32 (/.f32 -2 (+.f32 x -1)) 1))
(+.f32 (/.f32 -2 (+.f32 x -1)) 0)
(/.f32 -2 (+.f32 x -1))
(expm1.f32 (log1p.f32 (/.f32 -2 (+.f32 x -1))))
(+.f32 1 (-.f32 (/.f32 -2 (+.f32 x -1)) 1))
(+.f32 (/.f32 -2 (+.f32 x -1)) 0)
(/.f32 -2 (+.f32 x -1))
(log1p.f32 (expm1.f32 (/.f32 -2 (+.f32 x -1))))
(+.f32 1 (-.f32 (/.f32 -2 (+.f32 x -1)) 1))
(+.f32 (/.f32 -2 (+.f32 x -1)) 0)
(/.f32 -2 (+.f32 x -1))
(exp.f32 (log.f32 (/.f32 -2 (+.f32 x -1))))
(+.f32 1 (-.f32 (/.f32 -2 (+.f32 x -1)) 1))
(+.f32 (/.f32 -2 (+.f32 x -1)) 0)
(/.f32 -2 (+.f32 x -1))
(-.f32 (+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 1) 1)
(+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 0)
(*.f32 (/.f32 x (+.f32 x -1)) -2)
(/.f32 x (fma.f32 x -1/2 1/2))
(/.f32 x (*.f32 (+.f32 x -1) -1/2))
(+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 0)
(*.f32 (/.f32 x (+.f32 x -1)) -2)
(/.f32 x (fma.f32 x -1/2 1/2))
(/.f32 1 (/.f32 (+.f32 x -1) (*.f32 -2 x)))
(+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 0)
(*.f32 (/.f32 x (+.f32 x -1)) -2)
(/.f32 x (fma.f32 x -1/2 1/2))
(/.f32 (*.f32 -2 x) (+.f32 x -1))
(+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 0)
(*.f32 (/.f32 x (+.f32 x -1)) -2)
(/.f32 x (fma.f32 x -1/2 1/2))
(/.f32 (neg.f32 (*.f32 -2 x)) (+.f32 1 (neg.f32 x)))
(/.f32 2 (/.f32 (-.f32 1 x) x))
(*.f32 (/.f32 x (-.f32 1 x)) 2)
(/.f32 x (-.f32 1/2 (/.f32 x 2)))
(/.f32 (/.f32 (*.f32 -2 x) 1) (+.f32 x -1))
(+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 0)
(*.f32 (/.f32 x (+.f32 x -1)) -2)
(/.f32 x (fma.f32 x -1/2 1/2))
(/.f32 (/.f32 (*.f32 -2 x) (pow.f32 (cbrt.f32 (+.f32 x -1)) 2)) (cbrt.f32 (+.f32 x -1)))
(+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 0)
(*.f32 (/.f32 x (+.f32 x -1)) -2)
(/.f32 x (fma.f32 x -1/2 1/2))
(/.f32 (/.f32 (*.f32 -2 x) (sqrt.f32 (+.f32 x -1))) (sqrt.f32 (+.f32 x -1)))
(+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 0)
(*.f32 (/.f32 x (+.f32 x -1)) -2)
(/.f32 x (fma.f32 x -1/2 1/2))
(/.f32 (*.f32 2 x) (+.f32 1 (neg.f32 x)))
(/.f32 2 (/.f32 (-.f32 1 x) x))
(*.f32 (/.f32 x (-.f32 1 x)) 2)
(/.f32 x (-.f32 1/2 (/.f32 x 2)))
(/.f32 (*.f32 x 2) (+.f32 1 (neg.f32 x)))
(/.f32 2 (/.f32 (-.f32 1 x) x))
(*.f32 (/.f32 x (-.f32 1 x)) 2)
(/.f32 x (-.f32 1/2 (/.f32 x 2)))
(pow.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 1)
(+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 0)
(*.f32 (/.f32 x (+.f32 x -1)) -2)
(/.f32 x (fma.f32 x -1/2 1/2))
(pow.f32 (pow.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 3) 1/3)
(+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 0)
(*.f32 (/.f32 x (+.f32 x -1)) -2)
(/.f32 x (fma.f32 x -1/2 1/2))
(pow.f32 (cbrt.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 3)
(+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 0)
(*.f32 (/.f32 x (+.f32 x -1)) -2)
(/.f32 x (fma.f32 x -1/2 1/2))
(pow.f32 (sqrt.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 2)
(+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 0)
(*.f32 (/.f32 x (+.f32 x -1)) -2)
(/.f32 x (fma.f32 x -1/2 1/2))
(sqrt.f32 (pow.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 2))
(+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 0)
(*.f32 (/.f32 x (+.f32 x -1)) -2)
(/.f32 x (fma.f32 x -1/2 1/2))
(log.f32 (pow.f32 (exp.f32 (/.f32 -2 (+.f32 x -1))) x))
(+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 0)
(*.f32 (/.f32 x (+.f32 x -1)) -2)
(/.f32 x (fma.f32 x -1/2 1/2))
(cbrt.f32 (pow.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 3))
(+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 0)
(*.f32 (/.f32 x (+.f32 x -1)) -2)
(/.f32 x (fma.f32 x -1/2 1/2))
(cbrt.f32 (*.f32 (pow.f32 x 3) (pow.f32 (/.f32 -2 (+.f32 x -1)) 3)))
(+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 0)
(*.f32 (/.f32 x (+.f32 x -1)) -2)
(/.f32 x (fma.f32 x -1/2 1/2))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 -2 (+.f32 x -1)) 3) (pow.f32 x 3)))
(+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 0)
(*.f32 (/.f32 x (+.f32 x -1)) -2)
(/.f32 x (fma.f32 x -1/2 1/2))
(expm1.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))
(+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 0)
(*.f32 (/.f32 x (+.f32 x -1)) -2)
(/.f32 x (fma.f32 x -1/2 1/2))
(log1p.f32 (expm1.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))
(+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 0)
(*.f32 (/.f32 x (+.f32 x -1)) -2)
(/.f32 x (fma.f32 x -1/2 1/2))
(exp.f32 (log.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))
(+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 0)
(*.f32 (/.f32 x (+.f32 x -1)) -2)
(/.f32 x (fma.f32 x -1/2 1/2))
(-.f32 (+.f32 1 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))) 1)
(+.f32 1 (-.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x -1)) -2)) 0)
(log1p.f32 (/.f32 x (fma.f32 x -1/2 1/2)))
(.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))) 1)
(+.f32 1 (-.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x -1)) -2)) 0)
(log1p.f32 (/.f32 x (fma.f32 x -1/2 1/2)))
(.f32 1 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))))
(+.f32 1 (-.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x -1)) -2)) 0)
(log1p.f32 (/.f32 x (fma.f32 x -1/2 1/2)))
(.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))) 2))
(+.f32 1 (-.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x -1)) -2)) 0)
(log1p.f32 (/.f32 x (fma.f32 x -1/2 1/2)))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1))))) 2) (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))))
(+.f32 1 (-.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x -1)) -2)) 0)
(log1p.f32 (/.f32 x (fma.f32 x -1/2 1/2)))
(.f32 (sqrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1))))) (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))))
(+.f32 1 (-.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x -1)) -2)) 0)
(log1p.f32 (/.f32 x (fma.f32 x -1/2 1/2)))
(pow.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 1)
(+.f32 1 (-.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x -1)) -2)) 0)
(log1p.f32 (/.f32 x (fma.f32 x -1/2 1/2)))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 3) 1/3)
(+.f32 1 (-.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x -1)) -2)) 0)
(log1p.f32 (/.f32 x (fma.f32 x -1/2 1/2)))
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))) 3)
(+.f32 1 (-.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x -1)) -2)) 0)
(log1p.f32 (/.f32 x (fma.f32 x -1/2 1/2)))
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))) 2)
(+.f32 1 (-.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x -1)) -2)) 0)
(log1p.f32 (/.f32 x (fma.f32 x -1/2 1/2)))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 2))
(+.f32 1 (-.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x -1)) -2)) 0)
(log1p.f32 (/.f32 x (fma.f32 x -1/2 1/2)))
(log.f32 (+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 1))
(+.f32 1 (-.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x -1)) -2)) 0)
(log1p.f32 (/.f32 x (fma.f32 x -1/2 1/2)))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 3))
(+.f32 1 (-.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x -1)) -2)) 0)
(log1p.f32 (/.f32 x (fma.f32 x -1/2 1/2)))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))))
(+.f32 1 (-.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x -1)) -2)) 0)
(log1p.f32 (/.f32 x (fma.f32 x -1/2 1/2)))
(exp.f32 (log.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))))
(+.f32 1 (-.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 1))
(+.f32 (log1p.f32 (*.f32 (/.f32 x (+.f32 x -1)) -2)) 0)
(log1p.f32 (/.f32 x (fma.f32 x -1/2 1/2)))

localize37.0ms (0.7%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 28 computations (26.3% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite60.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

937×	`pow1_binary32`
879×	`add-log-exp_binary32`
878×	`expm1-log1p-u_binary32`
877×	`log1p-expm1-u_binary32`
862×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	29
1	178	29
2	2387	29

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (.f32 x (/.f32 2 (-.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 1 (.f32 x (/.f32 2 (-.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 (/.f32 2 (-.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) (pow.f32 (cbrt.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 2) (cbrt.f32 (.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) (sqrt.f32 (.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 -2 (/.f32 1 (/.f32 (neg.f32 (-.f32 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 x (-.f32 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (-.f32 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (neg.f32 (-.f32 1 x))) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 2 (-.f32 1 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 2 (-.f32 1 x)) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 2 (-.f32 1 x)) (sqrt.f32 x)) (sqrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 x (/.f32 2 (-.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 x (/.f32 2 (-.f32 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (/.f32 (-.f32 1 x) x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 4 (pow.f32 (/.f32 (-.f32 1 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 x (/.f32 2 (-.f32 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 x (/.f32 2 (-.f32 1 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.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 1 (/.f32 (-.f32 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 (-.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 x) (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (-.f32 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (.f32 (cbrt.f32 (-.f32 1 x)) (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) (pow.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) 2) (cbrt.f32 (/.f32 (-.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (-.f32 1 x)) (.f32 (sqrt.f32 (-.f32 1 x)) (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 (-.f32 1 x) x)) (sqrt.f32 (/.f32 (-.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 (-.f32 1 x)) (/.f32 1 (neg.f32 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 (pow.f32 (cbrt.f32 x) 2)) (/.f32 (-.f32 1 x) (cbrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (sqrt.f32 x)) (/.f32 (-.f32 1 x) (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) 1) (/.f32 (cbrt.f32 (-.f32 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (-.f32 1 x)) 1) (/.f32 (sqrt.f32 (-.f32 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 (/.f32 (-.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (-.f32 1 x)) (pow.f32 (cbrt.f32 x) 2)) (/.f32 (sqrt.f32 (-.f32 1 x)) (cbrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (sqrt.f32 x)) (/.f32 (cbrt.f32 (-.f32 1 x)) (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (-.f32 1 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (-.f32 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 x (-.f32 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (-.f32 1 x) (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (-.f32 1 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (-.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (-.f32 1 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (-.f32 1 x) 3) (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (-.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (-.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (-.f32 1 x) x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x))))) 2) (cbrt.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x))))) (sqrt.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 x (/.f32 2 (-.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 1 (*.f32 x (/.f32 2 (-.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 (/.f32 2 (-.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (pow.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2) (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -2 (/.f32 1 (/.f32 (neg.f32 (-.f32 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 x (-.f32 1 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (-.f32 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (neg.f32 (-.f32 1 x))) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 2 (-.f32 1 x)) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 2 (-.f32 1 x)) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 2 (-.f32 1 x)) (sqrt.f32 x)) (sqrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 (-.f32 1 x) x) 1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 4 (pow.f32 (/.f32 (-.f32 1 x) x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x +.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 1 (/.f32 (-.f32 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (-.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 x) (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (-.f32 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (*.f32 (cbrt.f32 (-.f32 1 x)) (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) (pow.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) 2) (cbrt.f32 (/.f32 (-.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (-.f32 1 x)) (*.f32 (sqrt.f32 (-.f32 1 x)) (/.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 (-.f32 1 x) x)) (sqrt.f32 (/.f32 (-.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (neg.f32 (-.f32 1 x)) (/.f32 1 (neg.f32 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 (pow.f32 (cbrt.f32 x) 2)) (/.f32 (-.f32 1 x) (cbrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 x)) (/.f32 (-.f32 1 x) (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) 1) (/.f32 (cbrt.f32 (-.f32 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (-.f32 1 x)) 1) (/.f32 (sqrt.f32 (-.f32 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 (/.f32 (-.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (-.f32 1 x)) (pow.f32 (cbrt.f32 x) 2)) (/.f32 (sqrt.f32 (-.f32 1 x)) (cbrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (sqrt.f32 x)) (/.f32 (cbrt.f32 (-.f32 1 x)) (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 1 x) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (-.f32 1 x) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (-.f32 1 x) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 x (-.f32 1 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (-.f32 1 x) (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (-.f32 1 x) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (-.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (-.f32 1 x) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (-.f32 1 x) 3) (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (-.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (-.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (-.f32 1 x) x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 2) (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (*.f32 x (/.f32 2 (-.f32 1 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))))))

simplify45.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

599×	`fma-def_binary32`
514×	`unswap-sqr_binary32`
466×	`associate-/r*_binary32`
433×	`times-frac_binary32`
324×	`associate-*l/_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	201	1343
1	518	1207
2	1956	1079

Stop Event

1×	node limit

Counts

110 → 129

Calls

Call 1

Inputs
(*.f32 2 x)
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(/.f32 1 x)
(-.f32 (/.f32 1 x) 1)
(-.f32 (/.f32 1 x) 1)
(-.f32 (/.f32 1 x) 1)
-1
(-.f32 (/.f32 1 x) 1)
(-.f32 (/.f32 1 x) 1)
(-.f32 (/.f32 1 x) 1)
-1
(-.f32 (/.f32 1 x) 1)
(-.f32 (/.f32 1 x) 1)
(-.f32 (/.f32 1 x) 1)
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (.f32 2/7 (pow.f32 x 7)) (+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(-.f32 (+.f32 1 (*.f32 x (/.f32 2 (-.f32 1 x)))) 1)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(.f32 1 (.f32 x (/.f32 2 (-.f32 1 x))))
(*.f32 x (/.f32 2 (-.f32 1 x)))
(.f32 (.f32 x (/.f32 2 (-.f32 1 x))) 1)
(.f32 (cbrt.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) (pow.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))
(.f32 (pow.f32 (cbrt.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 2) (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(.f32 (sqrt.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(*.f32 -2 (/.f32 1 (/.f32 (neg.f32 (-.f32 1 x)) x)))
(*.f32 (/.f32 x (-.f32 1 x)) 2)
(*.f32 (/.f32 2 (-.f32 1 x)) x)
(*.f32 (/.f32 2 (neg.f32 (-.f32 1 x))) (neg.f32 x))
(.f32 (.f32 (/.f32 2 (-.f32 1 x)) 1) x)
(.f32 (.f32 (/.f32 2 (-.f32 1 x)) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x))
(.f32 (.f32 (/.f32 2 (-.f32 1 x)) (sqrt.f32 x)) (sqrt.f32 x))
(pow.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 1)
(pow.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 3) 1/3)
(pow.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 3)
(pow.f32 (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2)
(pow.f32 (*.f32 (/.f32 (-.f32 1 x) x) 1/2) -1)
(sqrt.f32 (/.f32 4 (pow.f32 (/.f32 (-.f32 1 x) x) 2)))
(log.f32 (exp.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(cbrt.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 3))
(expm1.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(log1p.f32 (expm1.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(exp.f32 (log.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(+.f32 (/.f32 1 x) -1)
(-.f32 (/.f32 1 x) 1)
(-.f32 (+.f32 1 (/.f32 (-.f32 1 x) x)) 1)
(*.f32 1 (/.f32 (-.f32 1 x) x))
(*.f32 (-.f32 1 x) (/.f32 1 x))
(*.f32 (/.f32 (-.f32 1 x) x) 1)
(.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (.f32 (cbrt.f32 (-.f32 1 x)) (/.f32 1 x)))
(*.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) (pow.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) 2))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) 2) (cbrt.f32 (/.f32 (-.f32 1 x) x)))
(.f32 (sqrt.f32 (-.f32 1 x)) (.f32 (sqrt.f32 (-.f32 1 x)) (/.f32 1 x)))
(*.f32 (sqrt.f32 (/.f32 (-.f32 1 x) x)) (sqrt.f32 (/.f32 (-.f32 1 x) x)))
(*.f32 (neg.f32 (-.f32 1 x)) (/.f32 1 (neg.f32 x)))
(*.f32 (/.f32 1 x) (-.f32 1 x))
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 x) 2)) (/.f32 (-.f32 1 x) (cbrt.f32 x)))
(*.f32 (/.f32 1 (sqrt.f32 x)) (/.f32 (-.f32 1 x) (sqrt.f32 x)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) 1) (/.f32 (cbrt.f32 (-.f32 1 x)) x))
(*.f32 (/.f32 (sqrt.f32 (-.f32 1 x)) 1) (/.f32 (sqrt.f32 (-.f32 1 x)) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 (/.f32 (-.f32 1 x) x)))
(*.f32 (/.f32 (sqrt.f32 (-.f32 1 x)) (pow.f32 (cbrt.f32 x) 2)) (/.f32 (sqrt.f32 (-.f32 1 x)) (cbrt.f32 x)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (sqrt.f32 x)) (/.f32 (cbrt.f32 (-.f32 1 x)) (sqrt.f32 x)))
(pow.f32 (/.f32 (-.f32 1 x) x) 1)
(pow.f32 (pow.f32 (/.f32 (-.f32 1 x) x) 3) 1/3)
(pow.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) 3)
(pow.f32 (sqrt.f32 (/.f32 (-.f32 1 x) x)) 2)
(pow.f32 (/.f32 x (-.f32 1 x)) -1)
(neg.f32 (/.f32 (-.f32 1 x) (neg.f32 x)))
(sqrt.f32 (pow.f32 (/.f32 (-.f32 1 x) x) 2))
(log.f32 (exp.f32 (/.f32 (-.f32 1 x) x)))
(cbrt.f32 (pow.f32 (/.f32 (-.f32 1 x) x) 3))
(cbrt.f32 (/.f32 (pow.f32 (-.f32 1 x) 3) (pow.f32 x 3)))
(expm1.f32 (log1p.f32 (/.f32 (-.f32 1 x) x)))
(log1p.f32 (expm1.f32 (/.f32 (-.f32 1 x) x)))
(exp.f32 (log.f32 (/.f32 (-.f32 1 x) x)))
(-.f32 (+.f32 1 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 1)
(.f32 1 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))))
(.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 1)
(.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 2))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x))))) 2) (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
(.f32 (sqrt.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x))))) (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
(pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 1)
(pow.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))
(log.f32 (+.f32 1 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))

Outputs
(*.f32 2 x)
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(.f32 2 (+.f32 (.f32 x x) x))
(*.f32 2 (fma.f32 x x x))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(fma.f32 2 (.f32 x x) (.f32 2 (+.f32 (pow.f32 x 3) x)))
(.f32 2 (+.f32 (.f32 x x) (+.f32 x (pow.f32 x 3))))
(.f32 2 (+.f32 x (.f32 x (fma.f32 x x 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)))))
(fma.f32 2 (.f32 x x) (fma.f32 2 (pow.f32 x 3) (.f32 2 (+.f32 x (pow.f32 x 4)))))
(fma.f32 2 (.f32 x x) (.f32 2 (+.f32 (+.f32 x (pow.f32 x 3)) (pow.f32 x 4))))
(*.f32 2 (+.f32 (fma.f32 x x (+.f32 x (pow.f32 x 3))) (pow.f32 x 4)))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(+.f32 -2 (neg.f32 (/.f32 2 x)))
(+.f32 -2 (/.f32 -2 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 x) (/.f32 2 (*.f32 x x)))))
(-.f32 -2 (+.f32 (/.f32 2 x) (/.f32 2 (*.f32 x x))))
(+.f32 -2 (+.f32 (/.f32 -2 x) (/.f32 -2 (*.f32 x 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)))))))
(+.f32 -2 (neg.f32 (+.f32 (/.f32 2 x) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3))))))
(-.f32 -2 (+.f32 (/.f32 2 (*.f32 x x)) (+.f32 (/.f32 2 x) (/.f32 2 (pow.f32 x 3)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(+.f32 -2 (neg.f32 (/.f32 2 x)))
(+.f32 -2 (/.f32 -2 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 x) (/.f32 2 (*.f32 x x)))))
(-.f32 -2 (+.f32 (/.f32 2 x) (/.f32 2 (*.f32 x x))))
(+.f32 -2 (+.f32 (/.f32 -2 x) (/.f32 -2 (*.f32 x 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)))))))
(+.f32 -2 (neg.f32 (+.f32 (/.f32 2 x) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3))))))
(-.f32 -2 (+.f32 (/.f32 2 (*.f32 x x)) (+.f32 (/.f32 2 x) (/.f32 2 (pow.f32 x 3)))))
(/.f32 1 x)
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
-1
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
-1
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 2 x (*.f32 (pow.f32 x 3) 2/3))
(fma.f32 (pow.f32 x 3) 2/3 (*.f32 2 x))
(+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(fma.f32 2 x (fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5))))
(fma.f32 2 x (fma.f32 (pow.f32 x 3) 2/3 (*.f32 2/5 (pow.f32 x 5))))
(fma.f32 (pow.f32 x 3) 2/3 (fma.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)))))
(fma.f32 2/7 (pow.f32 x 7) (fma.f32 2 x (fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))))
(fma.f32 2/7 (pow.f32 x 7) (fma.f32 2 x (fma.f32 (pow.f32 x 3) 2/3 (*.f32 2/5 (pow.f32 x 5)))))
(fma.f32 2/7 (pow.f32 x 7) (fma.f32 (pow.f32 x 3) 2/3 (fma.f32 2 x (*.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (/.f32 2 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 x) (log.f32 -1)) (/.f32 2/3 (pow.f32 x 3)))
(+.f32 (/.f32 2 x) (+.f32 (log.f32 -1) (/.f32 2/3 (pow.f32 x 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 2/3 (pow.f32 x 3)) (+.f32 (log.f32 -1) (+.f32 (/.f32 2 x) (/.f32 2/5 (pow.f32 x 5)))))
(+.f32 (+.f32 (/.f32 2 x) (log.f32 -1)) (+.f32 (/.f32 2/5 (pow.f32 x 5)) (/.f32 2/3 (pow.f32 x 3))))
(+.f32 (log.f32 -1) (+.f32 (+.f32 (/.f32 2 x) (/.f32 2/5 (pow.f32 x 5))) (/.f32 2/3 (pow.f32 x 3))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (/.f32 2 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 x) (log.f32 -1)) (/.f32 2/3 (pow.f32 x 3)))
(+.f32 (/.f32 2 x) (+.f32 (log.f32 -1) (/.f32 2/3 (pow.f32 x 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 2/3 (pow.f32 x 3)) (+.f32 (log.f32 -1) (+.f32 (/.f32 2 x) (/.f32 2/5 (pow.f32 x 5)))))
(+.f32 (+.f32 (/.f32 2 x) (log.f32 -1)) (+.f32 (/.f32 2/5 (pow.f32 x 5)) (/.f32 2/3 (pow.f32 x 3))))
(+.f32 (log.f32 -1) (+.f32 (+.f32 (/.f32 2 x) (/.f32 2/5 (pow.f32 x 5))) (/.f32 2/3 (pow.f32 x 3))))
(-.f32 (+.f32 1 (*.f32 x (/.f32 2 (-.f32 1 x)))) 1)
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 2 (/.f32 x (-.f32 1 x)))
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(.f32 1 (.f32 x (/.f32 2 (-.f32 1 x))))
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 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 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(.f32 (.f32 x (/.f32 2 (-.f32 1 x))) 1)
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(.f32 (cbrt.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) (pow.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(.f32 (pow.f32 (cbrt.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 2) (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(.f32 (sqrt.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 -2 (/.f32 1 (/.f32 (neg.f32 (-.f32 1 x)) x)))
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 (/.f32 x (-.f32 1 x)) 2)
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 (/.f32 2 (-.f32 1 x)) x)
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 (/.f32 2 (neg.f32 (-.f32 1 x))) (neg.f32 x))
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(.f32 (.f32 (/.f32 2 (-.f32 1 x)) 1) x)
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(.f32 (.f32 (/.f32 2 (-.f32 1 x)) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x))
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(.f32 (.f32 (/.f32 2 (-.f32 1 x)) (sqrt.f32 x)) (sqrt.f32 x))
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(pow.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 1)
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(pow.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 3) 1/3)
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(pow.f32 (cbrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 3)
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(pow.f32 (sqrt.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2)
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(pow.f32 (*.f32 (/.f32 (-.f32 1 x) x) 1/2) -1)
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(sqrt.f32 (/.f32 4 (pow.f32 (/.f32 (-.f32 1 x) x) 2)))
(sqrt.f32 (pow.f32 (+.f32 -1/2 (/.f32 1/2 x)) -2))
(log.f32 (exp.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(cbrt.f32 (pow.f32 (*.f32 x (/.f32 2 (-.f32 1 x))) 3))
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(expm1.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(log1p.f32 (expm1.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(exp.f32 (log.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(+.f32 1 (-.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1))
(+.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 0)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(-.f32 (/.f32 1 x) 1)
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(-.f32 (+.f32 1 (/.f32 (-.f32 1 x) x)) 1)
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(*.f32 1 (/.f32 (-.f32 1 x) x))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(*.f32 (-.f32 1 x) (/.f32 1 x))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(*.f32 (/.f32 (-.f32 1 x) x) 1)
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (.f32 (cbrt.f32 (-.f32 1 x)) (/.f32 1 x)))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(*.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) (pow.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) 2))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) 2) (cbrt.f32 (/.f32 (-.f32 1 x) x)))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(.f32 (sqrt.f32 (-.f32 1 x)) (.f32 (sqrt.f32 (-.f32 1 x)) (/.f32 1 x)))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(*.f32 (sqrt.f32 (/.f32 (-.f32 1 x) x)) (sqrt.f32 (/.f32 (-.f32 1 x) x)))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(*.f32 (neg.f32 (-.f32 1 x)) (/.f32 1 (neg.f32 x)))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(*.f32 (/.f32 1 x) (-.f32 1 x))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(*.f32 (/.f32 1 (pow.f32 (cbrt.f32 x) 2)) (/.f32 (-.f32 1 x) (cbrt.f32 x)))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(*.f32 (/.f32 1 (sqrt.f32 x)) (/.f32 (-.f32 1 x) (sqrt.f32 x)))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) 1) (/.f32 (cbrt.f32 (-.f32 1 x)) x))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(*.f32 (/.f32 (sqrt.f32 (-.f32 1 x)) 1) (/.f32 (sqrt.f32 (-.f32 1 x)) x))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 (/.f32 (-.f32 1 x) x)))
(*.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (pow.f32 (cbrt.f32 x) 2)))
(/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (/.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 (+.f32 (/.f32 1 x) -1))))
(*.f32 (/.f32 (sqrt.f32 (-.f32 1 x)) (pow.f32 (cbrt.f32 x) 2)) (/.f32 (sqrt.f32 (-.f32 1 x)) (cbrt.f32 x)))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (sqrt.f32 x)) (/.f32 (cbrt.f32 (-.f32 1 x)) (sqrt.f32 x)))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(pow.f32 (/.f32 (-.f32 1 x) x) 1)
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(pow.f32 (pow.f32 (/.f32 (-.f32 1 x) x) 3) 1/3)
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(pow.f32 (cbrt.f32 (/.f32 (-.f32 1 x) x)) 3)
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(pow.f32 (sqrt.f32 (/.f32 (-.f32 1 x) x)) 2)
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(pow.f32 (/.f32 x (-.f32 1 x)) -1)
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(neg.f32 (/.f32 (-.f32 1 x) (neg.f32 x)))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(sqrt.f32 (pow.f32 (/.f32 (-.f32 1 x) x) 2))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(log.f32 (exp.f32 (/.f32 (-.f32 1 x) x)))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(cbrt.f32 (pow.f32 (/.f32 (-.f32 1 x) x) 3))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(cbrt.f32 (/.f32 (pow.f32 (-.f32 1 x) 3) (pow.f32 x 3)))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(expm1.f32 (log1p.f32 (/.f32 (-.f32 1 x) x)))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(log1p.f32 (expm1.f32 (/.f32 (-.f32 1 x) x)))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(exp.f32 (log.f32 (/.f32 (-.f32 1 x) x)))
(+.f32 (/.f32 1 x) -1)
(/.f32 (-.f32 1 x) x)
(-.f32 (+.f32 1 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 1)
(+.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(.f32 1 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))))
(+.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x)))) 1)
(+.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 2))
(+.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x))))) 2) (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
(+.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(.f32 (sqrt.f32 (log1p.f32 (.f32 x (/.f32 2 (-.f32 1 x))))) (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
(+.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 1)
(+.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 3) 1/3)
(+.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 3)
(+.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 2)
(+.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 2))
(+.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log.f32 (+.f32 1 (*.f32 x (/.f32 2 (-.f32 1 x)))))
(+.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x)))) 3))
(+.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
(+.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))))
(+.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))

localize61.0ms (1.2%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 27 computations (25% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite54.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

912×	`pow1_binary32`
854×	`add-log-exp_binary32`
853×	`expm1-log1p-u_binary32`
852×	`log1p-expm1-u_binary32`
838×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	22
1	170	22
2	2249	22

Stop Event

1×	node limit

Counts

2 → 58

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 1 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 x (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (/.f32 1 (/.f32 (-.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 x (/.f32 1 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x (*.f32 2 (/.f32 1 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 x) (/.f32 1 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 (/.f32 2 (-.f32 1 x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) (pow.f32 (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 2) (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 2 x)) 2) (*.f32 (cbrt.f32 (*.f32 2 x)) (/.f32 1 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) (sqrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 2 x)) (*.f32 (sqrt.f32 (*.f32 2 x)) (/.f32 1 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x -2) (/.f32 1 (neg.f32 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 1 x)) (*.f32 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 x 1) (/.f32 2 (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (-.f32 1 x)) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 2 x)) 2) 1) (/.f32 (cbrt.f32 (*.f32 2 x)) (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (*.f32 2 x)) 1) (/.f32 (sqrt.f32 (*.f32 2 x)) (-.f32 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 x (cbrt.f32 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 x (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 2 (cbrt.f32 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 (*.f32 2 x) (cbrt.f32 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 2 x)) 2) (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (*.f32 2 x)) (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 (sqrt.f32 (*.f32 2 x)) (cbrt.f32 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 2 (sqrt.f32 (-.f32 1 x))) (/.f32 x (sqrt.f32 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 x (sqrt.f32 (-.f32 1 x))) (/.f32 2 (sqrt.f32 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 (-.f32 1 x))) (/.f32 (*.f32 2 x) (sqrt.f32 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (*.f32 2 x)) 2) (sqrt.f32 (-.f32 1 x))) (/.f32 (cbrt.f32 (*.f32 2 x)) (sqrt.f32 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 2 x) (-.f32 1 (pow.f32 x 3))) (+.f32 1 (fma.f32 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (*.f32 2 x) (-.f32 1 (*.f32 x x))) (+.f32 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 1/2 (/.f32 (-.f32 1 x) x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (*.f32 2 x) (neg.f32 (-.f32 1 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (*.f32 2 x) 3) (pow.f32 (-.f32 1 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 2) (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) (sqrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (*.f32 (/.f32 2 (-.f32 1 x)) x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))))))

simplify62.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

594×	`fma-def_binary32`
577×	`associate-/l*_binary32`
409×	`associate-*l/_binary32`
356×	`unswap-sqr_binary32`
342×	`times-frac_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	189	1365
1	526	1208
2	1902	1061

Stop Event

1×	node limit

Counts

82 → 115

Calls

Call 1

Inputs
(*.f32 2 x)
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (+.f32 (.f32 2 x) (.f32 2 (pow.f32 x 4)))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (.f32 2/7 (pow.f32 x 7)) (+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(-.f32 (+.f32 1 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 1)
(*.f32 2 (/.f32 x (-.f32 1 x)))
(*.f32 2 (/.f32 1 (/.f32 (-.f32 1 x) x)))
(.f32 2 (.f32 x (/.f32 1 (-.f32 1 x))))
(.f32 x (.f32 2 (/.f32 1 (-.f32 1 x))))
(.f32 (.f32 2 x) (/.f32 1 (-.f32 1 x)))
(.f32 1 (.f32 (/.f32 2 (-.f32 1 x)) x))
(.f32 (.f32 (/.f32 2 (-.f32 1 x)) x) 1)
(.f32 (cbrt.f32 (.f32 (/.f32 2 (-.f32 1 x)) x)) (pow.f32 (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 2))
(.f32 (pow.f32 (cbrt.f32 (.f32 (/.f32 2 (-.f32 1 x)) x)) 2) (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(.f32 (pow.f32 (cbrt.f32 (.f32 2 x)) 2) (.f32 (cbrt.f32 (.f32 2 x)) (/.f32 1 (-.f32 1 x))))
(.f32 (sqrt.f32 (.f32 (/.f32 2 (-.f32 1 x)) x)) (sqrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(.f32 (sqrt.f32 (.f32 2 x)) (.f32 (sqrt.f32 (.f32 2 x)) (/.f32 1 (-.f32 1 x))))
(.f32 (.f32 x -2) (/.f32 1 (neg.f32 (-.f32 1 x))))
(.f32 (/.f32 1 (-.f32 1 x)) (.f32 2 x))
(*.f32 (/.f32 x 1) (/.f32 2 (-.f32 1 x)))
(*.f32 (/.f32 2 (-.f32 1 x)) x)
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 2 x)) 2) 1) (/.f32 (cbrt.f32 (*.f32 2 x)) (-.f32 1 x)))
(.f32 (/.f32 (sqrt.f32 (.f32 2 x)) 1) (/.f32 (sqrt.f32 (*.f32 2 x)) (-.f32 1 x)))
(*.f32 (/.f32 2 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 x (cbrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 x (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 2 (cbrt.f32 (-.f32 1 x))))
(.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 (.f32 2 x) (cbrt.f32 (-.f32 1 x))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 2 x)) 2) (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(.f32 (/.f32 (sqrt.f32 (.f32 2 x)) (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (/.f32 (sqrt.f32 (*.f32 2 x)) (cbrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 2 (sqrt.f32 (-.f32 1 x))) (/.f32 x (sqrt.f32 (-.f32 1 x))))
(*.f32 (/.f32 x (sqrt.f32 (-.f32 1 x))) (/.f32 2 (sqrt.f32 (-.f32 1 x))))
(.f32 (/.f32 1 (sqrt.f32 (-.f32 1 x))) (/.f32 (.f32 2 x) (sqrt.f32 (-.f32 1 x))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 2 x)) 2) (sqrt.f32 (-.f32 1 x))) (/.f32 (cbrt.f32 (*.f32 2 x)) (sqrt.f32 (-.f32 1 x))))
(.f32 (/.f32 (.f32 2 x) (-.f32 1 (pow.f32 x 3))) (+.f32 1 (fma.f32 x x x)))
(.f32 (/.f32 (.f32 2 x) (-.f32 1 (*.f32 x x))) (+.f32 x 1))
(pow.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 1)
(pow.f32 (pow.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 3) 1/3)
(pow.f32 (cbrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 3)
(pow.f32 (sqrt.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 2)
(pow.f32 (*.f32 1/2 (/.f32 (-.f32 1 x) x)) -1)
(neg.f32 (/.f32 (*.f32 2 x) (neg.f32 (-.f32 1 x))))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 2))
(log.f32 (exp.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x) 3))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 2 x) 3) (pow.f32 (-.f32 1 x) 3)))
(expm1.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(log1p.f32 (expm1.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(exp.f32 (log.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(-.f32 (+.f32 1 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 1)
(.f32 1 (log1p.f32 (.f32 (/.f32 2 (-.f32 1 x)) x)))
(.f32 (log1p.f32 (.f32 (/.f32 2 (-.f32 1 x)) x)) 1)
(.f32 (cbrt.f32 (log1p.f32 (.f32 (/.f32 2 (-.f32 1 x)) x))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 2))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 (/.f32 2 (-.f32 1 x)) x))) 2) (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))
(.f32 (sqrt.f32 (log1p.f32 (.f32 (/.f32 2 (-.f32 1 x)) x))) (sqrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))
(pow.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 1)
(pow.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 2))
(log.f32 (+.f32 1 (*.f32 (/.f32 2 (-.f32 1 x)) x)))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x)) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))))

Outputs
(*.f32 2 x)
(+.f32 (.f32 2 (pow.f32 x 2)) (.f32 2 x))
(*.f32 2 (fma.f32 x x x))
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 (pow.f32 x 3)) (*.f32 2 x)))
(fma.f32 2 (.f32 x x) (.f32 2 (+.f32 (pow.f32 x 3) x)))
(.f32 2 (+.f32 (.f32 x x) (+.f32 x (pow.f32 x 3))))
(.f32 2 (+.f32 x (.f32 x (fma.f32 x x 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)))))
(fma.f32 2 (.f32 x x) (fma.f32 2 (pow.f32 x 3) (.f32 2 (+.f32 x (pow.f32 x 4)))))
(fma.f32 2 (.f32 x x) (.f32 2 (+.f32 (pow.f32 x 3) (+.f32 x (pow.f32 x 4)))))
(.f32 2 (+.f32 (+.f32 x (.f32 x (fma.f32 x x x))) (pow.f32 x 4)))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(+.f32 -2 (neg.f32 (/.f32 2 x)))
(+.f32 -2 (/.f32 -2 x))
(-.f32 -2 (/.f32 2 x))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(+.f32 -2 (neg.f32 (+.f32 (/.f32 2 x) (/.f32 2 (*.f32 x x)))))
(-.f32 -2 (+.f32 (/.f32 2 x) (/.f32 2 (*.f32 x x))))
(+.f32 -2 (+.f32 (/.f32 -2 x) (/.f32 -2 (*.f32 x 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)))))))
(+.f32 -2 (neg.f32 (+.f32 (/.f32 2 x) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3))))))
(-.f32 -2 (+.f32 (/.f32 2 x) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3)))))
(+.f32 (-.f32 -2 (/.f32 2 x)) (+.f32 (/.f32 -2 (*.f32 x x)) (/.f32 -2 (pow.f32 x 3))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(+.f32 -2 (neg.f32 (/.f32 2 x)))
(+.f32 -2 (/.f32 -2 x))
(-.f32 -2 (/.f32 2 x))
(neg.f32 (+.f32 2 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(+.f32 -2 (neg.f32 (+.f32 (/.f32 2 x) (/.f32 2 (*.f32 x x)))))
(-.f32 -2 (+.f32 (/.f32 2 x) (/.f32 2 (*.f32 x x))))
(+.f32 -2 (+.f32 (/.f32 -2 x) (/.f32 -2 (*.f32 x 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)))))))
(+.f32 -2 (neg.f32 (+.f32 (/.f32 2 x) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3))))))
(-.f32 -2 (+.f32 (/.f32 2 x) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3)))))
(+.f32 (-.f32 -2 (/.f32 2 x)) (+.f32 (/.f32 -2 (*.f32 x x)) (/.f32 -2 (pow.f32 x 3))))
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 2 x (*.f32 (pow.f32 x 3) 2/3))
(fma.f32 (pow.f32 x 3) 2/3 (*.f32 2 x))
(+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(fma.f32 2 x (fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5))))
(fma.f32 2 x (fma.f32 (pow.f32 x 3) 2/3 (*.f32 2/5 (pow.f32 x 5))))
(fma.f32 (pow.f32 x 3) 2/3 (fma.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)))))
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eval158.0ms (3.1%)

Compiler: Compiled 5742 to 4629 computations (19.4% saved)

prune89.0ms (1.7%)

Pruning

12 alts after pruning (9 fresh and 3 done)

	Pruned	Kept	Total
New	378	9	387
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	378	12	390

Error

0.0b

Counts

390 → 12

Alt Table

Click to see full alt table

Status	Error	Program
	24.4b	(.f32 1/2 (-.f32 (+.f32 1 (log1p.f32 (.f32 (/.f32 2 (-.f32 1 x)) x))) 1))
	0.9b	(.f32 1/2 (+.f32 (.f32 2 x) (*.f32 2/3 (pow.f32 x 3))))
✓	0.1b	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
✓	0.2b	(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))))
	2.7b	(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 1 x))))
▶	31.3b	(*.f32 1/2 (log1p.f32 (-.f32 -2 (/.f32 2 x))))
▶	0.2b	(.f32 1/2 (log1p.f32 (.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2)))
✓	0.1b	(.f32 1/2 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))))
	2.6b	(.f32 1/2 (log1p.f32 (.f32 x 2)))
▶	1.8b	(.f32 1/2 (log1p.f32 (.f32 2 (+.f32 (*.f32 x x) x))))
▶	32.0b	(*.f32 1/2 (log1p.f32 -2))
▶	24.4b	(.f32 1/2 (log.f32 (+.f32 (.f32 x (/.f32 -2 (+.f32 x -1))) 1)))

Compiler

Compiled 225 to 189 computations (16% saved)

localize52.0ms (1%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 62 to 45 computations (27.4% saved)

series3.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite83.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

694×	`prod-diff_binary32`
513×	`log-prod_binary32`
280×	`fma-def_binary32`
276×	`pow2_binary32`
191×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	38
1	225	38
2	3137	38

Stop Event

1×	node limit

Counts

3 → 175

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x 1) (/.f32 1 (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))) (pow.f32 (cbrt.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))) 2) (cbrt.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2) (*.f32 (cbrt.f32 (+.f32 x 1)) (/.f32 1 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))) (sqrt.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 x 1)) (*.f32 (sqrt.f32 (+.f32 x 1)) (/.f32 1 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 -1 x -1) (/.f32 1 (neg.f32 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (+.f32 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2) 1) (/.f32 (cbrt.f32 (+.f32 x 1)) (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (+.f32 x 1)) 1) (/.f32 (sqrt.f32 (+.f32 x 1)) (-.f32 (/.f32 1 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2))) (/.f32 (+.f32 x 1) (cbrt.f32 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2))) (cbrt.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (sqrt.f32 (+.f32 x 1)) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2))) (/.f32 (sqrt.f32 (+.f32 x 1)) (cbrt.f32 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 x) x))) (/.f32 (+.f32 x 1) (sqrt.f32 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2) (sqrt.f32 (-.f32 (/.f32 1 x) x))) (/.f32 (cbrt.f32 (+.f32 x 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(pow.f32 (+.f32 x 1) 3) (pow.f32 (-.f32 (/.f32 1 x) x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (/.f32 (-.f32 (/.f32 1 x) x) (+.f32 x 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (+.f32 x 1) (neg.f32 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (+.f32 x 1) 3) (pow.f32 (-.f32 (/.f32 1 x) x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (-.f32 (log1p.f32 x) (log.f32 (-.f32 (/.f32 1 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (-.f32 (log1p.f32 x) (log.f32 (-.f32 (/.f32 1 x) x))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2 1)) 2)) (log.f32 (cbrt.f32 (fma.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (fma.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2 1))) (log.f32 (sqrt.f32 (fma.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2) 3)) (log.f32 (+.f32 1 (-.f32 (*.f32 4 (pow.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2)) (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (*.f32 4 (pow.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2)))) (log.f32 (-.f32 1 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2))) 2) (cbrt.f32 (log1p.f32 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2))) (sqrt.f32 (log1p.f32 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (fma.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 x) (neg.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 x) (*.f32 (neg.f32 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (/.f32 1 x) x) (fma.f32 (neg.f32 x) 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (/.f32 1 x) x) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (/.f32 1 x) x) (+.f32 (neg.f32 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (/.f32 1 x) x) (fma.f32 -1 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (-.f32 (/.f32 1 x) x) (fma.f32 (neg.f32 (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (-.f32 (/.f32 1 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (neg.f32 x) (/.f32 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (fma.f32 1 (/.f32 1 x) (neg.f32 (*.f32 (*.f32 (cbrt.f32 x) 1) (pow.f32 (cbrt.f32 x) 2)))) (fma.f32 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simplify111.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

609×	`unswap-sqr_binary32`
600×	`associate-/l*_binary32`
275×	`cancel-sign-sub-inv_binary32`
206×	`fma-neg_binary32`
185×	`distribute-rgt-neg-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	420	3215
1	1029	2824
2	3355	2728

Stop Event

1×	node limit

Counts

211 → 257

Calls

Call 1

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

Outputs
x
(+.f32 (pow.f32 x 2) x)
(+.f32 x (*.f32 x x))
(fma.f32 x x x)
(+.f32 (pow.f32 x 2) (+.f32 (pow.f32 x 3) x))
(+.f32 (+.f32 (*.f32 x x) (pow.f32 x 3)) x)
(+.f32 x (*.f32 x (fma.f32 x x x)))
(+.f32 (pow.f32 x 2) (+.f32 (pow.f32 x 4) (+.f32 (pow.f32 x 3) x)))
(+.f32 (*.f32 x x) (+.f32 (+.f32 x (pow.f32 x 3)) (pow.f32 x 4)))
(+.f32 (+.f32 x (*.f32 x (fma.f32 x x x))) (pow.f32 x 4))
(*.f32 (fma.f32 x x 1) (fma.f32 x x x))
-1
(neg.f32 (+.f32 1 (/.f32 1 x)))
(+.f32 -1 (neg.f32 (/.f32 1 x)))
(+.f32 -1 (/.f32 -1 x))
(-.f32 -1 (/.f32 1 x))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 x 2)) (/.f32 1 x))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 x) (/.f32 1 (*.f32 x x)))))
(-.f32 -1 (+.f32 (/.f32 1 x) (/.f32 1 (*.f32 x x))))
(+.f32 -1 (+.f32 (/.f32 -1 x) (/.f32 -1 (*.f32 x x))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 x 2)) (+.f32 (/.f32 1 x) (/.f32 1 (pow.f32 x 3))))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 (*.f32 x x)) (+.f32 (/.f32 1 x) (/.f32 1 (pow.f32 x 3))))))
(-.f32 -1 (+.f32 (/.f32 1 x) (+.f32 (/.f32 1 (*.f32 x x)) (/.f32 1 (pow.f32 x 3)))))
(+.f32 (+.f32 -1 (+.f32 (/.f32 -1 x) (/.f32 -1 (*.f32 x x)))) (/.f32 -1 (pow.f32 x 3)))
-1
(neg.f32 (+.f32 1 (/.f32 1 x)))
(+.f32 -1 (neg.f32 (/.f32 1 x)))
(+.f32 -1 (/.f32 -1 x))
(-.f32 -1 (/.f32 1 x))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 x 2)) (/.f32 1 x))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 x) (/.f32 1 (*.f32 x x)))))
(-.f32 -1 (+.f32 (/.f32 1 x) (/.f32 1 (*.f32 x x))))
(+.f32 -1 (+.f32 (/.f32 -1 x) (/.f32 -1 (*.f32 x x))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 x 2)) (+.f32 (/.f32 1 x) (/.f32 1 (pow.f32 x 3))))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 (*.f32 x x)) (+.f32 (/.f32 1 x) (/.f32 1 (pow.f32 x 3))))))
(-.f32 -1 (+.f32 (/.f32 1 x) (+.f32 (/.f32 1 (*.f32 x x)) (/.f32 1 (pow.f32 x 3)))))
(+.f32 (+.f32 -1 (+.f32 (/.f32 -1 x) (/.f32 -1 (*.f32 x x)))) (/.f32 -1 (pow.f32 x 3)))
(*.f32 2 x)
(*.f32 x 2)
(+.f32 x x)
(+.f32 (.f32 2 x) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 2 x (*.f32 (pow.f32 x 3) 2/3))
(fma.f32 x 2 (*.f32 (pow.f32 x 3) 2/3))
(+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(fma.f32 2 x (fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5))))
(fma.f32 x 2 (fma.f32 (pow.f32 x 3) 2/3 (*.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)))))
(fma.f32 2/7 (pow.f32 x 7) (fma.f32 2 x (fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))))
(fma.f32 2/7 (pow.f32 x 7) (fma.f32 x 2 (fma.f32 (pow.f32 x 3) 2/3 (*.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (log.f32 -1) (/.f32 2 x))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (/.f32 2/3 (pow.f32 x 3)))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2 x) (/.f32 2/3 (pow.f32 x 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 2/3 (pow.f32 x 3)) (+.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (/.f32 2/5 (pow.f32 x 5))))
(+.f32 (log.f32 -1) (+.f32 (+.f32 (/.f32 2 x) (/.f32 2/5 (pow.f32 x 5))) (/.f32 2/3 (pow.f32 x 3))))
(+.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (+.f32 (/.f32 2/5 (pow.f32 x 5)) (/.f32 2/3 (pow.f32 x 3))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (log.f32 -1) (/.f32 2 x))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (/.f32 2/3 (pow.f32 x 3)))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2 x) (/.f32 2/3 (pow.f32 x 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 2/3 (pow.f32 x 3)) (+.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (/.f32 2/5 (pow.f32 x 5))))
(+.f32 (log.f32 -1) (+.f32 (+.f32 (/.f32 2 x) (/.f32 2/5 (pow.f32 x 5))) (/.f32 2/3 (pow.f32 x 3))))
(+.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (+.f32 (/.f32 2/5 (pow.f32 x 5)) (/.f32 2/3 (pow.f32 x 3))))
(/.f32 1 x)
(+.f32 (*.f32 -1 x) (/.f32 1 x))
(-.f32 (/.f32 1 x) x)
(+.f32 (*.f32 -1 x) (/.f32 1 x))
(-.f32 (/.f32 1 x) x)
(+.f32 (*.f32 -1 x) (/.f32 1 x))
(-.f32 (/.f32 1 x) x)
(*.f32 -1 x)
(neg.f32 x)
(+.f32 (*.f32 -1 x) (/.f32 1 x))
(-.f32 (/.f32 1 x) x)
(+.f32 (*.f32 -1 x) (/.f32 1 x))
(-.f32 (/.f32 1 x) x)
(+.f32 (*.f32 -1 x) (/.f32 1 x))
(-.f32 (/.f32 1 x) x)
(*.f32 -1 x)
(neg.f32 x)
(+.f32 (*.f32 -1 x) (/.f32 1 x))
(-.f32 (/.f32 1 x) x)
(+.f32 (*.f32 -1 x) (/.f32 1 x))
(-.f32 (/.f32 1 x) x)
(+.f32 (*.f32 -1 x) (/.f32 1 x))
(-.f32 (/.f32 1 x) x)
(+.f32 0 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (exp.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))))))
(*.f32 3 (log.f32 (cbrt.f32 (exp.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))))))
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)))) 1)
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(*.f32 1 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(*.f32 (+.f32 x 1) (/.f32 1 (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(*.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 1)
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(*.f32 (cbrt.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))) (pow.f32 (cbrt.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))) 2))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(*.f32 (pow.f32 (cbrt.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))) 2) (cbrt.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2) (.f32 (cbrt.f32 (+.f32 x 1)) (/.f32 1 (-.f32 (/.f32 1 x) x))))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(*.f32 (sqrt.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))) (sqrt.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(.f32 (sqrt.f32 (+.f32 x 1)) (.f32 (sqrt.f32 (+.f32 x 1)) (/.f32 1 (-.f32 (/.f32 1 x) x))))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(*.f32 (fma.f32 -1 x -1) (/.f32 1 (neg.f32 (-.f32 (/.f32 1 x) x))))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(*.f32 (/.f32 1 (-.f32 (/.f32 1 x) x)) (+.f32 x 1))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2) 1) (/.f32 (cbrt.f32 (+.f32 x 1)) (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(*.f32 (/.f32 (sqrt.f32 (+.f32 x 1)) 1) (/.f32 (sqrt.f32 (+.f32 x 1)) (-.f32 (/.f32 1 x) x)))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(*.f32 (/.f32 1 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2))) (/.f32 (+.f32 x 1) (cbrt.f32 (-.f32 (/.f32 1 x) x))))
(/.f32 (/.f32 (+.f32 x 1) (cbrt.f32 (-.f32 (/.f32 1 x) x))) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)))
(/.f32 (+.f32 x 1) (*.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2))) (cbrt.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))))
(*.f32 (cbrt.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))) (/.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2))))
(*.f32 (/.f32 (sqrt.f32 (+.f32 x 1)) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2))) (/.f32 (sqrt.f32 (+.f32 x 1)) (cbrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 1 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2))) (/.f32 (+.f32 x 1) (cbrt.f32 (-.f32 (/.f32 1 x) x))))
(/.f32 (/.f32 (+.f32 x 1) (cbrt.f32 (-.f32 (/.f32 1 x) x))) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)))
(/.f32 (+.f32 x 1) (*.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x))))
(*.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 x) x))) (/.f32 (+.f32 x 1) (sqrt.f32 (-.f32 (/.f32 1 x) x))))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (+.f32 x 1)) 2) (sqrt.f32 (-.f32 (/.f32 1 x) x))) (/.f32 (cbrt.f32 (+.f32 x 1)) (sqrt.f32 (-.f32 (/.f32 1 x) x))))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(*.f32 (/.f32 (+.f32 x 1) (-.f32 (pow.f32 x -3) (pow.f32 x 3))) (+.f32 (pow.f32 x -2) (fma.f32 x x 1)))
(*.f32 (+.f32 x 1) (/.f32 (+.f32 (pow.f32 x -2) (fma.f32 x x 1)) (-.f32 (pow.f32 x -3) (pow.f32 x 3))))
(.f32 (/.f32 (+.f32 x 1) (-.f32 (pow.f32 x -2) (.f32 x x))) (+.f32 x (/.f32 1 x)))
(.f32 (+.f32 x 1) (/.f32 (+.f32 x (/.f32 1 x)) (-.f32 (pow.f32 x -2) (.f32 x x))))
(pow.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 1)
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(pow.f32 (pow.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2) 1/2)
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(pow.f32 (pow.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 3) 1/3)
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(pow.f32 (cbrt.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))) 3)
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(pow.f32 (sqrt.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))) 2)
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(pow.f32 (/.f32 (-.f32 (/.f32 1 x) x) (+.f32 x 1)) -1)
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(pow.f32 (/.f32 (pow.f32 (+.f32 x 1) 3) (pow.f32 (-.f32 (/.f32 1 x) x) 3)) 1/3)
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(pow.f32 (/.f32 (/.f32 (-.f32 (/.f32 1 x) x) (+.f32 x 1)) 1) -1)
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(neg.f32 (/.f32 (+.f32 x 1) (neg.f32 (-.f32 (/.f32 1 x) x))))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(sqrt.f32 (pow.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(log.f32 (exp.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)))))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(cbrt.f32 (pow.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 3))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(cbrt.f32 (/.f32 (pow.f32 (+.f32 x 1) 3) (pow.f32 (-.f32 (/.f32 1 x) x) 3)))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(expm1.f32 (log1p.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(log1p.f32 (expm1.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))))
(/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x))
(exp.f32 (-.f32 (log1p.f32 x) (log.f32 (-.f32 (/.f32 1 x) x))))
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(/.f32 (-.f32 (pow.f32 x -3) (pow.f32 x 3)) (+.f32 (pow.f32 x -2) (fma.f32 x x 1)))
(/.f32 1 (/.f32 (+.f32 x (/.f32 1 x)) (-.f32 (pow.f32 x -2) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 x -2) (*.f32 x x)) (+.f32 x (/.f32 1 x)))
(/.f32 (-.f32 (pow.f32 x -3) (pow.f32 x 3)) (+.f32 (pow.f32 x -2) (fma.f32 x x 1)))
(/.f32 1 (/.f32 (+.f32 (pow.f32 x -2) (fma.f32 x x 1)) (-.f32 (pow.f32 x -3) (pow.f32 x 3))))
(/.f32 (-.f32 (pow.f32 x -2) (*.f32 x x)) (+.f32 x (/.f32 1 x)))
(/.f32 1 (/.f32 (+.f32 x (/.f32 1 x)) (-.f32 (pow.f32 x -2) (*.f32 x x))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x -3) (pow.f32 x 3))) (neg.f32 (+.f32 (pow.f32 x -2) (fma.f32 x x 1))))
(/.f32 1 (/.f32 (+.f32 (pow.f32 x -2) (fma.f32 x x 1)) (-.f32 (pow.f32 x -3) (pow.f32 x 3))))
(/.f32 (-.f32 (pow.f32 x -3) (pow.f32 x 3)) (+.f32 (pow.f32 x -2) (fma.f32 x x 1)))
(/.f32 (neg.f32 (-.f32 (pow.f32 x -2) (*.f32 x x))) (neg.f32 (+.f32 x (/.f32 1 x))))
(/.f32 1 (/.f32 (+.f32 x (/.f32 1 x)) (-.f32 (pow.f32 x -2) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 x -2) (*.f32 x x)) (+.f32 x (/.f32 1 x)))
(/.f32 (+.f32 (pow.f32 x -3) (pow.f32 (neg.f32 x) 3)) (+.f32 (pow.f32 x -2) (-.f32 (pow.f32 (neg.f32 x) 2) (*.f32 (/.f32 1 x) (neg.f32 x)))))
(/.f32 1 (/.f32 (+.f32 (pow.f32 x -2) (fma.f32 x x 1)) (-.f32 (pow.f32 x -3) (pow.f32 x 3))))
(/.f32 (-.f32 (pow.f32 x -3) (pow.f32 x 3)) (+.f32 (pow.f32 x -2) (fma.f32 x x 1)))
(/.f32 (-.f32 (pow.f32 x -2) (pow.f32 (neg.f32 x) 2)) (-.f32 (/.f32 1 x) (neg.f32 x)))
(/.f32 1 (/.f32 (+.f32 x (/.f32 1 x)) (-.f32 (pow.f32 x -2) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 x -2) (*.f32 x x)) (+.f32 x (/.f32 1 x)))
(pow.f32 (-.f32 (/.f32 1 x) x) 1)
(-.f32 (/.f32 1 x) x)
(pow.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2) 1/2)
(-.f32 (/.f32 1 x) x)
(pow.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 3) 1/3)
(-.f32 (/.f32 1 x) x)
(pow.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) 3)
(-.f32 (/.f32 1 x) x)
(pow.f32 (sqrt.f32 (-.f32 (/.f32 1 x) x)) 2)
(-.f32 (/.f32 1 x) x)
(pow.f32 (/.f32 (+.f32 (pow.f32 x -2) (fma.f32 x x 1)) (-.f32 (pow.f32 x -3) (pow.f32 x 3))) -1)
(/.f32 1 (/.f32 (+.f32 (pow.f32 x -2) (fma.f32 x x 1)) (-.f32 (pow.f32 x -3) (pow.f32 x 3))))
(/.f32 (-.f32 (pow.f32 x -3) (pow.f32 x 3)) (+.f32 (pow.f32 x -2) (fma.f32 x x 1)))
(pow.f32 (/.f32 (+.f32 x (/.f32 1 x)) (-.f32 (pow.f32 x -2) (*.f32 x x))) -1)
(/.f32 1 (/.f32 (+.f32 x (/.f32 1 x)) (-.f32 (pow.f32 x -2) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 x -2) (*.f32 x x)) (+.f32 x (/.f32 1 x)))
(sqrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2))
(-.f32 (/.f32 1 x) x)
(log.f32 (exp.f32 (-.f32 (/.f32 1 x) x)))
(-.f32 (/.f32 1 x) x)
(log.f32 (+.f32 1 (expm1.f32 (-.f32 (/.f32 1 x) x))))
(-.f32 (/.f32 1 x) x)
(log.f32 (/.f32 (+.f32 1 (expm1.f32 (/.f32 1 x))) (exp.f32 x)))
(-.f32 (/.f32 1 x) x)
(log.f32 (/.f32 (exp.f32 (/.f32 1 x)) (+.f32 1 (expm1.f32 x))))
(-.f32 (/.f32 1 x) x)
(log.f32 (/.f32 (+.f32 1 (expm1.f32 (/.f32 1 x))) (+.f32 1 (expm1.f32 x))))
(-.f32 (/.f32 1 x) x)
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (/.f32 1 x))) (exp.f32 (neg.f32 x))))
(-.f32 (/.f32 1 x) x)
(log.f32 (*.f32 (exp.f32 (/.f32 1 x)) (/.f32 1 (exp.f32 x))))
(-.f32 (/.f32 1 x) x)
(log.f32 (*.f32 (+.f32 1 (expm1.f32 (/.f32 1 x))) (/.f32 1 (exp.f32 x))))
(-.f32 (/.f32 1 x) x)
(log.f32 (*.f32 (exp.f32 (neg.f32 x)) (exp.f32 (/.f32 1 x))))
(-.f32 (/.f32 1 x) x)
(log.f32 (*.f32 (/.f32 1 (exp.f32 x)) (exp.f32 (/.f32 1 x))))
(-.f32 (/.f32 1 x) x)
(log.f32 (*.f32 (exp.f32 (neg.f32 x)) (+.f32 1 (expm1.f32 (/.f32 1 x)))))
(-.f32 (/.f32 1 x) x)
(log.f32 (*.f32 (/.f32 1 (exp.f32 x)) (+.f32 1 (expm1.f32 (/.f32 1 x)))))
(-.f32 (/.f32 1 x) x)
(cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 3))
(-.f32 (/.f32 1 x) x)
(expm1.f32 (log1p.f32 (-.f32 (/.f32 1 x) x)))
(-.f32 (/.f32 1 x) x)
(log1p.f32 (expm1.f32 (-.f32 (/.f32 1 x) x)))
(-.f32 (/.f32 1 x) x)
(exp.f32 (log.f32 (-.f32 (/.f32 1 x) x)))
(-.f32 (/.f32 1 x) x)
(exp.f32 (*.f32 (log.f32 (-.f32 (/.f32 1 x) x)) 1))
(-.f32 (/.f32 1 x) x)
(fma.f32 1 (/.f32 1 x) (neg.f32 x))
(-.f32 (/.f32 1 x) x)
(fma.f32 1 (/.f32 1 x) (*.f32 (neg.f32 x) 1))
(-.f32 (/.f32 1 x) x)
(fma.f32 1 (-.f32 (/.f32 1 x) x) (fma.f32 (neg.f32 x) 1 x))
(-.f32 (/.f32 1 x) x)
(fma.f32 1 (-.f32 (/.f32 1 x) x) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(-.f32 (/.f32 1 x) x)
(fma.f32 1 (-.f32 (/.f32 1 x) x) (+.f32 (neg.f32 x) x))
(-.f32 (/.f32 1 x) x)
(fma.f32 1 (neg.f32 x) (/.f32 1 x))
(-.f32 (/.f32 1 x) x)
(fma.f32 (/.f32 1 x) 1 (neg.f32 x))
(-.f32 (/.f32 1 x) x)
(fma.f32 (/.f32 1 x) 1 (*.f32 (neg.f32 x) 1))
(-.f32 (/.f32 1 x) x)
(fma.f32 (-.f32 (/.f32 1 x) x) 1 (fma.f32 (neg.f32 x) 1 x))
(-.f32 (/.f32 1 x) x)
(fma.f32 (-.f32 (/.f32 1 x) x) 1 (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(-.f32 (/.f32 1 x) x)
(fma.f32 (-.f32 (/.f32 1 x) x) 1 (+.f32 (neg.f32 x) x))
(-.f32 (/.f32 1 x) x)
(fma.f32 (/.f32 1 (cbrt.f32 x)) (cbrt.f32 (pow.f32 x -2)) (neg.f32 x))
(+.f32 (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) (.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2))) (fma.f32 (/.f32 1 (cbrt.f32 x)) (cbrt.f32 (pow.f32 x -2)) (.f32 (cbrt.f32 x) (neg.f32 (pow.f32 (cbrt.f32 x) 2)))))
(+.f32 (-.f32 x x) (-.f32 (*.f32 (/.f32 1 (cbrt.f32 x)) (cbrt.f32 (pow.f32 x -2))) x))
(-.f32 (/.f32 (cbrt.f32 (pow.f32 x -2)) (cbrt.f32 x)) x)
(fma.f32 (/.f32 1 (cbrt.f32 x)) (cbrt.f32 (pow.f32 x -2)) (*.f32 (neg.f32 x) 1))
(+.f32 (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) (.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2))) (fma.f32 (/.f32 1 (cbrt.f32 x)) (cbrt.f32 (pow.f32 x -2)) (.f32 (cbrt.f32 x) (neg.f32 (pow.f32 (cbrt.f32 x) 2)))))
(+.f32 (-.f32 x x) (-.f32 (*.f32 (/.f32 1 (cbrt.f32 x)) (cbrt.f32 (pow.f32 x -2))) x))
(-.f32 (/.f32 (cbrt.f32 (pow.f32 x -2)) (cbrt.f32 x)) x)
(fma.f32 (cbrt.f32 (pow.f32 x -2)) (/.f32 1 (cbrt.f32 x)) (neg.f32 x))
(+.f32 (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) (.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2))) (fma.f32 (/.f32 1 (cbrt.f32 x)) (cbrt.f32 (pow.f32 x -2)) (.f32 (cbrt.f32 x) (neg.f32 (pow.f32 (cbrt.f32 x) 2)))))
(+.f32 (-.f32 x x) (-.f32 (*.f32 (/.f32 1 (cbrt.f32 x)) (cbrt.f32 (pow.f32 x -2))) x))
(-.f32 (/.f32 (cbrt.f32 (pow.f32 x -2)) (cbrt.f32 x)) x)
(fma.f32 (cbrt.f32 (pow.f32 x -2)) (/.f32 1 (cbrt.f32 x)) (*.f32 (neg.f32 x) 1))
(+.f32 (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) (.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2))) (fma.f32 (/.f32 1 (cbrt.f32 x)) (cbrt.f32 (pow.f32 x -2)) (.f32 (cbrt.f32 x) (neg.f32 (pow.f32 (cbrt.f32 x) 2)))))
(+.f32 (-.f32 x x) (-.f32 (*.f32 (/.f32 1 (cbrt.f32 x)) (cbrt.f32 (pow.f32 x -2))) x))
(-.f32 (/.f32 (cbrt.f32 (pow.f32 x -2)) (cbrt.f32 x)) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (neg.f32 (cbrt.f32 x)) (/.f32 1 x))
(-.f32 (/.f32 1 x) x)
(fma.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (fma.f32 (neg.f32 x) 1 x))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) (fma.f32 -1 x x))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) (-.f32 x x))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) 0)
(fma.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) (fma.f32 -1 x x))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) (-.f32 x x))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) 0)
(fma.f32 (cbrt.f32 (-.f32 (/.f32 1 x) x)) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (+.f32 (neg.f32 x) x))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) (fma.f32 -1 x x))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) (-.f32 x x))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) 0)
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) (fma.f32 (neg.f32 x) 1 x))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) (fma.f32 -1 x x))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) (-.f32 x x))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) 0)
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) (fma.f32 -1 x x))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) (-.f32 x x))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) 0)
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) (+.f32 (neg.f32 x) x))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) (fma.f32 -1 x x))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) (-.f32 x x))
(fma.f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 x) x) 2)) (cbrt.f32 (-.f32 (/.f32 1 x) x)) 0)
(fma.f32 (pow.f32 x -1/2) (pow.f32 x -1/2) (neg.f32 x))
(-.f32 (/.f32 1 x) x)
(fma.f32 (pow.f32 x -1/2) (pow.f32 x -1/2) (*.f32 (neg.f32 x) 1))
(-.f32 (/.f32 1 x) x)
(fma.f32 (sqrt.f32 x) (neg.f32 (sqrt.f32 x)) (/.f32 1 x))
(-.f32 (/.f32 1 x) x)
(fma.f32 (sqrt.f32 (-.f32 (/.f32 1 x) x)) (sqrt.f32 (-.f32 (/.f32 1 x) x)) (fma.f32 (neg.f32 x) 1 x))
(-.f32 (/.f32 1 x) x)
(fma.f32 (sqrt.f32 (-.f32 (/.f32 1 x) x)) (sqrt.f32 (-.f32 (/.f32 1 x) x)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(-.f32 (/.f32 1 x) x)
(fma.f32 (sqrt.f32 (-.f32 (/.f32 1 x) x)) (sqrt.f32 (-.f32 (/.f32 1 x) x)) (+.f32 (neg.f32 x) x))
(-.f32 (/.f32 1 x) x)
(fma.f32 -1 x (/.f32 1 x))
(-.f32 (/.f32 1 x) x)
(fma.f32 -1 (/.f32 1 (neg.f32 x)) (neg.f32 x))
(-.f32 (/.f32 1 x) x)
(fma.f32 -1 (/.f32 1 (neg.f32 x)) (*.f32 (neg.f32 x) 1))
(-.f32 (/.f32 1 x) x)
(fma.f32 (-.f32 (pow.f32 x -3) (pow.f32 x 3)) (/.f32 1 (+.f32 (pow.f32 x -2) (fma.f32 x x 1))) (fma.f32 (neg.f32 x) 1 x))
(/.f32 1 (/.f32 (+.f32 (pow.f32 x -2) (fma.f32 x x 1)) (-.f32 (pow.f32 x -3) (pow.f32 x 3))))
(/.f32 (-.f32 (pow.f32 x -3) (pow.f32 x 3)) (+.f32 (pow.f32 x -2) (fma.f32 x x 1)))
(fma.f32 (-.f32 (pow.f32 x -3) (pow.f32 x 3)) (/.f32 1 (+.f32 (pow.f32 x -2) (fma.f32 x x 1))) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(/.f32 1 (/.f32 (+.f32 (pow.f32 x -2) (fma.f32 x x 1)) (-.f32 (pow.f32 x -3) (pow.f32 x 3))))
(/.f32 (-.f32 (pow.f32 x -3) (pow.f32 x 3)) (+.f32 (pow.f32 x -2) (fma.f32 x x 1)))
(fma.f32 (-.f32 (pow.f32 x -3) (pow.f32 x 3)) (/.f32 1 (+.f32 (pow.f32 x -2) (fma.f32 x x 1))) (+.f32 (neg.f32 x) x))
(/.f32 1 (/.f32 (+.f32 (pow.f32 x -2) (fma.f32 x x 1)) (-.f32 (pow.f32 x -3) (pow.f32 x 3))))
(/.f32 (-.f32 (pow.f32 x -3) (pow.f32 x 3)) (+.f32 (pow.f32 x -2) (fma.f32 x x 1)))
(fma.f32 (-.f32 (pow.f32 x -2) (*.f32 x x)) (/.f32 1 (+.f32 x (/.f32 1 x))) (fma.f32 (neg.f32 x) 1 x))
(/.f32 1 (/.f32 (+.f32 x (/.f32 1 x)) (-.f32 (pow.f32 x -2) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 x -2) (*.f32 x x)) (+.f32 x (/.f32 1 x)))
(fma.f32 (-.f32 (pow.f32 x -2) (*.f32 x x)) (/.f32 1 (+.f32 x (/.f32 1 x))) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(/.f32 1 (/.f32 (+.f32 x (/.f32 1 x)) (-.f32 (pow.f32 x -2) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 x -2) (*.f32 x x)) (+.f32 x (/.f32 1 x)))
(fma.f32 (-.f32 (pow.f32 x -2) (*.f32 x x)) (/.f32 1 (+.f32 x (/.f32 1 x))) (+.f32 (neg.f32 x) x))
(/.f32 1 (/.f32 (+.f32 x (/.f32 1 x)) (-.f32 (pow.f32 x -2) (*.f32 x x))))
(/.f32 (-.f32 (pow.f32 x -2) (*.f32 x x)) (+.f32 x (/.f32 1 x)))
(fma.f32 (pow.f32 (cbrt.f32 (neg.f32 x)) 2) (cbrt.f32 (neg.f32 x)) (/.f32 1 x))
(-.f32 (/.f32 1 x) x)
(fma.f32 (sqrt.f32 (neg.f32 x)) (sqrt.f32 (neg.f32 x)) (/.f32 1 x))
(-.f32 (/.f32 1 x) x)
(fma.f32 (neg.f32 (sqrt.f32 x)) (sqrt.f32 x) (/.f32 1 x))
(-.f32 (/.f32 1 x) x)
(fma.f32 (/.f32 1 (pow.f32 (cbrt.f32 x) 2)) (/.f32 1 (cbrt.f32 x)) (neg.f32 x))
(-.f32 (/.f32 1 x) x)
(fma.f32 (/.f32 1 (pow.f32 (cbrt.f32 x) 2)) (/.f32 1 (cbrt.f32 x)) (*.f32 (neg.f32 x) 1))
(-.f32 (/.f32 1 x) x)
(fma.f32 (+.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (-.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (fma.f32 (neg.f32 x) 1 x))
(-.f32 (/.f32 1 x) x)
(fma.f32 (+.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (-.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(-.f32 (/.f32 1 x) x)
(fma.f32 (+.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (-.f32 (pow.f32 x -1/2) (sqrt.f32 x)) (+.f32 (neg.f32 x) x))
(-.f32 (/.f32 1 x) x)
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) (/.f32 1 x))
(-.f32 (/.f32 1 x) x)

localize12.0ms (0.2%)

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

localize35.0ms (0.7%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 22 computations (18.5% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite48.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

770×	`pow1_binary32`
719×	`add-log-exp_binary32`
718×	`expm1-log1p-u_binary32`
717×	`log1p-expm1-u_binary32`
707×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	16
1	156	16
2	1915	16

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 -2 (/.f32 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -2 (*.f32 (/.f32 -2 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 -2 x) -2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 -2 (/.f32 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (-.f32 -2 (/.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (-.f32 -2 (/.f32 2 x))) (pow.f32 (cbrt.f32 (-.f32 -2 (/.f32 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (-.f32 -2 (/.f32 2 x))) 2) (cbrt.f32 (-.f32 -2 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (-.f32 -2 (/.f32 2 x))) (sqrt.f32 (-.f32 -2 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 -8 (pow.f32 (/.f32 2 x) 3)) (/.f32 1 (+.f32 4 (+.f32 (/.f32 4 (*.f32 x x)) (/.f32 -4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 4 (/.f32 4 (*.f32 x x))) (/.f32 1 (+.f32 -2 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 4 (+.f32 (/.f32 4 (*.f32 x x)) (/.f32 -4 x))) (-.f32 -8 (pow.f32 (/.f32 2 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 -2 (/.f32 2 x)) (-.f32 4 (/.f32 4 (*.f32 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 -8 (pow.f32 (/.f32 2 x) 3)) (+.f32 4 (+.f32 (/.f32 4 (*.f32 x x)) (/.f32 -4 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 4 (/.f32 4 (*.f32 x x))) (+.f32 -2 (/.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 -8 (pow.f32 (/.f32 2 x) 3))) (neg.f32 (+.f32 4 (+.f32 (/.f32 4 (*.f32 x x)) (/.f32 -4 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 4 (/.f32 4 (*.f32 x x)))) (neg.f32 (+.f32 -2 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 -8 (pow.f32 (/.f32 -2 x) 3)) (+.f32 4 (-.f32 (*.f32 (/.f32 -2 x) (/.f32 -2 x)) (*.f32 -2 (/.f32 -2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 4 (*.f32 (/.f32 -2 x) (/.f32 -2 x))) (-.f32 -2 (/.f32 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 -2 (/.f32 2 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 -2 (/.f32 2 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (-.f32 -2 (/.f32 2 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (-.f32 -2 (/.f32 2 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (-.f32 -2 (/.f32 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (-.f32 -2 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (-.f32 -2 (/.f32 2 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (-.f32 -2 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (-.f32 -2 (/.f32 2 x))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 (-.f32 -2 (/.f32 2 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (-.f32 -2 (/.f32 2 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))) (pow.f32 (cbrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))) 2) (cbrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))) (sqrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 -1 (/.f32 -2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))))))))

simplify46.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

477×	`div-sub_binary32`
423×	`fma-neg_binary32`
333×	`cancel-sign-sub-inv_binary32`
315×	`log-prod_binary32`
291×	`fma-def_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	866
1	337	776
2	1207	729
3	4808	729

Stop Event

1×	node limit

Counts

67 → 84

Calls

Call 1

Inputs
(/.f32 -2 x)
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 x)))
(+.f32 (.f32 1/2 x) (+.f32 (log.f32 -2) (.f32 -1 (log.f32 x))))
(+.f32 (.f32 -1/8 (pow.f32 x 2)) (+.f32 (.f32 1/2 x) (+.f32 (log.f32 -2) (*.f32 -1 (log.f32 x)))))
(+.f32 (.f32 -1/8 (pow.f32 x 2)) (+.f32 (.f32 1/2 x) (+.f32 (.f32 1/24 (pow.f32 x 3)) (+.f32 (log.f32 -2) (.f32 -1 (log.f32 x))))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(-.f32 (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))) (.f32 2 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 8/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x)))) (*.f32 2 (/.f32 1 (pow.f32 x 2))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(-.f32 (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))) (.f32 2 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (.f32 8/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x)))) (*.f32 2 (/.f32 1 (pow.f32 x 2))))
(+.f32 -2 (/.f32 -2 x))
(+.f32 -2 (*.f32 (/.f32 -2 x) 1))
(+.f32 (/.f32 -2 x) -2)
(*.f32 (-.f32 -2 (/.f32 2 x)) 1)
(*.f32 1 (-.f32 -2 (/.f32 2 x)))
(*.f32 (cbrt.f32 (-.f32 -2 (/.f32 2 x))) (pow.f32 (cbrt.f32 (-.f32 -2 (/.f32 2 x))) 2))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 -2 (/.f32 2 x))) 2) (cbrt.f32 (-.f32 -2 (/.f32 2 x))))
(*.f32 (sqrt.f32 (-.f32 -2 (/.f32 2 x))) (sqrt.f32 (-.f32 -2 (/.f32 2 x))))
(.f32 (-.f32 -8 (pow.f32 (/.f32 2 x) 3)) (/.f32 1 (+.f32 4 (+.f32 (/.f32 4 (.f32 x x)) (/.f32 -4 x)))))
(.f32 (-.f32 4 (/.f32 4 (.f32 x x))) (/.f32 1 (+.f32 -2 (/.f32 2 x))))
(/.f32 1 (/.f32 (+.f32 4 (+.f32 (/.f32 4 (*.f32 x x)) (/.f32 -4 x))) (-.f32 -8 (pow.f32 (/.f32 2 x) 3))))
(/.f32 1 (/.f32 (+.f32 -2 (/.f32 2 x)) (-.f32 4 (/.f32 4 (*.f32 x x)))))
(/.f32 (-.f32 -8 (pow.f32 (/.f32 2 x) 3)) (+.f32 4 (+.f32 (/.f32 4 (*.f32 x x)) (/.f32 -4 x))))
(/.f32 (-.f32 4 (/.f32 4 (*.f32 x x))) (+.f32 -2 (/.f32 2 x)))
(/.f32 (neg.f32 (-.f32 -8 (pow.f32 (/.f32 2 x) 3))) (neg.f32 (+.f32 4 (+.f32 (/.f32 4 (*.f32 x x)) (/.f32 -4 x)))))
(/.f32 (neg.f32 (-.f32 4 (/.f32 4 (*.f32 x x)))) (neg.f32 (+.f32 -2 (/.f32 2 x))))
(/.f32 (+.f32 -8 (pow.f32 (/.f32 -2 x) 3)) (+.f32 4 (-.f32 (.f32 (/.f32 -2 x) (/.f32 -2 x)) (.f32 -2 (/.f32 -2 x)))))
(/.f32 (-.f32 4 (*.f32 (/.f32 -2 x) (/.f32 -2 x))) (-.f32 -2 (/.f32 -2 x)))
(pow.f32 (-.f32 -2 (/.f32 2 x)) 1)
(pow.f32 (pow.f32 (-.f32 -2 (/.f32 2 x)) 3) 1/3)
(pow.f32 (cbrt.f32 (-.f32 -2 (/.f32 2 x))) 3)
(pow.f32 (sqrt.f32 (-.f32 -2 (/.f32 2 x))) 2)
(sqrt.f32 (pow.f32 (-.f32 -2 (/.f32 2 x)) 2))
(log.f32 (exp.f32 (-.f32 -2 (/.f32 2 x))))
(cbrt.f32 (pow.f32 (-.f32 -2 (/.f32 2 x)) 3))
(expm1.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))))
(log1p.f32 (expm1.f32 (-.f32 -2 (/.f32 2 x))))
(exp.f32 (log.f32 (-.f32 -2 (/.f32 2 x))))
(-.f32 (+.f32 1 (log1p.f32 (-.f32 -2 (/.f32 2 x)))) 1)
(*.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 1)
(*.f32 1 (log1p.f32 (-.f32 -2 (/.f32 2 x))))
(*.f32 (cbrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))) (pow.f32 (cbrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))) 2))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))) 2) (cbrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))))
(*.f32 (sqrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))) (sqrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))))
(pow.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 1)
(pow.f32 (pow.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 2))
(log.f32 (+.f32 -1 (/.f32 -2 x)))
(cbrt.f32 (pow.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))))
(exp.f32 (log.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))))

Outputs
(/.f32 -2 x)
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
-2
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(neg.f32 (+.f32 2 (*.f32 2 (/.f32 1 x))))
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(+.f32 (log.f32 -2) (*.f32 -1 (log.f32 x)))
(+.f32 (log.f32 -2) (neg.f32 (log.f32 x)))
(-.f32 (log.f32 -2) (log.f32 x))
(+.f32 (.f32 1/2 x) (+.f32 (log.f32 -2) (.f32 -1 (log.f32 x))))
(fma.f32 1/2 x (+.f32 (log.f32 -2) (neg.f32 (log.f32 x))))
(-.f32 (fma.f32 x 1/2 (log.f32 -2)) (log.f32 x))
(+.f32 (.f32 -1/8 (pow.f32 x 2)) (+.f32 (.f32 1/2 x) (+.f32 (log.f32 -2) (*.f32 -1 (log.f32 x)))))
(fma.f32 -1/8 (*.f32 x x) (fma.f32 1/2 x (+.f32 (log.f32 -2) (neg.f32 (log.f32 x)))))
(fma.f32 -1/8 (*.f32 x x) (-.f32 (fma.f32 x 1/2 (log.f32 -2)) (log.f32 x)))
(-.f32 (fma.f32 x (*.f32 x -1/8) (fma.f32 x 1/2 (log.f32 -2))) (log.f32 x))
(+.f32 (.f32 -1/8 (pow.f32 x 2)) (+.f32 (.f32 1/2 x) (+.f32 (.f32 1/24 (pow.f32 x 3)) (+.f32 (log.f32 -2) (.f32 -1 (log.f32 x))))))
(fma.f32 -1/8 (*.f32 x x) (fma.f32 1/2 x (fma.f32 1/24 (pow.f32 x 3) (+.f32 (log.f32 -2) (neg.f32 (log.f32 x))))))
(fma.f32 -1/8 (*.f32 x x) (fma.f32 x 1/2 (-.f32 (fma.f32 1/24 (pow.f32 x 3) (log.f32 -2)) (log.f32 x))))
(fma.f32 x (*.f32 x -1/8) (fma.f32 x 1/2 (-.f32 (fma.f32 1/24 (pow.f32 x 3) (log.f32 -2)) (log.f32 x))))
(fma.f32 x 1/2 (fma.f32 x (*.f32 x -1/8) (-.f32 (fma.f32 1/24 (pow.f32 x 3) (log.f32 -2)) (log.f32 x))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (log.f32 -1) (/.f32 2 x))
(-.f32 (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))) (.f32 2 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (/.f32 2 (*.f32 x x)))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2 x) (/.f32 -2 (*.f32 x x))))
(+.f32 (log.f32 -1) (-.f32 (/.f32 2 x) (/.f32 2 (*.f32 x x))))
(-.f32 (+.f32 (.f32 8/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x)))) (*.f32 2 (/.f32 1 (pow.f32 x 2))))
(+.f32 (/.f32 8/3 (pow.f32 x 3)) (-.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (/.f32 2 (*.f32 x x))))
(+.f32 (+.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (/.f32 8/3 (pow.f32 x 3))) (/.f32 -2 (*.f32 x x)))
(+.f32 (log.f32 -1) (-.f32 (+.f32 (/.f32 8/3 (pow.f32 x 3)) (/.f32 2 x)) (/.f32 2 (*.f32 x x))))
(+.f32 (log.f32 -1) (+.f32 (+.f32 (/.f32 8/3 (pow.f32 x 3)) (/.f32 2 x)) (/.f32 -2 (*.f32 x x))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (log.f32 -1) (/.f32 2 x))
(-.f32 (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))) (.f32 2 (/.f32 1 (pow.f32 x 2))))
(-.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (/.f32 2 (*.f32 x x)))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2 x) (/.f32 -2 (*.f32 x x))))
(+.f32 (log.f32 -1) (-.f32 (/.f32 2 x) (/.f32 2 (*.f32 x x))))
(-.f32 (+.f32 (.f32 8/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x)))) (*.f32 2 (/.f32 1 (pow.f32 x 2))))
(+.f32 (/.f32 8/3 (pow.f32 x 3)) (-.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (/.f32 2 (*.f32 x x))))
(+.f32 (+.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (/.f32 8/3 (pow.f32 x 3))) (/.f32 -2 (*.f32 x x)))
(+.f32 (log.f32 -1) (-.f32 (+.f32 (/.f32 8/3 (pow.f32 x 3)) (/.f32 2 x)) (/.f32 2 (*.f32 x x))))
(+.f32 (log.f32 -1) (+.f32 (+.f32 (/.f32 8/3 (pow.f32 x 3)) (/.f32 2 x)) (/.f32 -2 (*.f32 x x))))
(+.f32 -2 (/.f32 -2 x))
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (*.f32 (/.f32 -2 x) 1))
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(+.f32 (/.f32 -2 x) -2)
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(*.f32 (-.f32 -2 (/.f32 2 x)) 1)
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(*.f32 1 (-.f32 -2 (/.f32 2 x)))
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(*.f32 (cbrt.f32 (-.f32 -2 (/.f32 2 x))) (pow.f32 (cbrt.f32 (-.f32 -2 (/.f32 2 x))) 2))
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(*.f32 (pow.f32 (cbrt.f32 (-.f32 -2 (/.f32 2 x))) 2) (cbrt.f32 (-.f32 -2 (/.f32 2 x))))
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(*.f32 (sqrt.f32 (-.f32 -2 (/.f32 2 x))) (sqrt.f32 (-.f32 -2 (/.f32 2 x))))
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(.f32 (-.f32 -8 (pow.f32 (/.f32 2 x) 3)) (/.f32 1 (+.f32 4 (+.f32 (/.f32 4 (.f32 x x)) (/.f32 -4 x)))))
(/.f32 1 (/.f32 (+.f32 4 (+.f32 (/.f32 -4 x) (/.f32 4 (*.f32 x x)))) (-.f32 -8 (/.f32 8 (pow.f32 x 3)))))
(/.f32 (+.f32 -8 (/.f32 -8 (pow.f32 x 3))) (fma.f32 (/.f32 -2 x) (+.f32 (/.f32 -2 x) 2) 4))
(/.f32 (-.f32 8 (/.f32 -8 (pow.f32 x 3))) (-.f32 -4 (/.f32 (+.f32 -4 (/.f32 4 x)) x)))
(/.f32 (+.f32 (/.f32 8 (pow.f32 x 3)) 8) (-.f32 -4 (/.f32 (+.f32 -4 (/.f32 4 x)) x)))
(.f32 (-.f32 4 (/.f32 4 (.f32 x x))) (/.f32 1 (+.f32 -2 (/.f32 2 x))))
(/.f32 (+.f32 4 (/.f32 -4 (*.f32 x x))) (-.f32 -2 (/.f32 -2 x)))
(/.f32 (+.f32 4 (/.f32 -4 (*.f32 x x))) (+.f32 -2 (/.f32 2 x)))
(/.f32 1 (/.f32 (+.f32 4 (+.f32 (/.f32 4 (*.f32 x x)) (/.f32 -4 x))) (-.f32 -8 (pow.f32 (/.f32 2 x) 3))))
(/.f32 1 (/.f32 (+.f32 4 (+.f32 (/.f32 -4 x) (/.f32 4 (*.f32 x x)))) (-.f32 -8 (/.f32 8 (pow.f32 x 3)))))
(/.f32 (+.f32 -8 (/.f32 -8 (pow.f32 x 3))) (fma.f32 (/.f32 -2 x) (+.f32 (/.f32 -2 x) 2) 4))
(/.f32 (-.f32 8 (/.f32 -8 (pow.f32 x 3))) (-.f32 -4 (/.f32 (+.f32 -4 (/.f32 4 x)) x)))
(/.f32 (+.f32 (/.f32 8 (pow.f32 x 3)) 8) (-.f32 -4 (/.f32 (+.f32 -4 (/.f32 4 x)) x)))
(/.f32 1 (/.f32 (+.f32 -2 (/.f32 2 x)) (-.f32 4 (/.f32 4 (*.f32 x x)))))
(.f32 (-.f32 4 (/.f32 4 (.f32 x x))) (/.f32 1 (+.f32 -2 (/.f32 2 x))))
(/.f32 (+.f32 4 (/.f32 -4 (*.f32 x x))) (-.f32 -2 (/.f32 -2 x)))
(/.f32 (+.f32 4 (/.f32 -4 (*.f32 x x))) (+.f32 -2 (/.f32 2 x)))
(/.f32 (-.f32 -8 (pow.f32 (/.f32 2 x) 3)) (+.f32 4 (+.f32 (/.f32 4 (*.f32 x x)) (/.f32 -4 x))))
(/.f32 1 (/.f32 (+.f32 4 (+.f32 (/.f32 -4 x) (/.f32 4 (*.f32 x x)))) (-.f32 -8 (/.f32 8 (pow.f32 x 3)))))
(/.f32 (+.f32 -8 (/.f32 -8 (pow.f32 x 3))) (fma.f32 (/.f32 -2 x) (+.f32 (/.f32 -2 x) 2) 4))
(/.f32 (-.f32 8 (/.f32 -8 (pow.f32 x 3))) (-.f32 -4 (/.f32 (+.f32 -4 (/.f32 4 x)) x)))
(/.f32 (+.f32 (/.f32 8 (pow.f32 x 3)) 8) (-.f32 -4 (/.f32 (+.f32 -4 (/.f32 4 x)) x)))
(/.f32 (-.f32 4 (/.f32 4 (*.f32 x x))) (+.f32 -2 (/.f32 2 x)))
(.f32 (-.f32 4 (/.f32 4 (.f32 x x))) (/.f32 1 (+.f32 -2 (/.f32 2 x))))
(/.f32 (+.f32 4 (/.f32 -4 (*.f32 x x))) (-.f32 -2 (/.f32 -2 x)))
(/.f32 (+.f32 4 (/.f32 -4 (*.f32 x x))) (+.f32 -2 (/.f32 2 x)))
(/.f32 (neg.f32 (-.f32 -8 (pow.f32 (/.f32 2 x) 3))) (neg.f32 (+.f32 4 (+.f32 (/.f32 4 (*.f32 x x)) (/.f32 -4 x)))))
(/.f32 1 (/.f32 (+.f32 4 (+.f32 (/.f32 -4 x) (/.f32 4 (*.f32 x x)))) (-.f32 -8 (/.f32 8 (pow.f32 x 3)))))
(/.f32 (+.f32 -8 (/.f32 -8 (pow.f32 x 3))) (fma.f32 (/.f32 -2 x) (+.f32 (/.f32 -2 x) 2) 4))
(/.f32 (-.f32 8 (/.f32 -8 (pow.f32 x 3))) (-.f32 -4 (/.f32 (+.f32 -4 (/.f32 4 x)) x)))
(/.f32 (+.f32 (/.f32 8 (pow.f32 x 3)) 8) (-.f32 -4 (/.f32 (+.f32 -4 (/.f32 4 x)) x)))
(/.f32 (neg.f32 (-.f32 4 (/.f32 4 (*.f32 x x)))) (neg.f32 (+.f32 -2 (/.f32 2 x))))
(.f32 (-.f32 4 (/.f32 4 (.f32 x x))) (/.f32 1 (+.f32 -2 (/.f32 2 x))))
(/.f32 (+.f32 4 (/.f32 -4 (*.f32 x x))) (-.f32 -2 (/.f32 -2 x)))
(/.f32 (+.f32 4 (/.f32 -4 (*.f32 x x))) (+.f32 -2 (/.f32 2 x)))
(/.f32 (+.f32 -8 (pow.f32 (/.f32 -2 x) 3)) (+.f32 4 (-.f32 (.f32 (/.f32 -2 x) (/.f32 -2 x)) (.f32 -2 (/.f32 -2 x)))))
(/.f32 1 (/.f32 (+.f32 4 (+.f32 (/.f32 -4 x) (/.f32 4 (*.f32 x x)))) (-.f32 -8 (/.f32 8 (pow.f32 x 3)))))
(/.f32 (+.f32 -8 (/.f32 -8 (pow.f32 x 3))) (fma.f32 (/.f32 -2 x) (+.f32 (/.f32 -2 x) 2) 4))
(/.f32 (-.f32 8 (/.f32 -8 (pow.f32 x 3))) (-.f32 -4 (/.f32 (+.f32 -4 (/.f32 4 x)) x)))
(/.f32 (+.f32 (/.f32 8 (pow.f32 x 3)) 8) (-.f32 -4 (/.f32 (+.f32 -4 (/.f32 4 x)) x)))
(/.f32 (-.f32 4 (*.f32 (/.f32 -2 x) (/.f32 -2 x))) (-.f32 -2 (/.f32 -2 x)))
(.f32 (-.f32 4 (/.f32 4 (.f32 x x))) (/.f32 1 (+.f32 -2 (/.f32 2 x))))
(/.f32 (+.f32 4 (/.f32 -4 (*.f32 x x))) (-.f32 -2 (/.f32 -2 x)))
(/.f32 (+.f32 4 (/.f32 -4 (*.f32 x x))) (+.f32 -2 (/.f32 2 x)))
(pow.f32 (-.f32 -2 (/.f32 2 x)) 1)
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(pow.f32 (pow.f32 (-.f32 -2 (/.f32 2 x)) 3) 1/3)
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(pow.f32 (cbrt.f32 (-.f32 -2 (/.f32 2 x))) 3)
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(pow.f32 (sqrt.f32 (-.f32 -2 (/.f32 2 x))) 2)
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(sqrt.f32 (pow.f32 (-.f32 -2 (/.f32 2 x)) 2))
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(log.f32 (exp.f32 (-.f32 -2 (/.f32 2 x))))
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(cbrt.f32 (pow.f32 (-.f32 -2 (/.f32 2 x)) 3))
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(expm1.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))))
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(log1p.f32 (expm1.f32 (-.f32 -2 (/.f32 2 x))))
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(exp.f32 (log.f32 (-.f32 -2 (/.f32 2 x))))
(-.f32 -2 (/.f32 2 x))
(+.f32 -2 (/.f32 -2 x))
(-.f32 (+.f32 1 (log1p.f32 (-.f32 -2 (/.f32 2 x)))) 1)
(+.f32 1 (-.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 1))
(+.f32 (log1p.f32 (+.f32 -2 (/.f32 -2 x))) 0)
(log1p.f32 (+.f32 -2 (/.f32 -2 x)))
(*.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 1)
(+.f32 1 (-.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 1))
(+.f32 (log1p.f32 (+.f32 -2 (/.f32 -2 x))) 0)
(log1p.f32 (+.f32 -2 (/.f32 -2 x)))
(*.f32 1 (log1p.f32 (-.f32 -2 (/.f32 2 x))))
(+.f32 1 (-.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 1))
(+.f32 (log1p.f32 (+.f32 -2 (/.f32 -2 x))) 0)
(log1p.f32 (+.f32 -2 (/.f32 -2 x)))
(*.f32 (cbrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))) (pow.f32 (cbrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))) 2))
(+.f32 1 (-.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 1))
(+.f32 (log1p.f32 (+.f32 -2 (/.f32 -2 x))) 0)
(log1p.f32 (+.f32 -2 (/.f32 -2 x)))
(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))) 2) (cbrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))))
(+.f32 1 (-.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 1))
(+.f32 (log1p.f32 (+.f32 -2 (/.f32 -2 x))) 0)
(log1p.f32 (+.f32 -2 (/.f32 -2 x)))
(*.f32 (sqrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))) (sqrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))))
(+.f32 1 (-.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 1))
(+.f32 (log1p.f32 (+.f32 -2 (/.f32 -2 x))) 0)
(log1p.f32 (+.f32 -2 (/.f32 -2 x)))
(pow.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 1)
(+.f32 1 (-.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 1))
(+.f32 (log1p.f32 (+.f32 -2 (/.f32 -2 x))) 0)
(log1p.f32 (+.f32 -2 (/.f32 -2 x)))
(pow.f32 (pow.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 3) 1/3)
(+.f32 1 (-.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 1))
(+.f32 (log1p.f32 (+.f32 -2 (/.f32 -2 x))) 0)
(log1p.f32 (+.f32 -2 (/.f32 -2 x)))
(pow.f32 (cbrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))) 3)
(+.f32 1 (-.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 1))
(+.f32 (log1p.f32 (+.f32 -2 (/.f32 -2 x))) 0)
(log1p.f32 (+.f32 -2 (/.f32 -2 x)))
(pow.f32 (sqrt.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))) 2)
(+.f32 1 (-.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 1))
(+.f32 (log1p.f32 (+.f32 -2 (/.f32 -2 x))) 0)
(log1p.f32 (+.f32 -2 (/.f32 -2 x)))
(sqrt.f32 (pow.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 2))
(+.f32 1 (-.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 1))
(+.f32 (log1p.f32 (+.f32 -2 (/.f32 -2 x))) 0)
(log1p.f32 (+.f32 -2 (/.f32 -2 x)))
(log.f32 (+.f32 -1 (/.f32 -2 x)))
(log.f32 (+.f32 (/.f32 -2 x) -1))
(cbrt.f32 (pow.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 3))
(+.f32 1 (-.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 1))
(+.f32 (log1p.f32 (+.f32 -2 (/.f32 -2 x))) 0)
(log1p.f32 (+.f32 -2 (/.f32 -2 x)))
(expm1.f32 (log1p.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))))
(+.f32 1 (-.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 1))
(+.f32 (log1p.f32 (+.f32 -2 (/.f32 -2 x))) 0)
(log1p.f32 (+.f32 -2 (/.f32 -2 x)))
(exp.f32 (log.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x)))))
(+.f32 1 (-.f32 (log1p.f32 (-.f32 -2 (/.f32 2 x))) 1))
(+.f32 (log1p.f32 (+.f32 -2 (/.f32 -2 x))) 0)
(log1p.f32 (+.f32 -2 (/.f32 -2 x)))

localize46.0ms (0.9%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 37 to 15 computations (59.5% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite55.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

783×	`pow1_binary32`
733×	`add-log-exp_binary32`
731×	`expm1-log1p-u_binary32`
730×	`log1p-expm1-u_binary32`
718×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	156	15
2	2145	15

Stop Event

1×	node limit

Counts

2 → 53

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log1p.f32 (*.f32 2 (fma.f32 x x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (*.f32 2 (fma.f32 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))) 2) (cbrt.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))) (sqrt.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 (*.f32 2 (fma.f32 x x x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (fma.f32 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 x 4) (-.f32 (*.f32 x x) x)) (/.f32 (*.f32 x x) (-.f32 (*.f32 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x (+.f32 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 x x x)) (pow.f32 (cbrt.f32 (fma.f32 x x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 x x x)) 2) (cbrt.f32 (fma.f32 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (hypot.f32 x (sqrt.f32 x)) (hypot.f32 x (sqrt.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (pow.f32 x 3) (pow.f32 x 6)) (/.f32 1 (+.f32 (pow.f32 x 4) (-.f32 (*.f32 x x) (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (pow.f32 x 4) (*.f32 x x)) (/.f32 1 (-.f32 (*.f32 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 x 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 x 1) 1) x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 x 1) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (+.f32 x 1) (sqrt.f32 x)) (sqrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 (pow.f32 x 4) (-.f32 (*.f32 x x) (pow.f32 x 3))) (+.f32 (pow.f32 x 3) (pow.f32 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (*.f32 x x) x) (-.f32 (pow.f32 x 4) (*.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 x 6)) (+.f32 (pow.f32 x 4) (-.f32 (*.f32 x x) (pow.f32 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 x 3) (pow.f32 x 6)) (+.f32 (*.f32 x x) (-.f32 (pow.f32 x 4) (pow.f32 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 x 4) (*.f32 x x)) (-.f32 (*.f32 x x) x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 x 6))) (neg.f32 (+.f32 (pow.f32 x 4) (-.f32 (*.f32 x x) (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (pow.f32 x 4) (*.f32 x x))) (neg.f32 (-.f32 (*.f32 x x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 x x) (pow.f32 x 4)) (-.f32 x (*.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 x x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 x x x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 x x x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (hypot.f32 x (sqrt.f32 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 x x x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 x x x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 x x x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 x (*.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 x x) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (*.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 x 4)) (pow.f32 (cbrt.f32 x) 2) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (sqrt.f32 x) (*.f32 x x))))))

simplify48.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

607×	`fma-neg_binary32`
457×	`div-sub_binary32`
420×	`fma-def_binary32`
390×	`log-prod_binary32`
341×	`unswap-sqr_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	157	868
1	384	794
2	1268	747
3	5251	743

Stop Event

1×	node limit

Counts

77 → 108

Calls

Call 1

Inputs
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 -4/3 (pow.f32 x 3)))
(+.f32 (.f32 2 x) (+.f32 (.f32 -4/3 (pow.f32 x 3)) (*.f32 2 (pow.f32 x 4))))
(+.f32 (.f32 -8/5 (pow.f32 x 5)) (+.f32 (.f32 2 x) (+.f32 (.f32 -4/3 (pow.f32 x 3)) (.f32 2 (pow.f32 x 4)))))
(+.f32 (log.f32 2) (*.f32 -2 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (+.f32 (*.f32 -2 (log.f32 (/.f32 1 x))) (/.f32 1 x)))
(-.f32 (+.f32 (log.f32 2) (+.f32 (.f32 -2 (log.f32 (/.f32 1 x))) (/.f32 1 x))) (.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 -2 (log.f32 (/.f32 1 x))) (/.f32 1 x)))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(+.f32 (log.f32 2) (*.f32 -2 (log.f32 (/.f32 -1 x))))
(+.f32 (*.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (/.f32 1 x)))
(-.f32 (+.f32 (.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (/.f32 1 x))) (.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(-.f32 (+.f32 (.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 4))) (/.f32 1 x)))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3))))
x
(+.f32 (pow.f32 x 2) x)
(+.f32 (pow.f32 x 2) x)
(+.f32 (pow.f32 x 2) x)
(pow.f32 x 2)
(+.f32 (pow.f32 x 2) x)
(+.f32 (pow.f32 x 2) x)
(+.f32 (pow.f32 x 2) x)
(pow.f32 x 2)
(+.f32 (pow.f32 x 2) x)
(+.f32 (pow.f32 x 2) x)
(+.f32 (pow.f32 x 2) x)
(-.f32 (+.f32 1 (log1p.f32 (*.f32 2 (fma.f32 x x x)))) 1)
(.f32 (log1p.f32 (.f32 2 (fma.f32 x x x))) 1)
(.f32 1 (log1p.f32 (.f32 2 (fma.f32 x x x))))
(.f32 (cbrt.f32 (log1p.f32 (.f32 2 (fma.f32 x x x)))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))) 2))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 2 (fma.f32 x x x)))) 2) (cbrt.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))))
(.f32 (sqrt.f32 (log1p.f32 (.f32 2 (fma.f32 x x x)))) (sqrt.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))))
(pow.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 1)
(pow.f32 (pow.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 2))
(log.f32 (+.f32 (*.f32 2 (fma.f32 x x x)) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))))
(-.f32 (+.f32 1 (fma.f32 x x x)) 1)
(-.f32 (/.f32 (pow.f32 x 4) (-.f32 (.f32 x x) x)) (/.f32 (.f32 x x) (-.f32 (*.f32 x x) x)))
(*.f32 x (+.f32 x 1))
(*.f32 (fma.f32 x x x) 1)
(*.f32 1 (fma.f32 x x x))
(*.f32 (cbrt.f32 (fma.f32 x x x)) (pow.f32 (cbrt.f32 (fma.f32 x x x)) 2))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 x x x)) 2) (cbrt.f32 (fma.f32 x x x)))
(*.f32 (hypot.f32 x (sqrt.f32 x)) (hypot.f32 x (sqrt.f32 x)))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 x 6)) (/.f32 1 (+.f32 (pow.f32 x 4) (-.f32 (.f32 x x) (pow.f32 x 3)))))
(.f32 (-.f32 (pow.f32 x 4) (.f32 x x)) (/.f32 1 (-.f32 (*.f32 x x) x)))
(*.f32 (+.f32 x 1) x)
(.f32 (.f32 (+.f32 x 1) 1) x)
(.f32 (.f32 (+.f32 x 1) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x))
(.f32 (.f32 (+.f32 x 1) (sqrt.f32 x)) (sqrt.f32 x))
(/.f32 1 (/.f32 (+.f32 (pow.f32 x 4) (-.f32 (*.f32 x x) (pow.f32 x 3))) (+.f32 (pow.f32 x 3) (pow.f32 x 6))))
(/.f32 1 (/.f32 (-.f32 (.f32 x x) x) (-.f32 (pow.f32 x 4) (.f32 x x))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 x 6)) (+.f32 (pow.f32 x 4) (-.f32 (*.f32 x x) (pow.f32 x 3))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 x 6)) (+.f32 (*.f32 x x) (-.f32 (pow.f32 x 4) (pow.f32 x 3))))
(/.f32 (-.f32 (pow.f32 x 4) (.f32 x x)) (-.f32 (.f32 x x) x))
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 x 6))) (neg.f32 (+.f32 (pow.f32 x 4) (-.f32 (*.f32 x x) (pow.f32 x 3)))))
(/.f32 (neg.f32 (-.f32 (pow.f32 x 4) (.f32 x x))) (neg.f32 (-.f32 (.f32 x x) x)))
(/.f32 (-.f32 (.f32 x x) (pow.f32 x 4)) (-.f32 x (.f32 x x)))
(pow.f32 (fma.f32 x x x) 1)
(pow.f32 (pow.f32 (fma.f32 x x x) 3) 1/3)
(pow.f32 (cbrt.f32 (fma.f32 x x x)) 3)
(pow.f32 (hypot.f32 x (sqrt.f32 x)) 2)
(sqrt.f32 (pow.f32 (fma.f32 x x x) 2))
(log.f32 (exp.f32 (fma.f32 x x x)))
(cbrt.f32 (pow.f32 (fma.f32 x x x) 3))
(expm1.f32 (log1p.f32 (fma.f32 x x x)))
(log1p.f32 (expm1.f32 (fma.f32 x x x)))
(exp.f32 (log.f32 (fma.f32 x x x)))
(fma.f32 x x x)
(fma.f32 1 x (*.f32 x x))
(fma.f32 1 (*.f32 x x) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (*.f32 x x))
(fma.f32 (cbrt.f32 (pow.f32 x 4)) (pow.f32 (cbrt.f32 x) 2) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (*.f32 x x))

Outputs
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 -4/3 (pow.f32 x 3)))
(fma.f32 2 x (*.f32 -4/3 (pow.f32 x 3)))
(fma.f32 -4/3 (pow.f32 x 3) (*.f32 2 x))
(+.f32 (.f32 2 x) (+.f32 (.f32 -4/3 (pow.f32 x 3)) (*.f32 2 (pow.f32 x 4))))
(fma.f32 2 x (fma.f32 -4/3 (pow.f32 x 3) (*.f32 2 (pow.f32 x 4))))
(fma.f32 2 x (fma.f32 2 (pow.f32 x 4) (*.f32 -4/3 (pow.f32 x 3))))
(fma.f32 -4/3 (pow.f32 x 3) (*.f32 2 (+.f32 (pow.f32 x 4) x)))
(fma.f32 -4/3 (pow.f32 x 3) (*.f32 2 (+.f32 x (pow.f32 x 4))))
(+.f32 (.f32 -8/5 (pow.f32 x 5)) (+.f32 (.f32 2 x) (+.f32 (.f32 -4/3 (pow.f32 x 3)) (.f32 2 (pow.f32 x 4)))))
(fma.f32 -8/5 (pow.f32 x 5) (fma.f32 2 x (fma.f32 -4/3 (pow.f32 x 3) (*.f32 2 (pow.f32 x 4)))))
(fma.f32 -8/5 (pow.f32 x 5) (fma.f32 2 x (fma.f32 2 (pow.f32 x 4) (*.f32 -4/3 (pow.f32 x 3)))))
(fma.f32 -8/5 (pow.f32 x 5) (fma.f32 -4/3 (pow.f32 x 3) (*.f32 2 (+.f32 (pow.f32 x 4) x))))
(fma.f32 -8/5 (pow.f32 x 5) (fma.f32 -4/3 (pow.f32 x 3) (*.f32 2 (+.f32 x (pow.f32 x 4)))))
(+.f32 (log.f32 2) (*.f32 -2 (log.f32 (/.f32 1 x))))
(+.f32 (log.f32 2) (*.f32 -2 (neg.f32 (log.f32 x))))
(fma.f32 -2 (neg.f32 (log.f32 x)) (log.f32 2))
(+.f32 (log.f32 2) (*.f32 2 (log.f32 x)))
(+.f32 (log.f32 2) (+.f32 (*.f32 -2 (log.f32 (/.f32 1 x))) (/.f32 1 x)))
(+.f32 (log.f32 2) (fma.f32 -2 (neg.f32 (log.f32 x)) (/.f32 1 x)))
(+.f32 (log.f32 2) (+.f32 (/.f32 1 x) (*.f32 2 (log.f32 x))))
(-.f32 (+.f32 (log.f32 2) (+.f32 (.f32 -2 (log.f32 (/.f32 1 x))) (/.f32 1 x))) (.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(+.f32 (log.f32 2) (-.f32 (fma.f32 -2 (neg.f32 (log.f32 x)) (/.f32 1 x)) (/.f32 1/6 (pow.f32 x 3))))
(+.f32 (fma.f32 -2 (neg.f32 (log.f32 x)) (/.f32 1 x)) (-.f32 (log.f32 2) (/.f32 1/6 (pow.f32 x 3))))
(+.f32 (+.f32 (log.f32 2) (+.f32 (/.f32 1 x) (*.f32 2 (log.f32 x)))) (/.f32 -1/6 (pow.f32 x 3)))
(+.f32 (/.f32 1 x) (+.f32 (fma.f32 2 (log.f32 x) (/.f32 -1/6 (pow.f32 x 3))) (log.f32 2)))
(-.f32 (+.f32 (log.f32 2) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 4))) (+.f32 (.f32 -2 (log.f32 (/.f32 1 x))) (/.f32 1 x)))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(+.f32 (log.f32 2) (-.f32 (+.f32 (fma.f32 -2 (neg.f32 (log.f32 x)) (/.f32 1 x)) (/.f32 1/8 (pow.f32 x 4))) (/.f32 1/6 (pow.f32 x 3))))
(+.f32 (+.f32 (fma.f32 -2 (neg.f32 (log.f32 x)) (/.f32 1 x)) (/.f32 1/8 (pow.f32 x 4))) (-.f32 (log.f32 2) (/.f32 1/6 (pow.f32 x 3))))
(+.f32 (log.f32 2) (+.f32 (/.f32 1 x) (+.f32 (+.f32 (*.f32 2 (log.f32 x)) (/.f32 1/8 (pow.f32 x 4))) (/.f32 -1/6 (pow.f32 x 3)))))
(+.f32 (+.f32 (/.f32 1 x) (+.f32 (log.f32 2) (/.f32 1/8 (pow.f32 x 4)))) (fma.f32 2 (log.f32 x) (/.f32 -1/6 (pow.f32 x 3))))
(+.f32 (log.f32 2) (*.f32 -2 (log.f32 (/.f32 -1 x))))
(fma.f32 -2 (log.f32 (/.f32 -1 x)) (log.f32 2))
(+.f32 (*.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (/.f32 1 x)))
(fma.f32 -2 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 2) (/.f32 1 x)))
(+.f32 (log.f32 2) (fma.f32 -2 (log.f32 (/.f32 -1 x)) (/.f32 1 x)))
(-.f32 (+.f32 (.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (/.f32 1 x))) (.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(-.f32 (fma.f32 -2 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 2) (/.f32 1 x))) (/.f32 1/6 (pow.f32 x 3)))
(+.f32 (fma.f32 -2 (log.f32 (/.f32 -1 x)) (+.f32 (log.f32 2) (/.f32 1 x))) (/.f32 -1/6 (pow.f32 x 3)))
(+.f32 (log.f32 2) (-.f32 (fma.f32 -2 (log.f32 (/.f32 -1 x)) (/.f32 1 x)) (/.f32 1/6 (pow.f32 x 3))))
(+.f32 (log.f32 2) (+.f32 (fma.f32 -2 (log.f32 (/.f32 -1 x)) (/.f32 1 x)) (/.f32 -1/6 (pow.f32 x 3))))
(-.f32 (+.f32 (.f32 -2 (log.f32 (/.f32 -1 x))) (+.f32 (log.f32 2) (+.f32 (.f32 1/8 (/.f32 1 (pow.f32 x 4))) (/.f32 1 x)))) (*.f32 1/6 (/.f32 1 (pow.f32 x 3))))
(-.f32 (fma.f32 -2 (log.f32 (/.f32 -1 x)) (+.f32 (+.f32 (log.f32 2) (/.f32 1/8 (pow.f32 x 4))) (/.f32 1 x))) (/.f32 1/6 (pow.f32 x 3)))
(fma.f32 -2 (log.f32 (/.f32 -1 x)) (+.f32 (+.f32 (log.f32 2) (/.f32 1/8 (pow.f32 x 4))) (-.f32 (/.f32 1 x) (/.f32 1/6 (pow.f32 x 3)))))
(+.f32 (/.f32 1/8 (pow.f32 x 4)) (+.f32 (log.f32 2) (-.f32 (fma.f32 -2 (log.f32 (/.f32 -1 x)) (/.f32 1 x)) (/.f32 1/6 (pow.f32 x 3)))))
(+.f32 (+.f32 (log.f32 2) (/.f32 1/8 (pow.f32 x 4))) (+.f32 (fma.f32 -2 (log.f32 (/.f32 -1 x)) (/.f32 1 x)) (/.f32 -1/6 (pow.f32 x 3))))
x
(+.f32 (pow.f32 x 2) x)
(fma.f32 x x x)
(+.f32 (pow.f32 x 2) x)
(fma.f32 x x x)
(+.f32 (pow.f32 x 2) x)
(fma.f32 x x x)
(pow.f32 x 2)
(*.f32 x x)
(+.f32 (pow.f32 x 2) x)
(fma.f32 x x x)
(+.f32 (pow.f32 x 2) x)
(fma.f32 x x x)
(+.f32 (pow.f32 x 2) x)
(fma.f32 x x x)
(pow.f32 x 2)
(*.f32 x x)
(+.f32 (pow.f32 x 2) x)
(fma.f32 x x x)
(+.f32 (pow.f32 x 2) x)
(fma.f32 x x x)
(+.f32 (pow.f32 x 2) x)
(fma.f32 x x x)
(-.f32 (+.f32 1 (log1p.f32 (*.f32 2 (fma.f32 x x x)))) 1)
(+.f32 1 (-.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 0)
(log1p.f32 (*.f32 2 (fma.f32 x x x)))
(.f32 (log1p.f32 (.f32 2 (fma.f32 x x x))) 1)
(+.f32 1 (-.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 0)
(log1p.f32 (*.f32 2 (fma.f32 x x x)))
(.f32 1 (log1p.f32 (.f32 2 (fma.f32 x x x))))
(+.f32 1 (-.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 0)
(log1p.f32 (*.f32 2 (fma.f32 x x x)))
(.f32 (cbrt.f32 (log1p.f32 (.f32 2 (fma.f32 x x x)))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))) 2))
(+.f32 1 (-.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 0)
(log1p.f32 (*.f32 2 (fma.f32 x x x)))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 2 (fma.f32 x x x)))) 2) (cbrt.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))))
(+.f32 1 (-.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 0)
(log1p.f32 (*.f32 2 (fma.f32 x x x)))
(.f32 (sqrt.f32 (log1p.f32 (.f32 2 (fma.f32 x x x)))) (sqrt.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))))
(+.f32 1 (-.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 0)
(log1p.f32 (*.f32 2 (fma.f32 x x x)))
(pow.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 1)
(+.f32 1 (-.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 0)
(log1p.f32 (*.f32 2 (fma.f32 x x x)))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 3) 1/3)
(+.f32 1 (-.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 0)
(log1p.f32 (*.f32 2 (fma.f32 x x x)))
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))) 3)
(+.f32 1 (-.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 0)
(log1p.f32 (*.f32 2 (fma.f32 x x x)))
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))) 2)
(+.f32 1 (-.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 0)
(log1p.f32 (*.f32 2 (fma.f32 x x x)))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 2))
(+.f32 1 (-.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 0)
(log1p.f32 (*.f32 2 (fma.f32 x x x)))
(log.f32 (+.f32 (*.f32 2 (fma.f32 x x x)) 1))
(+.f32 1 (-.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 0)
(log1p.f32 (*.f32 2 (fma.f32 x x x)))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 3))
(+.f32 1 (-.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 0)
(log1p.f32 (*.f32 2 (fma.f32 x x x)))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))))
(+.f32 1 (-.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 0)
(log1p.f32 (*.f32 2 (fma.f32 x x x)))
(exp.f32 (log.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x)))))
(+.f32 1 (-.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 1))
(+.f32 (log1p.f32 (*.f32 2 (fma.f32 x x x))) 0)
(log1p.f32 (*.f32 2 (fma.f32 x x x)))
(-.f32 (+.f32 1 (fma.f32 x x x)) 1)
(fma.f32 x x x)
(-.f32 (/.f32 (pow.f32 x 4) (-.f32 (.f32 x x) x)) (/.f32 (.f32 x x) (-.f32 (*.f32 x x) x)))
(fma.f32 x x x)
(*.f32 x (+.f32 x 1))
(fma.f32 x x x)
(*.f32 (fma.f32 x x x) 1)
(fma.f32 x x x)
(*.f32 1 (fma.f32 x x x))
(fma.f32 x x x)
(*.f32 (cbrt.f32 (fma.f32 x x x)) (pow.f32 (cbrt.f32 (fma.f32 x x x)) 2))
(fma.f32 x x x)
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 x x x)) 2) (cbrt.f32 (fma.f32 x x x)))
(fma.f32 x x x)
(*.f32 (hypot.f32 x (sqrt.f32 x)) (hypot.f32 x (sqrt.f32 x)))
(fma.f32 x x x)
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 x 6)) (/.f32 1 (+.f32 (pow.f32 x 4) (-.f32 (.f32 x x) (pow.f32 x 3)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 x 6)) (-.f32 (fma.f32 x x (pow.f32 x 4)) (pow.f32 x 3)))
(.f32 (-.f32 (pow.f32 x 4) (.f32 x x)) (/.f32 1 (-.f32 (*.f32 x x) x)))
(fma.f32 x x x)
(*.f32 (+.f32 x 1) x)
(fma.f32 x x x)
(.f32 (.f32 (+.f32 x 1) 1) x)
(fma.f32 x x x)
(.f32 (.f32 (+.f32 x 1) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x))
(fma.f32 x x x)
(.f32 (.f32 (+.f32 x 1) (sqrt.f32 x)) (sqrt.f32 x))
(fma.f32 x x x)
(/.f32 1 (/.f32 (+.f32 (pow.f32 x 4) (-.f32 (*.f32 x x) (pow.f32 x 3))) (+.f32 (pow.f32 x 3) (pow.f32 x 6))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 x 6)) (/.f32 1 (+.f32 (pow.f32 x 4) (-.f32 (.f32 x x) (pow.f32 x 3)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 x 6)) (-.f32 (fma.f32 x x (pow.f32 x 4)) (pow.f32 x 3)))
(/.f32 1 (/.f32 (-.f32 (.f32 x x) x) (-.f32 (pow.f32 x 4) (.f32 x x))))
(fma.f32 x x x)
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 x 6)) (+.f32 (pow.f32 x 4) (-.f32 (*.f32 x x) (pow.f32 x 3))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 x 6)) (/.f32 1 (+.f32 (pow.f32 x 4) (-.f32 (.f32 x x) (pow.f32 x 3)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 x 6)) (-.f32 (fma.f32 x x (pow.f32 x 4)) (pow.f32 x 3)))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 x 6)) (+.f32 (*.f32 x x) (-.f32 (pow.f32 x 4) (pow.f32 x 3))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 x 6)) (/.f32 1 (+.f32 (pow.f32 x 4) (-.f32 (.f32 x x) (pow.f32 x 3)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 x 6)) (-.f32 (fma.f32 x x (pow.f32 x 4)) (pow.f32 x 3)))
(/.f32 (-.f32 (pow.f32 x 4) (.f32 x x)) (-.f32 (.f32 x x) x))
(fma.f32 x x x)
(/.f32 (neg.f32 (+.f32 (pow.f32 x 3) (pow.f32 x 6))) (neg.f32 (+.f32 (pow.f32 x 4) (-.f32 (*.f32 x x) (pow.f32 x 3)))))
(.f32 (+.f32 (pow.f32 x 3) (pow.f32 x 6)) (/.f32 1 (+.f32 (pow.f32 x 4) (-.f32 (.f32 x x) (pow.f32 x 3)))))
(/.f32 (+.f32 (pow.f32 x 3) (pow.f32 x 6)) (-.f32 (fma.f32 x x (pow.f32 x 4)) (pow.f32 x 3)))
(/.f32 (neg.f32 (-.f32 (pow.f32 x 4) (.f32 x x))) (neg.f32 (-.f32 (.f32 x x) x)))
(fma.f32 x x x)
(/.f32 (-.f32 (.f32 x x) (pow.f32 x 4)) (-.f32 x (.f32 x x)))
(fma.f32 x x x)
(pow.f32 (fma.f32 x x x) 1)
(fma.f32 x x x)
(pow.f32 (pow.f32 (fma.f32 x x x) 3) 1/3)
(fma.f32 x x x)
(pow.f32 (cbrt.f32 (fma.f32 x x x)) 3)
(fma.f32 x x x)
(pow.f32 (hypot.f32 x (sqrt.f32 x)) 2)
(fma.f32 x x x)
(sqrt.f32 (pow.f32 (fma.f32 x x x) 2))
(fma.f32 x x x)
(log.f32 (exp.f32 (fma.f32 x x x)))
(fma.f32 x x x)
(cbrt.f32 (pow.f32 (fma.f32 x x x) 3))
(fma.f32 x x x)
(expm1.f32 (log1p.f32 (fma.f32 x x x)))
(fma.f32 x x x)
(log1p.f32 (expm1.f32 (fma.f32 x x x)))
(fma.f32 x x x)
(exp.f32 (log.f32 (fma.f32 x x x)))
(fma.f32 x x x)
(fma.f32 x x x)
(fma.f32 1 x (*.f32 x x))
(fma.f32 x x x)
(fma.f32 1 (*.f32 x x) x)
(fma.f32 x x x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (*.f32 x x))
(fma.f32 x x x)
(fma.f32 (cbrt.f32 (pow.f32 x 4)) (pow.f32 (cbrt.f32 x) 2) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 (pow.f32 x 4)) x)
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (*.f32 x x))
(fma.f32 x x x)

localize59.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 1)
	0.1b	(*.f32 x (/.f32 -2 (+.f32 x -1)))
	0.1b	(/.f32 -2 (+.f32 x -1))
✓	24.4b	(log.f32 (+.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))) 1))

Compiler

Compiled 52 to 41 computations (21.2% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite74.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

449×	`log-prod_binary32`
434×	`prod-diff_binary32`
342×	`exp-prod_binary32`
265×	`pow-prod-down_binary32`
259×	`pow2_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	24
1	216	23
2	2728	23

Stop Event

1×	node limit

Counts

2 → 122

Calls

Call 1

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

Outputs

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(*.f32 1/3 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))) (*.f32 1/3 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (/.f32 (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) (-.f32 1 (/.f32 (*.f32 x -2) (+.f32 x -1)))) (+.f32 1 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 0 (log.f32 (/.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) -1) (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 3)) (log.f32 (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) (-.f32 1 (/.f32 (*.f32 x -2) (+.f32 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) (/.f32 (*.f32 x -2) (+.f32 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) -1)) (log.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (neg.f32 (+.f32 1 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 3)))) (log.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) (-.f32 1 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) -1))) (log.f32 (neg.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2))) (log1p.f32 (neg.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 2)) (cbrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) (sqrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 (*.f32 1/2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 3 (*.f32 1/3 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1/3 (*.f32 3 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))) 2)) (cbrt.f32 (log.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))) (sqrt.f32 (log.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) (-.f32 1 (/.f32 (*.f32 x -2) (+.f32 x -1)))) (+.f32 1 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (log.f32 (/.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) -1) (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) (fma.f32 x (/.f32 -2 (+.f32 x -1)) -1)) (/.f32 1 (fma.f32 x (/.f32 -2 (+.f32 x -1)) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)) (pow.f32 (cbrt.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)) 2) (cbrt.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)) (sqrt.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 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(/.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) -1) (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 3)) (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) (-.f32 1 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 3)) (+.f32 1 (-.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) (/.f32 (*.f32 x -2) (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) -1) (fma.f32 x (/.f32 -2 (+.f32 x -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 1 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 3))) (neg.f32 (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) (-.f32 1 (/.f32 (*.f32 x -2) (+.f32 x -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) -1)) 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(#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))) (sqrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))) (*.f32 (sqrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 2))) (cbrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))) (#(struct:change #<rule egg-rr> 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-2) (+.f32 x -1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 1/2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -2 (*.f32 (/.f32 1 (+.f32 x -1)) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 -2 (+.f32 x -1)) x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (/.f32 (*.f32 x -2) (+.f32 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 x) 2) (*.f32 (cbrt.f32 x) (/.f32 -2 (+.f32 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) 2) (*.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) (cbrt.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2)) (cbrt.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2)) (*.f32 (cbrt.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (/.f32 -2 (+.f32 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (/.f32 -2 (+.f32 x -1))) (*.f32 (sqrt.f32 (/.f32 -2 (+.f32 x -1))) x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) (sqrt.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) (*.f32 (sqrt.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 x -2) (/.f32 1 (+.f32 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 x 1) (/.f32 -2 (+.f32 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 x (pow.f32 (cbrt.f32 (+.f32 x -1)) 2)) (/.f32 -2 (cbrt.f32 (+.f32 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 x (sqrt.f32 (+.f32 x -1))) (/.f32 -2 (sqrt.f32 (+.f32 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 (*.f32 x -2) (+.f32 -1 (pow.f32 x 3))) (-.f32 (fma.f32 x x 1) (*.f32 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 (*.f32 x -2) (fma.f32 x x -1)) (+.f32 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 x (pow.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) 2)) (cbrt.f32 (/.f32 -2 (+.f32 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 x (sqrt.f32 (/.f32 -2 (+.f32 x -1)))) (sqrt.f32 (/.f32 -2 (+.f32 x -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (/.f32 -2 (+.f32 x -1)) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (/.f32 -2 (+.f32 x -1)) (sqrt.f32 x)) (sqrt.f32 x) 1)))))

simplify77.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

430×	`associate-/l*_binary32`
318×	`unswap-sqr_binary32`
279×	`associate-/r*_binary32`
251×	`sqr-pow_binary32`
247×	`distribute-rgt-out_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	322	3236
1	792	3131
2	2585	3032

Stop Event

1×	node limit

Counts

146 → 197

Calls

Call 1

Inputs
(*.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))))))
1
(+.f32 (*.f32 2 x) 1)
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 x) 1))
(+.f32 (.f32 2 (pow.f32 x 3)) (+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 x) 1)))
-1
(neg.f32 (+.f32 1 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 1 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 1 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
-1
(neg.f32 (+.f32 1 (*.f32 2 (/.f32 1 x))))
(neg.f32 (+.f32 1 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(neg.f32 (+.f32 1 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(+.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 0)
(+.f32 0 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))
(+.f32 (log1p.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 3)) (log.f32 (/.f32 1 (+.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2) (-.f32 1 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))
(+.f32 (.f32 1/3 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1)))) (.f32 2 (.f32 1/3 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))
(+.f32 (log.f32 (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) -1)) (log.f32 (/.f32 1 (fma.f32 x (/.f32 -2 (+.f32 x -1)) -1))))
(+.f32 (.f32 1/2 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1)))) (.f32 1/2 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1)))))
(+.f32 (.f32 2 (.f32 1/3 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))))) (.f32 1/3 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(-.f32 0 (log.f32 (/.f32 (+.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2) (-.f32 1 (/.f32 (.f32 x -2) (+.f32 x -1)))) (+.f32 1 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 3)))))
(-.f32 0 (log.f32 (/.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) -1) (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) -1))))
(-.f32 (log1p.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 3)) (log.f32 (+.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2) (-.f32 1 (/.f32 (*.f32 x -2) (+.f32 x -1))))))
(-.f32 (log1p.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2) (/.f32 (*.f32 x -2) (+.f32 x -1))))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))) 1)
(-.f32 (log.f32 (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) -1)) (log.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) -1)))
(-.f32 (log.f32 (neg.f32 (+.f32 1 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 3)))) (log.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2) (-.f32 1 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) -1))) (log.f32 (neg.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) -1))))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2))) (log1p.f32 (neg.f32 (/.f32 (.f32 x -2) (+.f32 x -1)))))
(.f32 1 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))))
(.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) 1)
(.f32 (cbrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1)))) (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 2)))
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) 2)) (cbrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(.f32 (sqrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1)))) (sqrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(.f32 2 (.f32 1/2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(.f32 3 (.f32 1/3 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(.f32 1/3 (.f32 3 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(pow.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 1)
(pow.f32 (E.f32) (log.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(pow.f32 (pow.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 2)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))))) 2)) (cbrt.f32 (log.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1)))))) (sqrt.f32 (log.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))))))
(neg.f32 (log.f32 (/.f32 (+.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2) (-.f32 1 (/.f32 (.f32 x -2) (+.f32 x -1)))) (+.f32 1 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 3)))))
(neg.f32 (log.f32 (/.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) -1) (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) -1))))
(sqrt.f32 (pow.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 2))
(cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))
(exp.f32 (log.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1)))) 1))
(exp.f32 (.f32 (.f32 3 (log.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))) 1/3))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))))) 3))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))))) 2))
(exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 1) 1))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1))) 1)
(-.f32 (/.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) (fma.f32 x (/.f32 -2 (+.f32 x -1)) -1)) (/.f32 1 (fma.f32 x (/.f32 -2 (+.f32 x -1)) -1)))
(*.f32 1 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1))
(*.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1) 1)
(*.f32 (cbrt.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)) (pow.f32 (cbrt.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)) 2))
(*.f32 (pow.f32 (cbrt.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)) 2) (cbrt.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)))
(*.f32 (sqrt.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)) (sqrt.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)))
(.f32 (+.f32 1 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 3)) (/.f32 1 (+.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2) (-.f32 1 (/.f32 (.f32 x -2) (+.f32 x -1))))))
(.f32 (+.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2) -1) (/.f32 1 (fma.f32 x (/.f32 -2 (+.f32 x -1)) -1)))
(.f32 (pow.f32 (E.f32) (.f32 1/2 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))))) (pow.f32 (E.f32) (.f32 1/2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))
(.f32 (pow.f32 (E.f32) (.f32 2 (.f32 1/3 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1)))))) (pow.f32 (E.f32) (.f32 1/3 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))))))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2) (-.f32 1 (/.f32 (.f32 x -2) (+.f32 x -1)))) (+.f32 1 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 3))))
(/.f32 1 (/.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) -1) (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) -1)))
(/.f32 (+.f32 1 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 3)) (+.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2) (-.f32 1 (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(/.f32 (+.f32 1 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 3)) (+.f32 1 (-.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2) (/.f32 (*.f32 x -2) (+.f32 x -1)))))
(/.f32 (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) -1) (fma.f32 x (/.f32 -2 (+.f32 x -1)) -1))
(/.f32 (neg.f32 (+.f32 1 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 3))) (neg.f32 (+.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2) (-.f32 1 (/.f32 (*.f32 x -2) (+.f32 x -1))))))
(/.f32 (neg.f32 (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) -1)) (neg.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) -1)))
(/.f32 (-.f32 1 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2)) (-.f32 1 (/.f32 (.f32 x -2) (+.f32 x -1))))
(/.f32 (pow.f32 (E.f32) (exp.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))))) (E.f32))
(/.f32 (pow.f32 (E.f32) (log.f32 (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) -1))) (pow.f32 (E.f32) (log.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) -1))))
(/.f32 (pow.f32 (E.f32) (log1p.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 3))) (pow.f32 (E.f32) (log.f32 (+.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2) (-.f32 1 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))
(pow.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1) 1)
(pow.f32 (E.f32) (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))
(pow.f32 (pow.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1) 2) 1/2)
(pow.f32 (pow.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1) 3) 1/3)
(pow.f32 (cbrt.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)) 3)
(pow.f32 (sqrt.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)) 2)
(pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))))) (sqrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1)))))
(pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))))) (.f32 (sqrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 1))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) 2))) (cbrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1)))))
(pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) 2))) (.f32 (cbrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 1))
(pow.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))))) (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) 2)))
(pow.f32 (/.f32 (+.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2) (-.f32 1 (/.f32 (.f32 x -2) (+.f32 x -1)))) (+.f32 1 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 3))) -1)
(pow.f32 (/.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) -1) (+.f32 (pow.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 2) -1)) -1)
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))))) 1) (sqrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1)))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))))) (cbrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))))) (cbrt.f32 (sqrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))))) (sqrt.f32 (sqrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1)))))) (sqrt.f32 (sqrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))
(pow.f32 (pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))))) (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) 2)))) (sqrt.f32 (cbrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) 2))) 1) (cbrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1)))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) 2))) (cbrt.f32 (sqrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1)))))) (cbrt.f32 (sqrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) 2))) (cbrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) 2)))) (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) 2))) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))))) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) 2))) (sqrt.f32 (cbrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1)))))) (sqrt.f32 (cbrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))
(sqrt.f32 (pow.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1) 2))
(log.f32 (exp.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1))))
(cbrt.f32 (pow.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1) 3))
(expm1.f32 (log1p.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)))
(log1p.f32 (expm1.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)))
(exp.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))
(exp.f32 (.f32 (.f32 3 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 1/3))
(exp.f32 (.f32 (.f32 1/3 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 3))
(exp.f32 (.f32 (.f32 1/2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 2))
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(fma.f32 -2 (*.f32 (/.f32 1 (+.f32 x -1)) x) 1)
(fma.f32 (/.f32 -2 (+.f32 x -1)) x 1)
(fma.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 1 1)
(fma.f32 1 (/.f32 (*.f32 x -2) (+.f32 x -1)) 1)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (*.f32 (cbrt.f32 x) (/.f32 -2 (+.f32 x -1))) 1)
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) 2) (*.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) x) 1)
(fma.f32 (cbrt.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) (cbrt.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2)) 1)
(fma.f32 (cbrt.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2)) (cbrt.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) 1)
(fma.f32 (cbrt.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2)) (.f32 (cbrt.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 1) 1)
(fma.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (/.f32 -2 (+.f32 x -1))) 1)
(fma.f32 (sqrt.f32 (/.f32 -2 (+.f32 x -1))) (*.f32 (sqrt.f32 (/.f32 -2 (+.f32 x -1))) x) 1)
(fma.f32 (sqrt.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) (sqrt.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) 1)
(fma.f32 (sqrt.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) (.f32 (sqrt.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 1) 1)
(fma.f32 (*.f32 x -2) (/.f32 1 (+.f32 x -1)) 1)
(fma.f32 (/.f32 x 1) (/.f32 -2 (+.f32 x -1)) 1)
(fma.f32 (/.f32 x (pow.f32 (cbrt.f32 (+.f32 x -1)) 2)) (/.f32 -2 (cbrt.f32 (+.f32 x -1))) 1)
(fma.f32 (/.f32 x (sqrt.f32 (+.f32 x -1))) (/.f32 -2 (sqrt.f32 (+.f32 x -1))) 1)
(fma.f32 (/.f32 (.f32 x -2) (+.f32 -1 (pow.f32 x 3))) (-.f32 (fma.f32 x x 1) (.f32 x -1)) 1)
(fma.f32 (/.f32 (*.f32 x -2) (fma.f32 x x -1)) (+.f32 x 1) 1)
(fma.f32 (*.f32 x (pow.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) 2)) (cbrt.f32 (/.f32 -2 (+.f32 x -1))) 1)
(fma.f32 (*.f32 x (sqrt.f32 (/.f32 -2 (+.f32 x -1)))) (sqrt.f32 (/.f32 -2 (+.f32 x -1))) 1)
(fma.f32 (*.f32 (/.f32 -2 (+.f32 x -1)) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) 1)
(fma.f32 (*.f32 (/.f32 -2 (+.f32 x -1)) (sqrt.f32 x)) (sqrt.f32 x) 1)

Outputs
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 2 x (*.f32 2/3 (pow.f32 x 3)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2 x))
(+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(fma.f32 2 x (fma.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)))))
(fma.f32 2/7 (pow.f32 x 7) (fma.f32 2 x (fma.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 (log.f32 -1) (/.f32 2 x))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (+.f32 (/.f32 2/3 (pow.f32 x 3)) (log.f32 -1)) (/.f32 2 x))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2 x) (/.f32 2/3 (pow.f32 x 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 2/3 (pow.f32 x 3)) (log.f32 -1)) (+.f32 (/.f32 2 x) (/.f32 2/5 (pow.f32 x 5))))
(+.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (+.f32 (/.f32 2/5 (pow.f32 x 5)) (/.f32 2/3 (pow.f32 x 3))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (log.f32 -1) (/.f32 2 x))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (+.f32 (/.f32 2/3 (pow.f32 x 3)) (log.f32 -1)) (/.f32 2 x))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2 x) (/.f32 2/3 (pow.f32 x 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 2/3 (pow.f32 x 3)) (log.f32 -1)) (+.f32 (/.f32 2 x) (/.f32 2/5 (pow.f32 x 5))))
(+.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (+.f32 (/.f32 2/5 (pow.f32 x 5)) (/.f32 2/3 (pow.f32 x 3))))
1
(+.f32 (*.f32 2 x) 1)
(fma.f32 2 x 1)
(+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (.f32 2 x) 1))
(fma.f32 2 (*.f32 x x) (fma.f32 2 x 1))
(+.f32 (.f32 2 (pow.f32 x 3)) (+.f32 (.f32 2 (pow.f32 x 2)) (+.f32 (*.f32 2 x) 1)))
(fma.f32 2 (pow.f32 x 3) (fma.f32 2 (*.f32 x x) (fma.f32 2 x 1)))
(+.f32 (.f32 2 (+.f32 (pow.f32 x 3) (+.f32 (.f32 x x) x))) 1)
-1
(neg.f32 (+.f32 1 (*.f32 2 (/.f32 1 x))))
(+.f32 -1 (neg.f32 (/.f32 2 x)))
(+.f32 -1 (/.f32 -2 x))
(neg.f32 (+.f32 1 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 2 x) (/.f32 2 (*.f32 x x)))))
(-.f32 -1 (+.f32 (/.f32 2 x) (/.f32 (/.f32 2 x) x)))
(+.f32 (+.f32 -1 (/.f32 -2 x)) (/.f32 -2 (*.f32 x x)))
(neg.f32 (+.f32 1 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 (+.f32 1 (/.f32 2 x)) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3)))))
(-.f32 -1 (+.f32 (/.f32 2 x) (+.f32 (/.f32 (/.f32 2 x) x) (/.f32 2 (pow.f32 x 3)))))
(+.f32 (+.f32 (+.f32 -1 (/.f32 -2 x)) (/.f32 -2 (*.f32 x x))) (/.f32 -2 (pow.f32 x 3)))
-1
(neg.f32 (+.f32 1 (*.f32 2 (/.f32 1 x))))
(+.f32 -1 (neg.f32 (/.f32 2 x)))
(+.f32 -1 (/.f32 -2 x))
(neg.f32 (+.f32 1 (+.f32 (.f32 2 (/.f32 1 x)) (.f32 2 (/.f32 1 (pow.f32 x 2))))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 2 x) (/.f32 2 (*.f32 x x)))))
(-.f32 -1 (+.f32 (/.f32 2 x) (/.f32 (/.f32 2 x) x)))
(+.f32 (+.f32 -1 (/.f32 -2 x)) (/.f32 -2 (*.f32 x x)))
(neg.f32 (+.f32 1 (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (.f32 2 (/.f32 1 (pow.f32 x 2))) (*.f32 2 (/.f32 1 (pow.f32 x 3)))))))
(neg.f32 (+.f32 (+.f32 1 (/.f32 2 x)) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3)))))
(-.f32 -1 (+.f32 (/.f32 2 x) (+.f32 (/.f32 (/.f32 2 x) x) (/.f32 2 (pow.f32 x 3)))))
(+.f32 (+.f32 (+.f32 -1 (/.f32 -2 x)) (/.f32 -2 (*.f32 x x))) (/.f32 -2 (pow.f32 x 3)))
(+.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 0)
(log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))
(+.f32 0 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))
(log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1))))
(+.f32 (log1p.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 3)) (log.f32 (/.f32 1 (+.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2) (-.f32 1 (/.f32 (*.f32 x -2) (+.f32 x -1)))))))
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(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) 2))) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))))) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))) 2))) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))))) 2)) (cbrt.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) 2))) (sqrt.f32 (cbrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1)))))) (sqrt.f32 (cbrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))))
(pow.f32 (pow.f32 (exp.f32 (cbrt.f32 (pow.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))) 2))) (sqrt.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1))))))) (sqrt.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))))
(sqrt.f32 (pow.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1) 2))
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(log.f32 (exp.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)))
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1))))
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(cbrt.f32 (pow.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1) 3))
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(expm1.f32 (log1p.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)))
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(log1p.f32 (expm1.f32 (fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)))
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(exp.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))
(pow.f32 (E.f32) (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))
(exp.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))
(exp.f32 (.f32 (.f32 3 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 1/3))
(pow.f32 (E.f32) (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))
(exp.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))
(exp.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))
(exp.f32 (.f32 (.f32 1/3 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 3))
(pow.f32 (E.f32) (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))
(exp.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))
(exp.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))
(exp.f32 (.f32 (.f32 1/2 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 2))
(pow.f32 (E.f32) (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))
(exp.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))
(exp.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))))
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(fma.f32 -2 (*.f32 (/.f32 1 (+.f32 x -1)) x) 1)
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(fma.f32 (/.f32 -2 (+.f32 x -1)) x 1)
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(fma.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)) 1 1)
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(fma.f32 1 (/.f32 (*.f32 x -2) (+.f32 x -1)) 1)
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (*.f32 (cbrt.f32 x) (/.f32 -2 (+.f32 x -1))) 1)
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(fma.f32 (pow.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) 2) (*.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) x) 1)
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(fma.f32 (cbrt.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) (cbrt.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2)) 1)
(fma.f32 (cbrt.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))) (cbrt.f32 (pow.f32 (.f32 x (/.f32 -2 (+.f32 x -1))) 2)) 1)
(fma.f32 (cbrt.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2)) (cbrt.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) 1)
(fma.f32 (cbrt.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) (cbrt.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2)) 1)
(fma.f32 (cbrt.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))) (cbrt.f32 (pow.f32 (.f32 x (/.f32 -2 (+.f32 x -1))) 2)) 1)
(fma.f32 (cbrt.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2)) (.f32 (cbrt.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 1) 1)
(fma.f32 (cbrt.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) (cbrt.f32 (pow.f32 (/.f32 (.f32 x -2) (+.f32 x -1)) 2)) 1)
(fma.f32 (cbrt.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))) (cbrt.f32 (pow.f32 (.f32 x (/.f32 -2 (+.f32 x -1))) 2)) 1)
(fma.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (/.f32 -2 (+.f32 x -1))) 1)
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(fma.f32 (sqrt.f32 (/.f32 -2 (+.f32 x -1))) (*.f32 (sqrt.f32 (/.f32 -2 (+.f32 x -1))) x) 1)
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(fma.f32 (sqrt.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) (sqrt.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) 1)
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(fma.f32 (sqrt.f32 (/.f32 (.f32 x -2) (+.f32 x -1))) (.f32 (sqrt.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))) 1) 1)
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(fma.f32 (*.f32 x -2) (/.f32 1 (+.f32 x -1)) 1)
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(fma.f32 (/.f32 x 1) (/.f32 -2 (+.f32 x -1)) 1)
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(fma.f32 (/.f32 x (pow.f32 (cbrt.f32 (+.f32 x -1)) 2)) (/.f32 -2 (cbrt.f32 (+.f32 x -1))) 1)
(fma.f32 (/.f32 x (sqrt.f32 (+.f32 x -1))) (/.f32 -2 (sqrt.f32 (+.f32 x -1))) 1)
(fma.f32 (/.f32 (.f32 x -2) (+.f32 -1 (pow.f32 x 3))) (-.f32 (fma.f32 x x 1) (.f32 x -1)) 1)
(fma.f32 (/.f32 x (/.f32 (+.f32 (pow.f32 x 3) -1) -2)) (-.f32 (fma.f32 x x 1) (*.f32 x -1)) 1)
(fma.f32 (/.f32 x (/.f32 (+.f32 (pow.f32 x 3) -1) -2)) (+.f32 x (fma.f32 x x 1)) 1)
(fma.f32 (*.f32 (/.f32 x (+.f32 (pow.f32 x 3) -1)) -2) (+.f32 x (fma.f32 x x 1)) 1)
(fma.f32 (/.f32 (*.f32 x -2) (fma.f32 x x -1)) (+.f32 x 1) 1)
(fma.f32 (*.f32 (/.f32 x (fma.f32 x x -1)) -2) (+.f32 x 1) 1)
(fma.f32 (*.f32 x (pow.f32 (cbrt.f32 (/.f32 -2 (+.f32 x -1))) 2)) (cbrt.f32 (/.f32 -2 (+.f32 x -1))) 1)
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(fma.f32 (*.f32 x (sqrt.f32 (/.f32 -2 (+.f32 x -1)))) (sqrt.f32 (/.f32 -2 (+.f32 x -1))) 1)
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(fma.f32 (*.f32 (/.f32 -2 (+.f32 x -1)) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) 1)
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)
(fma.f32 (*.f32 (/.f32 -2 (+.f32 x -1)) (sqrt.f32 x)) (sqrt.f32 x) 1)
(fma.f32 x (/.f32 -2 (+.f32 x -1)) 1)

eval329.0ms (6.4%)

Compiler: Compiled 14422 to 11298 computations (21.7% saved)

prune474.0ms (9.3%)

Pruning

9 alts after pruning (4 fresh and 5 done)

	Pruned	Kept	Total
New	748	2	750
Fresh	2	2	4
Picked	0	1	1
Done	3	4	7
Total	753	9	762

Error

Counts

762 → 9

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.7b	(.f32 1/2 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1)))) 3))
▶	24.4b	(.f32 1/2 (-.f32 (+.f32 1 (log1p.f32 (.f32 (/.f32 2 (-.f32 1 x)) x))) 1))
▶	0.9b	(.f32 1/2 (+.f32 (.f32 2 x) (*.f32 2/3 (pow.f32 x 3))))
▶	1.6b	(*.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 2 (/.f32 (-.f32 1 x) x))))
✓	0.2b	(.f32 1/2 (log1p.f32 (.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2)))
✓	0.1b	(.f32 1/2 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))))
✓	24.4b	(.f32 1/2 (log.f32 (+.f32 (.f32 x (/.f32 -2 (+.f32 x -1))) 1)))

Compiler

Compiled 108 to 89 computations (17.6% saved)

localize12.0ms (0.2%)

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

localize88.0ms (1.7%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 37 to 29 computations (21.6% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite38.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

505×	`pow1_binary32`
498×	`add-sqr-sqrt_binary32`
476×	`add-log-exp_binary32`
476×	`log1p-expm1-u_binary32`
476×	`expm1-log1p-u_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	129	7
2	1323	7

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 2/3 (pow.f32 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 2/3 (pow.f32 x 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 2/3 (pow.f32 x 3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 x (cbrt.f32 2/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 2/3) (pow.f32 x 3/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 x 6) 4/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 2/3) (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 2/3 (pow.f32 x 3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 2/3 (pow.f32 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 2/3 (pow.f32 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 2/3 (pow.f32 x 3))))))))

simplify43.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

1129×	`log-prod_binary32`
473×	`exp-sum_binary32`
411×	`distribute-rgt-in_binary32`
404×	`distribute-lft-in_binary32`
330×	`associate-l_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	37	143
1	96	110
2	309	77
3	1859	77
4	5974	77

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

Inputs
(-.f32 (+.f32 1 (*.f32 2/3 (pow.f32 x 3))) 1)
(pow.f32 (*.f32 2/3 (pow.f32 x 3)) 1)
(pow.f32 (pow.f32 (*.f32 2/3 (pow.f32 x 3)) 3) 1/3)
(pow.f32 (*.f32 x (cbrt.f32 2/3)) 3)
(pow.f32 (*.f32 (sqrt.f32 2/3) (pow.f32 x 3/2)) 2)
(sqrt.f32 (*.f32 (pow.f32 x 6) 4/9))
(log.f32 (pow.f32 (exp.f32 2/3) (pow.f32 x 3)))
(cbrt.f32 (pow.f32 (*.f32 2/3 (pow.f32 x 3)) 3))
(expm1.f32 (log1p.f32 (*.f32 2/3 (pow.f32 x 3))))
(log1p.f32 (expm1.f32 (*.f32 2/3 (pow.f32 x 3))))
(exp.f32 (log.f32 (*.f32 2/3 (pow.f32 x 3))))

Outputs
(-.f32 (+.f32 1 (*.f32 2/3 (pow.f32 x 3))) 1)
(+.f32 (+.f32 1 (*.f32 2/3 (pow.f32 x 3))) -1)
(+.f32 (*.f32 2/3 (pow.f32 x 3)) 0)
(*.f32 2/3 (pow.f32 x 3))
(pow.f32 (*.f32 2/3 (pow.f32 x 3)) 1)
(+.f32 (+.f32 1 (*.f32 2/3 (pow.f32 x 3))) -1)
(+.f32 (*.f32 2/3 (pow.f32 x 3)) 0)
(*.f32 2/3 (pow.f32 x 3))
(pow.f32 (pow.f32 (*.f32 2/3 (pow.f32 x 3)) 3) 1/3)
(+.f32 (+.f32 1 (*.f32 2/3 (pow.f32 x 3))) -1)
(+.f32 (*.f32 2/3 (pow.f32 x 3)) 0)
(*.f32 2/3 (pow.f32 x 3))
(pow.f32 (*.f32 x (cbrt.f32 2/3)) 3)
(+.f32 (+.f32 1 (*.f32 2/3 (pow.f32 x 3))) -1)
(+.f32 (*.f32 2/3 (pow.f32 x 3)) 0)
(*.f32 2/3 (pow.f32 x 3))
(pow.f32 (*.f32 (sqrt.f32 2/3) (pow.f32 x 3/2)) 2)
(+.f32 (+.f32 1 (*.f32 2/3 (pow.f32 x 3))) -1)
(+.f32 (*.f32 2/3 (pow.f32 x 3)) 0)
(*.f32 2/3 (pow.f32 x 3))
(sqrt.f32 (*.f32 (pow.f32 x 6) 4/9))
(+.f32 (+.f32 1 (*.f32 2/3 (pow.f32 x 3))) -1)
(+.f32 (*.f32 2/3 (pow.f32 x 3)) 0)
(*.f32 2/3 (pow.f32 x 3))
(log.f32 (pow.f32 (exp.f32 2/3) (pow.f32 x 3)))
(+.f32 (+.f32 1 (*.f32 2/3 (pow.f32 x 3))) -1)
(+.f32 (*.f32 2/3 (pow.f32 x 3)) 0)
(*.f32 2/3 (pow.f32 x 3))
(cbrt.f32 (pow.f32 (*.f32 2/3 (pow.f32 x 3)) 3))
(+.f32 (+.f32 1 (*.f32 2/3 (pow.f32 x 3))) -1)
(+.f32 (*.f32 2/3 (pow.f32 x 3)) 0)
(*.f32 2/3 (pow.f32 x 3))
(expm1.f32 (log1p.f32 (*.f32 2/3 (pow.f32 x 3))))
(+.f32 (+.f32 1 (*.f32 2/3 (pow.f32 x 3))) -1)
(+.f32 (*.f32 2/3 (pow.f32 x 3)) 0)
(*.f32 2/3 (pow.f32 x 3))
(log1p.f32 (expm1.f32 (*.f32 2/3 (pow.f32 x 3))))
(+.f32 (+.f32 1 (*.f32 2/3 (pow.f32 x 3))) -1)
(+.f32 (*.f32 2/3 (pow.f32 x 3)) 0)
(*.f32 2/3 (pow.f32 x 3))
(exp.f32 (log.f32 (*.f32 2/3 (pow.f32 x 3))))
(+.f32 (+.f32 1 (*.f32 2/3 (pow.f32 x 3))) -1)
(+.f32 (*.f32 2/3 (pow.f32 x 3)) 0)
(*.f32 2/3 (pow.f32 x 3))

localize54.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))
✓	0.1b	(*.f32 (/.f32 2 (-.f32 1 x)) x)
✓	0.1b	(/.f32 2 (-.f32 1 x))
✓	24.4b	(-.f32 (+.f32 1 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 1)

Compiler

Compiled 64 to 51 computations (20.3% saved)

series3.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite104.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

635×	`prod-diff_binary32`
466×	`log-prod_binary32`
340×	`fma-def_binary32`
267×	`pow2_binary32`
184×	`pow1/3_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	53
1	232	41
2	3257	41

Stop Event

1×	node limit

Counts

4 → 196

Calls

Call 1

Inputs
(-.f32 (+.f32 1 (log1p.f32 (*.f32 (/.f32 2 (-.f32 1 x)) x))) 1)
(/.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 1 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) -1)))) (#(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 -1 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 2 (/.f32 x (-.f32 1 x)) 1)) 2)) (log.f32 (cbrt.f32 (fma.f32 2 (/.f32 x (-.f32 1 x)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (fma.f32 2 (/.f32 x (-.f32 1 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1 x)))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) (sqrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) (.f32 (sqrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 3)) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 1 (pow.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 3)) (/.f32 1 (fma.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (/.f32 1 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (-.f32 1 (pow.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2)) (/.f32 1 (-.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1)) 2) (cbrt.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1)) (sqrt.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 (sqrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) 1) (expm1.f32 (.f32 1/2 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (+.f32 (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 1) (-.f32 (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 1) 1)))))

simplify139.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

632×	`fma-neg_binary32`
530×	`unswap-sqr_binary32`
413×	`cancel-sign-sub-inv_binary32`
223×	`log-prod_binary32`
190×	`times-frac_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	354	4616
1	877	4450
2	2926	4430

Stop Event

1×	node limit

Counts

244 → 233

Calls

Call 1

Inputs
(*.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))))))
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 1 (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) -1))
(+.f32 1 (.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(+.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(+.f32 0 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(+.f32 -1 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(+.f32 (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) -1) 1)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 2 (/.f32 x (-.f32 1 x)) 1)) 2)) (log.f32 (cbrt.f32 (fma.f32 2 (/.f32 x (-.f32 1 x)) 1))))
(+.f32 (log.f32 (sqrt.f32 (fma.f32 2 (/.f32 x (-.f32 1 x)) 1))) (log.f32 (sqrt.f32 (fma.f32 2 (/.f32 x (-.f32 1 x)) 1))))
(.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))
(.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 1)
(.f32 (cbrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 2))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(.f32 (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) (sqrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 3)) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2))))
(.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (/.f32 1 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2)))
(.f32 (+.f32 (sqrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) 1) (expm1.f32 (.f32 1/2 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2)) (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 3))))
(/.f32 1 (/.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2) (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))))
(/.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 3)) (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2)))
(/.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 3)) (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (-.f32 1 (.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1))))
(/.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2))
(/.f32 (neg.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 3))) (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2))))
(/.f32 (neg.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))))) (neg.f32 (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2)))
(/.f32 (+.f32 1 (pow.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1) 3)) (+.f32 1 (-.f32 (pow.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1) 2) (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) -1))))
(/.f32 (-.f32 1 (pow.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1) 2)) (-.f32 1 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1)))
(pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)
(pow.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2) 1/2)
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 2)
(pow.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 3) 1/3)
(pow.f32 (/.f32 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2)) (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 3))) -1)
(pow.f32 (/.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2) (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))) -1)
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2))
(log.f32 (fma.f32 2 (/.f32 x (-.f32 1 x)) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 3))
(hypot.f32 (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 1))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 1))
(fma.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(fma.f32 1 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(fma.f32 1 (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) -1) 1)
(fma.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1 0)
(fma.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 1 -1)
(fma.f32 (cbrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) 0)
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (cbrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 0)
(fma.f32 (cbrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) (pow.f32 (cbrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) 2) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) 2) (cbrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) 2) (.f32 (cbrt.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) 1) -1)
(fma.f32 (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 0)
(fma.f32 (sqrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) (sqrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) -1)
(fma.f32 (sqrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) (.f32 (sqrt.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) 1) -1)
(fma.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 3)) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2))) 0)
(fma.f32 (+.f32 1 (pow.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 3)) (/.f32 1 (fma.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) -1) 1)) -1)
(fma.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (/.f32 1 (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2)) 0)
(fma.f32 (-.f32 1 (pow.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2)) (/.f32 1 (-.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1)) 2) (cbrt.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1)) 1)
(fma.f32 (sqrt.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1)) (sqrt.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1)) 1)
(fma.f32 (+.f32 (sqrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) 1) (expm1.f32 (.f32 1/2 (log1p.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))) 0)
(fma.f32 (+.f32 (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 1) (-.f32 (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 1) 1)
(+.f32 0 (/.f32 2 (-.f32 1 x)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 2 (-.f32 1 x)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 2 (-.f32 1 x))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 2 (-.f32 1 x))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 2 (-.f32 1 x))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 2 (-.f32 1 x)))) 1)
(*.f32 1 (/.f32 2 (-.f32 1 x)))
(*.f32 2 (/.f32 1 (-.f32 1 x)))
(*.f32 (/.f32 2 (-.f32 1 x)) 1)
(*.f32 (cbrt.f32 (/.f32 2 (-.f32 1 x))) (cbrt.f32 (pow.f32 (-.f32 1/2 (/.f32 x 2)) -2)))
(*.f32 (cbrt.f32 (pow.f32 (-.f32 1/2 (/.f32 x 2)) -2)) (cbrt.f32 (/.f32 2 (-.f32 1 x))))
(*.f32 (sqrt.f32 (/.f32 2 (-.f32 1 x))) (sqrt.f32 (/.f32 2 (-.f32 1 x))))
(*.f32 -2 (/.f32 1 (neg.f32 (-.f32 1 x))))
(*.f32 (/.f32 1 (-.f32 1 x)) 2)
(*.f32 (/.f32 2 (-.f32 1 (pow.f32 x 3))) (+.f32 1 (fma.f32 x x x)))
(.f32 (/.f32 2 (-.f32 1 (.f32 x x))) (+.f32 1 x))
(pow.f32 (/.f32 2 (-.f32 1 x)) 1)
(pow.f32 (pow.f32 (-.f32 1/2 (/.f32 x 2)) -2) 1/2)
(pow.f32 (pow.f32 (/.f32 2 (-.f32 1 x)) 3) 1/3)
(pow.f32 (cbrt.f32 (/.f32 2 (-.f32 1 x))) 3)
(pow.f32 (sqrt.f32 (/.f32 2 (-.f32 1 x))) 2)
(pow.f32 (-.f32 1/2 (/.f32 x 2)) -1)
(pow.f32 (/.f32 (-.f32 1/2 (/.f32 x 2)) 1) -1)
(sqrt.f32 (pow.f32 (-.f32 1/2 (/.f32 x 2)) -2))
(log.f32 (exp.f32 (/.f32 2 (-.f32 1 x))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 2 (-.f32 1 x)))))
(cbrt.f32 (pow.f32 (/.f32 2 (-.f32 1 x)) 3))
(expm1.f32 (log1p.f32 (/.f32 2 (-.f32 1 x))))
(log1p.f32 (expm1.f32 (/.f32 2 (-.f32 1 x))))
(exp.f32 (log.f32 (/.f32 2 (-.f32 1 x))))
(exp.f32 (*.f32 (log.f32 (/.f32 2 (-.f32 1 x))) 1))
(+.f32 0 (*.f32 2 (/.f32 x (-.f32 1 x))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 x) (/.f32 2 (-.f32 1 x)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 x) (/.f32 2 (-.f32 1 x))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 2 (-.f32 1 x))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 x) (/.f32 2 (-.f32 1 x))))))
(-.f32 (fma.f32 2 (/.f32 x (-.f32 1 x)) 1) 1)
(/.f32 1 (/.f32 (-.f32 1 x) (*.f32 2 x)))
(/.f32 2 (/.f32 (-.f32 1 x) x))
(/.f32 x (-.f32 1/2 (/.f32 x 2)))
(/.f32 (*.f32 2 x) (-.f32 1 x))
(/.f32 (neg.f32 (*.f32 2 x)) (neg.f32 (-.f32 1 x)))
(/.f32 (/.f32 (*.f32 2 x) 1) (-.f32 1 x))
(/.f32 (/.f32 (*.f32 2 x) (pow.f32 (cbrt.f32 (-.f32 1 x)) 2)) (cbrt.f32 (-.f32 1 x)))
(/.f32 (/.f32 (*.f32 2 x) (sqrt.f32 (-.f32 1 x))) (sqrt.f32 (-.f32 1 x)))
(/.f32 (*.f32 -2 x) (neg.f32 (-.f32 1 x)))
(/.f32 (*.f32 x -2) (neg.f32 (-.f32 1 x)))
(pow.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 1)
(pow.f32 (pow.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 2) 1/2)
(pow.f32 (pow.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 3) 1/3)
(pow.f32 (cbrt.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 3)
(pow.f32 (sqrt.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2)
(pow.f32 (*.f32 (pow.f32 x 3) (pow.f32 (/.f32 2 (-.f32 1 x)) 3)) 1/3)
(pow.f32 (*.f32 (pow.f32 (/.f32 2 (-.f32 1 x)) 3) (pow.f32 x 3)) 1/3)
(pow.f32 (/.f32 (-.f32 1 x) (*.f32 2 x)) -1)
(sqrt.f32 (pow.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 2))
(log.f32 (pow.f32 (exp.f32 x) (/.f32 2 (-.f32 1 x))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(cbrt.f32 (pow.f32 (*.f32 2 (/.f32 x (-.f32 1 x))) 3))
(cbrt.f32 (*.f32 (pow.f32 x 3) (pow.f32 (/.f32 2 (-.f32 1 x)) 3)))
(cbrt.f32 (*.f32 (pow.f32 (/.f32 2 (-.f32 1 x)) 3) (pow.f32 x 3)))
(expm1.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(log1p.f32 (expm1.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(exp.f32 (log.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(exp.f32 (.f32 (log.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 1))
(fma.f32 1 (fma.f32 2 (/.f32 x (-.f32 1 x)) 1) -1)
(fma.f32 (E.f32) (exp.f32 (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) -1)) -1)
(fma.f32 (*.f32 (E.f32) (fma.f32 2 (/.f32 x (-.f32 1 x)) 1)) (exp.f32 -1) -1)
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 2 (/.f32 x (-.f32 1 x)) 1)) 2) (cbrt.f32 (fma.f32 2 (/.f32 x (-.f32 1 x)) 1)) -1)
(fma.f32 (sqrt.f32 (fma.f32 2 (/.f32 x (-.f32 1 x)) 1)) (sqrt.f32 (fma.f32 2 (/.f32 x (-.f32 1 x)) 1)) -1)
(+.f32 1 (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) -1))
(+.f32 1 (.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1) 1))
(+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(+.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(+.f32 0 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))
(+.f32 -1 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(+.f32 (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) -1) 1)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 2 (/.f32 x (-.f32 1 x)) 1)) 2)) (log.f32 (cbrt.f32 (fma.f32 2 (/.f32 x (-.f32 1 x)) 1))))
(+.f32 (log.f32 (sqrt.f32 (fma.f32 2 (/.f32 x (-.f32 1 x)) 1))) (log.f32 (sqrt.f32 (fma.f32 2 (/.f32 x (-.f32 1 x)) 1))))
(-.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 1)
(-.f32 (log1p.f32 (pow.f32 (.f32 2 (/.f32 x (-.f32 1 x))) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 2 (/.f32 x (-.f32 1 x))) 2) (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(-.f32 (/.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 3) (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2))) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2))))
(-.f32 (/.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2)) (/.f32 1 (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2)))
(-.f32 (log.f32 (-.f32 1 (pow.f32 (.f32 2 (/.f32 x (-.f32 1 x))) 2))) (log.f32 (-.f32 1 (.f32 2 (/.f32 x (-.f32 1 x))))))
(.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))
(.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 1)
(.f32 (cbrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 2))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(.f32 (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) (sqrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 3)) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2))))
(.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (/.f32 1 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2)))
(.f32 (+.f32 (sqrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) 1) (expm1.f32 (.f32 1/2 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2)) (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 3))))
(/.f32 1 (/.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2) (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))))
(/.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 3)) (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2)))
(/.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 3)) (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (-.f32 1 (.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1))))
(/.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2))
(/.f32 (neg.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 3))) (neg.f32 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2))))
(/.f32 (neg.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))))) (neg.f32 (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2)))
(/.f32 (+.f32 1 (pow.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1) 3)) (+.f32 1 (-.f32 (pow.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1) 2) (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) -1))))
(/.f32 (-.f32 1 (pow.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1) 2)) (-.f32 1 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1)))
(pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)
(pow.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2) 1/2)
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 2)
(pow.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 3) 1/3)
(pow.f32 (/.f32 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2)) (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 3))) -1)
(pow.f32 (/.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2) (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))) -1)
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2))
(log.f32 (fma.f32 2 (/.f32 x (-.f32 1 x)) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 3))
(hypot.f32 (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 1))
(exp.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 1))
(fma.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(fma.f32 1 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(fma.f32 1 (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) -1) 1)
(fma.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1 0)
(fma.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 1 -1)
(fma.f32 (cbrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) 0)
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (cbrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 0)
(fma.f32 (cbrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) (pow.f32 (cbrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) 2) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) 2) (cbrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) 2) (.f32 (cbrt.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) 1) -1)
(fma.f32 (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 0)
(fma.f32 (sqrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) (sqrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) -1)
(fma.f32 (sqrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) (.f32 (sqrt.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) 1) -1)
(fma.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 3)) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2))) 0)
(fma.f32 (+.f32 1 (pow.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 3)) (/.f32 1 (fma.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) -1) 1)) -1)
(fma.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (/.f32 1 (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2)) 0)
(fma.f32 (-.f32 1 (pow.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2)) (/.f32 1 (-.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1)) 2) (cbrt.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1)) 1)
(fma.f32 (sqrt.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1)) (sqrt.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1)) 1)
(fma.f32 (+.f32 (sqrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) 1) (expm1.f32 (.f32 1/2 (log1p.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))) 0)
(fma.f32 (+.f32 (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 1) (-.f32 (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 1) 1)

Outputs
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 2 x (*.f32 2/3 (pow.f32 x 3)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2 x))
(+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(fma.f32 2 x (fma.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)))))
(fma.f32 2/7 (pow.f32 x 7) (fma.f32 2 x (fma.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 (log.f32 -1) (/.f32 2 x))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (/.f32 2/3 (pow.f32 x 3)))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2 x) (/.f32 2/3 (pow.f32 x 3))))
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(/.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) (+.f32 2 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2))))
(/.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (+.f32 1 (.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) (+.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))
(/.f32 (neg.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))))) (neg.f32 (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2)))
(.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (/.f32 1 (+.f32 2 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))))
(/.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (+.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(/.f32 (+.f32 1 (pow.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1) 3)) (+.f32 1 (-.f32 (pow.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1) 2) (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) -1))))
(/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 3)) (-.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2)) (+.f32 -1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(/.f32 (+.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 3)) (+.f32 (pow.f32 (+.f32 -1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (-.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(/.f32 (-.f32 1 (pow.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1) 2)) (-.f32 1 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1)))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2)) (-.f32 1 (+.f32 -1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))))
(/.f32 (-.f32 1 (pow.f32 (+.f32 -1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2)) (-.f32 2 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))
(pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2) 1/2)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 3)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 2)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 3) 1/3)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(pow.f32 (/.f32 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2)) (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 3))) -1)
(.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (+.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))
(/.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) (+.f32 2 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2))))
(/.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (+.f32 1 (.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) (+.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))
(pow.f32 (/.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2) (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))) -1)
(.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (/.f32 1 (+.f32 2 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))))
(/.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (+.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(log.f32 (fma.f32 2 (/.f32 x (-.f32 1 x)) 1))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 3))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(hypot.f32 (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) (sqrt.f32 (-.f32 (pow.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2) (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))))
(hypot.f32 (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) (sqrt.f32 (.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) (+.f32 -1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 1))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 1))
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(fma.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(fma.f32 1 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) -1)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(fma.f32 1 (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) -1) 1)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(fma.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 1 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(fma.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 1 -1)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(fma.f32 (cbrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(fma.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (cbrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(fma.f32 (cbrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) (pow.f32 (cbrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) 2) -1)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) 2) (cbrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) -1)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) 2) (.f32 (cbrt.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) 1) -1)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(fma.f32 (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 0)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(fma.f32 (sqrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) (sqrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) -1)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(fma.f32 (sqrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) (.f32 (sqrt.f32 (+.f32 1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))))) 1) -1)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(fma.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 3)) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2))) 0)
(.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2) (+.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))
(/.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) (+.f32 2 (pow.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 2))))
(/.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (+.f32 1 (.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) (+.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))))
(fma.f32 (+.f32 1 (pow.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 3)) (/.f32 1 (fma.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) -1) 1)) -1)
(fma.f32 (+.f32 1 (pow.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 3)) (/.f32 1 (fma.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) (+.f32 -1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 1)) -1)
(+.f32 -1 (/.f32 (+.f32 1 (pow.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 3)) (fma.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) (+.f32 -1 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))) 1)))
(fma.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (/.f32 1 (+.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x)))) 2)) 0)
(.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (/.f32 1 (+.f32 2 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))))
(/.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (+.f32 2 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))
(fma.f32 (-.f32 1 (pow.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2)) (/.f32 1 (-.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) -1)
(+.f32 -1 (/.f32 (-.f32 1 (pow.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) 2)) (-.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1)) 2) (cbrt.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1)) 1)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(fma.f32 (sqrt.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1)) (sqrt.f32 (+.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))) -1)) 1)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))
(fma.f32 (+.f32 (sqrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x)))))) 1) (expm1.f32 (.f32 1/2 (log1p.f32 (log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))))) 0)
(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))))) (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 1/2)))
(fma.f32 (+.f32 (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 1) (-.f32 (sqrt.f32 (log1p.f32 (.f32 2 (/.f32 x (-.f32 1 x))))) 1) 1)
(log1p.f32 (*.f32 2 (/.f32 x (-.f32 1 x))))

localize57.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))
✓	0.0b	(/.f32 (*.f32 x -2) (+.f32 x -1))
✓	0.1b	(cbrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))
✓	0.7b	(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 3)

Compiler

Compiled 60 to 47 computations (21.7% saved)

series9.0ms (0.2%)

Counts

4 → 40

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	x	@	inf	(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 3)
2.0ms	x	@	-inf	(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 3)
1.0ms	x	@	0	(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1)))) 3)
1.0ms	x	@	inf	(cbrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))
0.0ms	x	@	-inf	(cbrt.f32 (log1p.f32 (/.f32 (*.f32 x -2) (+.f32 x -1))))

rewrite74.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

479×	`log-prod_binary32`
380×	`prod-diff_binary32`
362×	`exp-prod_binary32`
276×	`pow-prod-down_binary32`
258×	`pow2_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	48
1	239	48
2	2753	48

Stop Event

1×	node limit

Counts

4 → 169

Calls

Call 1

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

Outputs
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(log.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) (sqrt.f32 (log.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (.f32 x -2) (+.f32 1 (neg.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 -2) (/.f32 x (+.f32 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (.f32 x -2) 3) (pow.f32 (+.f32 x -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 -1/2 (/.f32 (+.f32 x -1) x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1)) 2) (cbrt.f32 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1)) (sqrt.f32 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1)) 2)) (log.f32 (cbrt.f32 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1))) (log.f32 (sqrt.f32 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)) 2) (/.f32 x (.f32 (+.f32 x -1) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)) 2))) (log.f32 (-.f32 1 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 2) (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) 2) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) (sqrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 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pow.f32 (exp.f32 3) (log.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 2) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) 9)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) 2)) (cbrt.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))) (sqrt.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 2/3 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 1/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) 3/2) 2))))))

simplify98.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

306×	`fma-def_binary32`
267×	`sqr-pow_binary32`
264×	`fma-neg_binary32`
247×	`log-prod_binary32`
226×	`associate-l_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	507	4506
1	1383	4235
2	4540	4177

Stop Event

1×	node limit

Counts

209 → 274

Calls

Call 1

Inputs
(*.f32 (pow.f32 1 1/3) (log.f32 -1))
(+.f32 (.f32 4/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9) (/.f32 1 x))) (+.f32 (.f32 (pow.f32 1 1/3) (log.f32 -1)) (.f32 2/3 (.f32 (pow.f32 (*.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9) (/.f32 1 x)))))
(+.f32 (.f32 8/9 (.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/9) (/.f32 1 (pow.f32 x 2)))) (+.f32 (.f32 (pow.f32 (.f32 1 (log.f32 -1)) 1/3) (/.f32 (+.f32 (.f32 4/9 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9)) (.f32 -8/9 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9))) (pow.f32 x 2))) (+.f32 (.f32 4/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9) (/.f32 1 x))) (+.f32 (.f32 (pow.f32 1 1/3) (log.f32 -1)) (+.f32 (.f32 2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9) (/.f32 1 x))) (.f32 -4/9 (*.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/9) (/.f32 1 (pow.f32 x 2)))))))))
(+.f32 (.f32 -16/27 (.f32 (pow.f32 (pow.f32 1 4) 1/9) (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2)) 1/3) (/.f32 1 (pow.f32 x 3))))) (+.f32 (.f32 1/3 (.f32 (pow.f32 1 1/3) (/.f32 (-.f32 2/3 (+.f32 (.f32 -16/9 (.f32 (pow.f32 (pow.f32 1 4) 1/9) (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2)) 1/3))) (.f32 8/27 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2)) 1/3)))) (pow.f32 x 3)))) (+.f32 (.f32 4/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9) (/.f32 1 x))) (+.f32 (.f32 -4/9 (.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/9) (/.f32 1 (pow.f32 x 2)))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 -16/27 (.f32 (pow.f32 1 1/9) (/.f32 1 (log.f32 -1)))) (.f32 2/3 (.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/3) (-.f32 2/3 (+.f32 (.f32 -16/9 (.f32 (pow.f32 (pow.f32 1 4) 1/9) (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2)) 1/3))) (.f32 8/27 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2)) 1/3))))))) (pow.f32 x 3)) (pow.f32 (.f32 1 (log.f32 -1)) 1/3)) (+.f32 (.f32 8/9 (.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/9) (/.f32 1 (pow.f32 x 2)))) (+.f32 (.f32 (pow.f32 (.f32 1 (log.f32 -1)) 1/3) (/.f32 (+.f32 (.f32 4/9 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9)) (.f32 -8/9 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9))) (pow.f32 x 2))) (+.f32 (.f32 2/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2)) 1/9) (/.f32 (+.f32 (.f32 4/9 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9)) (.f32 -8/9 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9))) (pow.f32 x 3)))) (+.f32 (.f32 (pow.f32 1 1/3) (log.f32 -1)) (.f32 2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9) (/.f32 1 x))))))))))))
(*.f32 (pow.f32 1 1/3) (log.f32 -1))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -4/3 (pow.f32 (.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9)) (.f32 -2/3 (pow.f32 (.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9))) x)) (.f32 (pow.f32 1 1/3) (log.f32 -1)))
(+.f32 (.f32 8/9 (.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/9) (/.f32 1 (pow.f32 x 2)))) (+.f32 (.f32 (pow.f32 (.f32 1 (log.f32 -1)) 1/3) (/.f32 (+.f32 (.f32 4/9 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9)) (.f32 -8/9 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9))) (pow.f32 x 2))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -4/3 (pow.f32 (.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9)) (.f32 -2/3 (pow.f32 (.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9))) x)) (+.f32 (.f32 (pow.f32 1 1/3) (log.f32 -1)) (.f32 -4/9 (.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/9) (/.f32 1 (pow.f32 x 2))))))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/3 (.f32 (pow.f32 1 1/3) (+.f32 2/3 (+.f32 (.f32 16/9 (.f32 (pow.f32 (pow.f32 1 4) 1/9) (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2)) 1/3))) (.f32 -8/27 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2)) 1/3)))))) (+.f32 (.f32 16/27 (.f32 (pow.f32 (pow.f32 1 4) 1/9) (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2)) 1/3))) (+.f32 (.f32 (+.f32 (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/3) (+.f32 2/3 (+.f32 (.f32 16/9 (.f32 (pow.f32 (pow.f32 1 4) 1/9) (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2)) 1/3))) (.f32 -8/27 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2)) 1/3)))))) (.f32 16/27 (.f32 (pow.f32 1 1/9) (/.f32 1 (log.f32 -1))))) (pow.f32 (.f32 1 (log.f32 -1)) 1/3)) (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2)) 1/9) (+.f32 (.f32 4/9 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9)) (.f32 -8/9 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9)))))))) (pow.f32 x 3))) (+.f32 (.f32 8/9 (.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/9) (/.f32 1 (pow.f32 x 2)))) (+.f32 (.f32 (pow.f32 (.f32 1 (log.f32 -1)) 1/3) (/.f32 (+.f32 (.f32 4/9 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9)) (.f32 -8/9 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9))) (pow.f32 x 2))) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -4/3 (pow.f32 (.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9)) (.f32 -2/3 (pow.f32 (.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9))) x)) (+.f32 (.f32 (pow.f32 1 1/3) (log.f32 -1)) (.f32 -4/9 (*.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/9) (/.f32 1 (pow.f32 x 2)))))))))
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(*.f32 (/.f32 x (pow.f32 (cbrt.f32 (+.f32 x -1)) 2)) (/.f32 -2 (cbrt.f32 (+.f32 x -1))))
(*.f32 (/.f32 -2 (pow.f32 (cbrt.f32 (+.f32 x -1)) 2)) (/.f32 x (cbrt.f32 (+.f32 x -1))))
(.f32 (pow.f32 (cbrt.f32 (+.f32 x -1)) -2) (/.f32 (.f32 x -2) (cbrt.f32 (+.f32 x -1))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 x -2)) 2) (pow.f32 (cbrt.f32 (+.f32 x -1)) 2)) (cbrt.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))
(.f32 (/.f32 (sqrt.f32 (.f32 x -2)) (pow.f32 (cbrt.f32 (+.f32 x -1)) 2)) (/.f32 (sqrt.f32 (*.f32 x -2)) (cbrt.f32 (+.f32 x -1))))
(*.f32 (/.f32 x (sqrt.f32 (+.f32 x -1))) (/.f32 -2 (sqrt.f32 (+.f32 x -1))))
(*.f32 (/.f32 -2 (sqrt.f32 (+.f32 x -1))) (/.f32 x (sqrt.f32 (+.f32 x -1))))
(.f32 (pow.f32 (+.f32 x -1) -1/2) (/.f32 (.f32 x -2) (sqrt.f32 (+.f32 x -1))))
(.f32 (/.f32 (pow.f32 (cbrt.f32 (.f32 x -2)) 2) (sqrt.f32 (+.f32 x -1))) (/.f32 (cbrt.f32 (*.f32 x -2)) (sqrt.f32 (+.f32 x -1))))
(.f32 (/.f32 (.f32 x -2) (+.f32 -1 (pow.f32 x 3))) (-.f32 (fma.f32 x x 1) (*.f32 x -1)))
(.f32 (/.f32 (.f32 x -2) (fma.f32 x x -1)) (+.f32 x 1))
(pow.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)) 1)
(pow.f32 (pow.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)) 2) 1/2)
(pow.f32 (pow.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)) 3) 1/3)
(pow.f32 (cbrt.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 3)
(pow.f32 (sqrt.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 2)
(pow.f32 (*.f32 -1/2 (/.f32 (+.f32 x -1) x)) -1)
(pow.f32 (exp.f32 1) (log.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))
(pow.f32 (/.f32 (pow.f32 (*.f32 x -2) 3) (pow.f32 (+.f32 x -1) 3)) 1/3)
(pow.f32 (/.f32 (*.f32 -1/2 (/.f32 (+.f32 x -1) x)) 1) -1)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 2)) (cbrt.f32 (log.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) (sqrt.f32 (log.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))
(neg.f32 (/.f32 (*.f32 x -2) (+.f32 1 (neg.f32 x))))
(sqrt.f32 (pow.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)) 2))
(log.f32 (pow.f32 (exp.f32 -2) (/.f32 x (+.f32 x -1))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))))
(cbrt.f32 (pow.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)) 3))
(cbrt.f32 (/.f32 (pow.f32 (*.f32 x -2) 3) (pow.f32 (+.f32 x -1) 3)))
(expm1.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))
(log1p.f32 (expm1.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))
(exp.f32 (log.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))
(exp.f32 (.f32 (log.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))) 1))
(exp.f32 (.f32 (.f32 3 (log.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))) 1/3))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 3))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 2))
(exp.f32 (.f32 (log.f32 (.f32 -1/2 (/.f32 (+.f32 x -1) x))) -1))
(exp.f32 (.f32 (.f32 (log.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 1) 1))
(fma.f32 1 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1) -1)
(fma.f32 (pow.f32 (cbrt.f32 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1)) 2) (cbrt.f32 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1)) -1)
(fma.f32 (sqrt.f32 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1)) (sqrt.f32 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1)) -1)
(+.f32 0 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1)) 2)) (log.f32 (cbrt.f32 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1))))
(+.f32 (log.f32 (sqrt.f32 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1))) (log.f32 (sqrt.f32 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1))))
(-.f32 (log1p.f32 (pow.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)) 2) (/.f32 x (*.f32 (+.f32 x -1) -1/2))))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))) 1)
(-.f32 (log.f32 (-.f32 1 (pow.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)) 2))) (log.f32 (-.f32 1 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))
(.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))) 1)
(.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))) 2))
(.f32 1 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 2) (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) 2) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))) 2)))
(.f32 (sqrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) (sqrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))))
(.f32 (pow.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))) 1/6) (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 5/6))
(.f32 (pow.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))) 5/6) (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 1/6))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 2) 1) (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))
(.f32 (pow.f32 (.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))) 2) (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))))
(pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 1)
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))) 3)
(pow.f32 (exp.f32 3) (log.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))))
(pow.f32 (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 3) 1/3)
(pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))) 2) 3/2)
(pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))) 9)
(pow.f32 (sqrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))) 2)
(pow.f32 (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 1/6) 6)
(pow.f32 (exp.f32 1) (log.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) 2)) (cbrt.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))) (sqrt.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))))
(sqrt.f32 (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 2))
(log.f32 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))))
(exp.f32 (log.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 1))
(exp.f32 (.f32 (.f32 3 (log.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))) 1/3))
(exp.f32 (.f32 (.f32 2/3 (log.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))) 3/2))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) 2))
(exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))) 1) 1))
(exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))) 1/3) 3))
(exp.f32 (.f32 (.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))) 1) 3))
(exp.f32 (.f32 (.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))) 3/2) 2))

Outputs
(*.f32 (pow.f32 1 1/3) (log.f32 -1))
(log.f32 -1)
(+.f32 (.f32 4/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9) (/.f32 1 x))) (+.f32 (.f32 (pow.f32 1 1/3) (log.f32 -1)) (.f32 2/3 (.f32 (pow.f32 (*.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9) (/.f32 1 x)))))
(fma.f32 4/3 (.f32 (.f32 (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18) (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18)) (/.f32 1 x)) (+.f32 (log.f32 -1) (.f32 (.f32 (*.f32 (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18) (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18)) (/.f32 1 x)) 2/3)))
(fma.f32 4/3 (/.f32 (.f32 (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18) (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18)) x) (fma.f32 (/.f32 (.f32 (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18) (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18)) x) 2/3 (log.f32 -1)))
(+.f32 (log.f32 -1) (.f32 (/.f32 (.f32 (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18) (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18)) x) 2))
(+.f32 (.f32 8/9 (.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/9) (/.f32 1 (pow.f32 x 2)))) (+.f32 (.f32 (pow.f32 (.f32 1 (log.f32 -1)) 1/3) (/.f32 (+.f32 (.f32 4/9 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9)) (.f32 -8/9 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9))) (pow.f32 x 2))) (+.f32 (.f32 4/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9) (/.f32 1 x))) (+.f32 (.f32 (pow.f32 1 1/3) (log.f32 -1)) (+.f32 (.f32 2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9) (/.f32 1 x))) (.f32 -4/9 (*.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/9) (/.f32 1 (pow.f32 x 2)))))))))
(fma.f32 8/9 (.f32 (.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/18) (pow.f32 (/.f32 1 (log.f32 -1)) 1/18)) (/.f32 1 (.f32 x x))) (fma.f32 (cbrt.f32 (log.f32 -1)) (/.f32 (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/18)) -4/9) (.f32 x x)) (fma.f32 4/3 (.f32 (.f32 (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18) (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18)) (/.f32 1 x)) (+.f32 (log.f32 -1) (fma.f32 2/3 (.f32 (.f32 (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18) (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18)) (/.f32 1 x)) (.f32 (.f32 (.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/18) (pow.f32 (/.f32 1 (log.f32 -1)) 1/18)) (/.f32 1 (.f32 x x))) -4/9))))))
(fma.f32 8/9 (/.f32 (.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/18) (pow.f32 (/.f32 1 (log.f32 -1)) 1/18)) (.f32 x x)) (fma.f32 (cbrt.f32 (log.f32 -1)) (.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/18)) x) (/.f32 -4/9 x)) (fma.f32 4/3 (/.f32 (.f32 (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18) (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18)) x) (+.f32 (/.f32 (.f32 (.f32 (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18) (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18)) 2/3) x) (fma.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/18) (pow.f32 (/.f32 1 (log.f32 -1)) 1/18)) (*.f32 x x)) -4/9 (log.f32 -1))))))
(fma.f32 8/9 (/.f32 (.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/18) (pow.f32 (/.f32 1 (log.f32 -1)) 1/18)) (.f32 x x)) (fma.f32 (cbrt.f32 (log.f32 -1)) (/.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/18)) (/.f32 (.f32 x x) -4/9)) (+.f32 (+.f32 (log.f32 -1) (.f32 (/.f32 (.f32 (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18) (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18)) x) 2)) (.f32 (/.f32 (.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/18) (pow.f32 (/.f32 1 (log.f32 -1)) 1/18)) (*.f32 x x)) -4/9))))
(+.f32 (.f32 -16/27 (.f32 (pow.f32 (pow.f32 1 4) 1/9) (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2)) 1/3) (/.f32 1 (pow.f32 x 3))))) (+.f32 (.f32 1/3 (.f32 (pow.f32 1 1/3) (/.f32 (-.f32 2/3 (+.f32 (.f32 -16/9 (.f32 (pow.f32 (pow.f32 1 4) 1/9) (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2)) 1/3))) (.f32 8/27 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2)) 1/3)))) (pow.f32 x 3)))) (+.f32 (.f32 4/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9) (/.f32 1 x))) (+.f32 (.f32 -4/9 (.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/9) (/.f32 1 (pow.f32 x 2)))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 -16/27 (.f32 (pow.f32 1 1/9) (/.f32 1 (log.f32 -1)))) (.f32 2/3 (.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/3) (-.f32 2/3 (+.f32 (.f32 -16/9 (.f32 (pow.f32 (pow.f32 1 4) 1/9) (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2)) 1/3))) (.f32 8/27 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2)) 1/3))))))) (pow.f32 x 3)) (pow.f32 (.f32 1 (log.f32 -1)) 1/3)) (+.f32 (.f32 8/9 (.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/9) (/.f32 1 (pow.f32 x 2)))) (+.f32 (.f32 (pow.f32 (.f32 1 (log.f32 -1)) 1/3) (/.f32 (+.f32 (.f32 4/9 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9)) (.f32 -8/9 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9))) (pow.f32 x 2))) (+.f32 (.f32 2/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2)) 1/9) (/.f32 (+.f32 (.f32 4/9 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9)) (.f32 -8/9 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9))) (pow.f32 x 3)))) (+.f32 (.f32 (pow.f32 1 1/3) (log.f32 -1)) (.f32 2/3 (.f32 (pow.f32 (.f32 1 (pow.f32 (log.f32 -1) 4)) 1/9) (/.f32 1 x))))))))))))
(+.f32 (+.f32 (.f32 -16/27 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2))) (/.f32 1 (pow.f32 x 3)))) (.f32 1/3 (/.f32 (-.f32 (-.f32 2/3 (.f32 -16/9 (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2))))) (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2))) 8/27)) (pow.f32 x 3)))) (fma.f32 4/3 (.f32 (.f32 (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18) (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18)) (/.f32 1 x)) (fma.f32 -4/9 (.f32 (.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/18) (pow.f32 (/.f32 1 (log.f32 -1)) 1/18)) (/.f32 1 (.f32 x x))) (fma.f32 (/.f32 (fma.f32 -16/27 (/.f32 1 (log.f32 -1)) (.f32 2/3 (.f32 (-.f32 (-.f32 2/3 (.f32 -16/9 (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2))))) (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2))) 8/27)) (cbrt.f32 (/.f32 1 (log.f32 -1)))))) (pow.f32 x 3)) (cbrt.f32 (log.f32 -1)) (fma.f32 8/9 (.f32 (.f32 (pow.f32 (/.f32 1 (log.f32 -1)) 1/18) (pow.f32 (/.f32 1 (log.f32 -1)) 1/18)) (/.f32 1 (.f32 x x))) (fma.f32 (cbrt.f32 (log.f32 -1)) (/.f32 (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/18)) -4/9) (.f32 x x)) (fma.f32 2/3 (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 2)) 1/18)) (/.f32 (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (log.f32 -1) 4)) 1/18)) -4/9) (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 (.f32 (*.f32 (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18) (pow.f32 (pow.f32 (log.f32 -1) 4) 1/18)) (/.f32 1 x)) 2/3)))))))))
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(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 2) (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) 2) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))) 2)))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(.f32 (sqrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) (sqrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(.f32 (pow.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))) 1/6) (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 5/6))
(.f32 (pow.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 -1 x) -1/2))) 1/6) (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))) 5/6))
(.f32 (pow.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 -1 x)))) 1/6) (pow.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))) 5/6))
(.f32 (pow.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))) 5/6) (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 1/6))
(.f32 (pow.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 -1 x) -1/2))) 1/6) (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))) 5/6))
(.f32 (pow.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 -1 x)))) 1/6) (pow.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))) 5/6))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 2) 1) (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(.f32 (pow.f32 (.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))) 2) (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(sqrt.f32 (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 2))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(log.f32 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
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(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(expm1.f32 (log1p.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(exp.f32 (log.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
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(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
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(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
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(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
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(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
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(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
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(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
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(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
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(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(+.f32 0 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))))
(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))))))
(+.f32 (.f32 2 (log.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 -1 x) -1/2)))))))) (log.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))))))
(.f32 3 (log.f32 (cbrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 -1 x)))))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))))) (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))))))
(.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 -1 x) -1/2))))))))
(.f32 2 (log.f32 (sqrt.f32 (exp.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 -1 x)))))))))
(-.f32 (exp.f32 (log1p.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))))) 1)
(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
(.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 1)
(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
(.f32 1 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))
(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
(.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))) 2))
(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
(.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) 2) (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))))
(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
(.f32 (pow.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))) 1/6) (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 1/6))
(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
(pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 1/3)
(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))) 1)
(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
(pow.f32 (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 2) 1/6)
(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
(pow.f32 (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 3) 1/9)
(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
(pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))) 2) 1/2)
(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
(pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))) 3)
(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
(pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))) 2) 3/2)
(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
(pow.f32 (sqrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))) 2/3)
(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
(pow.f32 (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 1/6) 2)
(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
(pow.f32 (exp.f32 1) (log.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))))
(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
(pow.f32 (exp.f32 1/3) (log.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))))
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(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
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(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 -1 x))))))) 2)) (cbrt.f32 (log.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 -1 x))))))))
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(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 -1 x) -1/2))))))) (sqrt.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 -1 x) -1/2)))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 -1 x)))))))) (sqrt.f32 (log.f32 (cbrt.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 -1 x))))))))
(sqrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))) 2))
(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
(log.f32 (exp.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))))
(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
(log.f32 (+.f32 1 (expm1.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))))))
(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
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(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
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(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
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(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 1/3))
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(cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))
(cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))
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(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(.f32 (sqrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) (sqrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(.f32 (pow.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))) 1/6) (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 5/6))
(.f32 (pow.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 -1 x) -1/2))) 1/6) (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))) 5/6))
(.f32 (pow.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 -1 x)))) 1/6) (pow.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))) 5/6))
(.f32 (pow.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))) 5/6) (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 1/6))
(.f32 (pow.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 -1 x) -1/2))) 1/6) (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))) 5/6))
(.f32 (pow.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 -1 x)))) 1/6) (pow.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))) 5/6))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 2) 1) (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(.f32 (pow.f32 (.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))) 2) (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 1)
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(pow.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))) 3)
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(pow.f32 (exp.f32 3) (log.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(pow.f32 (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 2) 1/2)
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(pow.f32 (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 3) 1/3)
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(pow.f32 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))) 2) 3/2)
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))) 9)
(pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2))))) 9)
(pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x)))))) 9)
(pow.f32 (sqrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))) 2)
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(pow.f32 (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 1/6) 6)
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(pow.f32 (exp.f32 1) (log.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) 2)) (cbrt.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 -1 x) -1/2))))) 2)) (cbrt.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 -1 x) -1/2))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 -1 x)))))) 2)) (cbrt.f32 (log.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 -1 x)))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))))) (sqrt.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 -1 x) -1/2)))))) (sqrt.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 -1 x) -1/2))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 -1 x))))))) (sqrt.f32 (log.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 -1 x)))))))
(sqrt.f32 (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 2))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(log.f32 (fma.f32 -2 (/.f32 x (+.f32 x -1)) 1))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(cbrt.f32 (pow.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))) 3))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(expm1.f32 (log1p.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(exp.f32 (log.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2)))) 1))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(exp.f32 (.f32 (.f32 3 (log.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))) 1/3))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(exp.f32 (.f32 (.f32 2/3 (log.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))) 3/2))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (log1p.f32 (/.f32 x (.f32 (+.f32 x -1) -1/2))))) 2))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))) 1) 1))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(exp.f32 (.f32 (.f32 (log.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2)))) 1/3) 3))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(exp.f32 (.f32 (.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))) 1) 3))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))
(exp.f32 (.f32 (.f32 (log.f32 (cbrt.f32 (log1p.f32 (/.f32 x (*.f32 (+.f32 x -1) -1/2))))) 3/2) 2))
(log1p.f32 (/.f32 x (*.f32 (+.f32 -1 x) -1/2)))
(log1p.f32 (*.f32 x (/.f32 -2 (+.f32 -1 x))))

eval438.0ms (8.6%)

Compiler: Compiled 13389 to 11674 computations (12.8% saved)

prune165.0ms (3.2%)

Pruning

9 alts after pruning (0 fresh and 9 done)

	Pruned	Kept	Total
New	521	0	521
Fresh	0	0	0
Picked	0	1	1
Done	0	8	8
Total	521	9	530

Error

Counts

530 → 9

Alt Table

Click to see full alt table

Status	Error	Program
✓	0.7b	(.f32 1/2 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1)))) 3))
✓	24.4b	(.f32 1/2 (-.f32 (+.f32 1 (log1p.f32 (.f32 (/.f32 2 (-.f32 1 x)) x))) 1))
✓	0.9b	(.f32 1/2 (+.f32 (.f32 2 x) (*.f32 2/3 (pow.f32 x 3))))
✓	1.6b	(*.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 2 (/.f32 (-.f32 1 x) x))))
✓	0.2b	(.f32 1/2 (log1p.f32 (.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2)))
✓	0.1b	(.f32 1/2 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))))
✓	24.4b	(.f32 1/2 (log.f32 (+.f32 (.f32 x (/.f32 -2 (+.f32 x -1))) 1)))

Compiler

Compiled 108 to 89 computations (17.6% saved)

regimes66.0ms (1.3%)

Counts

14 → 1

Calls

Call 1

Inputs
(*.f32 1/2 (+.f32 x x))
(*.f32 1/2 (log1p.f32 -2))
(.f32 1/2 (log1p.f32 (.f32 x 2)))
(*.f32 1/2 (log1p.f32 (-.f32 -2 (/.f32 2 x))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 1 x))))
(.f32 1/2 (log1p.f32 (.f32 2 (+.f32 (*.f32 x x) x))))
(.f32 1/2 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))))
(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))))
(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
(.f32 1/2 (+.f32 (.f32 2 x) (*.f32 2/3 (pow.f32 x 3))))
(.f32 1/2 (log.f32 (+.f32 (.f32 x (/.f32 -2 (+.f32 x -1))) 1)))
(.f32 1/2 (log1p.f32 (.f32 (/.f32 (+.f32 x 1) (-.f32 (/.f32 1 x) x)) 2)))
(.f32 1/2 (-.f32 (+.f32 1 (log1p.f32 (.f32 (/.f32 2 (-.f32 1 x)) x))) 1))
(.f32 1/2 (pow.f32 (cbrt.f32 (log1p.f32 (/.f32 (.f32 x -2) (+.f32 x -1)))) 3))

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

Calls

4 calls:

35.0ms	x
9.0ms	(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))
9.0ms	(/.f32 (*.f32 2 x) (-.f32 1 x))
8.0ms	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))

Results

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

Compiler

Compiled 166 to 134 computations (19.3% saved)

regimes7.0ms (0.1%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
0.1b	1	`x`

Compiler

Compiled 64 to 51 computations (20.3% saved)

regimes7.0ms (0.1%)

Accuracy

Total -30.4b remaining (-1901.2%)

Threshold costs -30.4b (-1901.2%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
1.6b	1	`x`

Compiler

Compiled 44 to 35 computations (20.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

6×	`*-commutative_binary32`
3×	`+-commutative_binary32`
2×	`sub-neg_binary32`
1×	`neg-sub0_binary32`
1×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	37
1	29	37
2	32	37
3	34	37
4	35	37

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

Compiler

Compiled 28 to 22 computations (21.4% saved)

soundness0.0ms (0%)

end22.0ms (0.4%)

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

Details

analyze6.0ms (0.1%)

sample1.2s (24.4%)

preprocess52.0ms (1%)

simplify78.0ms (1.5%)

eval2.0ms (0%)

prune3.0ms (0.1%)

localize45.0ms (0.9%)

series5.0ms (0.1%)

rewrite56.0ms (1.1%)

simplify49.0ms (1%)

localize37.0ms (0.7%)

series3.0ms (0.1%)

rewrite60.0ms (1.2%)

simplify45.0ms (0.9%)

localize61.0ms (1.2%)

series2.0ms (0%)

rewrite54.0ms (1.1%)

simplify62.0ms (1.2%)

eval158.0ms (3.1%)

prune89.0ms (1.7%)

localize52.0ms (1%)

series3.0ms (0.1%)

rewrite83.0ms (1.6%)

simplify111.0ms (2.2%)

localize12.0ms (0.2%)

localize35.0ms (0.7%)

series2.0ms (0%)

rewrite48.0ms (0.9%)

simplify46.0ms (0.9%)

localize46.0ms (0.9%)

series3.0ms (0.1%)

rewrite55.0ms (1.1%)

simplify48.0ms (0.9%)

localize59.0ms (1.2%)

series2.0ms (0%)

rewrite74.0ms (1.5%)

simplify77.0ms (1.5%)

eval329.0ms (6.4%)

prune474.0ms (9.3%)

localize12.0ms (0.2%)

localize88.0ms (1.7%)

series2.0ms (0%)

rewrite38.0ms (0.8%)

simplify43.0ms (0.8%)

localize54.0ms (1.1%)

series3.0ms (0.1%)

rewrite104.0ms (2%)

simplify139.0ms (2.7%)

localize57.0ms (1.1%)

series9.0ms (0.2%)

rewrite74.0ms (1.4%)

simplify98.0ms (1.9%)

eval438.0ms (8.6%)

prune165.0ms (3.2%)

regimes66.0ms (1.3%)

regimes7.0ms (0.1%)

regimes7.0ms (0.1%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end22.0ms (0.4%)

Profiling