Details

analyze8.0ms (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)

sample1.0s (16.8%)

Results

1.0s

8256×

body

256

valid

Bogosity

preprocess13.0ms (0.2%)

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)

simplify77.0ms (1.2%)

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%)

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))))
▶	0.3b	(*.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)

localize35.0ms (0.6%)

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)

series4.0ms (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))

rewrite81.0ms (1.3%)

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))))))))))

simplify101.0ms (1.6%)

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)))

localize66.0ms (1.1%)

Local error

Found 3 expressions with local error:

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

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

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 (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))))))))))

((#(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)))))))

simplify307.0ms (4.9%)

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	1957	1079

Stop Event

1×	node limit

Counts

110 → 130

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 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 (+.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 (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))))))
(+.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)))

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 1))))
(+.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 (.f32 x (+.f32 x (fma.f32 x x 1))) (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 x) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3)))))
(+.f32 -2 (+.f32 (+.f32 (/.f32 -2 x) (/.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))
(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 x) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3)))))
(+.f32 -2 (+.f32 (+.f32 (/.f32 -2 x) (/.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)))))
(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 (log.f32 -1) (+.f32 (/.f32 2 x) (/.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 (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 (log.f32 -1) (+.f32 (/.f32 2 x) (/.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 (log.f32 -1) (+.f32 (+.f32 (/.f32 2 x) (/.f32 2/5 (pow.f32 x 5))) (/.f32 2/3 (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 (+.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 (log1p.f32 (*.f32 x (/.f32 2 (-.f32 1 x))))) 1)
(+.f32 1 (-.f32 (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 1 (-.f32 (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 1 (-.f32 (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 1 (-.f32 (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 1 (-.f32 (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 1 (-.f32 (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 1 (-.f32 (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 1 (-.f32 (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 1 (-.f32 (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 1 (-.f32 (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 1 (-.f32 (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 1 (-.f32 (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 1 (-.f32 (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 1 (-.f32 (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 1 (-.f32 (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 (/.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 (*.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (cbrt.f32 (/.f32 (-.f32 1 x) x))) (pow.f32 (cbrt.f32 x) 2))
(/.f32 (*.f32 (pow.f32 (cbrt.f32 (-.f32 1 x)) 2) (cbrt.f32 (+.f32 (/.f32 1 x) -1))) (pow.f32 (cbrt.f32 x) 2))
(*.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)

localize63.0ms (1%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 27 computations (25% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite53.0ms (0.9%)

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))))))))

simplify44.0ms (0.7%)

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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eval135.0ms (2.2%)

Compiler: Compiled 5756 to 4643 computations (19.3% saved)

prune109.0ms (1.7%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	380	8	388
Fresh	0	0	0
Picked	0	1	1
Done	1	1	2
Total	381	10	391

Error

0.0b

Counts

391 → 10

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.7b	(.f32 1/2 (+.f32 1 (-.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))) 1)))
▶	0.1b	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 (fma.f32 x x x)) (-.f32 1 (*.f32 x x)))))
✓	0.1b	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
✓	0.3b	(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))))
	3.1b	(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 1 x))))
	0.3b	(.f32 1/2 (log1p.f32 (/.f32 2 (.f32 (/.f32 1 x) (-.f32 1 x)))))
▶	31.4b	(*.f32 1/2 (log1p.f32 (-.f32 -2 (/.f32 2 x))))
▶	1.5b	(.f32 1/2 (log1p.f32 (.f32 x (+.f32 (*.f32 2 x) 2))))
	2.9b	(.f32 1/2 (log1p.f32 (.f32 x 2)))
▶	32.0b	(*.f32 1/2 (log1p.f32 -2))

Compiler

Compiled 192 to 160 computations (16.7% saved)

localize101.0ms (1.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 63 to 29 computations (54% saved)

series4.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite65.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

599×	`prod-diff_binary32`
506×	`log-prod_binary32`
281×	`pow-prod-down_binary32`
260×	`pow2_binary32`
180×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	47
1	212	47
2	2783	47

Stop Event

1×	node limit

Counts

4 → 159

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))) (log.f32 (sqrt.f32 (exp.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 2 (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) 1)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (/.f32 1 (/.f32 (fma.f32 x (neg.f32 x) 1) (fma.f32 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 2 (.f32 (fma.f32 x x x) (/.f32 1 (fma.f32 x (neg.f32 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 x x x) (.f32 2 (/.f32 1 (fma.f32 x (neg.f32 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 2 (fma.f32 x x x)) (/.f32 1 (fma.f32 x (neg.f32 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 4 (pow.f32 (fma.f32 x x x) 2))) (.f32 (cbrt.f32 (.f32 2 (fma.f32 x x x))) (/.f32 1 (fma.f32 x (neg.f32 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))) (cbrt.f32 (pow.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)) 2)) (cbrt.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 2 (fma.f32 x x x))) (.f32 (sqrt.f32 (.f32 2 (fma.f32 x x x))) (/.f32 1 (fma.f32 x (neg.f32 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))) (sqrt.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (fma.f32 x x x) -2) (/.f32 1 (neg.f32 (fma.f32 x (neg.f32 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (fma.f32 x (neg.f32 x) 1)) (.f32 2 (fma.f32 x x x)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 x x x) 1) (/.f32 2 (fma.f32 x (neg.f32 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (.f32 4 (pow.f32 (fma.f32 x x x) 2))) 1) (/.f32 (cbrt.f32 (.f32 2 (fma.f32 x x x))) (fma.f32 x (neg.f32 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (.f32 2 (fma.f32 x x x))) 1) (/.f32 (sqrt.f32 (.f32 2 (fma.f32 x x x))) (fma.f32 x (neg.f32 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (pow.f32 (cbrt.f32 (fma.f32 x (neg.f32 x) 1)) 2)) (/.f32 (fma.f32 x x x) (cbrt.f32 (fma.f32 x (neg.f32 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 x x x) (pow.f32 (cbrt.f32 (fma.f32 x (neg.f32 x) 1)) 2)) (/.f32 2 (cbrt.f32 (fma.f32 x (neg.f32 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (fma.f32 x (neg.f32 x) 1)) -2) (/.f32 (.f32 2 (fma.f32 x x x)) (cbrt.f32 (fma.f32 x (neg.f32 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (.f32 4 (pow.f32 (fma.f32 x x x) 2))) (pow.f32 (cbrt.f32 (fma.f32 x (neg.f32 x) 1)) 2)) (cbrt.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 (.f32 2 (fma.f32 x x x))) (pow.f32 (cbrt.f32 (fma.f32 x (neg.f32 x) 1)) 2)) (/.f32 (sqrt.f32 (.f32 2 (fma.f32 x x x))) (cbrt.f32 (fma.f32 x (neg.f32 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 2 (sqrt.f32 (fma.f32 x (neg.f32 x) 1))) (/.f32 (fma.f32 x x x) (sqrt.f32 (fma.f32 x (neg.f32 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (fma.f32 x x x) (sqrt.f32 (fma.f32 x (neg.f32 x) 1))) (/.f32 2 (sqrt.f32 (fma.f32 x (neg.f32 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (fma.f32 x (neg.f32 x) 1) -1/2) (/.f32 (.f32 2 (fma.f32 x x x)) (sqrt.f32 (fma.f32 x (neg.f32 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (cbrt.f32 (.f32 4 (pow.f32 (fma.f32 x x x) 2))) (sqrt.f32 (fma.f32 x (neg.f32 x) 1))) (/.f32 (cbrt.f32 (.f32 2 (fma.f32 x x x))) (sqrt.f32 (fma.f32 x (neg.f32 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 2 (fma.f32 x x x)) (-.f32 1 (pow.f32 x 6))) (+.f32 1 (fma.f32 x x (pow.f32 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (.f32 2 (fma.f32 x x x)) (-.f32 1 (pow.f32 x 4))) (fma.f32 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 1/2 (/.f32 (fma.f32 x (neg.f32 x) 1) (fma.f32 x x x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 (.f32 2 (fma.f32 x x x)) 3) (pow.f32 (fma.f32 x (neg.f32 x) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (.f32 1/2 (/.f32 (fma.f32 x (neg.f32 x) 1) (fma.f32 x x x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 (.f32 2 (fma.f32 x x x)) (neg.f32 (fma.f32 x (neg.f32 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (.f32 2 (fma.f32 x x x)) 3) (pow.f32 (fma.f32 x (neg.f32 x) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (*.f32 1/2 (/.f32 (fma.f32 x (neg.f32 x) 1) (fma.f32 x x x)))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (fma.f32 2 (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) 1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (fma.f32 2 (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) 1)) 1)) 2) (cbrt.f32 (fma.f32 2 (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) 1)) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (fma.f32 2 (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) 1)) 1)) (sqrt.f32 (fma.f32 2 (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) 1)) 1)) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 2 (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) 1)) 1)) 2)) (log.f32 (cbrt.f32 (fma.f32 2 (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) 1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (fma.f32 2 (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) 1)) 1))) (log.f32 (sqrt.f32 (fma.f32 2 (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) 1)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log1p.f32 (pow.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)) 2) (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 1 (pow.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)) 2))) (log.f32 (-.f32 1 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)))) 2) (cbrt.f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)))) (sqrt.f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (fma.f32 2 (/.f32 (fma.f32 x x x) (fma.f32 x (neg.f32 x) 1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (log1p.f32 (*.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (.f32 x (neg.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (.f32 (.f32 x (neg.f32 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (fma.f32 x (neg.f32 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 x (neg.f32 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (fma.f32 x (neg.f32 x) 1))) 2)) (log.f32 (cbrt.f32 (exp.f32 (fma.f32 x (neg.f32 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (fma.f32 x (neg.f32 x) 1)))) (log.f32 (sqrt.f32 (exp.f32 (fma.f32 x (neg.f32 x) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (fma.f32 x (neg.f32 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 x (neg.f32 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (fma.f32 x (neg.f32 x) 1)) (pow.f32 (cbrt.f32 (fma.f32 x (neg.f32 x) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (fma.f32 x (neg.f32 x) 1)) 2) (cbrt.f32 (fma.f32 x (neg.f32 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 x (neg.f32 x) 1)) (sqrt.f32 (fma.f32 x (neg.f32 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 (pow.f32 x 6)) (/.f32 1 (+.f32 1 (fma.f32 x x (pow.f32 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 (pow.f32 x 4)) (/.f32 1 (fma.f32 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 1 (fma.f32 x x (pow.f32 x 4))) (-.f32 1 (pow.f32 x 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 x x 1) (-.f32 1 (pow.f32 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (pow.f32 x 6)) (+.f32 1 (fma.f32 x x (pow.f32 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (pow.f32 x 4)) (fma.f32 x x 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 1 (pow.f32 x 6))) (neg.f32 (+.f32 1 (fma.f32 x x (pow.f32 x 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 1 (pow.f32 x 4))) (neg.f32 (fma.f32 x x 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (.f32 x (neg.f32 x)) 3)) (+.f32 1 (-.f32 (pow.f32 (.f32 x (neg.f32 x)) 2) (.f32 x (neg.f32 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (pow.f32 (.f32 x (neg.f32 x)) 2)) (-.f32 1 (.f32 x (neg.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 x (neg.f32 x) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 x (neg.f32 x) 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 x (neg.f32 x) 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 x (neg.f32 x) 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 x (neg.f32 x) 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 1 (fma.f32 x x (pow.f32 x 4))) (-.f32 1 (pow.f32 x 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 x x 1) (-.f32 1 (pow.f32 x 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 x (neg.f32 x) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 x (neg.f32 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 x (neg.f32 x) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 x (neg.f32 x) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 x (neg.f32 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 x (neg.f32 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log1p.f32 (.f32 x (neg.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log1p.f32 (.f32 x (neg.f32 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log1p.f32 (.f32 x (neg.f32 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (fma.f32 x (neg.f32 x) 1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (fma.f32 x (neg.f32 x) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 x (neg.f32 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 x (neg.f32 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (cbrt.f32 x) x) (neg.f32 (pow.f32 (cbrt.f32 x) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (neg.f32 x) x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (.f32 x (neg.f32 x))) 2) (cbrt.f32 (.f32 x (neg.f32 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 x (neg.f32 x))) (sqrt.f32 (.f32 x (neg.f32 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -1 (.f32 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (neg.f32 (.f32 (cbrt.f32 x) x)) (pow.f32 (cbrt.f32 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (neg.f32 x) 1) x 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (neg.f32 x) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (neg.f32 x) (sqrt.f32 x)) (sqrt.f32 x) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 x) x)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 x) x))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 x) x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 x x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 x x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 x 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 x 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 x) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cbrt.f32 x) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 x) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 x 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 x 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 x) x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 x 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 2 (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 2 (log.f32 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 2 (log.f32 (cbrt.f32 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (*.f32 6 (log.f32 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (fma.f32 x x 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (fma.f32 x x 1)) 2) (cbrt.f32 (fma.f32 x x 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (hypot.f32 1 x) (hypot.f32 1 x) -1)))))

simplify97.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

473×	`fma-neg_binary32`
467×	`cancel-sign-sub-inv_binary32`
283×	`log-prod_binary32`
253×	`distribute-rgt-neg-in_binary32`
220×	`sqr-pow_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	408	2903
1	1017	2788
2	3529	2625

Stop Event

1×	node limit

Counts

207 → 243

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

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

localize10.0ms (0.2%)

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

localize74.0ms (1.2%)

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)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite47.0ms (0.7%)

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)))))))))

simplify48.0ms (0.8%)

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)))

localize59.0ms (0.9%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (.f32 x (+.f32 (.f32 2 x) 2)))
✓	0.1b	(.f32 x (+.f32 (.f32 2 x) 2))

Compiler

Compiled 37 to 28 computations (24.3% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite61.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

786×	`pow1_binary32`
733×	`add-log-exp_binary32`
732×	`expm1-log1p-u_binary32`
731×	`log1p-expm1-u_binary32`
718×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	18
1	155	18
2	1991	18

Stop Event

1×	node limit

Counts

2 → 39

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

845×	`associate-/l*_binary32`
449×	`fma-def_binary32`
390×	`fma-neg_binary32`
341×	`log-prod_binary32`
289×	`unswap-sqr_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	142	975
1	395	842
2	1306	770
3	4791	747

Stop Event

1×	node limit

Counts

63 → 106

Calls

Call 1

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

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

localize81.0ms (1.3%)

Local error

Found 4 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))
✓	23.8b	(+.f32 1 (-.f32 (log1p.f32 (*.f32 x (/.f32 -2 (+.f32 x -1)))) 1))

Compiler

Compiled 65 to 52 computations (20% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite90.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

634×	`prod-diff_binary32`
473×	`log-prod_binary32`
296×	`fma-def_binary32`
278×	`pow2_binary32`
212×	`fma-neg_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	18
1	247	12
2	3331	12

Stop Event

1×	node limit

Counts

1 → 59

Calls

Call 1

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

Outputs

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

simplify69.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

634×	`div-sub_binary32`
554×	`fma-def_binary32`
470×	`associate-l_binary32`
450×	`associate-r_binary32`
250×	`log-prod_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	162	1660
1	410	1592
2	1177	1586
3	6668	1586

Stop Event

1×	node limit

Counts

71 → 106

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

eval302.0ms (4.9%)

Compiler: Compiled 13245 to 9949 computations (24.9% saved)

prune146.0ms (2.3%)

Pruning

7 alts after pruning (3 fresh and 4 done)

	Pruned	Kept	Total
New	680	2	682
Fresh	2	1	3
Picked	0	1	1
Done	3	3	6
Total	685	7	692

Error

Counts

692 → 7

Alt Table

Click to see full alt table

Status	Error	Program
▶	23.8b	(*.f32 1/2 (+.f32 1 (/.f32 (+.f32 -1 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 3)) (+.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) (+.f32 1 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 2))))))
✓	23.7b	(.f32 1/2 (+.f32 1 (-.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))) 1)))
▶	1.2b	(.f32 1/2 (.f32 2 x))
✓	0.1b	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 (fma.f32 x x x)) (-.f32 1 (*.f32 x x)))))
✓	0.1b	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
✓	0.3b	(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))))
▶	0.3b	(.f32 1/2 (log1p.f32 (/.f32 2 (.f32 (/.f32 1 x) (-.f32 1 x)))))

Compiler

Compiled 111 to 91 computations (18% saved)

localize56.0ms (0.9%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (/.f32 2 (*.f32 (/.f32 1 x) (-.f32 1 x))))
✓	0.1b	(*.f32 (/.f32 1 x) (-.f32 1 x))
✓	0.3b	(/.f32 2 (*.f32 (/.f32 1 x) (-.f32 1 x)))

Compiler

Compiled 49 to 38 computations (22.4% saved)

series2.0ms (0%)

Counts

3 → 36

Calls

9 calls:

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

rewrite53.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

985×	`pow1_binary32`
920×	`add-log-exp_binary32`
919×	`expm1-log1p-u_binary32`
918×	`log1p-expm1-u_binary32`
96×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	29
1	197	29
2	2541	29

Stop Event

1×	node limit

Counts

3 → 80

Calls

Call 1

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

simplify47.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

692×	`times-frac_binary32`
565×	`fma-def_binary32`
469×	`unswap-sqr_binary32`
431×	`associate-/l*_binary32`
271×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	227	1433
1	616	1354
2	2286	1257

Stop Event

1×	node limit

Counts

116 → 143

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

localize13.0ms (0.2%)

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

localize124.0ms (2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 2)
✓	0.1b	(/.f32 (+.f32 -1 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 3)) (+.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) (+.f32 1 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 2))))
✓	0.1b	(pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 3)
✓	23.8b	(+.f32 1 (/.f32 (+.f32 -1 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 3)) (+.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) (+.f32 1 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 2)))))

Compiler

Compiled 204 to 167 computations (18.1% saved)

series23.0ms (0.4%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
7.0ms	x	@	inf	(+.f32 1 (/.f32 (+.f32 -1 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 3)) (+.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) (+.f32 1 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 2)))))
5.0ms	x	@	-inf	(+.f32 1 (/.f32 (+.f32 -1 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 3)) (+.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) (+.f32 1 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 2)))))
4.0ms	x	@	inf	(/.f32 (+.f32 -1 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 3)) (+.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) (+.f32 1 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 2))))
3.0ms	x	@	-inf	(/.f32 (+.f32 -1 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 3)) (+.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) (+.f32 1 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 2))))
1.0ms	x	@	0	(+.f32 1 (/.f32 (+.f32 -1 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 3)) (+.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) (+.f32 1 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 2)))))

rewrite93.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

815×	`fma-def_binary32`
442×	`fma-neg_binary32`
342×	`expm1-udef_binary32`
342×	`log1p-udef_binary32`
209×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	137
1	425	137
2	5941	137

Stop Event

1×	node limit

Counts

4 → 135

Calls

Call 1

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

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

simplify166.0ms (2.7%)

Algorithm

1×	egg-herbie

Rules

585×	`fma-def_binary32`
484×	`associate-+r+_binary32`
350×	`associate-+l+_binary32`
247×	`associate-/r*_binary32`
232×	`associate-/l*_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	685	13921
1	2185	13544

Stop Event

1×	node limit

Counts

183 → 327

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

eval1.0s (16.4%)

Compiler: Compiled 28769 to 25602 computations (11% saved)

prune162.0ms (2.6%)

Pruning

8 alts after pruning (2 fresh and 6 done)

	Pruned	Kept	Total
New	468	2	470
Fresh	0	0	0
Picked	0	1	1
Done	1	5	6
Total	469	8	477

Error

Counts

477 → 8

Alt Table

Click to see full alt table

Status	Error	Program
✓	23.8b	(*.f32 1/2 (+.f32 1 (/.f32 (+.f32 -1 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 3)) (+.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) (+.f32 1 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 2))))))
▶	24.7b	(.f32 1/2 (+.f32 1 (-.f32 (.f32 2 x) 1)))
✓	23.7b	(.f32 1/2 (+.f32 1 (-.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))) 1)))
✓	1.2b	(.f32 1/2 (.f32 2 x))
✓	0.1b	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
✓	0.3b	(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))))
▶	0.3b	(.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 (.f32 (-.f32 1 (.f32 x x)) -1) (.f32 (+.f32 1 x) (neg.f32 x))))))
✓	0.3b	(.f32 1/2 (log1p.f32 (/.f32 2 (.f32 (/.f32 1 x) (-.f32 1 x)))))

Compiler

Compiled 125 to 105 computations (16% saved)

localize76.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (/.f32 2 (/.f32 (.f32 (-.f32 1 (.f32 x x)) -1) (*.f32 (+.f32 1 x) (neg.f32 x)))))
✓	0.1b	(*.f32 (+.f32 1 x) (neg.f32 x))
✓	0.1b	(/.f32 (.f32 (-.f32 1 (.f32 x x)) -1) (*.f32 (+.f32 1 x) (neg.f32 x)))
✓	0.3b	(/.f32 2 (/.f32 (.f32 (-.f32 1 (.f32 x x)) -1) (*.f32 (+.f32 1 x) (neg.f32 x))))

Compiler

Compiled 98 to 60 computations (38.8% saved)

series5.0ms (0.1%)

Counts

4 → 48

Calls

12 calls:

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

rewrite98.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

640×	`log-prod_binary32`
373×	`fma-def_binary32`
222×	`fma-neg_binary32`
221×	`log-div_binary32`
207×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	80
1	310	34
2	4825	34

Stop Event

1×	node limit

Counts

4 → 260

Calls

Call 1

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

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

simplify94.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

458×	`fma-neg_binary32`
260×	`cancel-sign-sub-inv_binary32`
256×	`log-prod_binary32`
237×	`distribute-rgt-neg-in_binary32`
225×	`distribute-lft-neg-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	554	4028
1	1370	3553
2	4295	3423

Stop Event

1×	node limit

Counts

308 → 396

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 -1 x)
(+.f32 (.f32 -1 (pow.f32 x 2)) (.f32 -1 x))
(+.f32 (.f32 -1 (pow.f32 x 2)) (.f32 -1 x))
(+.f32 (.f32 -1 (pow.f32 x 2)) (.f32 -1 x))
(*.f32 -1 (pow.f32 x 2))
(+.f32 (.f32 -1 (pow.f32 x 2)) (.f32 -1 x))
(+.f32 (.f32 -1 (pow.f32 x 2)) (.f32 -1 x))
(+.f32 (.f32 -1 (pow.f32 x 2)) (.f32 -1 x))
(*.f32 -1 (pow.f32 x 2))
(+.f32 (.f32 -1 (pow.f32 x 2)) (.f32 -1 x))
(+.f32 (.f32 -1 (pow.f32 x 2)) (.f32 -1 x))
(+.f32 (.f32 -1 (pow.f32 x 2)) (.f32 -1 x))
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (.f32 2/7 (pow.f32 x 7)) (+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 0 (*.f32 (/.f32 2 (+.f32 1 x)) x))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 2) (/.f32 x (+.f32 1 x)))) (cbrt.f32 (pow.f32 (exp.f32 2) (/.f32 x (+.f32 1 x)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 2) (/.f32 x (+.f32 1 x))))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 2) (/.f32 x (+.f32 1 x))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 2) (/.f32 x (+.f32 1 x))))))
(-.f32 (fma.f32 (/.f32 2 (+.f32 1 x)) x 1) 1)
(*.f32 2 (/.f32 x (+.f32 1 x)))
(.f32 1 (.f32 (/.f32 2 (+.f32 1 x)) x))
(*.f32 (fma.f32 x x x) (/.f32 2 (fma.f32 x x 1)))
(.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 (sqrt.f32 (.f32 (/.f32 2 (+.f32 1 x)) x)) (sqrt.f32 (*.f32 (/.f32 2 (+.f32 1 x)) x)))
(*.f32 -2 (/.f32 x (+.f32 1 x)))
(*.f32 (/.f32 x (+.f32 1 x)) 2)
(*.f32 (/.f32 2 (fma.f32 x x 1)) (fma.f32 x x x))
(.f32 (/.f32 2 (fma.f32 x x 1)) (.f32 (fma.f32 x x x) -1))
(*.f32 (/.f32 2 (+.f32 1 x)) x)
(.f32 (.f32 (/.f32 2 (fma.f32 x x 1)) 1) (fma.f32 x x x))
(.f32 (.f32 (/.f32 2 (fma.f32 x x 1)) (+.f32 1 x)) x)
(.f32 (.f32 (/.f32 2 (fma.f32 x x 1)) x) (+.f32 1 x))
(.f32 (.f32 (/.f32 2 (fma.f32 x x 1)) (cbrt.f32 (pow.f32 (fma.f32 x x x) 2))) (cbrt.f32 (fma.f32 x x x)))
(.f32 (.f32 (/.f32 2 (fma.f32 x x 1)) (hypot.f32 x (sqrt.f32 x))) (hypot.f32 x (sqrt.f32 x)))
(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 (+.f32 1 x) (*.f32 2 x)) -1)
(pow.f32 (/.f32 (/.f32 (+.f32 1 x) (*.f32 2 x)) 1) -1)
(neg.f32 (*.f32 (/.f32 2 (+.f32 1 x)) x))
(sqrt.f32 (pow.f32 (*.f32 (/.f32 2 (+.f32 1 x)) x) 2))
(log.f32 (pow.f32 (exp.f32 2) (/.f32 x (+.f32 1 x))))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 (/.f32 2 (+.f32 1 x)) x))))
(log.f32 (/.f32 1 (pow.f32 (exp.f32 2) (/.f32 x (+.f32 1 x)))))
(log.f32 (/.f32 1 (+.f32 1 (expm1.f32 (*.f32 (/.f32 2 (+.f32 1 x)) x)))))
(cbrt.f32 (pow.f32 (*.f32 (/.f32 2 (+.f32 1 x)) 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)))
(exp.f32 (.f32 (log.f32 (.f32 (/.f32 2 (+.f32 1 x)) x)) 1))
(fma.f32 1 (fma.f32 (/.f32 2 (+.f32 1 x)) x 1) -1)
(fma.f32 (*.f32 (cbrt.f32 (fma.f32 (/.f32 2 (+.f32 1 x)) x 1)) (cbrt.f32 (fma.f32 (/.f32 2 (+.f32 1 x)) x 1))) (cbrt.f32 (fma.f32 (/.f32 2 (+.f32 1 x)) x 1)) -1)
(fma.f32 (sqrt.f32 (fma.f32 (/.f32 2 (+.f32 1 x)) x 1)) (sqrt.f32 (fma.f32 (/.f32 2 (+.f32 1 x)) x 1)) -1)
(+.f32 0 (/.f32 (+.f32 1 x) x))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (/.f32 (+.f32 1 x) x))) (cbrt.f32 (exp.f32 (/.f32 (+.f32 1 x) x))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (+.f32 1 x) x)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (+.f32 1 x) x)))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (+.f32 1 x) x)))))
(-.f32 0 (/.f32 (+.f32 1 x) x))
(-.f32 (/.f32 1 (fma.f32 x x x)) (/.f32 (.f32 x x) (.f32 (fma.f32 x x x) -1)))
(-.f32 (exp.f32 (log1p.f32 (/.f32 (+.f32 1 x) x))) 1)
(*.f32 1 (/.f32 (+.f32 1 x) x))
(*.f32 (fma.f32 x x 1) (/.f32 1 (fma.f32 x x x)))
(*.f32 (fma.f32 x x 1) (neg.f32 (/.f32 1 (fma.f32 x x x))))
(.f32 (fma.f32 x x 1) (.f32 -1 (/.f32 1 (fma.f32 x x x))))
(*.f32 -1 (/.f32 (+.f32 1 x) x))
(*.f32 (/.f32 (+.f32 1 x) x) 1)
(*.f32 (/.f32 (+.f32 1 x) x) -1)
(.f32 (pow.f32 (cbrt.f32 (fma.f32 x x 1)) 2) (.f32 (cbrt.f32 (fma.f32 x x 1)) (/.f32 1 (fma.f32 x x x))))
(*.f32 (cbrt.f32 (/.f32 (+.f32 1 x) x)) (cbrt.f32 (pow.f32 (/.f32 (+.f32 1 x) x) 2)))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (+.f32 1 x) x) 2)) (cbrt.f32 (/.f32 (+.f32 1 x) x)))
(*.f32 (cbrt.f32 (pow.f32 (/.f32 (+.f32 1 x) x) 2)) (neg.f32 (cbrt.f32 (/.f32 (+.f32 1 x) x))))
(.f32 (hypot.f32 1 x) (.f32 (hypot.f32 1 x) (/.f32 1 (fma.f32 x x x))))
(*.f32 (sqrt.f32 (/.f32 (+.f32 1 x) x)) (sqrt.f32 (/.f32 (+.f32 1 x) x)))
(*.f32 (sqrt.f32 (/.f32 (+.f32 1 x) x)) (neg.f32 (sqrt.f32 (/.f32 (+.f32 1 x) x))))
(*.f32 (/.f32 1 x) (+.f32 1 x))
(*.f32 (/.f32 1 (fma.f32 x x x)) (fma.f32 x x 1))
(*.f32 (+.f32 1 x) (/.f32 1 x))
(*.f32 (+.f32 1 x) (neg.f32 (/.f32 1 x)))
(*.f32 (neg.f32 (+.f32 1 x)) (/.f32 1 x))
(*.f32 (/.f32 (fma.f32 x x 1) 1) (/.f32 1 (fma.f32 x x x)))
(*.f32 (/.f32 -1 (+.f32 1 x)) (/.f32 (fma.f32 x x 1) x))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 x x 1)) 2) 1) (/.f32 (cbrt.f32 (fma.f32 x x 1)) (fma.f32 x x x)))
(*.f32 (/.f32 (hypot.f32 1 x) 1) (/.f32 (hypot.f32 1 x) (fma.f32 x x x)))
(*.f32 (/.f32 (hypot.f32 1 x) (+.f32 1 x)) (/.f32 (hypot.f32 1 x) x))
(*.f32 (/.f32 1 (+.f32 1 x)) (/.f32 (fma.f32 x x 1) x))
(*.f32 (/.f32 (fma.f32 x x 1) x) (/.f32 -1 (+.f32 1 x)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 x x 1)) 2) (+.f32 1 x)) (/.f32 (cbrt.f32 (fma.f32 x x 1)) x))
(*.f32 (/.f32 (hypot.f32 1 x) x) (/.f32 (hypot.f32 1 x) (+.f32 1 x)))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 x x 1)) 2) x) (/.f32 (cbrt.f32 (fma.f32 x x 1)) (+.f32 1 x)))
(*.f32 (/.f32 1 (cbrt.f32 (pow.f32 (fma.f32 x x x) 2))) (/.f32 (fma.f32 x x 1) (cbrt.f32 (fma.f32 x x x))))
(*.f32 (/.f32 (fma.f32 x x 1) (cbrt.f32 (pow.f32 (fma.f32 x x x) 2))) (/.f32 -1 (cbrt.f32 (fma.f32 x x x))))
(*.f32 (/.f32 -1 (cbrt.f32 (pow.f32 (fma.f32 x x x) 2))) (/.f32 (fma.f32 x x 1) (cbrt.f32 (fma.f32 x x x))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 x x 1)) 2) (cbrt.f32 (pow.f32 (fma.f32 x x x) 2))) (cbrt.f32 (/.f32 (+.f32 1 x) x)))
(*.f32 (/.f32 (hypot.f32 1 x) (cbrt.f32 (pow.f32 (fma.f32 x x x) 2))) (/.f32 (hypot.f32 1 x) (cbrt.f32 (fma.f32 x x x))))
(*.f32 (/.f32 1 (hypot.f32 x (sqrt.f32 x))) (/.f32 (fma.f32 x x 1) (hypot.f32 x (sqrt.f32 x))))
(*.f32 (/.f32 (fma.f32 x x 1) (hypot.f32 x (sqrt.f32 x))) (/.f32 -1 (hypot.f32 x (sqrt.f32 x))))
(*.f32 (/.f32 -1 (hypot.f32 x (sqrt.f32 x))) (/.f32 (fma.f32 x x 1) (hypot.f32 x (sqrt.f32 x))))
(*.f32 (/.f32 (pow.f32 (cbrt.f32 (fma.f32 x x 1)) 2) (hypot.f32 x (sqrt.f32 x))) (/.f32 (cbrt.f32 (fma.f32 x x 1)) (hypot.f32 x (sqrt.f32 x))))
(*.f32 (neg.f32 (sqrt.f32 (/.f32 (+.f32 1 x) x))) (sqrt.f32 (/.f32 (+.f32 1 x) x)))
(*.f32 (neg.f32 (cbrt.f32 (pow.f32 (/.f32 (+.f32 1 x) x) 2))) (cbrt.f32 (/.f32 (+.f32 1 x) 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)
(pow.f32 (/.f32 (/.f32 x (+.f32 1 x)) 1) -1)
(neg.f32 (/.f32 (+.f32 1 x) x))
(sqrt.f32 (pow.f32 (/.f32 (+.f32 1 x) x) 2))
(log.f32 (exp.f32 (/.f32 (+.f32 1 x) x)))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 (+.f32 1 x) x))))
(log.f32 (/.f32 1 (exp.f32 (/.f32 (+.f32 1 x) x))))
(log.f32 (/.f32 1 (+.f32 1 (expm1.f32 (/.f32 (+.f32 1 x) x)))))
(log.f32 (/.f32 1 (/.f32 1 (exp.f32 (/.f32 (+.f32 1 x) x)))))
(cbrt.f32 (pow.f32 (/.f32 (+.f32 1 x) x) 3))
(cbrt.f32 (/.f32 (pow.f32 (fma.f32 x x 1) 3) (pow.f32 (fma.f32 x x x) 3)))
(expm1.f32 (log1p.f32 (/.f32 (+.f32 1 x) x)))
(log1p.f32 (expm1.f32 (/.f32 (+.f32 1 x) x)))
(exp.f32 (-.f32 (log1p.f32 x) (log.f32 x)))
(exp.f32 (*.f32 (-.f32 (log1p.f32 x) (log.f32 x)) 1))
(fma.f32 1 (/.f32 1 (fma.f32 x x x)) (neg.f32 (/.f32 (.f32 x x) (.f32 (fma.f32 x x x) -1))))
(fma.f32 (.f32 (cbrt.f32 (/.f32 1 (fma.f32 x x x))) (cbrt.f32 (/.f32 1 (fma.f32 x x x)))) (cbrt.f32 (/.f32 1 (fma.f32 x x x))) (neg.f32 (/.f32 (.f32 x x) (*.f32 (fma.f32 x x x) -1))))
(fma.f32 (sqrt.f32 (/.f32 1 (fma.f32 x x x))) (sqrt.f32 (/.f32 1 (fma.f32 x x x))) (neg.f32 (/.f32 (.f32 x x) (.f32 (fma.f32 x x x) -1))))
(+.f32 (*.f32 x x) x)
(+.f32 x (*.f32 x x))
(+.f32 (fma.f32 x x x) (+.f32 x x))
(+.f32 (fma.f32 x x x) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(+.f32 0 (fma.f32 x x x))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (exp.f32 (fma.f32 x x x))) (cbrt.f32 (exp.f32 (fma.f32 x x x))))) (log.f32 (cbrt.f32 (exp.f32 (fma.f32 x x x)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (fma.f32 x x x)))) (log.f32 (sqrt.f32 (exp.f32 (fma.f32 x x x)))))
(-.f32 (*.f32 x x) x)
(-.f32 0 (fma.f32 x x x))
(-.f32 (+.f32 1 (fma.f32 x x x)) 1)
(/.f32 (fma.f32 x x (pow.f32 x 4)) (fma.f32 x x x))
(/.f32 (-.f32 (pow.f32 x 6) (pow.f32 x 3)) (+.f32 (pow.f32 x 4) (fma.f32 x x (pow.f32 x 3))))
(/.f32 (*.f32 (fma.f32 x x 1) x) (+.f32 1 x))
(/.f32 (*.f32 (+.f32 1 (pow.f32 x 3)) x) (+.f32 1 (fma.f32 x x x)))
(/.f32 (*.f32 x (fma.f32 x x 1)) (+.f32 1 x))
(/.f32 (*.f32 x (+.f32 1 (pow.f32 x 3))) (+.f32 1 (fma.f32 x 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)
(neg.f32 (fma.f32 x x x))
(sqrt.f32 (pow.f32 (fma.f32 x x x) 2))
(log.f32 (exp.f32 (fma.f32 x x x)))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 x x x))))
(log.f32 (/.f32 (pow.f32 (exp.f32 x) x) (exp.f32 x)))
(log.f32 (/.f32 1 (+.f32 1 (expm1.f32 (fma.f32 x x x)))))
(log.f32 (/.f32 1 (/.f32 (pow.f32 (exp.f32 x) x) (exp.f32 x))))
(log.f32 (/.f32 (+.f32 1 (expm1.f32 (*.f32 x x))) (exp.f32 x)))
(log.f32 (/.f32 (/.f32 1 (pow.f32 (exp.f32 x) x)) (exp.f32 x)))
(log.f32 (/.f32 (pow.f32 (exp.f32 x) x) (+.f32 1 (expm1.f32 x))))
(log.f32 (/.f32 (+.f32 1 (expm1.f32 (*.f32 x x))) (+.f32 1 (expm1.f32 x))))
(log.f32 (/.f32 (/.f32 1 (pow.f32 (exp.f32 x) x)) (+.f32 1 (expm1.f32 x))))
(log.f32 (*.f32 (pow.f32 (exp.f32 x) x) (exp.f32 x)))
(log.f32 (.f32 (+.f32 1 (expm1.f32 (.f32 x x))) (exp.f32 x)))
(log.f32 (*.f32 (/.f32 1 (pow.f32 (exp.f32 x) x)) (exp.f32 x)))
(log.f32 (*.f32 (pow.f32 (exp.f32 x) x) (+.f32 1 (expm1.f32 x))))
(log.f32 (.f32 (+.f32 1 (expm1.f32 (.f32 x x))) (+.f32 1 (expm1.f32 x))))
(log.f32 (*.f32 (/.f32 1 (pow.f32 (exp.f32 x) x)) (+.f32 1 (expm1.f32 x))))
(log.f32 (*.f32 (exp.f32 x) (pow.f32 (exp.f32 x) x)))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (pow.f32 (exp.f32 x) x)))
(log.f32 (.f32 (exp.f32 x) (+.f32 1 (expm1.f32 (.f32 x x)))))
(log.f32 (.f32 (+.f32 1 (expm1.f32 x)) (+.f32 1 (expm1.f32 (.f32 x x)))))
(log.f32 (*.f32 (exp.f32 x) (/.f32 1 (pow.f32 (exp.f32 x) x))))
(log.f32 (*.f32 (+.f32 1 (expm1.f32 x)) (/.f32 1 (pow.f32 (exp.f32 x) x))))
(cbrt.f32 (pow.f32 (fma.f32 x x x) 3))
(cbrt.f32 (*.f32 (pow.f32 x 3) (pow.f32 (+.f32 1 x) 3)))
(cbrt.f32 (*.f32 (pow.f32 (+.f32 1 x) 3) (pow.f32 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)))
(exp.f32 (*.f32 (log.f32 (fma.f32 x x x)) 1))
(fma.f32 1 (*.f32 x x) x)
(fma.f32 1 x (*.f32 x x))
(fma.f32 1 (fma.f32 x x x) (+.f32 x x))
(fma.f32 1 (fma.f32 x x x) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 1 (+.f32 1 (fma.f32 x x x)) -1)
(fma.f32 (*.f32 x x) 1 x)
(fma.f32 -1 (*.f32 x x) x)
(fma.f32 -1 x (*.f32 x x))
(fma.f32 -1 (fma.f32 x x x) (+.f32 x x))
(fma.f32 -1 (fma.f32 x x x) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 x 1 (*.f32 x x))
(fma.f32 x -1 (*.f32 x x))
(fma.f32 x x x)
(fma.f32 x (+.f32 1 x) (+.f32 x x))
(fma.f32 x (+.f32 1 x) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 x (-.f32 x 1) (+.f32 x x))
(fma.f32 x (-.f32 x 1) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 x (neg.f32 (+.f32 1 x)) (+.f32 x x))
(fma.f32 x (neg.f32 (+.f32 1 x)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (fma.f32 x x x) 1 (+.f32 x x))
(fma.f32 (fma.f32 x x x) 1 (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (cbrt.f32 (fma.f32 x x x)) (cbrt.f32 (pow.f32 (fma.f32 x x x) 2)) (+.f32 x x))
(fma.f32 (cbrt.f32 (fma.f32 x x x)) (cbrt.f32 (pow.f32 (fma.f32 x x x) 2)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (cbrt.f32 (pow.f32 (fma.f32 x x x) 2)) (cbrt.f32 (fma.f32 x x x)) (+.f32 x x))
(fma.f32 (cbrt.f32 (pow.f32 (fma.f32 x x x) 2)) (cbrt.f32 (fma.f32 x x x)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (cbrt.f32 (pow.f32 (fma.f32 x x x) 2)) (neg.f32 (cbrt.f32 (fma.f32 x x x))) (+.f32 x x))
(fma.f32 (cbrt.f32 (pow.f32 (fma.f32 x x x) 2)) (neg.f32 (cbrt.f32 (fma.f32 x x x))) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (cbrt.f32 (pow.f32 x 4)) (pow.f32 (cbrt.f32 x) 2) x)
(fma.f32 (cbrt.f32 (pow.f32 x 4)) (neg.f32 (pow.f32 (cbrt.f32 x) 2)) x)
(fma.f32 (cbrt.f32 (pow.f32 (+.f32 1 x) 2)) (*.f32 (cbrt.f32 (+.f32 1 x)) x) (+.f32 x x))
(fma.f32 (cbrt.f32 (pow.f32 (+.f32 1 x) 2)) (*.f32 (cbrt.f32 (+.f32 1 x)) x) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (cbrt.f32 x) (pow.f32 (cbrt.f32 x) 2) (*.f32 x x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 (pow.f32 x 4)) x)
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (cbrt.f32 x) (*.f32 x x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (neg.f32 (cbrt.f32 x)) (*.f32 x x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (*.f32 (cbrt.f32 x) (+.f32 1 x)) (+.f32 x x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (*.f32 (cbrt.f32 x) (+.f32 1 x)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (pow.f32 (cbrt.f32 x) 2) (*.f32 (cbrt.f32 x) x) x)
(fma.f32 (hypot.f32 x (sqrt.f32 x)) (hypot.f32 x (sqrt.f32 x)) (+.f32 x x))
(fma.f32 (hypot.f32 x (sqrt.f32 x)) (hypot.f32 x (sqrt.f32 x)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (hypot.f32 x (sqrt.f32 x)) (neg.f32 (hypot.f32 x (sqrt.f32 x))) (+.f32 x x))
(fma.f32 (hypot.f32 x (sqrt.f32 x)) (neg.f32 (hypot.f32 x (sqrt.f32 x))) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (sqrt.f32 (+.f32 1 x)) (*.f32 (sqrt.f32 (+.f32 1 x)) x) (+.f32 x x))
(fma.f32 (sqrt.f32 (+.f32 1 x)) (*.f32 (sqrt.f32 (+.f32 1 x)) x) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (sqrt.f32 x) (sqrt.f32 x) (*.f32 x x))
(fma.f32 (sqrt.f32 x) (neg.f32 (sqrt.f32 x)) (*.f32 x x))
(fma.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (+.f32 1 x)) (+.f32 x x))
(fma.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) (+.f32 1 x)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) x) x)
(fma.f32 (+.f32 1 x) x (+.f32 x x))
(fma.f32 (+.f32 1 x) x (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (*.f32 x (sqrt.f32 x)) (sqrt.f32 x) x)
(fma.f32 (*.f32 (cbrt.f32 (+.f32 1 (fma.f32 x x x))) (cbrt.f32 (+.f32 1 (fma.f32 x x x)))) (cbrt.f32 (+.f32 1 (fma.f32 x x x))) -1)
(fma.f32 (sqrt.f32 (cbrt.f32 (pow.f32 x 4))) (sqrt.f32 (pow.f32 (cbrt.f32 x) 2)) (*.f32 x x))
(fma.f32 (hypot.f32 1 (hypot.f32 x (sqrt.f32 x))) (hypot.f32 1 (hypot.f32 x (sqrt.f32 x))) -1)
(fma.f32 (neg.f32 (sqrt.f32 x)) (sqrt.f32 x) (*.f32 x x))
(fma.f32 (neg.f32 (+.f32 1 x)) x (+.f32 x x))
(fma.f32 (neg.f32 (+.f32 1 x)) x (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (+.f32 x (sqrt.f32 x)) (-.f32 x (sqrt.f32 x)) (+.f32 x x))
(fma.f32 (+.f32 x (sqrt.f32 x)) (-.f32 x (sqrt.f32 x)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (neg.f32 (cbrt.f32 (pow.f32 x 4))) (pow.f32 (cbrt.f32 x) 2) x)
(fma.f32 (neg.f32 (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) (*.f32 x x))
(fma.f32 (neg.f32 (hypot.f32 x (sqrt.f32 x))) (hypot.f32 x (sqrt.f32 x)) (+.f32 x x))
(fma.f32 (neg.f32 (hypot.f32 x (sqrt.f32 x))) (hypot.f32 x (sqrt.f32 x)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (fma.f32 x x x) 2))) (cbrt.f32 (fma.f32 x x x)) (+.f32 x x))
(fma.f32 (neg.f32 (cbrt.f32 (pow.f32 (fma.f32 x x x) 2))) (cbrt.f32 (fma.f32 x x x)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (*.f32 (+.f32 1 x) -1) x (+.f32 x x))
(fma.f32 (*.f32 (+.f32 1 x) -1) x (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (*.f32 x (cbrt.f32 (pow.f32 (+.f32 1 x) 2))) (cbrt.f32 (+.f32 1 x)) (+.f32 x x))
(fma.f32 (*.f32 x (cbrt.f32 (pow.f32 (+.f32 1 x) 2))) (cbrt.f32 (+.f32 1 x)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (*.f32 x (sqrt.f32 (+.f32 1 x))) (sqrt.f32 (+.f32 1 x)) (+.f32 x x))
(fma.f32 (*.f32 x (sqrt.f32 (+.f32 1 x))) (sqrt.f32 (+.f32 1 x)) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (*.f32 (+.f32 1 x) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) (+.f32 x x))
(fma.f32 (*.f32 (+.f32 1 x) (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (*.f32 (+.f32 1 x) (sqrt.f32 x)) (sqrt.f32 x) (+.f32 x x))
(fma.f32 (*.f32 (+.f32 1 x) (sqrt.f32 x)) (sqrt.f32 x) (fma.f32 (neg.f32 (cbrt.f32 x)) (pow.f32 (cbrt.f32 x) 2) x))
(fma.f32 (*.f32 x (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) x)
(fma.f32 (.f32 -1 (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x) (.f32 x x))
(fma.f32 (.f32 -1 (sqrt.f32 x)) (sqrt.f32 x) (.f32 x x))
(+.f32 0 (log1p.f32 (*.f32 (/.f32 2 (+.f32 1 x)) x)))
(+.f32 (log.f32 (*.f32 (cbrt.f32 (fma.f32 (/.f32 2 (+.f32 1 x)) x 1)) (cbrt.f32 (fma.f32 (/.f32 2 (+.f32 1 x)) x 1)))) (log.f32 (cbrt.f32 (fma.f32 (/.f32 2 (+.f32 1 x)) x 1))))
(+.f32 (log.f32 (sqrt.f32 (fma.f32 (/.f32 2 (+.f32 1 x)) x 1))) (log.f32 (sqrt.f32 (fma.f32 (/.f32 2 (+.f32 1 x)) x 1))))
(-.f32 (log1p.f32 (pow.f32 (.f32 (/.f32 2 (+.f32 1 x)) x) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (.f32 (/.f32 2 (+.f32 1 x)) x) 2) (*.f32 (/.f32 2 (+.f32 1 x)) x)))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 (/.f32 2 (+.f32 1 x)) x)))) 1)
(-.f32 (log.f32 (-.f32 1 (pow.f32 (.f32 (/.f32 2 (+.f32 1 x)) x) 2))) (log.f32 (-.f32 1 (.f32 (/.f32 2 (+.f32 1 x)) x))))
(.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))) (cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (/.f32 2 (+.f32 1 x)) x)) 2)))
(.f32 (cbrt.f32 (pow.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 (fma.f32 (/.f32 2 (+.f32 1 x)) x 1))
(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))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (.f32 (/.f32 2 (+.f32 1 x)) x))) 1))

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

localize32.0ms (0.5%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	23.8b	(+.f32 1 (-.f32 (*.f32 2 x) 1))

Compiler

Compiled 29 to 24 computations (17.2% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite42.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

692×	`pow1_binary32`
650×	`add-log-exp_binary32`
648×	`log1p-expm1-u_binary32`
648×	`expm1-log1p-u_binary32`
640×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	7	8
1	157	4
2	2078	4

Stop Event

1×	node limit

Counts

1 → 41

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (*.f32 2 x) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 2 x 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 1 (-.f32 1 (fma.f32 2 x -1))) (/.f32 (pow.f32 (fma.f32 2 x -1) 2) (-.f32 1 (fma.f32 2 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 2 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 2 x)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 x 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 2 x)) (pow.f32 (cbrt.f32 (*.f32 2 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 2 x)) 2) (cbrt.f32 (*.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (*.f32 2 x)) 2) (*.f32 (cbrt.f32 (*.f32 2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 x) 2) (*.f32 (cbrt.f32 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 2 x)) (sqrt.f32 (*.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 2 x)) (*.f32 (sqrt.f32 (*.f32 2 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 x) (*.f32 (sqrt.f32 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 1 (pow.f32 (fma.f32 2 x -1) 3)) (/.f32 1 (+.f32 1 (-.f32 (pow.f32 (fma.f32 2 x -1) 2) (fma.f32 2 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 1 (pow.f32 (fma.f32 2 x -1) 2)) (/.f32 1 (-.f32 1 (fma.f32 2 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (pow.f32 (cbrt.f32 x) 2)) (cbrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 2 (sqrt.f32 x)) (sqrt.f32 x))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 1 (-.f32 (pow.f32 (fma.f32 2 x -1) 2) (fma.f32 2 x -1))) (+.f32 1 (pow.f32 (fma.f32 2 x -1) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 1 (fma.f32 2 x -1)) (-.f32 1 (pow.f32 (fma.f32 2 x -1) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (fma.f32 2 x -1) 3)) (+.f32 1 (-.f32 (pow.f32 (fma.f32 2 x -1) 2) (fma.f32 2 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (fma.f32 2 x -1) 3)) (+.f32 (pow.f32 (fma.f32 2 x -1) 2) (-.f32 1 (fma.f32 2 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (pow.f32 (fma.f32 2 x -1) 2)) (-.f32 1 (fma.f32 2 x -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 1 (pow.f32 (fma.f32 2 x -1) 3))) (neg.f32 (+.f32 1 (-.f32 (pow.f32 (fma.f32 2 x -1) 2) (fma.f32 2 x -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 1 (pow.f32 (fma.f32 2 x -1) 2))) (neg.f32 (-.f32 1 (fma.f32 2 x -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (fma.f32 2 x 1) 3) 1) (+.f32 (*.f32 (fma.f32 2 x 1) (fma.f32 2 x 1)) (+.f32 1 (fma.f32 2 x 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (fma.f32 2 x 1) (fma.f32 2 x 1)) 1) (+.f32 (fma.f32 2 x 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (fma.f32 2 x -1) 2) 1) (-.f32 (fma.f32 2 x -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 2 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 2 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 2 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 8 (pow.f32 x 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 2 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 2) x))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 8 (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 2 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (fma.f32 2 x -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (fma.f32 2 x -1)) 2) (cbrt.f32 (fma.f32 2 x -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (fma.f32 2 x -1)) (sqrt.f32 (fma.f32 2 x -1)) 1)))))

simplify46.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

549×	`div-sub_binary32`
320×	`associate-l_binary32`
294×	`associate-r_binary32`
293×	`distribute-rgt-out_binary32`
257×	`distribute-rgt-neg-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	101	401
1	244	380
2	673	366
3	3797	366

Stop Event

1×	node limit

Counts

53 → 47

Calls

Call 1

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

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

eval170.0ms (2.7%)

Compiler: Compiled 8676 to 5989 computations (31% saved)

prune98.0ms (1.6%)

Pruning

9 alts after pruning (1 fresh and 8 done)

	Pruned	Kept	Total
New	442	1	443
Fresh	0	0	0
Picked	0	1	1
Done	0	7	7
Total	442	9	451

Error

Counts

451 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	24.6b	(*.f32 1/2 (-.f32 (fma.f32 2 x 1) 1))
✓	23.8b	(*.f32 1/2 (+.f32 1 (/.f32 (+.f32 -1 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 3)) (+.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) (+.f32 1 (pow.f32 (log1p.f32 (/.f32 x (/.f32 (+.f32 x -1) -2))) 2))))))
✓	24.7b	(.f32 1/2 (+.f32 1 (-.f32 (.f32 2 x) 1)))
✓	23.7b	(.f32 1/2 (+.f32 1 (-.f32 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))) 1)))
✓	1.2b	(.f32 1/2 (.f32 2 x))
✓	0.1b	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
✓	0.3b	(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))))
✓	0.3b	(.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 (.f32 (-.f32 1 (.f32 x x)) -1) (.f32 (+.f32 1 x) (neg.f32 x))))))
✓	0.3b	(.f32 1/2 (log1p.f32 (/.f32 2 (.f32 (/.f32 1 x) (-.f32 1 x)))))

Compiler

Compiled 134 to 113 computations (15.7% saved)

regimes63.0ms (1%)

Counts

16 → 1

Calls

Call 1

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

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

Calls

7 calls:

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

Results

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

Compiler

Compiled 245 to 198 computations (19.2% saved)

regimes34.0ms (0.5%)

Counts

14 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
8.0ms	(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))
7.0ms	(/.f32 (*.f32 2 x) (-.f32 1 x))
7.0ms	x

Results

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

Compiler

Compiled 164 to 135 computations (17.7% saved)

regimes8.0ms (0.1%)

Counts

10 → 1

Calls

Call 1

Inputs
(.f32 1/2 (.f32 2 x))
(.f32 1/2 (+.f32 1 (-.f32 (.f32 2 x) 1)))
(*.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 (-.f32 (fma.f32 2 x 1) 1))
(.f32 1/2 (log1p.f32 (.f32 x (+.f32 (*.f32 2 x) 2))))
(.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 81 to 68 computations (16% saved)

regimes7.0ms (0.1%)

Accuracy

Total -30.8b remaining (-2466.6%)

Threshold costs -30.8b (-2466.6%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

5.0ms

Results

Error	Segments	Branch
1.2b	1	`x`

Compiler

Compiled 61 to 52 computations (14.8% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

9×	`*-commutative_binary32`
5×	`+-commutative_binary32`
4×	`sub-neg_binary32`
2×	`neg-sub0_binary32`
2×	`neg-mul-1_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	59
1	41	59
2	48	59
3	52	59
4	54	59

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 44 to 34 computations (22.7% saved)

soundness101.0ms (1.6%)

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

Compiler

Compiled 123 to 82 computations (33.3% saved)

end56.0ms (0.9%)

Compiler: Compiled 41 to 31 computations (24.4% saved)

Details

analyze8.0ms (0.1%)

sample1.0s (16.8%)

preprocess13.0ms (0.2%)

simplify77.0ms (1.2%)

eval2.0ms (0%)

prune3.0ms (0%)

localize35.0ms (0.6%)

series4.0ms (0.1%)

rewrite81.0ms (1.3%)

simplify101.0ms (1.6%)

localize66.0ms (1.1%)

series3.0ms (0.1%)

rewrite60.0ms (1%)

simplify307.0ms (4.9%)

localize63.0ms (1%)

series2.0ms (0%)

rewrite53.0ms (0.9%)

simplify44.0ms (0.7%)

eval135.0ms (2.2%)

prune109.0ms (1.7%)

localize101.0ms (1.6%)

series4.0ms (0.1%)

rewrite65.0ms (1.1%)

simplify97.0ms (1.6%)

localize10.0ms (0.2%)

localize74.0ms (1.2%)

series3.0ms (0%)

rewrite47.0ms (0.7%)

simplify48.0ms (0.8%)

localize59.0ms (0.9%)

series3.0ms (0%)

rewrite61.0ms (1%)

simplify52.0ms (0.8%)

localize81.0ms (1.3%)

series1.0ms (0%)

rewrite90.0ms (1.5%)

simplify69.0ms (1.1%)

eval302.0ms (4.9%)

prune146.0ms (2.3%)

localize56.0ms (0.9%)

series2.0ms (0%)

rewrite53.0ms (0.9%)

simplify47.0ms (0.8%)

localize13.0ms (0.2%)

localize124.0ms (2%)

series23.0ms (0.4%)

rewrite93.0ms (1.5%)

simplify166.0ms (2.7%)

eval1.0s (16.4%)

prune162.0ms (2.6%)

localize76.0ms (1.2%)

series5.0ms (0.1%)

rewrite98.0ms (1.6%)

simplify94.0ms (1.5%)

localize32.0ms (0.5%)

series1.0ms (0%)

rewrite42.0ms (0.7%)

simplify46.0ms (0.7%)

eval170.0ms (2.7%)

prune98.0ms (1.6%)

regimes63.0ms (1%)

regimes34.0ms (0.5%)

regimes8.0ms (0.1%)

regimes7.0ms (0.1%)

simplify5.0ms (0.1%)

soundness101.0ms (1.6%)

end56.0ms (0.9%)

Profiling