Details

analyze9.0ms (0.2%)

Algorithm

1×

Search

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

Compiler

Compiled 4 to 3 computations (25% saved)

sample1.5s (30.7%)

Results

1.5s

8256×

body

256

valid

Bogosity

preprocess16.0ms (0.3%)

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)

simplify76.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 7 (0.0ms)

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

Stop Event

1×

saturated

Counts

1 → 8

Calls

Call 1

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

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

eval2.0ms (0%)

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

prune2.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	6	2	8
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	6	3	9

Error

0.0b

Counts

9 → 2

Alt Table

Click to see full alt table

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

Compiler

Compiled 22 to 18 computations (18.2% saved)

localize62.0ms (1.2%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 28 computations (26.3% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite59.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 74

Calls

Call 1

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

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

Outputs

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

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

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

simplify51.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

110 → 129

Calls

Call 1

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

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

localize43.0ms (0.8%)

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)

series1.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite49.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 58

Calls

Call 1

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

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

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))))))))

simplify43.0ms (0.9%)

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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eval81.0ms (1.6%)

Compiler: Compiled 3631 to 2947 computations (18.8% saved)

prune40.0ms (0.8%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	237	7	244
Fresh	0	0	0
Picked	0	1	1
Done	1	0	1
Total	238	8	246

Error

0.0b

Counts

246 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	0.3b	(.f32 1/2 (+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))))
	0.4b	(.f32 1/2 (+.f32 (.f32 2 x) (*.f32 2/3 (pow.f32 x 3))))
▶	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))))
▶	2.1b	(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 1 x))))
▶	0.9b	(.f32 1/2 (log1p.f32 (.f32 2 (+.f32 (*.f32 x x) x))))
▶	2.0b	(.f32 1/2 (log1p.f32 (.f32 2 x)))
▶	32.0b	(*.f32 1/2 (log1p.f32 -2))

Compiler

Compiled 167 to 135 computations (19.2% saved)

localize52.0ms (1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	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)

series2.0ms (0%)

Counts

2 → 24

Calls

6 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	@	0	(/.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))))
0.0ms	x	@	inf	(log1p.f32 (/.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)))

rewrite70.0ms (1.4%)

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	36
1	212	36
2	2783	36

Stop Event

1×	node limit

Counts

2 → 83

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))))

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))))))

simplify74.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

530×	`distribute-rgt-in_binary32`
493×	`distribute-lft-in_binary32`
346×	`unswap-sqr_binary32`
302×	`times-frac_binary32`
283×	`fma-neg_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	2192
1	673	2143
2	2399	2128

Stop Event

1×	node limit

Counts

107 → 158

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 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))

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

localize12.0ms (0.2%)

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

localize18.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

series10.0ms (0.2%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
9.0ms	x	@	-inf	(log1p.f32 (*.f32 2 x))
1.0ms	x	@	inf	(log1p.f32 (*.f32 2 x))
0.0ms	x	@	0	(log1p.f32 (*.f32 2 x))

rewrite34.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

417×	`pow1_binary32`
404×	`add-sqr-sqrt_binary32`
397×	`*-un-lft-identity_binary32`
384×	`add-log-exp_binary32`
384×	`expm1-log1p-u_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	98	6
2	1063	6

Stop Event

1×	node limit

Counts

1 → 20

Calls

Call 1

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

Outputs

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

simplify50.0ms (1%)

Algorithm

1×	egg-herbie

Rules

418×	`fma-def_binary32`
344×	`log-prod_binary32`
329×	`fma-neg_binary32`
317×	`associate-+l-_binary32`
283×	`associate-l_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	105	420
1	282	389
2	854	382
3	3919	378
4	7791	378

Stop Event

1×	node limit

Counts

32 → 76

Calls

Call 1

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

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

localize26.0ms (0.5%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 22 computations (18.5% saved)

series3.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite70.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

603×	`pow1_binary32`
559×	`add-log-exp_binary32`
559×	`expm1-log1p-u_binary32`
558×	`log1p-expm1-u_binary32`
547×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	146	10
2	1637	10

Stop Event

1×	node limit

Counts

2 → 38

Calls

Call 1

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

Outputs

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

simplify40.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

528×	`fma-def_binary32`
386×	`log-prod_binary32`
385×	`distribute-rgt-in_binary32`
348×	`distribute-lft-in_binary32`
320×	`unswap-sqr_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	122	556
1	320	471
2	1041	424
3	4073	424

Stop Event

1×	node limit

Counts

62 → 73

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

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

localize48.0ms (1%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 37 to 15 computations (59.5% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite40.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	156	10
2	2145	10

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

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

Outputs

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

simplify47.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

709×	`fma-def_binary32`
459×	`fma-neg_binary32`
339×	`associate-+l+_binary32`
329×	`log-prod_binary32`
281×	`associate-+r+_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	78	484
1	199	435
2	601	388
3	2522	380
4	5852	380

Stop Event

1×	node limit

Counts

27 → 65

Calls

Call 1

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

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

eval186.0ms (3.7%)

Compiler: Compiled 6491 to 4538 computations (30.1% saved)

prune88.0ms (1.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	370	2	372
Fresh	0	2	2
Picked	1	0	1
Done	3	2	5
Total	374	6	380

Error

Counts

380 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.1b	(.f32 1/2 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))) 1))
▶	0.3b	(.f32 1/2 (+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))))
▶	0.4b	(.f32 1/2 (+.f32 (.f32 2 x) (*.f32 2/3 (pow.f32 x 3))))
▶	0.8b	(*.f32 1/2 (+.f32 x 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))))

Compiler

Compiled 83 to 64 computations (22.9% saved)

localize12.0ms (0.2%)

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

localize50.0ms (1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(*.f32 2/3 (pow.f32 x 3))

Compiler

Compiled 37 to 29 computations (21.6% saved)

series2.0ms (0%)

Counts

1 → 0

Calls

3 calls:

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

rewrite55.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

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

Outputs

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

simplify40.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

11 → 14

Calls

Call 1

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

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

localize76.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f32 x 5)
✓	0.0b	(+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))
✓	0.1b	(*.f32 2/5 (pow.f32 x 5))
	0.2b	(*.f32 2/3 (pow.f32 x 3))

Compiler

Compiled 70 to 56 computations (20% saved)

series4.0ms (0.1%)

Counts

3 → 6

Calls

9 calls:

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

rewrite59.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

476×	`log-prod_binary32`
363×	`exp-prod_binary32`
316×	`prod-exp_binary32`
309×	`fma-def_binary32`
283×	`pow-prod-down_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	247	25
2	2871	25

Stop Event

1×	node limit

Counts

3 → 128

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 2/5 (pow.f32 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 2/5) (pow.f32 x 5))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 2/5) (pow.f32 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 2/5) (pow.f32 x 5)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 2/5) (pow.f32 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 2/5 (pow.f32 x 5)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 2/5 (pow.f32 x 5)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 x 10) 4/25) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 2/5 (pow.f32 x 5))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 2/5) (pow.f32 x 5/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 x 15) 8/125) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5))) 2)) (cbrt.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)))) (sqrt.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 x 10) 4/25))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 2/5) (pow.f32 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 2/5 (pow.f32 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 x 15) 8/125))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 2/5 (pow.f32 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 2/5 (pow.f32 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 2/5 (pow.f32 x 5)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 2/5) (pow.f32 x 5/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 x 15) 8/125)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)) 3) 1/3))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 (*.f32 (pow.f32 x 6) 4/9) (fma.f32 2/3 (pow.f32 x 3) (*.f32 -2/5 (pow.f32 x 5)))) (/.f32 (*.f32 (pow.f32 x 10) 4/25) (fma.f32 2/3 (pow.f32 x 3) (*.f32 -2/5 (pow.f32 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))) (pow.f32 (cbrt.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))) 2) (cbrt.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))) (sqrt.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (fma.f32 (pow.f32 x 15) 8/125 (*.f32 (pow.f32 x 9) 8/27)) (/.f32 1 (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (*.f32 (pow.f32 x 10) 4/25)) (*.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 2/3 (pow.f32 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (-.f32 (*.f32 (pow.f32 x 6) 4/9) (*.f32 (pow.f32 x 10) 4/25)) (/.f32 1 (fma.f32 2/3 (pow.f32 x 3) (*.f32 -2/5 (pow.f32 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (*.f32 (pow.f32 x 10) 4/25)) (*.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 2/3 (pow.f32 x 3)))) (fma.f32 (pow.f32 x 15) 8/125 (*.f32 (pow.f32 x 9) 8/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 2/3 (pow.f32 x 3) (*.f32 -2/5 (pow.f32 x 5))) (-.f32 (*.f32 (pow.f32 x 6) 4/9) (*.f32 (pow.f32 x 10) 4/25))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 (pow.f32 x 15) 8/125 (*.f32 (pow.f32 x 9) 8/27)) (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (*.f32 (pow.f32 x 10) 4/25)) (*.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 2/3 (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 (pow.f32 x 15) 8/125 (*.f32 (pow.f32 x 9) 8/27)) (fma.f32 (pow.f32 x 10) 4/25 (-.f32 (*.f32 (pow.f32 x 6) 4/9) (*.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 2/3 (pow.f32 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (pow.f32 x 6) 4/9) (*.f32 (pow.f32 x 10) 4/25)) (fma.f32 2/3 (pow.f32 x 3) (*.f32 -2/5 (pow.f32 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (fma.f32 (pow.f32 x 15) 8/125 (*.f32 (pow.f32 x 9) 8/27))) (neg.f32 (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (*.f32 (pow.f32 x 10) 4/25)) (*.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 2/3 (pow.f32 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 (*.f32 (pow.f32 x 6) 4/9) (*.f32 (pow.f32 x 10) 4/25))) (neg.f32 (fma.f32 2/3 (pow.f32 x 3) (*.f32 -2/5 (pow.f32 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (*.f32 (pow.f32 x 10) 4/25) (*.f32 (pow.f32 x 6) 4/9)) (-.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 2/3 (pow.f32 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (log.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (*.f32 (pow.f32 x 10) 4/25)) (*.f32 (*.f32 2/5 (pow.f32 x 5)) (*.f32 2/3 (pow.f32 x 3)))) (fma.f32 (pow.f32 x 15) 8/125 (*.f32 (pow.f32 x 9) 8/27))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 2/3 (pow.f32 x 3) (*.f32 -2/5 (pow.f32 x 5))) (-.f32 (*.f32 (pow.f32 x 6) 4/9) (*.f32 (pow.f32 x 10) 4/25))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))))) 2)) (cbrt.f32 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))) (sqrt.f32 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (*.f32 2/5 (pow.f32 x 5)))) (pow.f32 (exp.f32 2/3) (pow.f32 x 3))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (pow.f32 (exp.f32 2/5) (pow.f32 x 5)) (+.f32 1 (expm1.f32 (*.f32 2/3 (pow.f32 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (*.f32 2/5 (pow.f32 x 5)))) (+.f32 1 (expm1.f32 (*.f32 2/3 (pow.f32 x 3))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (*.f32 2/3 (pow.f32 x 3)))) (pow.f32 (exp.f32 2/5) (pow.f32 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (pow.f32 (exp.f32 2/3) (pow.f32 x 3)) (+.f32 1 (expm1.f32 (*.f32 2/5 (pow.f32 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (*.f32 (+.f32 1 (expm1.f32 (*.f32 2/3 (pow.f32 x 3)))) (+.f32 1 (expm1.f32 (*.f32 2/5 (pow.f32 x 5))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 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(pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (*.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 x x) (*.f32 x 2/3) (*.f32 2/5 (pow.f32 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 x 10)) (*.f32 (pow.f32 (cbrt.f32 x) 5) 2/5) (*.f32 2/3 (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 2/5 (pow.f32 x 5))) (cbrt.f32 (*.f32 (pow.f32 x 10) 4/25)) (*.f32 2/3 (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (*.f32 (pow.f32 x 10) 4/25)) (cbrt.f32 (*.f32 2/5 (pow.f32 x 5))) (*.f32 2/3 (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 x (cbrt.f32 2/3)) (pow.f32 (*.f32 x (cbrt.f32 2/3)) 2) (*.f32 2/5 (pow.f32 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (*.f32 x (cbrt.f32 2/3)) 2) (*.f32 x (cbrt.f32 2/3)) (*.f32 2/5 (pow.f32 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 (sqrt.f32 2/5) (pow.f32 x 5/2)) (*.f32 (sqrt.f32 2/5) (pow.f32 x 5/2)) (*.f32 2/3 (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (*.f32 x (cbrt.f32 2/3)) 3/2) (pow.f32 (*.f32 x (cbrt.f32 2/3)) 3/2) (*.f32 2/5 (pow.f32 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 x 5/2) (*.f32 (pow.f32 x 5/2) 2/5) (*.f32 2/3 (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 x 3/2) (*.f32 (pow.f32 x 3/2) 2/3) (*.f32 2/5 (pow.f32 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 2/5 (cbrt.f32 (pow.f32 x 10))) (pow.f32 (cbrt.f32 x) 5) (*.f32 2/3 (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 2/5 (pow.f32 x 5/2)) (pow.f32 x 5/2) (*.f32 2/3 (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 2/3 x) (*.f32 x x) (*.f32 2/5 (pow.f32 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 2/3 (*.f32 x x)) x (*.f32 2/5 (pow.f32 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 2/3 (pow.f32 x 3/2)) (pow.f32 x 3/2) (*.f32 2/5 (pow.f32 x 5)))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 x 5))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 x 5)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 x 5)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 x 5))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 x 5) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 x 3) (*.f32 x x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 x 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 x x) (pow.f32 x 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 x) 5) (cbrt.f32 (pow.f32 x 10)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 x 10)) (pow.f32 (cbrt.f32 x) 5))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 x 5/2) (pow.f32 x 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 x) 10) (pow.f32 (cbrt.f32 x) 5))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 x 10))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 x 5))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 x 15))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 x 5)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 5 (log.f32 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 5 (log.f32 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 x 15)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log.f32 x)) 5/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 x) 5)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 5/2 (log.f32 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 x) 1) 5))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (*.f32 5 (log.f32 x)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 x) 5/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 x) 5/2) (*.f32 5/2 (log.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 5/2 (log.f32 x)) (*.f32 (log.f32 x) 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (log.f32 x) 5/2) (*.f32 (log.f32 x) 5/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 2 (log.f32 x)) (*.f32 3 (log.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 2 (log.f32 x)) (*.f32 (*.f32 3 (log.f32 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 3 (log.f32 x)) (*.f32 2 (log.f32 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (+.f32 (*.f32 (*.f32 3 (log.f32 x)) 1) (*.f32 2 (log.f32 x))))))))

simplify104.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

725×	`fma-def_binary32`
604×	`fma-neg_binary32`
362×	`distribute-rgt-in_binary32`
329×	`distribute-lft-in_binary32`
282×	`unswap-sqr_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	311	1994
1	714	1879
2	1965	1861
3	7970	1861

Stop Event

1×	node limit

Counts

134 → 154

Calls

Call 1

Inputs
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(*.f32 2/5 (pow.f32 x 5))
(*.f32 2/5 (pow.f32 x 5))
(+.f32 0 (*.f32 2/5 (pow.f32 x 5)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 2/5) (pow.f32 x 5))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 2/5) (pow.f32 x 5)))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 2/5) (pow.f32 x 5)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 2/5) (pow.f32 x 5)))))
(-.f32 (exp.f32 (log1p.f32 (*.f32 2/5 (pow.f32 x 5)))) 1)
(pow.f32 (*.f32 2/5 (pow.f32 x 5)) 1)
(pow.f32 (*.f32 (pow.f32 x 10) 4/25) 1/2)
(pow.f32 (cbrt.f32 (*.f32 2/5 (pow.f32 x 5))) 3)
(pow.f32 (*.f32 (sqrt.f32 2/5) (pow.f32 x 5/2)) 2)
(pow.f32 (*.f32 (pow.f32 x 15) 8/125) 1/3)
(pow.f32 (exp.f32 1) (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5))) 2)) (cbrt.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5))))
(pow.f32 (exp.f32 (sqrt.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)))) (sqrt.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5))))
(sqrt.f32 (*.f32 (pow.f32 x 10) 4/25))
(log.f32 (pow.f32 (exp.f32 2/5) (pow.f32 x 5)))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 2/5 (pow.f32 x 5)))))
(cbrt.f32 (*.f32 (pow.f32 x 15) 8/125))
(expm1.f32 (log1p.f32 (*.f32 2/5 (pow.f32 x 5))))
(log1p.f32 (expm1.f32 (*.f32 2/5 (pow.f32 x 5))))
(exp.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)))
(exp.f32 (*.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)) 1))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 2/5 (pow.f32 x 5)))) 3))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 2/5) (pow.f32 x 5/2))) 2))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 x 15) 8/125)) 1/3))
(exp.f32 (.f32 (.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)) 1) 1))
(exp.f32 (.f32 (.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)) 3) 1/3))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))))) 1)
(-.f32 (/.f32 (.f32 (pow.f32 x 6) 4/9) (fma.f32 2/3 (pow.f32 x 3) (.f32 -2/5 (pow.f32 x 5)))) (/.f32 (.f32 (pow.f32 x 10) 4/25) (fma.f32 2/3 (pow.f32 x 3) (.f32 -2/5 (pow.f32 x 5)))))
(.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3))) 1)
(.f32 1 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3))))
(.f32 (cbrt.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3)))) (pow.f32 (cbrt.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))) 2))
(.f32 (pow.f32 (cbrt.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3)))) 2) (cbrt.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))
(.f32 (sqrt.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3)))) (sqrt.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))
(.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (/.f32 1 (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3))))))
(.f32 (-.f32 (.f32 (pow.f32 x 6) 4/9) (.f32 (pow.f32 x 10) 4/25)) (/.f32 1 (fma.f32 2/3 (pow.f32 x 3) (.f32 -2/5 (pow.f32 x 5)))))
(/.f32 1 (/.f32 (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))) (fma.f32 (pow.f32 x 15) 8/125 (*.f32 (pow.f32 x 9) 8/27))))
(/.f32 1 (/.f32 (fma.f32 2/3 (pow.f32 x 3) (.f32 -2/5 (pow.f32 x 5))) (-.f32 (.f32 (pow.f32 x 6) 4/9) (*.f32 (pow.f32 x 10) 4/25))))
(/.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (.f32 2/5 (pow.f32 x 5)) (*.f32 2/3 (pow.f32 x 3)))))
(/.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (fma.f32 (pow.f32 x 10) 4/25 (-.f32 (.f32 (pow.f32 x 6) 4/9) (.f32 (.f32 2/5 (pow.f32 x 5)) (*.f32 2/3 (pow.f32 x 3))))))
(/.f32 (-.f32 (.f32 (pow.f32 x 6) 4/9) (.f32 (pow.f32 x 10) 4/25)) (fma.f32 2/3 (pow.f32 x 3) (*.f32 -2/5 (pow.f32 x 5))))
(/.f32 (neg.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27))) (neg.f32 (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (.f32 2/5 (pow.f32 x 5)) (*.f32 2/3 (pow.f32 x 3))))))
(/.f32 (neg.f32 (-.f32 (.f32 (pow.f32 x 6) 4/9) (.f32 (pow.f32 x 10) 4/25))) (neg.f32 (fma.f32 2/3 (pow.f32 x 3) (*.f32 -2/5 (pow.f32 x 5)))))
(/.f32 (-.f32 (.f32 (pow.f32 x 10) 4/25) (.f32 (pow.f32 x 6) 4/9)) (-.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3))))
(pow.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))) 1)
(pow.f32 (pow.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))) 2) 1/2)
(pow.f32 (pow.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))) 3) 1/3)
(pow.f32 (cbrt.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))) 3)
(pow.f32 (sqrt.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))) 2)
(pow.f32 (exp.f32 1) (log.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))
(pow.f32 (/.f32 (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))) (fma.f32 (pow.f32 x 15) 8/125 (*.f32 (pow.f32 x 9) 8/27))) -1)
(pow.f32 (/.f32 (fma.f32 2/3 (pow.f32 x 3) (.f32 -2/5 (pow.f32 x 5))) (-.f32 (.f32 (pow.f32 x 6) 4/9) (*.f32 (pow.f32 x 10) 4/25))) -1)
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3))))) 2)) (cbrt.f32 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3)))))) (sqrt.f32 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3))))))
(sqrt.f32 (pow.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))) 2))
(log.f32 (exp.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))))))
(log.f32 (.f32 (+.f32 1 (expm1.f32 (.f32 2/5 (pow.f32 x 5)))) (pow.f32 (exp.f32 2/3) (pow.f32 x 3))))
(log.f32 (.f32 (pow.f32 (exp.f32 2/5) (pow.f32 x 5)) (+.f32 1 (expm1.f32 (.f32 2/3 (pow.f32 x 3))))))
(log.f32 (.f32 (+.f32 1 (expm1.f32 (.f32 2/5 (pow.f32 x 5)))) (+.f32 1 (expm1.f32 (*.f32 2/3 (pow.f32 x 3))))))
(log.f32 (.f32 (+.f32 1 (expm1.f32 (.f32 2/3 (pow.f32 x 3)))) (pow.f32 (exp.f32 2/5) (pow.f32 x 5))))
(log.f32 (.f32 (pow.f32 (exp.f32 2/3) (pow.f32 x 3)) (+.f32 1 (expm1.f32 (.f32 2/5 (pow.f32 x 5))))))
(log.f32 (.f32 (+.f32 1 (expm1.f32 (.f32 2/3 (pow.f32 x 3)))) (+.f32 1 (expm1.f32 (*.f32 2/5 (pow.f32 x 5))))))
(cbrt.f32 (pow.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))) 3))
(expm1.f32 (log1p.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))
(log1p.f32 (expm1.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))
(exp.f32 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))
(exp.f32 (.f32 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3)))) 1))
(exp.f32 (.f32 (.f32 3 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))))) 1/3))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3))))) 3))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3))))) 2))
(exp.f32 (.f32 (.f32 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))) 1) 1))
(fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))
(fma.f32 x (.f32 (.f32 x x) 2/3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (pow.f32 x 5) 2/5 (*.f32 2/3 (pow.f32 x 3)))
(fma.f32 (.f32 2/5 (pow.f32 x 5)) 1 (.f32 2/3 (pow.f32 x 3)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (pow.f32 x 3) 2/3 (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (.f32 2/3 (pow.f32 x 3)) 1 (.f32 2/5 (pow.f32 x 5)))
(fma.f32 1 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 1 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))
(fma.f32 (.f32 x x) (.f32 x 2/3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (cbrt.f32 (pow.f32 x 10)) (.f32 (pow.f32 (cbrt.f32 x) 5) 2/5) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 (cbrt.f32 (.f32 2/5 (pow.f32 x 5))) (cbrt.f32 (.f32 (pow.f32 x 10) 4/25)) (*.f32 2/3 (pow.f32 x 3)))
(fma.f32 (cbrt.f32 (.f32 (pow.f32 x 10) 4/25)) (cbrt.f32 (.f32 2/5 (pow.f32 x 5))) (*.f32 2/3 (pow.f32 x 3)))
(fma.f32 (.f32 x (cbrt.f32 2/3)) (pow.f32 (.f32 x (cbrt.f32 2/3)) 2) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (pow.f32 (.f32 x (cbrt.f32 2/3)) 2) (.f32 x (cbrt.f32 2/3)) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (.f32 (sqrt.f32 2/5) (pow.f32 x 5/2)) (.f32 (sqrt.f32 2/5) (pow.f32 x 5/2)) (*.f32 2/3 (pow.f32 x 3)))
(fma.f32 (pow.f32 (.f32 x (cbrt.f32 2/3)) 3/2) (pow.f32 (.f32 x (cbrt.f32 2/3)) 3/2) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (pow.f32 x 5/2) (.f32 (pow.f32 x 5/2) 2/5) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 (pow.f32 x 3/2) (.f32 (pow.f32 x 3/2) 2/3) (.f32 2/5 (pow.f32 x 5)))
(fma.f32 (.f32 2/5 (cbrt.f32 (pow.f32 x 10))) (pow.f32 (cbrt.f32 x) 5) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 (.f32 2/5 (pow.f32 x 5/2)) (pow.f32 x 5/2) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 (.f32 2/3 x) (.f32 x x) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (.f32 2/3 (.f32 x x)) x (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (.f32 2/3 (pow.f32 x 3/2)) (pow.f32 x 3/2) (.f32 2/5 (pow.f32 x 5)))
(+.f32 0 (pow.f32 x 5))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 x 5))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 x 5)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 x 5)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 x 5)))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 x 5))) 1)
(*.f32 (pow.f32 x 5) 1)
(.f32 (pow.f32 x 3) (.f32 x x))
(*.f32 1 (pow.f32 x 5))
(.f32 (.f32 x x) (pow.f32 x 3))
(*.f32 (pow.f32 (cbrt.f32 x) 5) (cbrt.f32 (pow.f32 x 10)))
(*.f32 (cbrt.f32 (pow.f32 x 10)) (pow.f32 (cbrt.f32 x) 5))
(*.f32 (pow.f32 x 5/2) (pow.f32 x 5/2))
(*.f32 (pow.f32 (cbrt.f32 x) 10) (pow.f32 (cbrt.f32 x) 5))
(sqrt.f32 (pow.f32 x 10))
(log.f32 (exp.f32 (pow.f32 x 5)))
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 x 5))))
(cbrt.f32 (pow.f32 x 15))
(expm1.f32 (log1p.f32 (pow.f32 x 5)))
(log1p.f32 (expm1.f32 (pow.f32 x 5)))
(exp.f32 (*.f32 5 (log.f32 x)))
(exp.f32 (.f32 (.f32 5 (log.f32 x)) 1))
(exp.f32 (*.f32 (log.f32 (pow.f32 x 15)) 1/3))
(exp.f32 (.f32 (.f32 2 (log.f32 x)) 5/2))
(exp.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 x) 5)) 3))
(exp.f32 (.f32 (.f32 5/2 (log.f32 x)) 2))
(exp.f32 (.f32 (.f32 (log.f32 x) 1) 5))
(exp.f32 (.f32 (.f32 (*.f32 5 (log.f32 x)) 1) 1))
(exp.f32 (.f32 (.f32 (log.f32 x) 5/2) 2))
(exp.f32 (+.f32 (.f32 (log.f32 x) 5/2) (.f32 5/2 (log.f32 x))))
(exp.f32 (+.f32 (.f32 5/2 (log.f32 x)) (.f32 (log.f32 x) 5/2)))
(exp.f32 (+.f32 (.f32 (log.f32 x) 5/2) (.f32 (log.f32 x) 5/2)))
(exp.f32 (+.f32 (.f32 2 (log.f32 x)) (.f32 3 (log.f32 x))))
(exp.f32 (+.f32 (.f32 2 (log.f32 x)) (.f32 (*.f32 3 (log.f32 x)) 1)))
(exp.f32 (+.f32 (.f32 3 (log.f32 x)) (.f32 2 (log.f32 x))))
(exp.f32 (+.f32 (.f32 (.f32 3 (log.f32 x)) 1) (*.f32 2 (log.f32 x))))

Outputs
(*.f32 2/3 (pow.f32 x 3))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(*.f32 2/5 (pow.f32 x 5))
(*.f32 2/5 (pow.f32 x 5))
(+.f32 0 (*.f32 2/5 (pow.f32 x 5)))
(*.f32 2/5 (pow.f32 x 5))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 2/5) (pow.f32 x 5))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 2/5) (pow.f32 x 5)))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 2/5) (pow.f32 x 5))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 2/5) (pow.f32 x 5)))))
(*.f32 3 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 2/5) (pow.f32 x 5)))))
(+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 2/5) (pow.f32 x 5)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 2/5) (pow.f32 x 5)))))
(*.f32 2/5 (pow.f32 x 5))
(-.f32 (exp.f32 (log1p.f32 (*.f32 2/5 (pow.f32 x 5)))) 1)
(*.f32 2/5 (pow.f32 x 5))
(pow.f32 (*.f32 2/5 (pow.f32 x 5)) 1)
(*.f32 2/5 (pow.f32 x 5))
(pow.f32 (*.f32 (pow.f32 x 10) 4/25) 1/2)
(sqrt.f32 (*.f32 (pow.f32 x 10) 4/25))
(pow.f32 (cbrt.f32 (*.f32 2/5 (pow.f32 x 5))) 3)
(*.f32 2/5 (pow.f32 x 5))
(pow.f32 (*.f32 (sqrt.f32 2/5) (pow.f32 x 5/2)) 2)
(*.f32 2/5 (pow.f32 x 5))
(pow.f32 (*.f32 (pow.f32 x 15) 8/125) 1/3)
(cbrt.f32 (*.f32 (pow.f32 x 15) 8/125))
(pow.f32 (exp.f32 1) (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)))
(pow.f32 (E.f32) (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)))
(*.f32 (pow.f32 x 5) (exp.f32 (log1p.f32 -3/5)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5))) 2)) (cbrt.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5))))
(pow.f32 (exp.f32 (sqrt.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)))) (sqrt.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5))))
(sqrt.f32 (*.f32 (pow.f32 x 10) 4/25))
(log.f32 (pow.f32 (exp.f32 2/5) (pow.f32 x 5)))
(*.f32 2/5 (pow.f32 x 5))
(log.f32 (+.f32 1 (expm1.f32 (*.f32 2/5 (pow.f32 x 5)))))
(*.f32 2/5 (pow.f32 x 5))
(cbrt.f32 (*.f32 (pow.f32 x 15) 8/125))
(expm1.f32 (log1p.f32 (*.f32 2/5 (pow.f32 x 5))))
(*.f32 2/5 (pow.f32 x 5))
(log1p.f32 (expm1.f32 (*.f32 2/5 (pow.f32 x 5))))
(*.f32 2/5 (pow.f32 x 5))
(exp.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)))
(pow.f32 (E.f32) (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)))
(*.f32 (pow.f32 x 5) (exp.f32 (log1p.f32 -3/5)))
(exp.f32 (*.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)) 1))
(pow.f32 (E.f32) (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)))
(*.f32 (pow.f32 x 5) (exp.f32 (log1p.f32 -3/5)))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 2/5 (pow.f32 x 5)))) 3))
(*.f32 2/5 (pow.f32 x 5))
(exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 2/5) (pow.f32 x 5/2))) 2))
(*.f32 2/5 (pow.f32 x 5))
(exp.f32 (.f32 (log.f32 (.f32 (pow.f32 x 15) 8/125)) 1/3))
(cbrt.f32 (*.f32 (pow.f32 x 15) 8/125))
(exp.f32 (.f32 (.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)) 1) 1))
(pow.f32 (E.f32) (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)))
(*.f32 (pow.f32 x 5) (exp.f32 (log1p.f32 -3/5)))
(exp.f32 (.f32 (.f32 (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)) 3) 1/3))
(pow.f32 (E.f32) (fma.f32 5 (log.f32 x) (log1p.f32 -3/5)))
(*.f32 (pow.f32 x 5) (exp.f32 (log1p.f32 -3/5)))
(-.f32 (exp.f32 (log1p.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))))) 1)
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(-.f32 (/.f32 (.f32 (pow.f32 x 6) 4/9) (fma.f32 2/3 (pow.f32 x 3) (.f32 -2/5 (pow.f32 x 5)))) (/.f32 (.f32 (pow.f32 x 10) 4/25) (fma.f32 2/3 (pow.f32 x 3) (.f32 -2/5 (pow.f32 x 5)))))
(/.f32 (-.f32 (.f32 (pow.f32 x 6) 4/9) (.f32 (pow.f32 x 10) 4/25)) (fma.f32 2/3 (pow.f32 x 3) (*.f32 (pow.f32 x 5) -2/5)))
(/.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) -4/25)) (fma.f32 2/3 (pow.f32 x 3) (.f32 (pow.f32 x 5) -2/5)))
(/.f32 (fma.f32 (pow.f32 x 10) -4/25 (.f32 (pow.f32 x 6) 4/9)) (fma.f32 2/3 (pow.f32 x 3) (.f32 (pow.f32 x 5) -2/5)))
(.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3))) 1)
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(.f32 1 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3))))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(.f32 (cbrt.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3)))) (pow.f32 (cbrt.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))) 2))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(.f32 (pow.f32 (cbrt.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3)))) 2) (cbrt.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(.f32 (sqrt.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3)))) (sqrt.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (/.f32 1 (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3))))))
(.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (/.f32 1 (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5))))))
(/.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (pow.f32 x 3) (.f32 (pow.f32 x 5) 4/15))))
(/.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (fma.f32 (pow.f32 x 10) 4/25 (fma.f32 (.f32 (pow.f32 x 5) -4/15) (pow.f32 x 3) (*.f32 (pow.f32 x 6) 4/9))))
(/.f32 (fma.f32 (pow.f32 x 15) -8/125 (.f32 (pow.f32 x 9) -8/27)) (fma.f32 (pow.f32 x 3) (.f32 (pow.f32 x 5) 4/15) (fma.f32 (pow.f32 x 10) -4/25 (*.f32 (pow.f32 x 6) -4/9))))
(.f32 (-.f32 (.f32 (pow.f32 x 6) 4/9) (.f32 (pow.f32 x 10) 4/25)) (/.f32 1 (fma.f32 2/3 (pow.f32 x 3) (.f32 -2/5 (pow.f32 x 5)))))
(/.f32 (-.f32 (.f32 (pow.f32 x 6) 4/9) (.f32 (pow.f32 x 10) 4/25)) (fma.f32 2/3 (pow.f32 x 3) (*.f32 (pow.f32 x 5) -2/5)))
(/.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) -4/25)) (fma.f32 2/3 (pow.f32 x 3) (.f32 (pow.f32 x 5) -2/5)))
(/.f32 (fma.f32 (pow.f32 x 10) -4/25 (.f32 (pow.f32 x 6) 4/9)) (fma.f32 2/3 (pow.f32 x 3) (.f32 (pow.f32 x 5) -2/5)))
(/.f32 1 (/.f32 (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))) (fma.f32 (pow.f32 x 15) 8/125 (*.f32 (pow.f32 x 9) 8/27))))
(.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (/.f32 1 (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5))))))
(/.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (pow.f32 x 3) (.f32 (pow.f32 x 5) 4/15))))
(/.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (fma.f32 (pow.f32 x 10) 4/25 (fma.f32 (.f32 (pow.f32 x 5) -4/15) (pow.f32 x 3) (*.f32 (pow.f32 x 6) 4/9))))
(/.f32 (fma.f32 (pow.f32 x 15) -8/125 (.f32 (pow.f32 x 9) -8/27)) (fma.f32 (pow.f32 x 3) (.f32 (pow.f32 x 5) 4/15) (fma.f32 (pow.f32 x 10) -4/25 (*.f32 (pow.f32 x 6) -4/9))))
(/.f32 1 (/.f32 (fma.f32 2/3 (pow.f32 x 3) (.f32 -2/5 (pow.f32 x 5))) (-.f32 (.f32 (pow.f32 x 6) 4/9) (*.f32 (pow.f32 x 10) 4/25))))
(/.f32 (-.f32 (.f32 (pow.f32 x 6) 4/9) (.f32 (pow.f32 x 10) 4/25)) (fma.f32 2/3 (pow.f32 x 3) (*.f32 (pow.f32 x 5) -2/5)))
(/.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) -4/25)) (fma.f32 2/3 (pow.f32 x 3) (.f32 (pow.f32 x 5) -2/5)))
(/.f32 (fma.f32 (pow.f32 x 10) -4/25 (.f32 (pow.f32 x 6) 4/9)) (fma.f32 2/3 (pow.f32 x 3) (.f32 (pow.f32 x 5) -2/5)))
(/.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (.f32 2/5 (pow.f32 x 5)) (*.f32 2/3 (pow.f32 x 3)))))
(.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (/.f32 1 (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5))))))
(/.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (pow.f32 x 3) (.f32 (pow.f32 x 5) 4/15))))
(/.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (fma.f32 (pow.f32 x 10) 4/25 (fma.f32 (.f32 (pow.f32 x 5) -4/15) (pow.f32 x 3) (*.f32 (pow.f32 x 6) 4/9))))
(/.f32 (fma.f32 (pow.f32 x 15) -8/125 (.f32 (pow.f32 x 9) -8/27)) (fma.f32 (pow.f32 x 3) (.f32 (pow.f32 x 5) 4/15) (fma.f32 (pow.f32 x 10) -4/25 (*.f32 (pow.f32 x 6) -4/9))))
(/.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (fma.f32 (pow.f32 x 10) 4/25 (-.f32 (.f32 (pow.f32 x 6) 4/9) (.f32 (.f32 2/5 (pow.f32 x 5)) (*.f32 2/3 (pow.f32 x 3))))))
(.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (/.f32 1 (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5))))))
(/.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (pow.f32 x 3) (.f32 (pow.f32 x 5) 4/15))))
(/.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (fma.f32 (pow.f32 x 10) 4/25 (fma.f32 (.f32 (pow.f32 x 5) -4/15) (pow.f32 x 3) (*.f32 (pow.f32 x 6) 4/9))))
(/.f32 (fma.f32 (pow.f32 x 15) -8/125 (.f32 (pow.f32 x 9) -8/27)) (fma.f32 (pow.f32 x 3) (.f32 (pow.f32 x 5) 4/15) (fma.f32 (pow.f32 x 10) -4/25 (*.f32 (pow.f32 x 6) -4/9))))
(/.f32 (-.f32 (.f32 (pow.f32 x 6) 4/9) (.f32 (pow.f32 x 10) 4/25)) (fma.f32 2/3 (pow.f32 x 3) (*.f32 -2/5 (pow.f32 x 5))))
(/.f32 (-.f32 (.f32 (pow.f32 x 6) 4/9) (.f32 (pow.f32 x 10) 4/25)) (fma.f32 2/3 (pow.f32 x 3) (*.f32 (pow.f32 x 5) -2/5)))
(/.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) -4/25)) (fma.f32 2/3 (pow.f32 x 3) (.f32 (pow.f32 x 5) -2/5)))
(/.f32 (fma.f32 (pow.f32 x 10) -4/25 (.f32 (pow.f32 x 6) 4/9)) (fma.f32 2/3 (pow.f32 x 3) (.f32 (pow.f32 x 5) -2/5)))
(/.f32 (neg.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27))) (neg.f32 (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (.f32 2/5 (pow.f32 x 5)) (*.f32 2/3 (pow.f32 x 3))))))
(.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (/.f32 1 (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5))))))
(/.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (pow.f32 x 3) (.f32 (pow.f32 x 5) 4/15))))
(/.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (fma.f32 (pow.f32 x 10) 4/25 (fma.f32 (.f32 (pow.f32 x 5) -4/15) (pow.f32 x 3) (*.f32 (pow.f32 x 6) 4/9))))
(/.f32 (fma.f32 (pow.f32 x 15) -8/125 (.f32 (pow.f32 x 9) -8/27)) (fma.f32 (pow.f32 x 3) (.f32 (pow.f32 x 5) 4/15) (fma.f32 (pow.f32 x 10) -4/25 (*.f32 (pow.f32 x 6) -4/9))))
(/.f32 (neg.f32 (-.f32 (.f32 (pow.f32 x 6) 4/9) (.f32 (pow.f32 x 10) 4/25))) (neg.f32 (fma.f32 2/3 (pow.f32 x 3) (*.f32 -2/5 (pow.f32 x 5)))))
(/.f32 (-.f32 (.f32 (pow.f32 x 6) 4/9) (.f32 (pow.f32 x 10) 4/25)) (fma.f32 2/3 (pow.f32 x 3) (*.f32 (pow.f32 x 5) -2/5)))
(/.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) -4/25)) (fma.f32 2/3 (pow.f32 x 3) (.f32 (pow.f32 x 5) -2/5)))
(/.f32 (fma.f32 (pow.f32 x 10) -4/25 (.f32 (pow.f32 x 6) 4/9)) (fma.f32 2/3 (pow.f32 x 3) (.f32 (pow.f32 x 5) -2/5)))
(/.f32 (-.f32 (.f32 (pow.f32 x 10) 4/25) (.f32 (pow.f32 x 6) 4/9)) (-.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3))))
(/.f32 (-.f32 (.f32 (pow.f32 x 6) 4/9) (.f32 (pow.f32 x 10) 4/25)) (fma.f32 2/3 (pow.f32 x 3) (*.f32 (pow.f32 x 5) -2/5)))
(/.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) -4/25)) (fma.f32 2/3 (pow.f32 x 3) (.f32 (pow.f32 x 5) -2/5)))
(/.f32 (fma.f32 (pow.f32 x 10) -4/25 (.f32 (pow.f32 x 6) 4/9)) (fma.f32 2/3 (pow.f32 x 3) (.f32 (pow.f32 x 5) -2/5)))
(pow.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))) 1)
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(pow.f32 (pow.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))) 2) 1/2)
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(pow.f32 (pow.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))) 3) 1/3)
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(pow.f32 (cbrt.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))) 3)
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(pow.f32 (sqrt.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))) 2)
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(pow.f32 (exp.f32 1) (log.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(pow.f32 (/.f32 (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))) (fma.f32 (pow.f32 x 15) 8/125 (*.f32 (pow.f32 x 9) 8/27))) -1)
(.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (/.f32 1 (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5))))))
(/.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (-.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) 4/25)) (.f32 (pow.f32 x 3) (.f32 (pow.f32 x 5) 4/15))))
(/.f32 (fma.f32 (pow.f32 x 15) 8/125 (.f32 (pow.f32 x 9) 8/27)) (fma.f32 (pow.f32 x 10) 4/25 (fma.f32 (.f32 (pow.f32 x 5) -4/15) (pow.f32 x 3) (*.f32 (pow.f32 x 6) 4/9))))
(/.f32 (fma.f32 (pow.f32 x 15) -8/125 (.f32 (pow.f32 x 9) -8/27)) (fma.f32 (pow.f32 x 3) (.f32 (pow.f32 x 5) 4/15) (fma.f32 (pow.f32 x 10) -4/25 (*.f32 (pow.f32 x 6) -4/9))))
(pow.f32 (/.f32 (fma.f32 2/3 (pow.f32 x 3) (.f32 -2/5 (pow.f32 x 5))) (-.f32 (.f32 (pow.f32 x 6) 4/9) (*.f32 (pow.f32 x 10) 4/25))) -1)
(/.f32 (-.f32 (.f32 (pow.f32 x 6) 4/9) (.f32 (pow.f32 x 10) 4/25)) (fma.f32 2/3 (pow.f32 x 3) (*.f32 (pow.f32 x 5) -2/5)))
(/.f32 (fma.f32 (pow.f32 x 6) 4/9 (.f32 (pow.f32 x 10) -4/25)) (fma.f32 2/3 (pow.f32 x 3) (.f32 (pow.f32 x 5) -2/5)))
(/.f32 (fma.f32 (pow.f32 x 10) -4/25 (.f32 (pow.f32 x 6) 4/9)) (fma.f32 2/3 (pow.f32 x 3) (.f32 (pow.f32 x 5) -2/5)))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3))))) 2)) (cbrt.f32 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3))))))
(pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 2/3 (pow.f32 x 3) (.f32 2/5 (pow.f32 x 5))))) 2)) (cbrt.f32 (log.f32 (fma.f32 2/3 (pow.f32 x 3) (.f32 2/5 (pow.f32 x 5))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3)))))) (sqrt.f32 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3))))))
(pow.f32 (exp.f32 (sqrt.f32 (log.f32 (fma.f32 2/3 (pow.f32 x 3) (.f32 2/5 (pow.f32 x 5)))))) (sqrt.f32 (log.f32 (fma.f32 2/3 (pow.f32 x 3) (.f32 2/5 (pow.f32 x 5))))))
(sqrt.f32 (pow.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))) 2))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(log.f32 (exp.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(log.f32 (+.f32 1 (expm1.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))))))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(log.f32 (.f32 (+.f32 1 (expm1.f32 (.f32 2/5 (pow.f32 x 5)))) (pow.f32 (exp.f32 2/3) (pow.f32 x 3))))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(log.f32 (.f32 (pow.f32 (exp.f32 2/5) (pow.f32 x 5)) (+.f32 1 (expm1.f32 (.f32 2/3 (pow.f32 x 3))))))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(log.f32 (.f32 (+.f32 1 (expm1.f32 (.f32 2/5 (pow.f32 x 5)))) (+.f32 1 (expm1.f32 (*.f32 2/3 (pow.f32 x 3))))))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(log.f32 (.f32 (+.f32 1 (expm1.f32 (.f32 2/3 (pow.f32 x 3)))) (pow.f32 (exp.f32 2/5) (pow.f32 x 5))))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(log.f32 (.f32 (pow.f32 (exp.f32 2/3) (pow.f32 x 3)) (+.f32 1 (expm1.f32 (.f32 2/5 (pow.f32 x 5))))))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(log.f32 (.f32 (+.f32 1 (expm1.f32 (.f32 2/3 (pow.f32 x 3)))) (+.f32 1 (expm1.f32 (*.f32 2/5 (pow.f32 x 5))))))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(cbrt.f32 (pow.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))) 3))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(expm1.f32 (log1p.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(log1p.f32 (expm1.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(exp.f32 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(exp.f32 (.f32 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3)))) 1))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(exp.f32 (.f32 (.f32 3 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3))))) 1/3))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(exp.f32 (.f32 (log.f32 (cbrt.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3))))) 3))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(exp.f32 (.f32 (log.f32 (sqrt.f32 (fma.f32 2/5 (pow.f32 x 5) (.f32 2/3 (pow.f32 x 3))))) 2))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(exp.f32 (.f32 (.f32 (log.f32 (fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))) 1) 1))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 2/5 (pow.f32 x 5) (*.f32 2/3 (pow.f32 x 3)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 x (.f32 (.f32 x x) 2/3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (pow.f32 x 5) 2/5 (*.f32 2/3 (pow.f32 x 3)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (.f32 2/5 (pow.f32 x 5)) 1 (.f32 2/3 (pow.f32 x 3)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (pow.f32 x 3) 2/3 (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (.f32 2/3 (pow.f32 x 3)) 1 (.f32 2/5 (pow.f32 x 5)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 1 (.f32 2/5 (pow.f32 x 5)) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 1 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (.f32 x x) (.f32 x 2/3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (cbrt.f32 (pow.f32 x 10)) (.f32 (pow.f32 (cbrt.f32 x) 5) 2/5) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 (cbrt.f32 (pow.f32 x 10)) (.f32 2/5 (pow.f32 (cbrt.f32 x) 5)) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 2/3 (pow.f32 x 3) (.f32 2/5 (.f32 (cbrt.f32 (pow.f32 x 10)) (pow.f32 (cbrt.f32 x) 5))))
(fma.f32 (cbrt.f32 (.f32 2/5 (pow.f32 x 5))) (cbrt.f32 (.f32 (pow.f32 x 10) 4/25)) (*.f32 2/3 (pow.f32 x 3)))
(fma.f32 2/3 (pow.f32 x 3) (.f32 (cbrt.f32 (.f32 2/5 (pow.f32 x 5))) (cbrt.f32 (*.f32 (pow.f32 x 10) 4/25))))
(fma.f32 (cbrt.f32 (.f32 (pow.f32 x 10) 4/25)) (cbrt.f32 (.f32 2/5 (pow.f32 x 5))) (*.f32 2/3 (pow.f32 x 3)))
(fma.f32 (cbrt.f32 (.f32 2/5 (pow.f32 x 5))) (cbrt.f32 (.f32 (pow.f32 x 10) 4/25)) (*.f32 2/3 (pow.f32 x 3)))
(fma.f32 2/3 (pow.f32 x 3) (.f32 (cbrt.f32 (.f32 2/5 (pow.f32 x 5))) (cbrt.f32 (*.f32 (pow.f32 x 10) 4/25))))
(fma.f32 (.f32 x (cbrt.f32 2/3)) (pow.f32 (.f32 x (cbrt.f32 2/3)) 2) (*.f32 2/5 (pow.f32 x 5)))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (pow.f32 (.f32 x (cbrt.f32 2/3)) 3))
(fma.f32 2/5 (pow.f32 x 5) (pow.f32 (*.f32 x (cbrt.f32 2/3)) 3))
(fma.f32 (pow.f32 (.f32 x (cbrt.f32 2/3)) 2) (.f32 x (cbrt.f32 2/3)) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (.f32 x (cbrt.f32 2/3)) (pow.f32 (.f32 x (cbrt.f32 2/3)) 2) (*.f32 2/5 (pow.f32 x 5)))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (pow.f32 (.f32 x (cbrt.f32 2/3)) 3))
(fma.f32 2/5 (pow.f32 x 5) (pow.f32 (*.f32 x (cbrt.f32 2/3)) 3))
(fma.f32 (.f32 (sqrt.f32 2/5) (pow.f32 x 5/2)) (.f32 (sqrt.f32 2/5) (pow.f32 x 5/2)) (*.f32 2/3 (pow.f32 x 3)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (pow.f32 (.f32 x (cbrt.f32 2/3)) 3/2) (pow.f32 (.f32 x (cbrt.f32 2/3)) 3/2) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (.f32 x (cbrt.f32 2/3)) (pow.f32 (.f32 x (cbrt.f32 2/3)) 2) (*.f32 2/5 (pow.f32 x 5)))
(+.f32 (.f32 2/5 (pow.f32 x 5)) (pow.f32 (.f32 x (cbrt.f32 2/3)) 3))
(fma.f32 2/5 (pow.f32 x 5) (pow.f32 (*.f32 x (cbrt.f32 2/3)) 3))
(fma.f32 (pow.f32 x 5/2) (.f32 (pow.f32 x 5/2) 2/5) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (pow.f32 x 3/2) (.f32 (pow.f32 x 3/2) 2/3) (.f32 2/5 (pow.f32 x 5)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (.f32 2/5 (cbrt.f32 (pow.f32 x 10))) (pow.f32 (cbrt.f32 x) 5) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 (cbrt.f32 (pow.f32 x 10)) (.f32 2/5 (pow.f32 (cbrt.f32 x) 5)) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 2/3 (pow.f32 x 3) (.f32 2/5 (.f32 (cbrt.f32 (pow.f32 x 10)) (pow.f32 (cbrt.f32 x) 5))))
(fma.f32 (.f32 2/5 (pow.f32 x 5/2)) (pow.f32 x 5/2) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (.f32 2/3 x) (.f32 x x) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (.f32 2/3 (.f32 x x)) x (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(fma.f32 (.f32 2/3 (pow.f32 x 3/2)) (pow.f32 x 3/2) (.f32 2/5 (pow.f32 x 5)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))
(+.f32 0 (pow.f32 x 5))
(pow.f32 x 5)
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 x 5))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 x 5)))))
(*.f32 3 (log.f32 (cbrt.f32 (exp.f32 (pow.f32 x 5)))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 x 5)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 x 5)))))
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 x 5)))))
(-.f32 (exp.f32 (log1p.f32 (pow.f32 x 5))) 1)
(pow.f32 x 5)
(*.f32 (pow.f32 x 5) 1)
(pow.f32 x 5)
(.f32 (pow.f32 x 3) (.f32 x x))
(pow.f32 x 5)
(*.f32 1 (pow.f32 x 5))
(pow.f32 x 5)
(.f32 (.f32 x x) (pow.f32 x 3))
(pow.f32 x 5)
(*.f32 (pow.f32 (cbrt.f32 x) 5) (cbrt.f32 (pow.f32 x 10)))
(*.f32 (cbrt.f32 (pow.f32 x 10)) (pow.f32 (cbrt.f32 x) 5))
(*.f32 (cbrt.f32 (pow.f32 x 10)) (pow.f32 (cbrt.f32 x) 5))
(*.f32 (pow.f32 x 5/2) (pow.f32 x 5/2))
(pow.f32 x 5)
(*.f32 (pow.f32 (cbrt.f32 x) 10) (pow.f32 (cbrt.f32 x) 5))
(*.f32 (pow.f32 (cbrt.f32 x) 5) (pow.f32 (cbrt.f32 x) 10))
(pow.f32 (pow.f32 (cbrt.f32 x) 5) 3)
(sqrt.f32 (pow.f32 x 10))
(pow.f32 x 5)
(log.f32 (exp.f32 (pow.f32 x 5)))
(pow.f32 x 5)
(log.f32 (+.f32 1 (expm1.f32 (pow.f32 x 5))))
(pow.f32 x 5)
(cbrt.f32 (pow.f32 x 15))
(pow.f32 x 5)
(expm1.f32 (log1p.f32 (pow.f32 x 5)))
(pow.f32 x 5)
(log1p.f32 (expm1.f32 (pow.f32 x 5)))
(pow.f32 x 5)
(exp.f32 (*.f32 5 (log.f32 x)))
(pow.f32 x 5)
(exp.f32 (.f32 (.f32 5 (log.f32 x)) 1))
(pow.f32 x 5)
(exp.f32 (*.f32 (log.f32 (pow.f32 x 15)) 1/3))
(pow.f32 x 5)
(exp.f32 (.f32 (.f32 2 (log.f32 x)) 5/2))
(pow.f32 x 5)
(exp.f32 (*.f32 (log.f32 (pow.f32 (cbrt.f32 x) 5)) 3))
(*.f32 (pow.f32 (cbrt.f32 x) 5) (pow.f32 (cbrt.f32 x) 10))
(pow.f32 (pow.f32 (cbrt.f32 x) 5) 3)
(exp.f32 (.f32 (.f32 5/2 (log.f32 x)) 2))
(pow.f32 x 5)
(exp.f32 (.f32 (.f32 (log.f32 x) 1) 5))
(pow.f32 x 5)
(exp.f32 (.f32 (.f32 (*.f32 5 (log.f32 x)) 1) 1))
(pow.f32 x 5)
(exp.f32 (.f32 (.f32 (log.f32 x) 5/2) 2))
(pow.f32 x 5)
(exp.f32 (+.f32 (.f32 (log.f32 x) 5/2) (.f32 5/2 (log.f32 x))))
(pow.f32 x 5)
(exp.f32 (+.f32 (.f32 5/2 (log.f32 x)) (.f32 (log.f32 x) 5/2)))
(pow.f32 x 5)
(exp.f32 (+.f32 (.f32 (log.f32 x) 5/2) (.f32 (log.f32 x) 5/2)))
(pow.f32 x 5)
(exp.f32 (+.f32 (.f32 2 (log.f32 x)) (.f32 3 (log.f32 x))))
(pow.f32 x 5)
(exp.f32 (+.f32 (.f32 2 (log.f32 x)) (.f32 (*.f32 3 (log.f32 x)) 1)))
(pow.f32 x 5)
(exp.f32 (+.f32 (.f32 3 (log.f32 x)) (.f32 2 (log.f32 x))))
(pow.f32 x 5)
(exp.f32 (+.f32 (.f32 (.f32 3 (log.f32 x)) 1) (*.f32 2 (log.f32 x))))
(pow.f32 x 5)

localize101.0ms (2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f32 2 (fma.f32 x (neg.f32 x) 1))
✓	0.0b	(log1p.f32 (log1p.f32 (*.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))
✓	0.0b	(*.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))
✓	25.0b	(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))) 1)

Compiler

Compiled 113 to 60 computations (46.9% saved)

series8.0ms (0.2%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	x	@	inf	(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))) 1)
1.0ms	x	@	inf	(/.f32 2 (fma.f32 x (neg.f32 x) 1))
1.0ms	x	@	0	(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))) 1)
1.0ms	x	@	-inf	(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (*.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))) 1)
0.0ms	x	@	inf	(log1p.f32 (log1p.f32 (*.f32 (/.f32 2 (fma.f32 x (neg.f32 x) 1)) (fma.f32 x x x))))

rewrite70.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

588×	`prod-diff_binary32`
496×	`log-prod_binary32`
315×	`pow-prod-down_binary32`
272×	`pow2_binary32`
192×	`log1p-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	67
1	271	59
2	3147	59

Stop Event

1×	node limit

Counts

4 → 133

Calls

Call 1

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

Outputs
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simplify85.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

461×	`unswap-sqr_binary32`
332×	`log-prod_binary32`
285×	`times-frac_binary32`
275×	`fma-neg_binary32`
248×	`fma-def_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	413	4203
1	1055	4010
2	3894	3992

Stop Event

1×	node limit

Counts

181 → 268

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 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (/.f32 (.f32 (-.f32 (.f32 1/6 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1)))))) (.f32 8/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 3))))
(+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (/.f32 (.f32 (-.f32 (.f32 1/6 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1)))))) (.f32 8/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 3)) (/.f32 (.f32 (-.f32 (+.f32 (.f32 -1/24 (+.f32 (.f32 96 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 4))) (.f32 32 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 2))))) (.f32 1/3 (/.f32 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1))))) (+.f32 1 (log.f32 -1))))) (.f32 4/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 4)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 4)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 (.f32 -1/6 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1)))))) (.f32 8/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 3))) (+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x))))
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(+.f32 0 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))))
(+.f32 (.f32 2 (.f32 1/3 (log1p.f32 (log1p.f32 (/.f32 (.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))))) (.f32 1/3 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))))
(+.f32 (.f32 2 (.f32 1/3 (log1p.f32 (log1p.f32 (/.f32 (.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))))) (log.f32 (.f32 (cbrt.f32 (+.f32 1 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))) 1)))
(+.f32 (.f32 1/2 (log1p.f32 (log1p.f32 (/.f32 (.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))) (.f32 1/2 (log1p.f32 (log1p.f32 (/.f32 (.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))))
(+.f32 (.f32 1/2 (log1p.f32 (log1p.f32 (/.f32 (.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))) (log.f32 (.f32 (sqrt.f32 (+.f32 1 (log1p.f32 (/.f32 (.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))) 1)))
(+.f32 (.f32 1/3 (log1p.f32 (log1p.f32 (/.f32 (.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))) (.f32 2 (.f32 1/3 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))))))
(-.f32 (log1p.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (log1p.f32 (/.f32 (.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))) 2) (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))))))
(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))))) 1)
(-.f32 (log.f32 (-.f32 1 (pow.f32 (log1p.f32 (/.f32 (.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))) 2))) (log.f32 (-.f32 1 (log1p.f32 (/.f32 (.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))))
(.f32 2 (.f32 1/2 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))))
(.f32 1 (log1p.f32 (log1p.f32 (/.f32 (.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))))
(.f32 (log1p.f32 (log1p.f32 (/.f32 (.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))) 1)
(.f32 (cbrt.f32 (log1p.f32 (log1p.f32 (/.f32 (.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))) (cbrt.f32 (pow.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))) 2)))
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 (log1p.f32 (/.f32 (.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))) 2)) (cbrt.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))))
(.f32 (sqrt.f32 (log1p.f32 (log1p.f32 (/.f32 (.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))) (sqrt.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))))
(.f32 3 (.f32 1/3 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))))
(.f32 1/3 (.f32 3 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))))
(pow.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))) 1)
(pow.f32 (pow.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))) 2)
(sqrt.f32 (pow.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))) 2))
(log.f32 (+.f32 1 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))))
(cbrt.f32 (pow.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))))
(exp.f32 (log.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (log1p.f32 (/.f32 (.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))) 1))
(+.f32 0 (/.f32 2 (fma.f32 x x 1)))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 2 (fma.f32 x x 1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 2 (fma.f32 x x 1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 2 (fma.f32 x x 1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 2 (fma.f32 x x 1))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 2 (fma.f32 x x 1)))) 1)
(*.f32 2 (pow.f32 (hypot.f32 1 x) -2))
(*.f32 1 (/.f32 2 (fma.f32 x x 1)))
(*.f32 (/.f32 2 (fma.f32 x x 1)) 1)
(*.f32 (cbrt.f32 (/.f32 2 (fma.f32 x x 1))) (cbrt.f32 (/.f32 4 (pow.f32 (hypot.f32 1 x) 4))))
(*.f32 (cbrt.f32 (/.f32 4 (pow.f32 (hypot.f32 1 x) 4))) (cbrt.f32 (/.f32 2 (fma.f32 x x 1))))
(*.f32 (/.f32 (sqrt.f32 2) (hypot.f32 1 x)) (/.f32 (sqrt.f32 2) (hypot.f32 1 x)))
(*.f32 -2 (/.f32 1 (fma.f32 x x -1)))
(*.f32 (pow.f32 (hypot.f32 1 x) -2) 2)
(pow.f32 (/.f32 2 (fma.f32 x x 1)) 1)
(pow.f32 (/.f32 4 (pow.f32 (hypot.f32 1 x) 4)) 1/2)
(pow.f32 (pow.f32 (*.f32 (fma.f32 x x 1) 1/2) -3) 1/3)
(pow.f32 (cbrt.f32 (/.f32 2 (fma.f32 x x 1))) 3)
(pow.f32 (/.f32 (sqrt.f32 2) (hypot.f32 1 x)) 2)
(pow.f32 (*.f32 (fma.f32 x x 1) 1/2) -1)
(pow.f32 (/.f32 (*.f32 (fma.f32 x x 1) 1/2) 1) -1)
(sqrt.f32 (/.f32 4 (pow.f32 (hypot.f32 1 x) 4)))
(log.f32 (exp.f32 (/.f32 2 (fma.f32 x x 1))))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 2 (fma.f32 x x 1)))))
(cbrt.f32 (pow.f32 (*.f32 (fma.f32 x x 1) 1/2) -3))
(expm1.f32 (log1p.f32 (/.f32 2 (fma.f32 x x 1))))
(log1p.f32 (expm1.f32 (/.f32 2 (fma.f32 x x 1))))
(exp.f32 (log.f32 (/.f32 2 (fma.f32 x x 1))))
(exp.f32 (*.f32 (log.f32 (/.f32 2 (fma.f32 x x 1))) 1))

Outputs
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 2/3 (pow.f32 x 3)))
(fma.f32 2 x (*.f32 2/3 (pow.f32 x 3)))
(fma.f32 2/3 (pow.f32 x 3) (*.f32 2 x))
(+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(fma.f32 2 x (fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (.f32 2/7 (pow.f32 x 7)) (+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))))
(fma.f32 2/7 (pow.f32 x 7) (fma.f32 2 x (fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (log.f32 -1) (/.f32 2 x))
(+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (/.f32 (.f32 (-.f32 (.f32 1/6 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1)))))) (.f32 8/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 3))))
(+.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (/.f32 (fma.f32 1/6 (+.f32 (/.f32 16 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 4 (+.f32 (log.f32 -1) 1))) (neg.f32 (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)))) (/.f32 (pow.f32 x 3) (+.f32 (log.f32 -1) 1))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2 x) (*.f32 (/.f32 (+.f32 (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (-.f32 (/.f32 2/3 (+.f32 (log.f32 -1) 1)) (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)))) (pow.f32 x 3)) (+.f32 (log.f32 -1) 1))))
(+.f32 (/.f32 2 x) (+.f32 (log.f32 -1) (/.f32 (+.f32 (log.f32 -1) 1) (/.f32 (pow.f32 x 3) (+.f32 (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (+.f32 (/.f32 2/3 (+.f32 (log.f32 -1) 1)) (/.f32 -8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3))))))))
(+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (/.f32 (.f32 (-.f32 (.f32 1/6 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1)))))) (.f32 8/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 3)) (/.f32 (.f32 (-.f32 (+.f32 (.f32 -1/24 (+.f32 (.f32 96 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 4))) (.f32 32 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 2))))) (.f32 1/3 (/.f32 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1))))) (+.f32 1 (log.f32 -1))))) (.f32 4/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 4)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 4)))))
(+.f32 (log.f32 -1) (+.f32 (+.f32 (/.f32 2 x) (/.f32 (fma.f32 1/6 (+.f32 (/.f32 16 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 4 (+.f32 (log.f32 -1) 1))) (neg.f32 (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)))) (/.f32 (pow.f32 x 3) (+.f32 (log.f32 -1) 1)))) (/.f32 (-.f32 (fma.f32 -1/24 (+.f32 (/.f32 96 (pow.f32 (+.f32 (log.f32 -1) 1) 4)) (/.f32 32 (pow.f32 (+.f32 (log.f32 -1) 1) 2))) (*.f32 1/3 (/.f32 (+.f32 (/.f32 16 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 4 (+.f32 (log.f32 -1) 1))) (+.f32 (log.f32 -1) 1)))) (/.f32 4/3 (pow.f32 (+.f32 (log.f32 -1) 1) 4))) (/.f32 (pow.f32 x 4) (+.f32 (log.f32 -1) 1)))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2 x) (+.f32 (.f32 (/.f32 (+.f32 (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (-.f32 (/.f32 2/3 (+.f32 (log.f32 -1) 1)) (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)))) (pow.f32 x 3)) (+.f32 (log.f32 -1) 1)) (.f32 (/.f32 (+.f32 (+.f32 (/.f32 -4 (pow.f32 (+.f32 (log.f32 -1) 1) 4)) (/.f32 -4/3 (pow.f32 (+.f32 (log.f32 -1) 1) 2))) (fma.f32 1/3 (/.f32 (+.f32 (/.f32 16 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 4 (+.f32 (log.f32 -1) 1))) (+.f32 (log.f32 -1) 1)) (/.f32 -4/3 (pow.f32 (+.f32 (log.f32 -1) 1) 4)))) (pow.f32 x 4)) (+.f32 (log.f32 -1) 1)))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 (+.f32 (log.f32 -1) 1) (/.f32 (pow.f32 x 3) (+.f32 (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (+.f32 (/.f32 2/3 (+.f32 (log.f32 -1) 1)) (/.f32 -8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)))))) (+.f32 (/.f32 2 x) (*.f32 (/.f32 (+.f32 (+.f32 (/.f32 -4 (pow.f32 (+.f32 (log.f32 -1) 1) 4)) (/.f32 -4/3 (pow.f32 (+.f32 (log.f32 -1) 1) 2))) (fma.f32 1/3 (/.f32 (+.f32 (/.f32 16 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 4 (+.f32 (log.f32 -1) 1))) (+.f32 (log.f32 -1) 1)) (/.f32 -4/3 (pow.f32 (+.f32 (log.f32 -1) 1) 4)))) (pow.f32 x 4)) (+.f32 (log.f32 -1) 1)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (log.f32 -1) (/.f32 2 x))
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 (.f32 -1/6 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1)))))) (.f32 8/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 3))) (+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x))))
(fma.f32 -1 (/.f32 (fma.f32 -1/6 (+.f32 (/.f32 16 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 4 (+.f32 (log.f32 -1) 1))) (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3))) (/.f32 (pow.f32 x 3) (+.f32 (log.f32 -1) 1))) (+.f32 (log.f32 -1) (/.f32 2 x)))
(-.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (*.f32 (/.f32 (+.f32 (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (+.f32 (/.f32 -8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 -2/3 (+.f32 (log.f32 -1) 1)))) (pow.f32 x 3)) (+.f32 (log.f32 -1) 1)))
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 (.f32 -1/6 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1)))))) (.f32 8/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (/.f32 (.f32 (-.f32 (+.f32 (.f32 -1/24 (+.f32 (.f32 96 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 4))) (.f32 32 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 2))))) (.f32 1/3 (/.f32 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1))))) (+.f32 1 (log.f32 -1))))) (*.f32 4/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 4)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 4)))))
(fma.f32 -1 (/.f32 (fma.f32 -1/6 (+.f32 (/.f32 16 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 4 (+.f32 (log.f32 -1) 1))) (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3))) (/.f32 (pow.f32 x 3) (+.f32 (log.f32 -1) 1))) (+.f32 (log.f32 -1) (+.f32 (/.f32 2 x) (/.f32 (-.f32 (fma.f32 -1/24 (+.f32 (/.f32 96 (pow.f32 (+.f32 (log.f32 -1) 1) 4)) (/.f32 32 (pow.f32 (+.f32 (log.f32 -1) 1) 2))) (*.f32 1/3 (/.f32 (+.f32 (/.f32 16 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 4 (+.f32 (log.f32 -1) 1))) (+.f32 (log.f32 -1) 1)))) (/.f32 4/3 (pow.f32 (+.f32 (log.f32 -1) 1) 4))) (/.f32 (pow.f32 x 4) (+.f32 (log.f32 -1) 1))))))
(+.f32 (-.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (.f32 (/.f32 (+.f32 (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (+.f32 (/.f32 -8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 -2/3 (+.f32 (log.f32 -1) 1)))) (pow.f32 x 3)) (+.f32 (log.f32 -1) 1))) (.f32 (/.f32 (+.f32 (+.f32 (/.f32 -4 (pow.f32 (+.f32 (log.f32 -1) 1) 4)) (/.f32 -4/3 (pow.f32 (+.f32 (log.f32 -1) 1) 2))) (fma.f32 1/3 (/.f32 (+.f32 (/.f32 16 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 4 (+.f32 (log.f32 -1) 1))) (+.f32 (log.f32 -1) 1)) (/.f32 -4/3 (pow.f32 (+.f32 (log.f32 -1) 1) 4)))) (pow.f32 x 4)) (+.f32 (log.f32 -1) 1)))
(+.f32 (log.f32 -1) (-.f32 (+.f32 (/.f32 2 x) (.f32 (/.f32 (+.f32 (+.f32 (/.f32 -4 (pow.f32 (+.f32 (log.f32 -1) 1) 4)) (/.f32 -4/3 (pow.f32 (+.f32 (log.f32 -1) 1) 2))) (fma.f32 1/3 (/.f32 (+.f32 (/.f32 16 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 4 (+.f32 (log.f32 -1) 1))) (+.f32 (log.f32 -1) 1)) (/.f32 -4/3 (pow.f32 (+.f32 (log.f32 -1) 1) 4)))) (pow.f32 x 4)) (+.f32 (log.f32 -1) 1))) (.f32 (/.f32 (+.f32 (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (+.f32 (/.f32 -8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 -2/3 (+.f32 (log.f32 -1) 1)))) (pow.f32 x 3)) (+.f32 (log.f32 -1) 1))))
(*.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 (+.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 (pow.f32 x 3) (+.f32 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)))))))
(+.f32 -2 (neg.f32 (+.f32 (/.f32 2 x) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3))))))
(-.f32 -2 (+.f32 (/.f32 2 (*.f32 x x)) (+.f32 (/.f32 2 x) (/.f32 2 (pow.f32 x 3)))))
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(pow.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))) 1)
(log1p.f32 (log1p.f32 (/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2))))
(log1p.f32 (log1p.f32 (*.f32 (/.f32 -2 (fma.f32 x x -1)) (fma.f32 x x x))))
(pow.f32 (pow.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))) 2) 1/2)
(log1p.f32 (log1p.f32 (/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2))))
(log1p.f32 (log1p.f32 (*.f32 (/.f32 -2 (fma.f32 x x -1)) (fma.f32 x x x))))
(pow.f32 (pow.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))) 3) 1/3)
(log1p.f32 (log1p.f32 (/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2))))
(log1p.f32 (log1p.f32 (*.f32 (/.f32 -2 (fma.f32 x x -1)) (fma.f32 x x x))))
(pow.f32 (cbrt.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))) 3)
(log1p.f32 (log1p.f32 (/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2))))
(log1p.f32 (log1p.f32 (*.f32 (/.f32 -2 (fma.f32 x x -1)) (fma.f32 x x x))))
(pow.f32 (sqrt.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))) 2)
(log1p.f32 (log1p.f32 (/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2))))
(log1p.f32 (log1p.f32 (*.f32 (/.f32 -2 (fma.f32 x x -1)) (fma.f32 x x x))))
(sqrt.f32 (pow.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))) 2))
(log1p.f32 (log1p.f32 (/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2))))
(log1p.f32 (log1p.f32 (*.f32 (/.f32 -2 (fma.f32 x x -1)) (fma.f32 x x x))))
(log.f32 (+.f32 1 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))))
(log1p.f32 (log1p.f32 (/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2))))
(log1p.f32 (log1p.f32 (*.f32 (/.f32 -2 (fma.f32 x x -1)) (fma.f32 x x x))))
(cbrt.f32 (pow.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1)))) 3))
(log1p.f32 (log1p.f32 (/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2))))
(log1p.f32 (log1p.f32 (*.f32 (/.f32 -2 (fma.f32 x x -1)) (fma.f32 x x x))))
(expm1.f32 (log1p.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))))
(log1p.f32 (log1p.f32 (/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2))))
(log1p.f32 (log1p.f32 (*.f32 (/.f32 -2 (fma.f32 x x -1)) (fma.f32 x x x))))
(exp.f32 (log.f32 (log1p.f32 (log1p.f32 (/.f32 (*.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))))
(log1p.f32 (log1p.f32 (/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2))))
(log1p.f32 (log1p.f32 (*.f32 (/.f32 -2 (fma.f32 x x -1)) (fma.f32 x x x))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (log1p.f32 (/.f32 (.f32 -2 (fma.f32 x x x)) (fma.f32 x x -1))))) 1))
(log1p.f32 (log1p.f32 (/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2))))
(log1p.f32 (log1p.f32 (*.f32 (/.f32 -2 (fma.f32 x x -1)) (fma.f32 x x x))))
(+.f32 0 (/.f32 2 (fma.f32 x x 1)))
(/.f32 2 (fma.f32 x x 1))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 2 (fma.f32 x x 1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 2 (fma.f32 x x 1))))))
(+.f32 (*.f32 2 (log.f32 (cbrt.f32 (exp.f32 (/.f32 2 (fma.f32 x x 1)))))) (log.f32 (cbrt.f32 (exp.f32 (/.f32 2 (fma.f32 x x 1))))))
(*.f32 3 (log.f32 (cbrt.f32 (exp.f32 (/.f32 2 (fma.f32 x x 1))))))
(+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 2 (fma.f32 x x 1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 2 (fma.f32 x x 1))))))
(*.f32 2 (log.f32 (sqrt.f32 (exp.f32 (/.f32 2 (fma.f32 x x 1))))))
(-.f32 (exp.f32 (log1p.f32 (/.f32 2 (fma.f32 x x 1)))) 1)
(/.f32 2 (fma.f32 x x 1))
(*.f32 2 (pow.f32 (hypot.f32 1 x) -2))
(*.f32 1 (/.f32 2 (fma.f32 x x 1)))
(/.f32 2 (fma.f32 x x 1))
(*.f32 (/.f32 2 (fma.f32 x x 1)) 1)
(/.f32 2 (fma.f32 x x 1))
(*.f32 (cbrt.f32 (/.f32 2 (fma.f32 x x 1))) (cbrt.f32 (/.f32 4 (pow.f32 (hypot.f32 1 x) 4))))
(*.f32 (cbrt.f32 (/.f32 4 (pow.f32 (hypot.f32 1 x) 4))) (cbrt.f32 (/.f32 2 (fma.f32 x x 1))))
(*.f32 (cbrt.f32 (/.f32 2 (fma.f32 x x 1))) (cbrt.f32 (/.f32 4 (pow.f32 (hypot.f32 1 x) 4))))
(*.f32 (/.f32 (sqrt.f32 2) (hypot.f32 1 x)) (/.f32 (sqrt.f32 2) (hypot.f32 1 x)))
(pow.f32 (/.f32 (sqrt.f32 2) (hypot.f32 1 x)) 2)
(*.f32 -2 (/.f32 1 (fma.f32 x x -1)))
(/.f32 -2 (fma.f32 x x -1))
(*.f32 (pow.f32 (hypot.f32 1 x) -2) 2)
(*.f32 2 (pow.f32 (hypot.f32 1 x) -2))
(pow.f32 (/.f32 2 (fma.f32 x x 1)) 1)
(/.f32 2 (fma.f32 x x 1))
(pow.f32 (/.f32 4 (pow.f32 (hypot.f32 1 x) 4)) 1/2)
(sqrt.f32 (/.f32 4 (pow.f32 (hypot.f32 1 x) 4)))
(pow.f32 (pow.f32 (*.f32 (fma.f32 x x 1) 1/2) -3) 1/3)
(cbrt.f32 (pow.f32 (*.f32 (fma.f32 x x 1) 1/2) -3))
(pow.f32 (cbrt.f32 (/.f32 2 (fma.f32 x x 1))) 3)
(/.f32 2 (fma.f32 x x 1))
(pow.f32 (/.f32 (sqrt.f32 2) (hypot.f32 1 x)) 2)
(pow.f32 (*.f32 (fma.f32 x x 1) 1/2) -1)
(/.f32 2 (fma.f32 x x 1))
(pow.f32 (/.f32 (*.f32 (fma.f32 x x 1) 1/2) 1) -1)
(/.f32 2 (fma.f32 x x 1))
(sqrt.f32 (/.f32 4 (pow.f32 (hypot.f32 1 x) 4)))
(log.f32 (exp.f32 (/.f32 2 (fma.f32 x x 1))))
(/.f32 2 (fma.f32 x x 1))
(log.f32 (+.f32 1 (expm1.f32 (/.f32 2 (fma.f32 x x 1)))))
(/.f32 2 (fma.f32 x x 1))
(cbrt.f32 (pow.f32 (*.f32 (fma.f32 x x 1) 1/2) -3))
(expm1.f32 (log1p.f32 (/.f32 2 (fma.f32 x x 1))))
(/.f32 2 (fma.f32 x x 1))
(log1p.f32 (expm1.f32 (/.f32 2 (fma.f32 x x 1))))
(/.f32 2 (fma.f32 x x 1))
(exp.f32 (log.f32 (/.f32 2 (fma.f32 x x 1))))
(/.f32 2 (fma.f32 x x 1))
(exp.f32 (*.f32 (log.f32 (/.f32 2 (fma.f32 x x 1))) 1))
(/.f32 2 (fma.f32 x x 1))

eval566.0ms (11.3%)

Compiler: Compiled 11580 to 9007 computations (22.2% saved)

prune114.0ms (2.3%)

Pruning

6 alts after pruning (1 fresh and 5 done)

	Pruned	Kept	Total
New	449	1	450
Fresh	0	0	0
Picked	1	0	1
Done	0	5	5
Total	450	6	456

Error

Counts

456 → 6

Alt Table

Click to see full alt table

Status	Error	Program
▶	25.1b	(*.f32 1/2 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2))))) 1))
✓	0.3b	(.f32 1/2 (+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))))
✓	0.4b	(.f32 1/2 (+.f32 (.f32 2 x) (*.f32 2/3 (pow.f32 x 3))))
✓	0.8b	(*.f32 1/2 (+.f32 x 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))))

Compiler

Compiled 82 to 63 computations (23.2% saved)

localize111.0ms (2.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2)))
✓	0.0b	(log1p.f32 (log1p.f32 (/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2))))
✓	0.0b	(/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2))
✓	25.0b	(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2))))) 1)

Compiler

Compiled 104 to 60 computations (42.3% saved)

series27.0ms (0.5%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
23.0ms	x	@	-inf	(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2))))) 1)
1.0ms	x	@	0	(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2))))) 1)
1.0ms	x	@	inf	(-.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2))))) 1)
0.0ms	x	@	inf	(log1p.f32 (/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2)))
0.0ms	x	@	inf	(log1p.f32 (log1p.f32 (/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2))))

rewrite88.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

581×	`prod-diff_binary32`
538×	`log-prod_binary32`
302×	`pow-prod-down_binary32`
292×	`pow2_binary32`
204×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	68
1	270	68
2	3135	68

Stop Event

1×	node limit

Counts

4 → 165

Calls

Call 1

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

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

simplify141.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

533×	`times-frac_binary32`
492×	`fma-neg_binary32`
358×	`unswap-sqr_binary32`
329×	`log-prod_binary32`
244×	`fma-def_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	402	5552
1	1055	5423
2	3933	5421

Stop Event

1×	node limit

Counts

213 → 244

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 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (/.f32 (.f32 (-.f32 (.f32 1/6 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1)))))) (.f32 8/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 3))))
(+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (/.f32 (.f32 (-.f32 (.f32 1/6 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1)))))) (.f32 8/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 3)) (/.f32 (.f32 (-.f32 (+.f32 (.f32 -1/24 (+.f32 (.f32 96 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 4))) (.f32 32 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 2))))) (.f32 1/3 (/.f32 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1))))) (+.f32 1 (log.f32 -1))))) (.f32 4/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 4)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 4)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 (.f32 -1/6 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1)))))) (.f32 8/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 3))) (+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x))))
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 (.f32 -1/6 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1)))))) (.f32 8/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (/.f32 (.f32 (-.f32 (+.f32 (.f32 -1/24 (+.f32 (.f32 96 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 4))) (.f32 32 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 2))))) (.f32 1/3 (/.f32 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1))))) (+.f32 1 (log.f32 -1))))) (*.f32 4/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 4)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 4)))))
(*.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 (pow.f32 x 2)) (.f32 2 x))
(+.f32 (.f32 -2 (pow.f32 x 2)) (+.f32 (.f32 2 x) (*.f32 10/3 (pow.f32 x 3))))
(+.f32 (.f32 -16/3 (pow.f32 x 4)) (+.f32 (.f32 -2 (pow.f32 x 2)) (+.f32 (.f32 2 x) (.f32 10/3 (pow.f32 x 3)))))
(log.f32 (+.f32 1 (log.f32 -1)))
(+.f32 (log.f32 (+.f32 1 (log.f32 -1))) (.f32 2 (/.f32 1 (.f32 (+.f32 1 (log.f32 -1)) x))))
(-.f32 (+.f32 (log.f32 (+.f32 1 (log.f32 -1))) (.f32 2 (/.f32 1 (.f32 (+.f32 1 (log.f32 -1)) x)))) (.f32 2 (/.f32 1 (.f32 (pow.f32 (+.f32 1 (log.f32 -1)) 2) (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 (+.f32 1 (log.f32 -1))) (+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1))))) (pow.f32 x 3))) (.f32 2 (/.f32 1 (.f32 (+.f32 1 (log.f32 -1)) x))))) (.f32 2 (/.f32 1 (*.f32 (pow.f32 (+.f32 1 (log.f32 -1)) 2) (pow.f32 x 2)))))
(log.f32 (+.f32 1 (log.f32 -1)))
(+.f32 (log.f32 (+.f32 1 (log.f32 -1))) (.f32 2 (/.f32 1 (.f32 (+.f32 1 (log.f32 -1)) x))))
(-.f32 (+.f32 (log.f32 (+.f32 1 (log.f32 -1))) (.f32 2 (/.f32 1 (.f32 (+.f32 1 (log.f32 -1)) x)))) (.f32 2 (/.f32 1 (.f32 (pow.f32 (+.f32 1 (log.f32 -1)) 2) (pow.f32 x 2)))))
(-.f32 (+.f32 (log.f32 (+.f32 1 (log.f32 -1))) (+.f32 (.f32 1/6 (/.f32 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1))))) (pow.f32 x 3))) (.f32 2 (/.f32 1 (.f32 (+.f32 1 (log.f32 -1)) x))))) (.f32 2 (/.f32 1 (*.f32 (pow.f32 (+.f32 1 (log.f32 -1)) 2) (pow.f32 x 2)))))
(*.f32 2 x)
(+.f32 (.f32 2 x) (.f32 2/3 (pow.f32 x 3)))
(+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (*.f32 2/5 (pow.f32 x 5))))
(+.f32 (.f32 2/7 (pow.f32 x 7)) (+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (.f32 2 (/.f32 1 x))))
(+.f32 (.f32 2/3 (/.f32 1 (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (*.f32 2/5 (/.f32 1 (pow.f32 x 5))))))
(+.f32 -1 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1))
(+.f32 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) -1)
(+.f32 0 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))))
(+.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)) 1)) 2)) (log.f32 (cbrt.f32 (fma.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)) 1))))
(+.f32 (log.f32 (sqrt.f32 (fma.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)) 1))) (log.f32 (sqrt.f32 (fma.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)) 1))))
(.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)
(.f32 1 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))))
(.f32 (cbrt.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 2))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 2) (cbrt.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))))
(.f32 (sqrt.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) (sqrt.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))))
(.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 3)) (/.f32 1 (+.f32 (pow.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 2) (+.f32 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1))))
(.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))))) (/.f32 1 (+.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1)))
(.f32 (+.f32 (sqrt.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)) 1) (expm1.f32 (.f32 1/2 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))))))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 2) (+.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1)) (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 3))))
(/.f32 1 (/.f32 (+.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1) (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))))))))
(/.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 3)) (+.f32 (pow.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 2) (+.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1)))
(/.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 3)) (+.f32 (pow.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 2) (-.f32 1 (.f32 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) -1))))
(/.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))))) (+.f32 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1))
(/.f32 (neg.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 3))) (neg.f32 (+.f32 (pow.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 2) (+.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1))))
(/.f32 (neg.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))))))) (neg.f32 (+.f32 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1)))
(pow.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)
(pow.f32 (pow.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 2)
(pow.f32 (/.f32 (+.f32 (pow.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 2) (+.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1)) (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 3))) -1)
(pow.f32 (/.f32 (+.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1) (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))))))) -1)
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 2))
(log.f32 (fma.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))))
(log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 1))
(fma.f32 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1 -1)
(fma.f32 1 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) -1)
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(/.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 2) (+.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1)) (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 3))))
(/.f32 1 (/.f32 (+.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1) (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))))))))
(/.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 3)) (+.f32 (pow.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 2) (+.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1)))
(/.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 3)) (+.f32 (pow.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 2) (-.f32 1 (.f32 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) -1))))
(/.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))))) (+.f32 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1))
(/.f32 (neg.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 3))) (neg.f32 (+.f32 (pow.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 2) (+.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1))))
(/.f32 (neg.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))))))) (neg.f32 (+.f32 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1)))
(pow.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)
(pow.f32 (pow.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 2) 1/2)
(pow.f32 (pow.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 3) 1/3)
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 3)
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 2)
(pow.f32 (/.f32 (+.f32 (pow.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 2) (+.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1)) (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 3))) -1)
(pow.f32 (/.f32 (+.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1) (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))))))) -1)
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 2))
(log.f32 (fma.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)) 1))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 3))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 1))
(fma.f32 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1 -1)
(fma.f32 1 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) -1)
(fma.f32 (cbrt.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)) (pow.f32 (cbrt.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)) 2) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)) 2) (cbrt.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)) -1)
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)) 2) (.f32 (cbrt.f32 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)) 1) -1)
(fma.f32 (sqrt.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)) (sqrt.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)) -1)
(fma.f32 (sqrt.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)) (.f32 (sqrt.f32 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 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))))
(+.f32 (.f32 2/7 (pow.f32 x 7)) (+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))))
(fma.f32 2/7 (pow.f32 x 7) (fma.f32 2 x (fma.f32 2/3 (pow.f32 x 3) (*.f32 2/5 (pow.f32 x 5)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (log.f32 -1) (/.f32 2 x))
(+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (/.f32 (.f32 (-.f32 (.f32 1/6 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1)))))) (.f32 8/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 3))))
(+.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (/.f32 (-.f32 (*.f32 1/6 (+.f32 (/.f32 16 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 4 (+.f32 (log.f32 -1) 1)))) (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3))) (/.f32 (pow.f32 x 3) (+.f32 (log.f32 -1) 1))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2 x) (*.f32 (/.f32 (+.f32 (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (-.f32 (/.f32 2/3 (+.f32 (log.f32 -1) 1)) (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)))) (pow.f32 x 3)) (+.f32 (log.f32 -1) 1))))
(+.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (*.f32 (/.f32 (+.f32 (+.f32 (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 2/3 (+.f32 (log.f32 -1) 1))) (/.f32 -8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3))) (pow.f32 x 3)) (+.f32 (log.f32 -1) 1)))
(+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (+.f32 (/.f32 (.f32 (-.f32 (.f32 1/6 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1)))))) (.f32 8/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 3)) (/.f32 (.f32 (-.f32 (+.f32 (.f32 -1/24 (+.f32 (.f32 96 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 4))) (.f32 32 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 2))))) (.f32 1/3 (/.f32 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1))))) (+.f32 1 (log.f32 -1))))) (.f32 4/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 4)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 4)))))
(+.f32 (log.f32 -1) (+.f32 (+.f32 (/.f32 2 x) (/.f32 (-.f32 (.f32 1/6 (+.f32 (/.f32 16 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 4 (+.f32 (log.f32 -1) 1)))) (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3))) (/.f32 (pow.f32 x 3) (+.f32 (log.f32 -1) 1)))) (/.f32 (-.f32 (fma.f32 -1/24 (+.f32 (/.f32 96 (pow.f32 (+.f32 (log.f32 -1) 1) 4)) (/.f32 32 (pow.f32 (+.f32 (log.f32 -1) 1) 2))) (.f32 1/3 (/.f32 (+.f32 (/.f32 16 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 4 (+.f32 (log.f32 -1) 1))) (+.f32 (log.f32 -1) 1)))) (/.f32 4/3 (pow.f32 (+.f32 (log.f32 -1) 1) 4))) (/.f32 (pow.f32 x 4) (+.f32 (log.f32 -1) 1)))))
(+.f32 (log.f32 -1) (+.f32 (/.f32 2 x) (+.f32 (.f32 (/.f32 (+.f32 (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (-.f32 (/.f32 2/3 (+.f32 (log.f32 -1) 1)) (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)))) (pow.f32 x 3)) (+.f32 (log.f32 -1) 1)) (.f32 (/.f32 (+.f32 (+.f32 (/.f32 -4 (pow.f32 (+.f32 (log.f32 -1) 1) 4)) (/.f32 -4/3 (pow.f32 (+.f32 (log.f32 -1) 1) 2))) (fma.f32 1/3 (/.f32 (+.f32 (/.f32 16 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 4 (+.f32 (log.f32 -1) 1))) (+.f32 (log.f32 -1) 1)) (/.f32 -4/3 (pow.f32 (+.f32 (log.f32 -1) 1) 4)))) (pow.f32 x 4)) (+.f32 (log.f32 -1) 1)))))
(+.f32 (log.f32 -1) (+.f32 (.f32 (/.f32 (+.f32 (+.f32 (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 2/3 (+.f32 (log.f32 -1) 1))) (/.f32 -8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3))) (pow.f32 x 3)) (+.f32 (log.f32 -1) 1)) (+.f32 (/.f32 2 x) (.f32 (/.f32 (+.f32 (+.f32 (/.f32 -4 (pow.f32 (+.f32 (log.f32 -1) 1) 4)) (/.f32 -4/3 (pow.f32 (+.f32 (log.f32 -1) 1) 2))) (fma.f32 1/3 (/.f32 (+.f32 (/.f32 16 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 4 (+.f32 (log.f32 -1) 1))) (+.f32 (log.f32 -1) 1)) (/.f32 -4/3 (pow.f32 (+.f32 (log.f32 -1) 1) 4)))) (pow.f32 x 4)) (+.f32 (log.f32 -1) 1)))))
(log.f32 -1)
(+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x)))
(+.f32 (log.f32 -1) (/.f32 2 x))
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 (.f32 -1/6 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1)))))) (.f32 8/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 3))) (+.f32 (log.f32 -1) (*.f32 2 (/.f32 1 x))))
(fma.f32 -1 (/.f32 (fma.f32 -1/6 (+.f32 (/.f32 16 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 4 (+.f32 (log.f32 -1) 1))) (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3))) (/.f32 (pow.f32 x 3) (+.f32 (log.f32 -1) 1))) (+.f32 (log.f32 -1) (/.f32 2 x)))
(-.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (*.f32 (/.f32 (+.f32 (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (+.f32 (/.f32 -8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 -2/3 (+.f32 (log.f32 -1) 1)))) (pow.f32 x 3)) (+.f32 (log.f32 -1) 1)))
(-.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (*.f32 (/.f32 (+.f32 (/.f32 -8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (+.f32 (/.f32 -2/3 (+.f32 (log.f32 -1) 1)) (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)))) (pow.f32 x 3)) (+.f32 (log.f32 -1) 1)))
(+.f32 (.f32 -1 (/.f32 (.f32 (+.f32 (.f32 -1/6 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1)))))) (.f32 8/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 3))) (+.f32 (log.f32 -1) (+.f32 (.f32 2 (/.f32 1 x)) (/.f32 (.f32 (-.f32 (+.f32 (.f32 -1/24 (+.f32 (.f32 96 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 4))) (.f32 32 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 2))))) (.f32 1/3 (/.f32 (+.f32 (.f32 16 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 3))) (.f32 4 (/.f32 1 (+.f32 1 (log.f32 -1))))) (+.f32 1 (log.f32 -1))))) (*.f32 4/3 (/.f32 1 (pow.f32 (+.f32 1 (log.f32 -1)) 4)))) (+.f32 1 (log.f32 -1))) (pow.f32 x 4)))))
(fma.f32 -1 (/.f32 (fma.f32 -1/6 (+.f32 (/.f32 16 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 4 (+.f32 (log.f32 -1) 1))) (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3))) (/.f32 (pow.f32 x 3) (+.f32 (log.f32 -1) 1))) (+.f32 (log.f32 -1) (+.f32 (/.f32 2 x) (/.f32 (-.f32 (fma.f32 -1/24 (+.f32 (/.f32 96 (pow.f32 (+.f32 (log.f32 -1) 1) 4)) (/.f32 32 (pow.f32 (+.f32 (log.f32 -1) 1) 2))) (*.f32 1/3 (/.f32 (+.f32 (/.f32 16 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 4 (+.f32 (log.f32 -1) 1))) (+.f32 (log.f32 -1) 1)))) (/.f32 4/3 (pow.f32 (+.f32 (log.f32 -1) 1) 4))) (/.f32 (pow.f32 x 4) (+.f32 (log.f32 -1) 1))))))
(+.f32 (-.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (.f32 (/.f32 (+.f32 (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (+.f32 (/.f32 -8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 -2/3 (+.f32 (log.f32 -1) 1)))) (pow.f32 x 3)) (+.f32 (log.f32 -1) 1))) (.f32 (/.f32 (+.f32 (+.f32 (/.f32 -4 (pow.f32 (+.f32 (log.f32 -1) 1) 4)) (/.f32 -4/3 (pow.f32 (+.f32 (log.f32 -1) 1) 2))) (fma.f32 1/3 (/.f32 (+.f32 (/.f32 16 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 4 (+.f32 (log.f32 -1) 1))) (+.f32 (log.f32 -1) 1)) (/.f32 -4/3 (pow.f32 (+.f32 (log.f32 -1) 1) 4)))) (pow.f32 x 4)) (+.f32 (log.f32 -1) 1)))
(+.f32 (-.f32 (+.f32 (log.f32 -1) (/.f32 2 x)) (.f32 (/.f32 (+.f32 (/.f32 -8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (+.f32 (/.f32 -2/3 (+.f32 (log.f32 -1) 1)) (/.f32 8/3 (pow.f32 (+.f32 (log.f32 -1) 1) 3)))) (pow.f32 x 3)) (+.f32 (log.f32 -1) 1))) (.f32 (/.f32 (+.f32 (+.f32 (/.f32 -4 (pow.f32 (+.f32 (log.f32 -1) 1) 4)) (/.f32 -4/3 (pow.f32 (+.f32 (log.f32 -1) 1) 2))) (fma.f32 1/3 (/.f32 (+.f32 (/.f32 16 (pow.f32 (+.f32 (log.f32 -1) 1) 3)) (/.f32 4 (+.f32 (log.f32 -1) 1))) (+.f32 (log.f32 -1) 1)) (/.f32 -4/3 (pow.f32 (+.f32 (log.f32 -1) 1) 4)))) (pow.f32 x 4)) (+.f32 (log.f32 -1) 1)))
(*.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 (pow.f32 x 3) (+.f32 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 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 (+.f32 2 (/.f32 2 x)) (+.f32 (/.f32 2 (*.f32 x x)) (/.f32 2 (pow.f32 x 3)))))
(-.f32 -2 (+.f32 (/.f32 2 (*.f32 x x)) (+.f32 (/.f32 2 x) (/.f32 2 (pow.f32 x 3)))))
(+.f32 -2 (-.f32 (/.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))
(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)))))))
(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 (*.f32 x x)) (+.f32 (/.f32 2 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 x)
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(.f32 (+.f32 1 (sqrt.f32 (+.f32 1 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))) (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))) 1/2)))
(/.f32 1 (/.f32 (+.f32 (pow.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 2) (+.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1)) (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 3))))
(.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (/.f32 (.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))))) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (/.f32 (.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))) 2) (+.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1))) 2))))
(/.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))) (+.f32 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1)))) (+.f32 2 (pow.f32 (+.f32 1 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))) 2))))
(/.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))) (+.f32 1 (.f32 (+.f32 2 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))) (+.f32 1 (log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))))
(/.f32 1 (/.f32 (+.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1) (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))))))))
(.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (/.f32 (.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))))) (/.f32 1 (+.f32 (log1p.f32 (/.f32 (.f32 (fma.f32 x x x) -2) (fma.f32 x x -1))) 2)))
(/.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))) (+.f32 2 (log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))
(/.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 3)) (+.f32 (pow.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 2) (+.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1)))
(.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (/.f32 (.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))))) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (/.f32 (.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))) 2) (+.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1))) 2))))
(/.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))) (+.f32 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1)))) (+.f32 2 (pow.f32 (+.f32 1 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))) 2))))
(/.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))) (+.f32 1 (.f32 (+.f32 2 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))) (+.f32 1 (log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))))
(/.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 3)) (+.f32 (pow.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 2) (-.f32 1 (.f32 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) -1))))
(.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (/.f32 (.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))))) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (/.f32 (.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))) 2) (+.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1))) 2))))
(/.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))) (+.f32 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1)))) (+.f32 2 (pow.f32 (+.f32 1 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))) 2))))
(/.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))) (+.f32 1 (.f32 (+.f32 2 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))) (+.f32 1 (log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))))
(/.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))))) (+.f32 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1))
(.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (/.f32 (.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))))) (/.f32 1 (+.f32 (log1p.f32 (/.f32 (.f32 (fma.f32 x x x) -2) (fma.f32 x x -1))) 2)))
(/.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))) (+.f32 2 (log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))
(/.f32 (neg.f32 (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 3))) (neg.f32 (+.f32 (pow.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 2) (+.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1))))
(.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (/.f32 (.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))))) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (/.f32 (.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))) 2) (+.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1))) 2))))
(/.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))) (+.f32 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1)))) (+.f32 2 (pow.f32 (+.f32 1 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))) 2))))
(/.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))) (+.f32 1 (.f32 (+.f32 2 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))) (+.f32 1 (log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))))
(/.f32 (neg.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))))))) (neg.f32 (+.f32 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1)))
(.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (/.f32 (.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))))) (/.f32 1 (+.f32 (log1p.f32 (/.f32 (.f32 (fma.f32 x x x) -2) (fma.f32 x x -1))) 2)))
(/.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))) (+.f32 2 (log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))
(pow.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))
(log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 2) 1/2)
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))
(log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))
(pow.f32 (pow.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 3) 1/3)
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))
(log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 3)
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))
(log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))
(pow.f32 (sqrt.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 2)
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))
(log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))
(pow.f32 (/.f32 (+.f32 (pow.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 2) (+.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1)) (expm1.f32 (.f32 (log1p.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 3))) -1)
(.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (/.f32 (.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))))) (/.f32 1 (+.f32 (pow.f32 (+.f32 1 (log1p.f32 (/.f32 (.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))) 2) (+.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1))) 2))))
(/.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))) (+.f32 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1)))) (+.f32 2 (pow.f32 (+.f32 1 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))) 2))))
(/.f32 (expm1.f32 (.f32 3 (log1p.f32 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))) (+.f32 1 (.f32 (+.f32 2 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))) (+.f32 1 (log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))))
(pow.f32 (/.f32 (+.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1) (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))))))) -1)
(.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (/.f32 (.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))))) (/.f32 1 (+.f32 (log1p.f32 (/.f32 (.f32 (fma.f32 x x x) -2) (fma.f32 x x -1))) 2)))
(/.f32 (expm1.f32 (.f32 2 (log1p.f32 (log1p.f32 (.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))) (+.f32 2 (log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))))
(sqrt.f32 (pow.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 2))
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))
(log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))
(log.f32 (fma.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)) 1))
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))
(log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 3))
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))
(log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))
(expm1.f32 (log1p.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))))
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))
(log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))
(exp.f32 (log.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))))
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))
(log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))
(exp.f32 (.f32 (log.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1))))) 1))
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))
(log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))
(fma.f32 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) 1 -1)
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))
(log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))
(fma.f32 1 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1) -1)
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))
(log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))
(fma.f32 (cbrt.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)) (pow.f32 (cbrt.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)) 2) -1)
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))
(log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)) 2) (cbrt.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)) -1)
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))
(log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))
(fma.f32 (pow.f32 (cbrt.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)) 2) (.f32 (cbrt.f32 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)) 1) -1)
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))
(log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))
(fma.f32 (sqrt.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)) (sqrt.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)) -1)
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))
(log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))
(fma.f32 (sqrt.f32 (+.f32 (log1p.f32 (.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)) (.f32 (sqrt.f32 (+.f32 (log1p.f32 (*.f32 (fma.f32 x x x) (/.f32 -2 (fma.f32 x x -1)))) 1)) 1) -1)
(log1p.f32 (/.f32 (*.f32 (fma.f32 x x x) -2) (fma.f32 x x -1)))
(log1p.f32 (*.f32 -2 (/.f32 (fma.f32 x x x) (fma.f32 x x -1))))

eval206.0ms (4.1%)

Compiler: Compiled 7574 to 5641 computations (25.5% saved)

prune59.0ms (1.2%)

Pruning

6 alts after pruning (0 fresh and 6 done)

	Pruned	Kept	Total
New	244	0	244
Fresh	0	0	0
Picked	0	1	1
Done	0	5	5
Total	244	6	250

Error

Counts

250 → 6

Alt Table

Click to see full alt table

Status	Error	Program
✓	25.1b	(*.f32 1/2 (-.f32 (exp.f32 (log1p.f32 (log1p.f32 (/.f32 (fma.f32 x x x) (/.f32 (fma.f32 x x -1) -2))))) 1))
✓	0.3b	(.f32 1/2 (+.f32 (.f32 2 x) (+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))))
✓	0.4b	(.f32 1/2 (+.f32 (.f32 2 x) (*.f32 2/3 (pow.f32 x 3))))
✓	0.8b	(*.f32 1/2 (+.f32 x 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))))

Compiler

Compiled 82 to 63 computations (23.2% saved)

regimes45.0ms (0.9%)

Counts

12 → 1

Calls

Call 1

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

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

Calls

4 calls:

18.0ms	(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))
8.0ms	x
7.0ms	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
7.0ms	(/.f32 (*.f32 2 x) (-.f32 1 x))

Results

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

Compiler

Compiled 164 to 123 computations (25% saved)

regimes6.0ms (0.1%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.2b	1	`x`

Compiler

Compiled 46 to 36 computations (21.7% saved)

regimes7.0ms (0.1%)

Accuracy

Total -31.2b remaining (-3965.3%)

Threshold costs -31.2b (-3965.3%)

Counts

5 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.8b	1	`x`

Compiler

Compiled 36 to 28 computations (22.2% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	37
1	24	37
2	28	37
3	30	37
4	31	37

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 28 to 22 computations (21.4% saved)

soundness0.0ms (0%)

end28.0ms (0.6%)

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

Details

analyze9.0ms (0.2%)

sample1.5s (30.7%)

preprocess16.0ms (0.3%)

simplify76.0ms (1.5%)

eval2.0ms (0%)

prune2.0ms (0%)

localize62.0ms (1.2%)

series5.0ms (0.1%)

rewrite59.0ms (1.2%)

simplify51.0ms (1%)

localize43.0ms (0.8%)

series1.0ms (0%)

rewrite49.0ms (1%)

simplify43.0ms (0.9%)

eval81.0ms (1.6%)

prune40.0ms (0.8%)

localize52.0ms (1%)

series2.0ms (0%)

rewrite70.0ms (1.4%)

simplify74.0ms (1.5%)

localize12.0ms (0.2%)

localize18.0ms (0.4%)

series10.0ms (0.2%)

rewrite34.0ms (0.7%)

simplify50.0ms (1%)

localize26.0ms (0.5%)

series3.0ms (0.1%)

rewrite70.0ms (1.4%)

simplify40.0ms (0.8%)

localize48.0ms (1%)

series2.0ms (0%)

rewrite40.0ms (0.8%)

simplify47.0ms (0.9%)

eval186.0ms (3.7%)

prune88.0ms (1.8%)

localize12.0ms (0.2%)

localize50.0ms (1%)

series2.0ms (0%)

rewrite55.0ms (1.1%)

simplify40.0ms (0.8%)

localize76.0ms (1.5%)

series4.0ms (0.1%)

rewrite59.0ms (1.2%)

simplify104.0ms (2.1%)

localize101.0ms (2%)

series8.0ms (0.2%)

rewrite70.0ms (1.4%)

simplify85.0ms (1.7%)

eval566.0ms (11.3%)

prune114.0ms (2.3%)

localize111.0ms (2.2%)

series27.0ms (0.5%)

rewrite88.0ms (1.7%)

simplify141.0ms (2.8%)

eval206.0ms (4.1%)

prune59.0ms (1.2%)

regimes45.0ms (0.9%)

regimes6.0ms (0.1%)

regimes7.0ms (0.1%)

simplify3.0ms (0.1%)

soundness0.0ms (0%)

end28.0ms (0.6%)

Profiling