Details

analyze6.0ms (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)

sample1.2s (36.3%)

Results

1.2s

8256×

body

256

valid

Bogosity

preprocess17.0ms (0.5%)

Algorithm

2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3	3
0	1	1

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0

Outputs
0

Call 2

Inputs
(atanh.f32 x)

Outputs
(atanh.f32 x)

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify78.0ms (2.3%)

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 (0.1%)

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

prune3.0ms (0.1%)

Pruning

4 alts after pruning (4 fresh and 0 done)

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

Error

0.0b

Counts

9 → 3

Alt Table

Click to see full alt table

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

Compiler

Compiled 33 to 27 computations (18.2% saved)

localize58.0ms (1.7%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 38 to 29 computations (23.7% saved)

series5.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite54.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

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

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

Outputs

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

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

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

simplify44.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

95 → 143

Calls

Call 1

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

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

localize38.0ms (1.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x)))
✓	0.1b	(/.f32 (-.f32 1 x) x)
✓	0.2b	(/.f32 2 (/.f32 (-.f32 1 x) x))

Compiler

Compiled 38 to 28 computations (26.3% saved)

series4.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

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

rewrite56.0ms (1.7%)

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))))))))))

simplify288.0ms (8.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

110 → 129

Calls

Call 1

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

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

localize55.0ms (1.7%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 36 to 27 computations (25% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

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

rewrite61.0ms (1.8%)

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))))))))

simplify48.0ms (1.5%)

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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eval175.0ms (5.3%)

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

prune64.0ms (1.9%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	381	6	387
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	382	8	390

Error

0.0b

Counts

390 → 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)))))
✓	0.2b	(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))))
▶	2.2b	(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 1 x))))
▶	31.3b	(*.f32 1/2 (log1p.f32 (-.f32 -2 (/.f32 2 x))))
✓	0.1b	(.f32 1/2 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))))
▶	2.1b	(.f32 1/2 (log1p.f32 (.f32 x 2)))
	1.0b	(.f32 1/2 (log1p.f32 (.f32 2 (+.f32 (*.f32 x x) x))))
▶	32.0b	(*.f32 1/2 (log1p.f32 -2))

Compiler

Compiled 140 to 118 computations (15.7% saved)

localize205.0ms (6.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	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))
✓	0.1b	(*.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	@	0	(*.f32 2/3 (pow.f32 x 3))
1.0ms	x	@	0	(*.f32 2/5 (pow.f32 x 5))
1.0ms	x	@	inf	(+.f32 (.f32 2/3 (pow.f32 x 3)) (.f32 2/5 (pow.f32 x 5)))
0.0ms	x	@	inf	(*.f32 2/3 (pow.f32 x 3))
0.0ms	x	@	-inf	(*.f32 2/3 (pow.f32 x 3))

rewrite60.0ms (1.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	28
1	247	28
2	2871	28

Stop Event

1×	node limit

Counts

3 → 119

Calls

Call 1

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

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 2/3 (pow.f32 x 3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 2/3) (pow.f32 x 3))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 2/3) (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 2/3) (pow.f32 x 3)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 2/3) (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.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 (*.f32 (pow.f32 x 6) 4/9) 1/2)))) (#(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 pow.f32 (*.f32 (pow.f32 x 9) 8/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1) (fma.f32 3 (log.f32 x) (log1p.f32 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (fma.f32 3 (log.f32 x) (log1p.f32 -1/3))) 2)) (cbrt.f32 (fma.f32 3 (log.f32 x) (log1p.f32 -1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (fma.f32 3 (log.f32 x) (log1p.f32 -1/3)))) (sqrt.f32 (fma.f32 3 (log.f32 x) (log1p.f32 -1/3))))))) (#(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 log.f32 (+.f32 1 (expm1.f32 (*.f32 2/3 (pow.f32 x 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 x 9) 8/27))))) (#(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 (fma.f32 3 (log.f32 x) (log1p.f32 -1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (fma.f32 3 (log.f32 x) (log1p.f32 -1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 x (cbrt.f32 2/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 2/3) (pow.f32 x 3/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 x 9) 8/27)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (fma.f32 3 (log.f32 x) (log1p.f32 -1/3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (fma.f32 3 (log.f32 x) (log1p.f32 -1/3)) 3) 1/3))))))

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

simplify53.0ms (1.6%)

Algorithm

1×	egg-herbie

Rules

664×	`fma-def_binary32`
353×	`distribute-rgt-in_binary32`
332×	`distribute-lft-in_binary32`
294×	`unswap-sqr_binary32`
288×	`*-commutative_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	294	2038
1	681	1944
2	1979	1944

Stop Event

1×	node limit

Counts

125 → 136

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

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

localize12.0ms (0.4%)

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

localize21.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

Compiler

Compiled 17 to 13 computations (23.5% saved)

series2.0ms (0.1%)

Counts

1 → 12

Calls

3 calls:

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

rewrite52.0ms (1.6%)

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 x 2))

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

simplify55.0ms (1.6%)

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	3917	378
4	7796	378

Stop Event

1×	node limit

Counts

32 → 78

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

localize27.0ms (0.8%)

Local error

Found 2 expressions with local error:

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

Compiler

Compiled 27 to 22 computations (18.5% saved)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite67.0ms (2%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

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

Outputs

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

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

simplify74.0ms (2.2%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 2 (0.0ms)

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

Stop Event

1×	node limit

Counts

67 → 84

Calls

Call 1

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

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

localize28.0ms (0.9%)

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)

series2.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

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

rewrite42.0ms (1.3%)

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))))))))

simplify42.0ms (1.3%)

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))

eval156.0ms (4.7%)

Compiler: Compiled 6398 to 5156 computations (19.4% saved)

prune75.0ms (2.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	370	1	371
Fresh	1	0	1
Picked	1	0	1
Done	3	3	6
Total	375	4	379

Error

0.0b

Counts

379 → 4

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)))))
▶	0.9b	(*.f32 1/2 (+.f32 x x))
✓	0.2b	(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))))
✓	0.1b	(.f32 1/2 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))))

Compiler

Compiled 46 to 37 computations (19.6% saved)

localize13.0ms (0.4%)

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

eval0.0ms (0%)

Compiler: Compiled 1 to 1 computations (0% saved)

prune2.0ms (0.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

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

Error

0.0b

Counts

4 → 4

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)))))
✓	0.9b	(*.f32 1/2 (+.f32 x x))
✓	0.2b	(*.f32 1/2 (log1p.f32 (/.f32 2 (/.f32 (-.f32 1 x) x))))
✓	0.1b	(.f32 1/2 (log1p.f32 (.f32 x (/.f32 -2 (+.f32 x -1)))))

Compiler

Compiled 46 to 37 computations (19.6% saved)

regimes29.0ms (0.9%)

Counts

10 → 1

Calls

Call 1

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

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

Calls

4 calls:

8.0ms	(/.f32 (*.f32 2 x) (-.f32 1 x))
7.0ms	(.f32 1/2 (log1p.f32 (/.f32 (.f32 2 x) (-.f32 1 x))))
6.0ms	(log1p.f32 (/.f32 (*.f32 2 x) (-.f32 1 x)))
6.0ms	x

Results

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

Compiler

Compiled 119 to 95 computations (20.2% saved)

regimes8.0ms (0.2%)

Counts

8 → 1

Calls

Call 1

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

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

Calls

1 calls:

6.0ms

Results

Error	Segments	Branch
0.1b	1	`x`

Compiler

Compiled 64 to 51 computations (20.3% saved)

regimes6.0ms (0.2%)

Accuracy

Total -31.1b remaining (-3485%)

Threshold costs -31.1b (-3485%)

Counts

6 → 1

Calls

Call 1

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

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

Calls

1 calls:

4.0ms

Results

Error	Segments	Branch
0.9b	1	`x`

Compiler

Compiled 44 to 35 computations (20.5% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

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

Stop Event

1×	done
1×	saturated

Calls

Call 1

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

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

Compiler

Compiled 28 to 22 computations (21.4% saved)

soundness0.0ms (0%)

end23.0ms (0.7%)

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

Details

analyze6.0ms (0.2%)

sample1.2s (36.3%)

preprocess17.0ms (0.5%)

simplify78.0ms (2.3%)

eval2.0ms (0.1%)

prune3.0ms (0.1%)

localize58.0ms (1.7%)

series5.0ms (0.1%)

rewrite54.0ms (1.6%)

simplify44.0ms (1.3%)

localize38.0ms (1.1%)

series4.0ms (0.1%)

rewrite56.0ms (1.7%)

simplify288.0ms (8.6%)

localize55.0ms (1.7%)

series2.0ms (0%)

rewrite61.0ms (1.8%)

simplify48.0ms (1.5%)

eval175.0ms (5.3%)

prune64.0ms (1.9%)

localize205.0ms (6.2%)

series4.0ms (0.1%)

rewrite60.0ms (1.8%)

simplify53.0ms (1.6%)

localize12.0ms (0.4%)

localize21.0ms (0.6%)

series2.0ms (0.1%)

rewrite52.0ms (1.6%)

simplify55.0ms (1.6%)

localize27.0ms (0.8%)

series2.0ms (0.1%)

rewrite67.0ms (2%)

simplify74.0ms (2.2%)

localize28.0ms (0.9%)

series2.0ms (0.1%)

rewrite42.0ms (1.3%)

simplify42.0ms (1.3%)

eval156.0ms (4.7%)

prune75.0ms (2.3%)

localize13.0ms (0.4%)

eval0.0ms (0%)

prune2.0ms (0.1%)

regimes29.0ms (0.9%)

regimes8.0ms (0.2%)

regimes6.0ms (0.2%)

simplify4.0ms (0.1%)

soundness0.0ms (0%)

end23.0ms (0.7%)

Profiling