Details

analyze111.0ms (3.2%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0.1%	99.9%	0
0%	0.1%	99.9%	1
0%	0.1%	99.9%	2
0.1%	0.1%	99.9%	3
0.1%	0.1%	99.9%	4
0.1%	0%	99.9%	5
0.1%	0%	99.9%	6
0.1%	0%	99.9%	7
0.1%	0%	99.9%	8
0.1%	0%	99.9%	9
0.1%	0%	99.9%	10
0.1%	0%	99.9%	11
0.1%	0%	99.9%	12
0.1%	0%	99.9%	13
0.1%	0%	99.9%	14

Compiler

Compiled 31 to 25 computations (19.4% saved)

sample1.6s (47.2%)

Results

1.6s

8256×

body

128

valid

Compiler

Compiled 62 to 50 computations (19.4% saved)

preprocess85.0ms (2.4%)

Algorithm

2×	egg-herbie

Rules

1254×	`fma-def_binary32`
520×	`fma-neg_binary32`
232×	`distribute-rgt-in_binary32`
207×	`cancel-sign-sub-inv_binary32`
177×	`sub-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	40
1	52	38
2	105	34
3	249	30
4	435	30
5	594	30
6	787	26
7	1146	26
8	1886	26
9	2487	26
10	2640	26
11	3132	26
12	3624	26
13	3785	26
14	3879	26
15	4539	26
16	4711	26
17	4970	26
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

Inputs
(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
(.f32 (.f32 3 u) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 s 1/4) 3/4)))))

Outputs
(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
(.f32 3 (.f32 s (neg.f32 (log.f32 (-.f32 1 (-.f32 (/.f32 u 3/4) 1/3))))))
(.f32 3 (.f32 s (neg.f32 (log1p.f32 (/.f32 (neg.f32 (+.f32 u -1/4)) 3/4)))))
(.f32 s (.f32 -3 (log1p.f32 (+.f32 (neg.f32 (/.f32 u 3/4)) 1/3))))
(.f32 s (.f32 (log.f32 (-.f32 4/3 (/.f32 u 3/4))) -3))
(.f32 s (.f32 (log1p.f32 (+.f32 1/3 (/.f32 u -3/4))) -3))
(.f32 s (.f32 (log1p.f32 (+.f32 1/3 (*.f32 -4/3 u))) -3))
(.f32 s (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3))
(.f32 s (.f32 (log.f32 (fma.f32 u -4/3 4/3)) -3))
(.f32 (.f32 3 u) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 s 1/4) 3/4)))))
(.f32 (.f32 3 u) (neg.f32 (log.f32 (-.f32 1 (-.f32 (/.f32 s 3/4) 1/3)))))
(neg.f32 (.f32 (.f32 3 u) (log1p.f32 (/.f32 (neg.f32 (+.f32 s -1/4)) 3/4))))
(.f32 u (.f32 -3 (log1p.f32 (neg.f32 (/.f32 (+.f32 s -1/4) 3/4)))))
(.f32 (log.f32 (-.f32 4/3 (/.f32 s 3/4))) (.f32 u -3))
(.f32 (log1p.f32 (.f32 -4/3 (+.f32 s -1/4))) (*.f32 u -3))
(.f32 u (.f32 (log.f32 (+.f32 (*.f32 -4/3 s) 4/3)) -3))
(.f32 u (.f32 (log.f32 (fma.f32 -4/3 s 4/3)) -3))
(.f32 (log.f32 (fma.f32 s -4/3 4/3)) (.f32 u -3))

Compiler

Compiled 16 to 14 computations (12.5% saved)

simplify47.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

764×	`fma-def_binary32`
494×	`fma-neg_binary32`
125×	`cancel-sign-sub-inv_binary32`
104×	`distribute-rgt-in_binary32`
87×	`sub-neg_binary32`

Iterations

Useful iterations: 6 (0.0ms)

Iter	Nodes	Cost
0	14	20
1	33	19
2	61	17
3	139	15
4	242	15
5	334	15
6	441	13
7	635	13
8	1013	13
9	1273	13
10	1659	13
11	1921	13
12	2358	13
13	2674	13
14	2709	13
15	2710	13
16	2710	13

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

Inputs
(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))

Outputs
(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
(.f32 3 (.f32 s (neg.f32 (log.f32 (-.f32 1 (/.f32 (+.f32 u -1/4) 3/4))))))
(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (/.f32 (neg.f32 (+.f32 u -1/4)) 3/4))))
(.f32 s (.f32 -3 (log1p.f32 (+.f32 (neg.f32 (/.f32 u 3/4)) 1/3))))
(.f32 s (.f32 (log.f32 (-.f32 4/3 (/.f32 u 3/4))) -3))
(.f32 (log.f32 (+.f32 (/.f32 u -3/4) 4/3)) (.f32 s -3))
(.f32 (log.f32 (+.f32 (.f32 -4/3 u) 4/3)) (*.f32 s -3))
(.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))

prune4.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.5b

Counts

3 → 2

Alt Table

Status	Error	Program
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
▶	0.7b	(.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))

Compiler

Compiled 79 to 67 computations (15.2% saved)

localize21.0ms (0.6%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.4b	(fma.f32 u -4/3 1/3)
✓	0.4b	(.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))
✓	0.4b	(log1p.f32 (fma.f32 u -4/3 1/3))

series53.0ms (1.5%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
46.0ms	s	@	0	(.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))
1.0ms	s	@	inf	(.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))
1.0ms	u	@	inf	(log1p.f32 (fma.f32 u -4/3 1/3))
1.0ms	u	@	0	(log1p.f32 (fma.f32 u -4/3 1/3))
1.0ms	u	@	inf	(.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))

rewrite50.0ms (1.4%)

Algorithm

1×	batch-egg-rewrite

Rules

823×	`expm1-log1p-u_binary32`
822×	`log1p-expm1-u_binary32`
97×	`add-sqr-sqrt_binary32`
92×	`add-exp-log_binary32`
92×	`add-log-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	25
1	202	25
2	2216	25

Stop Event

1×	node limit

Counts

3 → 54

Calls

Call 1

Inputs
(log1p.f32 (fma.f32 u -4/3 1/3))
(.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))
(fma.f32 u -4/3 1/3)

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

Outputs

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

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

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

simplify40.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

363×	`fma-def_binary32`
278×	`associate-l_binary32`
264×	`sub-neg_binary32`
244×	`associate--l+_binary32`
204×	`associate-r_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	85	764
1	245	730
2	703	707
3	2295	696

Stop Event

1×	node limit

Counts

102 → 109

Calls

Call 1

Inputs
(log.f32 4/3)
(+.f32 (log.f32 4/3) (*.f32 -1 u))
(+.f32 (log.f32 4/3) (+.f32 (.f32 -1/2 (pow.f32 u 2)) (.f32 -1 u)))
(+.f32 (.f32 -1/3 (pow.f32 u 3)) (+.f32 (log.f32 4/3) (+.f32 (.f32 -1/2 (pow.f32 u 2)) (*.f32 -1 u))))
(+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4/3)) (/.f32 1 u))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4/3)) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 2))) (/.f32 1 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4/3)) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u 3))) (/.f32 1 u))))
(+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4/3)) (/.f32 1 u))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4/3)) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 2))) (/.f32 1 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4/3)) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u 3))) (/.f32 1 u))))
(.f32 -3 (.f32 s (log.f32 4/3)))
(+.f32 (.f32 3 (.f32 s u)) (.f32 -3 (.f32 s (log.f32 4/3))))
(+.f32 (.f32 3/2 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 3 (.f32 s u)) (.f32 -3 (.f32 s (log.f32 4/3)))))
(+.f32 (.f32 3/2 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 3 (.f32 s u)) (+.f32 (.f32 s (pow.f32 u 3)) (.f32 -3 (*.f32 s (log.f32 4/3))))))
(.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))
(+.f32 (.f32 3 (/.f32 s u)) (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))))
(+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))
(+.f32 (.f32 3 (/.f32 s u)) (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))))
(+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
1/3
(+.f32 (*.f32 -4/3 u) 1/3)
(+.f32 (*.f32 -4/3 u) 1/3)
(+.f32 (*.f32 -4/3 u) 1/3)
(*.f32 -4/3 u)
(+.f32 1/3 (*.f32 -4/3 u))
(+.f32 1/3 (*.f32 -4/3 u))
(+.f32 1/3 (*.f32 -4/3 u))
(*.f32 -4/3 u)
(+.f32 1/3 (*.f32 -4/3 u))
(+.f32 1/3 (*.f32 -4/3 u))
(+.f32 1/3 (*.f32 -4/3 u))

Outputs
(log.f32 4/3)
(+.f32 (log.f32 4/3) (*.f32 -1 u))
(+.f32 (log.f32 4/3) (neg.f32 u))
(-.f32 (log.f32 4/3) u)
(+.f32 (log.f32 4/3) (+.f32 (.f32 -1/2 (pow.f32 u 2)) (.f32 -1 u)))
(+.f32 (log.f32 4/3) (fma.f32 -1/2 (*.f32 u u) (neg.f32 u)))
(+.f32 (log.f32 4/3) (-.f32 (.f32 u (.f32 u -1/2)) u))
(-.f32 (fma.f32 u (*.f32 u -1/2) (log.f32 4/3)) u)
(+.f32 (.f32 -1/3 (pow.f32 u 3)) (+.f32 (log.f32 4/3) (+.f32 (.f32 -1/2 (pow.f32 u 2)) (*.f32 -1 u))))
(fma.f32 -1/3 (pow.f32 u 3) (+.f32 (log.f32 4/3) (fma.f32 -1/2 (*.f32 u u) (neg.f32 u))))
(+.f32 (-.f32 (.f32 u (.f32 u -1/2)) u) (fma.f32 -1/3 (pow.f32 u 3) (log.f32 4/3)))
(-.f32 (fma.f32 -1/3 (pow.f32 u 3) (fma.f32 u (*.f32 u -1/2) (log.f32 4/3))) u)
(+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))
(fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3))
(+.f32 (log.f32 -4/3) (log.f32 u))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4/3)) (/.f32 1 u))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3)) (/.f32 1 u))
(+.f32 (log.f32 -4/3) (-.f32 (log.f32 u) (/.f32 1 u)))
(+.f32 (log.f32 -4/3) (+.f32 (log.f32 u) (/.f32 -1 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4/3)) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 2))) (/.f32 1 u)))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3)) (+.f32 (/.f32 1 u) (/.f32 1/2 (*.f32 u u))))
(+.f32 (log.f32 -4/3) (-.f32 (log.f32 u) (+.f32 (/.f32 1 u) (/.f32 1/2 (*.f32 u u)))))
(+.f32 (log.f32 -4/3) (+.f32 (log.f32 u) (+.f32 (/.f32 -1 u) (/.f32 -1/2 (*.f32 u u)))))
(+.f32 (log.f32 -4/3) (+.f32 (/.f32 -1 u) (+.f32 (log.f32 u) (/.f32 -1/2 (*.f32 u u)))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4/3)) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u 3))) (/.f32 1 u))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3)) (+.f32 (/.f32 1/2 (*.f32 u u)) (+.f32 (/.f32 1 u) (/.f32 1/3 (pow.f32 u 3)))))
(+.f32 (log.f32 -4/3) (-.f32 (log.f32 u) (+.f32 (/.f32 1/2 (*.f32 u u)) (+.f32 (/.f32 1 u) (/.f32 1/3 (pow.f32 u 3))))))
(+.f32 (log.f32 -4/3) (-.f32 (+.f32 (log.f32 u) (/.f32 -1/2 (*.f32 u u))) (+.f32 (/.f32 1 u) (/.f32 1/3 (pow.f32 u 3)))))
(+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))
(fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3))
(-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u)))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4/3)) (/.f32 1 u))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3)) (/.f32 1 u))
(+.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (/.f32 -1 u))
(-.f32 (log.f32 4/3) (+.f32 (log.f32 (/.f32 -1 u)) (/.f32 1 u)))
(+.f32 (log.f32 4/3) (-.f32 (/.f32 -1 u) (log.f32 (/.f32 -1 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4/3)) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 2))) (/.f32 1 u)))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3)) (+.f32 (/.f32 1 u) (/.f32 1/2 (*.f32 u u))))
(-.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (+.f32 (/.f32 1 u) (/.f32 1/2 (*.f32 u u))))
(+.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (+.f32 (/.f32 -1 u) (/.f32 -1/2 (*.f32 u u))))
(+.f32 (log.f32 4/3) (-.f32 (+.f32 (/.f32 -1 u) (/.f32 -1/2 (*.f32 u u))) (log.f32 (/.f32 -1 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4/3)) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u 3))) (/.f32 1 u))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3)) (+.f32 (/.f32 1/2 (*.f32 u u)) (+.f32 (/.f32 1 u) (/.f32 1/3 (pow.f32 u 3)))))
(-.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (+.f32 (/.f32 1/2 (*.f32 u u)) (+.f32 (/.f32 1 u) (/.f32 1/3 (pow.f32 u 3)))))
(+.f32 (-.f32 (log.f32 4/3) (-.f32 (log.f32 (/.f32 -1 u)) (/.f32 -1/2 (*.f32 u u)))) (-.f32 (/.f32 -1 u) (/.f32 1/3 (pow.f32 u 3))))
(+.f32 (log.f32 4/3) (+.f32 (-.f32 (+.f32 (/.f32 -1 u) (/.f32 -1/2 (*.f32 u u))) (log.f32 (/.f32 -1 u))) (/.f32 -1/3 (pow.f32 u 3))))
(.f32 -3 (.f32 s (log.f32 4/3)))
(.f32 -3 (.f32 (log.f32 4/3) s))
(.f32 (log.f32 4/3) (.f32 -3 s))
(+.f32 (.f32 3 (.f32 s u)) (.f32 -3 (.f32 s (log.f32 4/3))))
(fma.f32 3 (.f32 u s) (.f32 -3 (*.f32 (log.f32 4/3) s)))
(fma.f32 -3 (.f32 (log.f32 4/3) s) (.f32 s (*.f32 u 3)))
(.f32 s (+.f32 (.f32 u 3) (*.f32 (log.f32 4/3) -3)))
(.f32 s (+.f32 (.f32 (log.f32 4/3) -3) (*.f32 u 3)))
(+.f32 (.f32 3/2 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 3 (.f32 s u)) (.f32 -3 (.f32 s (log.f32 4/3)))))
(fma.f32 3/2 (.f32 (.f32 u u) s) (fma.f32 3 (.f32 u s) (.f32 -3 (*.f32 (log.f32 4/3) s))))
(fma.f32 3/2 (.f32 (.f32 u u) s) (fma.f32 -3 (.f32 (log.f32 4/3) s) (.f32 s (*.f32 u 3))))
(fma.f32 (.f32 u u) (.f32 s 3/2) (.f32 s (+.f32 (.f32 u 3) (*.f32 (log.f32 4/3) -3))))
(.f32 s (+.f32 (.f32 (log.f32 4/3) -3) (.f32 u (+.f32 3 (.f32 3/2 u)))))
(+.f32 (.f32 3/2 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 3 (.f32 s u)) (+.f32 (.f32 s (pow.f32 u 3)) (.f32 -3 (*.f32 s (log.f32 4/3))))))
(fma.f32 3/2 (.f32 (.f32 u u) s) (fma.f32 3 (.f32 u s) (fma.f32 s (pow.f32 u 3) (.f32 -3 (*.f32 (log.f32 4/3) s)))))
(fma.f32 3/2 (.f32 (.f32 u u) s) (fma.f32 3 (.f32 u s) (fma.f32 (pow.f32 u 3) s (.f32 (log.f32 4/3) (*.f32 -3 s)))))
(fma.f32 (.f32 u u) (.f32 s 3/2) (fma.f32 (log.f32 4/3) (.f32 -3 s) (.f32 s (+.f32 (*.f32 u 3) (pow.f32 u 3)))))
(.f32 s (+.f32 (+.f32 (pow.f32 u 3) (.f32 (log.f32 4/3) -3)) (.f32 u (+.f32 (.f32 3/2 u) 3))))
(.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))
(.f32 (.f32 -3 s) (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3)))
(.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (.f32 -3 s))
(+.f32 (.f32 3 (/.f32 s u)) (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))))
(fma.f32 3 (/.f32 s u) (.f32 (.f32 -3 s) (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3))))
(fma.f32 -3 (.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) s) (.f32 3 (/.f32 s u)))
(fma.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (.f32 -3 s) (.f32 3 (/.f32 s u)))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) -3) (/.f32 3 u)))
(+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(fma.f32 3 (/.f32 s u) (fma.f32 -3 (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3)) s) (.f32 3/2 (/.f32 s (*.f32 u u)))))
(fma.f32 3 (/.f32 s u) (fma.f32 -3 (.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) s) (.f32 3/2 (/.f32 s (*.f32 u u)))))
(fma.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (.f32 -3 s) (.f32 (/.f32 s u) (+.f32 (/.f32 3/2 u) 3)))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(+.f32 (fma.f32 3 (/.f32 s u) (fma.f32 -3 (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3)) s) (.f32 3/2 (/.f32 s (*.f32 u u))))) (/.f32 s (pow.f32 u 3)))
(+.f32 (fma.f32 3 (/.f32 s u) (fma.f32 -3 (.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) s) (.f32 3/2 (/.f32 s (*.f32 u u))))) (/.f32 s (pow.f32 u 3)))
(+.f32 (fma.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (.f32 -3 s) (.f32 (/.f32 s u) (+.f32 (/.f32 3/2 u) 3))) (/.f32 s (pow.f32 u 3)))
(.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))
(.f32 (.f32 -3 s) (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3)))
(.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (.f32 -3 s))
(+.f32 (.f32 3 (/.f32 s u)) (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))))
(fma.f32 3 (/.f32 s u) (.f32 (.f32 -3 s) (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3))))
(fma.f32 3 (/.f32 s u) (.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (.f32 -3 s)))
(.f32 s (+.f32 (/.f32 3 u) (.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) -3)))
(+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(fma.f32 3 (/.f32 s u) (fma.f32 -3 (.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3)) s) (.f32 3/2 (/.f32 s (*.f32 u u)))))
(fma.f32 3 (/.f32 s u) (fma.f32 3/2 (/.f32 s (.f32 u u)) (.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s))))
(fma.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (.f32 -3 s) (.f32 (/.f32 s u) (+.f32 (/.f32 3/2 u) 3)))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 3 (/.f32 s u) (fma.f32 -3 (.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3)) s) (.f32 3/2 (/.f32 s (*.f32 u u))))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 3 (/.f32 s u) (fma.f32 3/2 (/.f32 s (.f32 u u)) (.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (.f32 -3 s) (.f32 (/.f32 s u) (+.f32 (/.f32 3/2 u) 3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
1/3
(+.f32 (*.f32 -4/3 u) 1/3)
(fma.f32 -4/3 u 1/3)
(fma.f32 u -4/3 1/3)
(+.f32 (*.f32 -4/3 u) 1/3)
(fma.f32 -4/3 u 1/3)
(fma.f32 u -4/3 1/3)
(+.f32 (*.f32 -4/3 u) 1/3)
(fma.f32 -4/3 u 1/3)
(fma.f32 u -4/3 1/3)
(*.f32 -4/3 u)
(*.f32 u -4/3)
(+.f32 1/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 1/3)
(fma.f32 u -4/3 1/3)
(+.f32 1/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 1/3)
(fma.f32 u -4/3 1/3)
(+.f32 1/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 1/3)
(fma.f32 u -4/3 1/3)
(*.f32 -4/3 u)
(*.f32 u -4/3)
(+.f32 1/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 1/3)
(fma.f32 u -4/3 1/3)
(+.f32 1/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 1/3)
(fma.f32 u -4/3 1/3)
(+.f32 1/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 1/3)
(fma.f32 u -4/3 1/3)

prune94.0ms (2.7%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	98	11	109
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	99	12	111

Error

0.1b

Counts

111 → 12

Alt Table

Status	Error	Program
▶	0.9b	(.f32 (log1p.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) (cbrt.f32 (pow.f32 (fma.f32 u -4/3 1/3) 2)))) (*.f32 s -3))
	0.9b	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
	1.2b	(log1p.f32 (expm1.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))))
	0.9b	(pow.f32 (sqrt.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))) 2)
	1.0b	(pow.f32 (cbrt.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))) 3)
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	10.4b	(.f32 (expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 u -4/3 1/3)))) (.f32 s -3))
	1.0b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 3) (.f32 s -3))
	1.0b	(.f32 (.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 2)) (*.f32 s -3))
	1.2b	(.f32 (log1p.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) 3)) (.f32 s -3))
	1.0b	(.f32 (log1p.f32 (+.f32 (.f32 -4/3 u) 1/3)) (*.f32 s -3))
	2.9b	(exp.f32 (log.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))))

Compiler

Compiled 1963 to 1575 computations (19.8% saved)

localize42.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(fma.f32 u -4/3 1/3)
✓	0.4b	(.f32 (log1p.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) (cbrt.f32 (pow.f32 (fma.f32 u -4/3 1/3) 2)))) (*.f32 s -3))
✓	0.4b	(log1p.f32 (*.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) (cbrt.f32 (pow.f32 (fma.f32 u -4/3 1/3) 2))))
✓	0.4b	(pow.f32 (fma.f32 u -4/3 1/3) 2)

series4.0ms (0.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u	@	0	(pow.f32 (fma.f32 u -4/3 1/3) 2)
0.0ms	u	@	inf	(pow.f32 (fma.f32 u -4/3 1/3) 2)
0.0ms	u	@	-inf	(pow.f32 (fma.f32 u -4/3 1/3) 2)
0.0ms	u	@	inf	(log1p.f32 (*.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) (cbrt.f32 (pow.f32 (fma.f32 u -4/3 1/3) 2))))
0.0ms	u	@	-inf	(.f32 (log1p.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) (cbrt.f32 (pow.f32 (fma.f32 u -4/3 1/3) 2)))) (*.f32 s -3))

rewrite56.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

552×	`log-prod_binary32`
222×	`expm1-udef_binary32`
222×	`log1p-udef_binary32`
183×	`log-pow_binary32`
139×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	52
1	302	28
2	3188	28

Stop Event

1×	node limit

Counts

3 → 67

Calls

Call 1

Inputs
(pow.f32 (fma.f32 u -4/3 1/3) 2)
(log1p.f32 (*.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) (cbrt.f32 (pow.f32 (fma.f32 u -4/3 1/3) 2))))
(.f32 (log1p.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) (cbrt.f32 (pow.f32 (fma.f32 u -4/3 1/3) 2)))) (*.f32 s -3))

Inputs

(pow.f32 (fma.f32 u -4/3 1/3) 2)

(log1p.f32 (*.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) (cbrt.f32 (pow.f32 (fma.f32 u -4/3 1/3) 2))))

(*.f32 (log1p.f32 (*.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) (cbrt.f32 (pow.f32 (fma.f32 u -4/3 1/3) 2)))) (*.f32 s -3))

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

Outputs

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

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

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

simplify41.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

380×	`fma-def_binary32`
300×	`associate-l_binary32`
264×	`sub-neg_binary32`
216×	`associate-r_binary32`
172×	`associate--l-_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	94	824
1	265	790
2	732	765
3	2355	754

Stop Event

1×	node limit

Counts

115 → 126

Calls

Call 1

Inputs
1/9
(+.f32 (*.f32 -8/9 u) 1/9)
(+.f32 (.f32 -8/9 u) (+.f32 (.f32 16/9 (pow.f32 u 2)) 1/9))
(+.f32 (.f32 -8/9 u) (+.f32 (.f32 16/9 (pow.f32 u 2)) 1/9))
(*.f32 16/9 (pow.f32 u 2))
(+.f32 (.f32 -8/9 u) (.f32 16/9 (pow.f32 u 2)))
(+.f32 (.f32 -8/9 u) (+.f32 1/9 (.f32 16/9 (pow.f32 u 2))))
(+.f32 (.f32 -8/9 u) (+.f32 1/9 (.f32 16/9 (pow.f32 u 2))))
(*.f32 16/9 (pow.f32 u 2))
(+.f32 (.f32 -8/9 u) (.f32 16/9 (pow.f32 u 2)))
(+.f32 (.f32 -8/9 u) (+.f32 1/9 (.f32 16/9 (pow.f32 u 2))))
(+.f32 (.f32 -8/9 u) (+.f32 1/9 (.f32 16/9 (pow.f32 u 2))))
(log.f32 4/3)
(+.f32 (log.f32 4/3) (*.f32 -1 u))
(+.f32 (log.f32 4/3) (+.f32 (.f32 -1/2 (pow.f32 u 2)) (.f32 -1 u)))
(+.f32 (.f32 -1/3 (pow.f32 u 3)) (+.f32 (log.f32 4/3) (+.f32 (.f32 -1/2 (pow.f32 u 2)) (*.f32 -1 u))))
(+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4/3)) (/.f32 1 u))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4/3)) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 2))) (/.f32 1 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4/3)) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u 3))) (/.f32 1 u))))
(+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4/3)) (/.f32 1 u))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4/3)) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 2))) (/.f32 1 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4/3)) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u 3))) (/.f32 1 u))))
(.f32 -3 (.f32 s (log.f32 4/3)))
(+.f32 (.f32 3 (.f32 s u)) (.f32 -3 (.f32 s (log.f32 4/3))))
(+.f32 (.f32 3/2 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 3 (.f32 s u)) (.f32 -3 (.f32 s (log.f32 4/3)))))
(+.f32 (.f32 3/2 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 3 (.f32 s u)) (+.f32 (.f32 s (pow.f32 u 3)) (.f32 -3 (*.f32 s (log.f32 4/3))))))
(.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))
(+.f32 (.f32 3 (/.f32 s u)) (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))))
(+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))
(+.f32 (.f32 3 (/.f32 s u)) (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))))
(+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))

Outputs
1/9
(+.f32 (*.f32 -8/9 u) 1/9)
(fma.f32 -8/9 u 1/9)
(+.f32 (.f32 -8/9 u) (+.f32 (.f32 16/9 (pow.f32 u 2)) 1/9))
(fma.f32 -8/9 u (fma.f32 16/9 (*.f32 u u) 1/9))
(fma.f32 -8/9 u (fma.f32 u (*.f32 u 16/9) 1/9))
(fma.f32 u (*.f32 u 16/9) (fma.f32 -8/9 u 1/9))
(+.f32 (.f32 -8/9 u) (+.f32 (.f32 16/9 (pow.f32 u 2)) 1/9))
(fma.f32 -8/9 u (fma.f32 16/9 (*.f32 u u) 1/9))
(fma.f32 -8/9 u (fma.f32 u (*.f32 u 16/9) 1/9))
(fma.f32 u (*.f32 u 16/9) (fma.f32 -8/9 u 1/9))
(*.f32 16/9 (pow.f32 u 2))
(.f32 16/9 (.f32 u u))
(.f32 u (.f32 u 16/9))
(+.f32 (.f32 -8/9 u) (.f32 16/9 (pow.f32 u 2)))
(fma.f32 -8/9 u (.f32 16/9 (.f32 u u)))
(fma.f32 16/9 (.f32 u u) (.f32 -8/9 u))
(.f32 u (+.f32 -8/9 (.f32 u 16/9)))
(+.f32 (.f32 -8/9 u) (+.f32 1/9 (.f32 16/9 (pow.f32 u 2))))
(fma.f32 -8/9 u (fma.f32 16/9 (*.f32 u u) 1/9))
(fma.f32 -8/9 u (fma.f32 u (*.f32 u 16/9) 1/9))
(fma.f32 u (*.f32 u 16/9) (fma.f32 -8/9 u 1/9))
(+.f32 (.f32 -8/9 u) (+.f32 1/9 (.f32 16/9 (pow.f32 u 2))))
(fma.f32 -8/9 u (fma.f32 16/9 (*.f32 u u) 1/9))
(fma.f32 -8/9 u (fma.f32 u (*.f32 u 16/9) 1/9))
(fma.f32 u (*.f32 u 16/9) (fma.f32 -8/9 u 1/9))
(*.f32 16/9 (pow.f32 u 2))
(.f32 16/9 (.f32 u u))
(.f32 u (.f32 u 16/9))
(+.f32 (.f32 -8/9 u) (.f32 16/9 (pow.f32 u 2)))
(fma.f32 -8/9 u (.f32 16/9 (.f32 u u)))
(fma.f32 16/9 (.f32 u u) (.f32 -8/9 u))
(.f32 u (+.f32 -8/9 (.f32 u 16/9)))
(+.f32 (.f32 -8/9 u) (+.f32 1/9 (.f32 16/9 (pow.f32 u 2))))
(fma.f32 -8/9 u (fma.f32 16/9 (*.f32 u u) 1/9))
(fma.f32 -8/9 u (fma.f32 u (*.f32 u 16/9) 1/9))
(fma.f32 u (*.f32 u 16/9) (fma.f32 -8/9 u 1/9))
(+.f32 (.f32 -8/9 u) (+.f32 1/9 (.f32 16/9 (pow.f32 u 2))))
(fma.f32 -8/9 u (fma.f32 16/9 (*.f32 u u) 1/9))
(fma.f32 -8/9 u (fma.f32 u (*.f32 u 16/9) 1/9))
(fma.f32 u (*.f32 u 16/9) (fma.f32 -8/9 u 1/9))
(log.f32 4/3)
(+.f32 (log.f32 4/3) (*.f32 -1 u))
(+.f32 (log.f32 4/3) (neg.f32 u))
(-.f32 (log.f32 4/3) u)
(+.f32 (log.f32 4/3) (+.f32 (.f32 -1/2 (pow.f32 u 2)) (.f32 -1 u)))
(+.f32 (log.f32 4/3) (fma.f32 -1/2 (*.f32 u u) (neg.f32 u)))
(+.f32 (log.f32 4/3) (-.f32 (.f32 u (.f32 u -1/2)) u))
(-.f32 (fma.f32 u (*.f32 u -1/2) (log.f32 4/3)) u)
(+.f32 (.f32 -1/3 (pow.f32 u 3)) (+.f32 (log.f32 4/3) (+.f32 (.f32 -1/2 (pow.f32 u 2)) (*.f32 -1 u))))
(fma.f32 -1/3 (pow.f32 u 3) (+.f32 (log.f32 4/3) (fma.f32 -1/2 (*.f32 u u) (neg.f32 u))))
(+.f32 (-.f32 (.f32 u (.f32 u -1/2)) u) (fma.f32 -1/3 (pow.f32 u 3) (log.f32 4/3)))
(-.f32 (fma.f32 -1/3 (pow.f32 u 3) (fma.f32 u (*.f32 u -1/2) (log.f32 4/3))) u)
(fma.f32 -1/3 (pow.f32 u 3) (-.f32 (fma.f32 u (*.f32 u -1/2) (log.f32 4/3)) u))
(+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))
(fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3))
(+.f32 (log.f32 -4/3) (log.f32 u))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4/3)) (/.f32 1 u))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3)) (/.f32 1 u))
(+.f32 (log.f32 -4/3) (-.f32 (log.f32 u) (/.f32 1 u)))
(+.f32 (log.f32 -4/3) (+.f32 (log.f32 u) (/.f32 -1 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4/3)) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 2))) (/.f32 1 u)))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3)) (+.f32 (/.f32 1 u) (/.f32 1/2 (*.f32 u u))))
(+.f32 (log.f32 -4/3) (-.f32 (log.f32 u) (+.f32 (/.f32 1 u) (/.f32 1/2 (*.f32 u u)))))
(+.f32 (/.f32 -1 u) (+.f32 (log.f32 -4/3) (+.f32 (log.f32 u) (/.f32 -1/2 (*.f32 u u)))))
(+.f32 (log.f32 -4/3) (-.f32 (+.f32 (log.f32 u) (/.f32 -1 u)) (/.f32 1/2 (*.f32 u u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4/3)) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u 3))) (/.f32 1 u))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3)) (+.f32 (/.f32 1/2 (*.f32 u u)) (+.f32 (/.f32 1 u) (/.f32 1/3 (pow.f32 u 3)))))
(+.f32 (log.f32 u) (-.f32 (-.f32 (log.f32 -4/3) (/.f32 1/2 (*.f32 u u))) (+.f32 (/.f32 1 u) (/.f32 1/3 (pow.f32 u 3)))))
(+.f32 (log.f32 u) (+.f32 (-.f32 (+.f32 (log.f32 -4/3) (/.f32 -1 u)) (/.f32 1/3 (pow.f32 u 3))) (/.f32 -1/2 (*.f32 u u))))
(+.f32 (log.f32 -4/3) (+.f32 (-.f32 (+.f32 (log.f32 u) (/.f32 -1 u)) (/.f32 1/2 (*.f32 u u))) (/.f32 -1/3 (pow.f32 u 3))))
(+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))
(fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3))
(-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u)))
(-.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4/3)) (/.f32 1 u))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3)) (/.f32 1 u))
(+.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (/.f32 -1 u))
(-.f32 (+.f32 (log.f32 4/3) (/.f32 -1 u)) (log.f32 (/.f32 -1 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4/3)) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 2))) (/.f32 1 u)))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3)) (+.f32 (/.f32 1 u) (/.f32 1/2 (*.f32 u u))))
(-.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (+.f32 (/.f32 1 u) (/.f32 1/2 (*.f32 u u))))
(+.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (+.f32 (/.f32 -1 u) (/.f32 -1/2 (*.f32 u u))))
(+.f32 (/.f32 -1/2 (*.f32 u u)) (-.f32 (+.f32 (log.f32 4/3) (/.f32 -1 u)) (log.f32 (/.f32 -1 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4/3)) (+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (*.f32 1/3 (/.f32 1 (pow.f32 u 3))) (/.f32 1 u))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3)) (+.f32 (/.f32 1/2 (*.f32 u u)) (+.f32 (/.f32 1 u) (/.f32 1/3 (pow.f32 u 3)))))
(-.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (+.f32 (/.f32 1/2 (*.f32 u u)) (+.f32 (/.f32 1 u) (/.f32 1/3 (pow.f32 u 3)))))
(+.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (-.f32 (/.f32 -1 u) (+.f32 (/.f32 1/2 (*.f32 u u)) (/.f32 1/3 (pow.f32 u 3)))))
(-.f32 (log.f32 4/3) (+.f32 (+.f32 (/.f32 1/2 (*.f32 u u)) (+.f32 (/.f32 1 u) (/.f32 1/3 (pow.f32 u 3)))) (log.f32 (/.f32 -1 u))))
(.f32 -3 (.f32 s (log.f32 4/3)))
(.f32 -3 (.f32 (log.f32 4/3) s))
(.f32 (log.f32 4/3) (.f32 -3 s))
(+.f32 (.f32 3 (.f32 s u)) (.f32 -3 (.f32 s (log.f32 4/3))))
(fma.f32 3 (.f32 u s) (.f32 -3 (*.f32 (log.f32 4/3) s)))
(fma.f32 -3 (.f32 (log.f32 4/3) s) (.f32 s (*.f32 u 3)))
(.f32 s (+.f32 (.f32 (log.f32 4/3) -3) (*.f32 u 3)))
(+.f32 (.f32 3/2 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 3 (.f32 s u)) (.f32 -3 (.f32 s (log.f32 4/3)))))
(fma.f32 3/2 (.f32 (.f32 u u) s) (fma.f32 3 (.f32 u s) (.f32 -3 (*.f32 (log.f32 4/3) s))))
(fma.f32 (.f32 s 3/2) (.f32 u u) (fma.f32 -3 (.f32 (log.f32 4/3) s) (.f32 s (*.f32 u 3))))
(fma.f32 (.f32 u u) (.f32 s 3/2) (.f32 s (+.f32 (.f32 (log.f32 4/3) -3) (*.f32 u 3))))
(.f32 s (+.f32 (.f32 (log.f32 4/3) -3) (.f32 u (+.f32 (.f32 3/2 u) 3))))
(+.f32 (.f32 3/2 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 3 (.f32 s u)) (+.f32 (.f32 s (pow.f32 u 3)) (.f32 -3 (*.f32 s (log.f32 4/3))))))
(fma.f32 3/2 (.f32 (.f32 u u) s) (fma.f32 3 (.f32 u s) (fma.f32 s (pow.f32 u 3) (.f32 -3 (*.f32 (log.f32 4/3) s)))))
(fma.f32 3/2 (.f32 u (.f32 u s)) (fma.f32 3 (.f32 u s) (fma.f32 (pow.f32 u 3) s (.f32 (log.f32 4/3) (*.f32 -3 s)))))
(fma.f32 u (.f32 3 s) (fma.f32 (.f32 u u) (.f32 s 3/2) (.f32 s (+.f32 (pow.f32 u 3) (*.f32 (log.f32 4/3) -3)))))
(.f32 s (+.f32 (+.f32 (.f32 (log.f32 4/3) -3) (pow.f32 u 3)) (.f32 u (+.f32 3 (.f32 3/2 u)))))
(.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))
(.f32 (.f32 -3 s) (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3)))
(.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (.f32 -3 s))
(+.f32 (.f32 3 (/.f32 s u)) (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))))
(fma.f32 3 (/.f32 s u) (.f32 (.f32 -3 s) (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3))))
(fma.f32 -3 (.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) s) (.f32 3 (/.f32 s u)))
(fma.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (*.f32 -3 s) (/.f32 3 (/.f32 u s)))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) -3) (/.f32 3 u)))
(+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(fma.f32 3 (/.f32 s u) (fma.f32 -3 (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3)) s) (.f32 3/2 (/.f32 s (*.f32 u u)))))
(fma.f32 3 (/.f32 s u) (fma.f32 -3 (.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) s) (.f32 3/2 (/.f32 s (*.f32 u u)))))
(fma.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (.f32 -3 s) (.f32 (/.f32 s u) (+.f32 3 (/.f32 3/2 u))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(+.f32 (fma.f32 3 (/.f32 s u) (fma.f32 -3 (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4/3)) s) (.f32 3/2 (/.f32 s (*.f32 u u))))) (/.f32 s (pow.f32 u 3)))
(+.f32 (fma.f32 3 (/.f32 s u) (fma.f32 -3 (.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) s) (.f32 3/2 (/.f32 s (*.f32 u u))))) (/.f32 s (pow.f32 u 3)))
(+.f32 (fma.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (.f32 -3 s) (.f32 (/.f32 s u) (+.f32 3 (/.f32 3/2 u)))) (/.f32 s (pow.f32 u 3)))
(.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))
(.f32 (.f32 -3 s) (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3)))
(.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (.f32 -3 s))
(+.f32 (.f32 3 (/.f32 s u)) (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))))
(fma.f32 3 (/.f32 s u) (.f32 (.f32 -3 s) (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3))))
(fma.f32 3 (/.f32 s u) (.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (.f32 -3 s)))
(.f32 s (+.f32 (.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) -3) (/.f32 3 u)))
(+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(fma.f32 3 (/.f32 s u) (fma.f32 -3 (.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3)) s) (.f32 3/2 (/.f32 s (*.f32 u u)))))
(fma.f32 3 (/.f32 s u) (fma.f32 3/2 (/.f32 s (.f32 u u)) (.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s))))
(fma.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (.f32 -3 s) (.f32 (/.f32 s u) (+.f32 3 (/.f32 3/2 u))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 3 (/.f32 s u) (fma.f32 -3 (.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4/3)) s) (.f32 3/2 (/.f32 s (*.f32 u u))))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 3 (/.f32 s u) (fma.f32 3/2 (/.f32 s (.f32 u u)) (.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (.f32 -3 s) (.f32 (/.f32 s u) (+.f32 3 (/.f32 3/2 u)))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 -3 s))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 -3 s))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 -3 s))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 -3 s))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 -3 s))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 -3 s))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 -3 s))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 -3 s))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 -3 s))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 -3 s))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 -3 s))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 -3 s))

prune154.0ms (4.4%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	180	4	184
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	180	16	196

Error

0.1b

Counts

196 → 16

Alt Table

Status	Error	Program
	1.2b	(log1p.f32 (expm1.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))))
	0.9b	(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 -3 s))
	10.4b	(.f32 (expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 u -4/3 1/3)))) (.f32 s -3))
	1.0b	(.f32 (log1p.f32 (.f32 (cbrt.f32 (log.f32 (exp.f32 (fma.f32 u -4/3 1/3)))) (cbrt.f32 (pow.f32 (fma.f32 u -4/3 1/3) 2)))) (*.f32 s -3))
	1.0b	(.f32 (log1p.f32 (+.f32 (.f32 -4/3 u) 1/3)) (*.f32 s -3))
	1.3b	(.f32 (-.f32 (log1p.f32 (pow.f32 (fma.f32 u -4/3 1/3) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (fma.f32 u -4/3 1/3) 2) (fma.f32 u -4/3 1/3))))) (.f32 s -3))
✓	0.9b	(.f32 (log1p.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) (cbrt.f32 (pow.f32 (fma.f32 u -4/3 1/3) 2)))) (*.f32 s -3))
	0.9b	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
	1.5b	(.f32 (+.f32 (log.f32 (sqrt.f32 (+.f32 (fma.f32 u -4/3 1/3) 1))) (log.f32 (sqrt.f32 (+.f32 (fma.f32 u -4/3 1/3) 1)))) (.f32 s -3))
▶	0.9b	(pow.f32 (sqrt.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))) 2)
	1.0b	(pow.f32 (cbrt.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))) 3)
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	1.0b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 3) (.f32 s -3))
	1.0b	(.f32 (.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 2)) (*.f32 s -3))
	1.2b	(.f32 (log1p.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) 3)) (.f32 s -3))
	2.9b	(exp.f32 (log.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))))

Compiler

Compiled 4072 to 3365 computations (17.4% saved)

localize29.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.4b	(fma.f32 u -4/3 1/3)
	0.4b	(.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))
	0.4b	(log1p.f32 (fma.f32 u -4/3 1/3))
✓	0.5b	(pow.f32 (sqrt.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))) 2)

series13.0ms (0.4%)

Counts

1 → 12

Calls

6 calls:

Time	Variable		Point	Expression
5.0ms	s	@	-inf	(pow.f32 (sqrt.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))) 2)
2.0ms	s	@	0	(pow.f32 (sqrt.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))) 2)
2.0ms	u	@	-inf	(pow.f32 (sqrt.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))) 2)
2.0ms	u	@	inf	(pow.f32 (sqrt.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))) 2)
1.0ms	u	@	0	(pow.f32 (sqrt.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))) 2)

rewrite46.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

492×	`log-prod_binary32`
281×	`pow2_binary32`
201×	`expm1-udef_binary32`
201×	`log1p-udef_binary32`
198×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	13
1	268	13
2	2664	13

Stop Event

1×	node limit

Counts

1 → 39

Calls

Call 1

Inputs
(pow.f32 (sqrt.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))) 2)

Outputs

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

simplify35.0ms (1%)

Algorithm

1×	egg-herbie

Rules

601×	`times-frac_binary32`
325×	`fma-def_binary32`
167×	`cancel-sign-sub-inv_binary32`
146×	`distribute-rgt-in_binary32`
139×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	68	496
1	180	388
2	519	291
3	2259	286

Stop Event

1×	node limit

Counts

51 → 63

Calls

Call 1

Inputs
(pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 4/3)))) 2)
(+.f32 (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 4/3)))) 2) (.f32 3 (.f32 s u)))
(+.f32 (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 4/3)))) 2) (+.f32 (.f32 3 (.f32 s u)) (.f32 (-.f32 (+.f32 (.f32 9/4 (/.f32 (pow.f32 s 2) (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 4/3)))) 2))) (.f32 3/2 s)) (pow.f32 (.f32 3/2 (/.f32 s (sqrt.f32 (.f32 -3 (.f32 s (log.f32 4/3)))))) 2)) (pow.f32 u 2))))
(+.f32 (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 4/3)))) 2) (+.f32 (.f32 3 (.f32 s u)) (+.f32 (.f32 s (pow.f32 u 3)) (.f32 (-.f32 (+.f32 (.f32 9/4 (/.f32 (pow.f32 s 2) (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 4/3)))) 2))) (.f32 3/2 s)) (pow.f32 (.f32 3/2 (/.f32 s (sqrt.f32 (.f32 -3 (*.f32 s (log.f32 4/3)))))) 2)) (pow.f32 u 2)))))
(pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))) 2)
(+.f32 (.f32 3 (/.f32 s u)) (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u))))))) 2))
(+.f32 (.f32 3 (/.f32 s u)) (+.f32 (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u))))))) 2) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (.f32 3 (/.f32 s u)) (+.f32 (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u))))))) 2) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))) 2)
(+.f32 (.f32 3 (/.f32 s u)) (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u))))))) 2))
(+.f32 (.f32 3 (/.f32 s u)) (+.f32 (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u))))))) 2) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (.f32 3 (/.f32 s u)) (+.f32 (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u))))))) 2) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))

Outputs
(pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 4/3)))) 2)
(.f32 -3 (.f32 s (log.f32 4/3)))
(.f32 (log.f32 4/3) (.f32 -3 s))
(+.f32 (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 4/3)))) 2) (.f32 3 (.f32 s u)))
(fma.f32 3 (.f32 s u) (.f32 -3 (*.f32 s (log.f32 4/3))))
(.f32 s (+.f32 (.f32 -3 (log.f32 4/3)) (*.f32 3 u)))
(+.f32 (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 4/3)))) 2) (+.f32 (.f32 3 (.f32 s u)) (.f32 (-.f32 (+.f32 (.f32 9/4 (/.f32 (pow.f32 s 2) (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 4/3)))) 2))) (.f32 3/2 s)) (pow.f32 (.f32 3/2 (/.f32 s (sqrt.f32 (.f32 -3 (.f32 s (log.f32 4/3)))))) 2)) (pow.f32 u 2))))
(+.f32 (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 4/3)))) 2) (fma.f32 3 (.f32 s u) (.f32 (-.f32 (fma.f32 9/4 (/.f32 (.f32 s s) (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 4/3)))) 2)) (.f32 s 3/2)) (pow.f32 (.f32 3/2 (/.f32 s (sqrt.f32 (.f32 -3 (.f32 s (log.f32 4/3)))))) 2)) (.f32 u u))))
(+.f32 (.f32 -3 (.f32 s (log.f32 4/3))) (fma.f32 3 (.f32 s u) (.f32 (-.f32 (fma.f32 s 3/2 (/.f32 9/4 (/.f32 (.f32 -3 (.f32 s (log.f32 4/3))) (.f32 s s)))) (/.f32 9/4 (/.f32 (.f32 -3 (.f32 s (log.f32 4/3))) (.f32 s s)))) (*.f32 u u))))
(fma.f32 (log.f32 4/3) (.f32 -3 s) (.f32 u (+.f32 (.f32 u (fma.f32 s 3/2 0)) (.f32 s 3))))
(fma.f32 -3 (.f32 s (log.f32 4/3)) (.f32 u (+.f32 (.f32 u (.f32 s 3/2)) (*.f32 s 3))))
(+.f32 (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 4/3)))) 2) (+.f32 (.f32 3 (.f32 s u)) (+.f32 (.f32 s (pow.f32 u 3)) (.f32 (-.f32 (+.f32 (.f32 9/4 (/.f32 (pow.f32 s 2) (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 4/3)))) 2))) (.f32 3/2 s)) (pow.f32 (.f32 3/2 (/.f32 s (sqrt.f32 (.f32 -3 (*.f32 s (log.f32 4/3)))))) 2)) (pow.f32 u 2)))))
(+.f32 (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 4/3)))) 2) (fma.f32 3 (.f32 s u) (fma.f32 s (pow.f32 u 3) (.f32 (-.f32 (fma.f32 9/4 (/.f32 (.f32 s s) (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (log.f32 4/3)))) 2)) (.f32 s 3/2)) (pow.f32 (.f32 3/2 (/.f32 s (sqrt.f32 (.f32 -3 (.f32 s (log.f32 4/3)))))) 2)) (.f32 u u)))))
(+.f32 (.f32 -3 (.f32 s (log.f32 4/3))) (fma.f32 3 (.f32 s u) (fma.f32 (-.f32 (fma.f32 s 3/2 (/.f32 9/4 (/.f32 (.f32 -3 (.f32 s (log.f32 4/3))) (.f32 s s)))) (/.f32 9/4 (/.f32 (.f32 -3 (.f32 s (log.f32 4/3))) (.f32 s s)))) (.f32 u u) (*.f32 s (pow.f32 u 3)))))
(fma.f32 s (.f32 3 u) (fma.f32 (log.f32 4/3) (.f32 -3 s) (.f32 (.f32 u u) (+.f32 (fma.f32 s 3/2 0) (*.f32 s u)))))
(fma.f32 -3 (.f32 s (log.f32 4/3)) (.f32 u (+.f32 (.f32 s 3) (.f32 u (+.f32 (.f32 s 3/2) (.f32 s u))))))
(pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))) 2)
(pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u))))))) 2)
(.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (.f32 -3 s))
(+.f32 (.f32 3 (/.f32 s u)) (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u))))))) 2))
(fma.f32 3 (/.f32 s u) (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u))))))) 2))
(fma.f32 3 (/.f32 s u) (.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (.f32 -3 s)))
(fma.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (.f32 -3 s) (.f32 3 (/.f32 s u)))
(.f32 s (+.f32 (.f32 -3 (+.f32 (log.f32 -4/3) (log.f32 u))) (/.f32 3 u)))
(+.f32 (.f32 3 (/.f32 s u)) (+.f32 (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u))))))) 2) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (fma.f32 3 (/.f32 s u) (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u))))))) 2)) (/.f32 (.f32 s 3/2) (.f32 u u)))
(fma.f32 3 (/.f32 s u) (fma.f32 3/2 (/.f32 s (.f32 u u)) (.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (*.f32 -3 s))))
(fma.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (.f32 -3 s) (.f32 (/.f32 s u) (+.f32 (/.f32 3/2 u) 3)))
(fma.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (log.f32 u))) (.f32 (/.f32 s u) (+.f32 (/.f32 3/2 u) 3)))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (.f32 3 (/.f32 s u)) (+.f32 (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u))))))) 2) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(+.f32 (+.f32 (fma.f32 3 (/.f32 s u) (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u))))))) 2)) (/.f32 (.f32 s 3/2) (.f32 u u))) (/.f32 s (pow.f32 u 3)))
(+.f32 (fma.f32 3 (/.f32 s u) (fma.f32 3/2 (/.f32 s (.f32 u u)) (.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (*.f32 -3 s)))) (/.f32 s (pow.f32 u 3)))
(+.f32 (fma.f32 (+.f32 (log.f32 -4/3) (log.f32 u)) (.f32 -3 s) (.f32 (/.f32 s u) (+.f32 (/.f32 3/2 u) 3))) (/.f32 s (pow.f32 u 3)))
(+.f32 (fma.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (log.f32 u))) (.f32 (/.f32 s u) (+.f32 (/.f32 3/2 u) 3))) (/.f32 s (pow.f32 u 3)))
(pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))) 2)
(pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u))))))) 2)
(.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (.f32 -3 s))
(+.f32 (.f32 3 (/.f32 s u)) (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u))))))) 2))
(fma.f32 3 (/.f32 s u) (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u))))))) 2))
(fma.f32 3 (/.f32 s u) (.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (.f32 -3 s)))
(fma.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (.f32 -3 s) (.f32 3 (/.f32 s u)))
(.f32 s (+.f32 (/.f32 3 u) (.f32 -3 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))))))
(+.f32 (.f32 3 (/.f32 s u)) (+.f32 (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u))))))) 2) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(fma.f32 3 (/.f32 s u) (+.f32 (/.f32 (.f32 s 3/2) (.f32 u u)) (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u))))))) 2)))
(fma.f32 3 (/.f32 s u) (fma.f32 3/2 (/.f32 s (.f32 u u)) (.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s))))
(fma.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (.f32 -3 s) (.f32 (/.f32 s u) (+.f32 (/.f32 3/2 u) 3)))
(fma.f32 -3 (.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u)))) (.f32 (/.f32 s u) (+.f32 (/.f32 3/2 u) 3)))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (.f32 3 (/.f32 s u)) (+.f32 (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u))))))) 2) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 3 (/.f32 s u) (+.f32 (/.f32 (.f32 s 3/2) (.f32 u u)) (pow.f32 (sqrt.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u))))))) 2))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 3 (/.f32 s u) (fma.f32 3/2 (/.f32 s (.f32 u u)) (.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 -3 s)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (.f32 -3 s) (.f32 (/.f32 s u) (+.f32 (/.f32 3/2 u) 3))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 -3 (.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u)))) (.f32 (/.f32 s u) (+.f32 (/.f32 3/2 u) 3))))

prune147.0ms (4.2%)

Pruning

17 alts after pruning (15 fresh and 2 done)

	Pruned	Kept	Total
New	165	7	172
Fresh	6	8	14
Picked	0	1	1
Done	0	1	1
Total	171	17	188

Error

0.0b

Counts

188 → 17

Alt Table

Status	Error	Program
	1.0b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 2) (.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) (*.f32 s -3)))
	1.2b	(log1p.f32 (expm1.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))))
	0.9b	(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 -3 s))
	0.7b	(.f32 s (.f32 -3 (log1p.f32 (fma.f32 u -4/3 1/3))))
✓	0.9b	(pow.f32 (sqrt.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))) 2)
	1.0b	(.f32 (.f32 (*.f32 s -3) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 2)) (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))))
	1.0b	(.f32 (log1p.f32 (+.f32 (.f32 -4/3 u) 1/3)) (*.f32 s -3))
	1.3b	(.f32 (-.f32 (log1p.f32 (pow.f32 (fma.f32 u -4/3 1/3) 3)) (log.f32 (+.f32 1 (-.f32 (pow.f32 (fma.f32 u -4/3 1/3) 2) (fma.f32 u -4/3 1/3))))) (.f32 s -3))
	1.0b	(.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (pow.f32 (cbrt.f32 (.f32 s -3)) 2)) (cbrt.f32 (.f32 s -3)))
✓	0.9b	(.f32 (log1p.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) (cbrt.f32 (pow.f32 (fma.f32 u -4/3 1/3) 2)))) (*.f32 s -3))
	0.9b	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
	1.0b	(.f32 (pow.f32 (cbrt.f32 (.f32 s -3)) 2) (.f32 (cbrt.f32 (.f32 s -3)) (log1p.f32 (fma.f32 u -4/3 1/3))))
	1.1b	(pow.f32 (sqrt.f32 (.f32 (log1p.f32 (+.f32 (.f32 u -4/3) 1/3)) (*.f32 s -3))) 2)
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	10.4b	(.f32 (expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 u -4/3 1/3)))) (.f32 s -3))
	1.2b	(.f32 (log1p.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) 3)) (.f32 s -3))
▶	0.7b	(.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) s) -3)

Compiler

Compiled 3624 to 2966 computations (18.2% saved)

localize24.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) s)
✓	0.2b	(.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) s) -3)
	0.4b	(fma.f32 u -4/3 1/3)
	0.4b	(log1p.f32 (fma.f32 u -4/3 1/3))

series4.0ms (0.1%)

Counts

2 → 48

Calls

12 calls:

Time	Variable		Point	Expression
0.0ms	s	@	-inf	(*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) s)
0.0ms	u	@	inf	(*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) s)
0.0ms	u	@	0	(.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) s) -3)
0.0ms	u	@	0	(*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) s)
0.0ms	u	@	-inf	(*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) s)

rewrite44.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

820×	`expm1-log1p-u_binary32`
819×	`log1p-expm1-u_binary32`
97×	`add-sqr-sqrt_binary32`
92×	`add-exp-log_binary32`
92×	`add-log-exp_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	23
1	202	23
2	2209	23

Stop Event

1×	node limit

Counts

2 → 28

Calls

Call 1

Inputs
(.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) s) -3)
(*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) s)

Outputs

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

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

simplify36.0ms (1%)

Algorithm

1×	egg-herbie

Rules

572×	`fma-def_binary32`
366×	`associate-l_binary32`
245×	`distribute-lft-out_binary32`
216×	`associate-+l+_binary32`
199×	`fma-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	906
1	236	852
2	723	810
3	2473	793

Stop Event

1×	node limit

Counts

76 → 80

Calls

Call 1

Inputs
(.f32 -3 (.f32 s (log.f32 4/3)))
(+.f32 (.f32 3 (.f32 s u)) (.f32 -3 (.f32 s (log.f32 4/3))))
(+.f32 (.f32 3/2 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 3 (.f32 s u)) (.f32 -3 (.f32 s (log.f32 4/3)))))
(+.f32 (.f32 3/2 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 3 (.f32 s u)) (+.f32 (.f32 s (pow.f32 u 3)) (.f32 -3 (*.f32 s (log.f32 4/3))))))
(.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))
(+.f32 (.f32 3 (/.f32 s u)) (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))))
(+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))
(+.f32 (.f32 3 (/.f32 s u)) (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))))
(+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(*.f32 s (log.f32 4/3))
(+.f32 (.f32 s (log.f32 4/3)) (.f32 -1 (*.f32 s u)))
(+.f32 (.f32 s (log.f32 4/3)) (+.f32 (.f32 -1 (.f32 s u)) (.f32 -1/2 (*.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 s (log.f32 4/3)) (+.f32 (.f32 -1 (.f32 s u)) (+.f32 (.f32 -1/2 (.f32 s (pow.f32 u 2))) (.f32 -1/3 (*.f32 s (pow.f32 u 3))))))
(.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))
(+.f32 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u))))) (*.f32 -1 (/.f32 s u)))
(+.f32 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u))))) (+.f32 (.f32 -1 (/.f32 s u)) (.f32 -1/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 -1/3 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u))))) (+.f32 (.f32 -1 (/.f32 s u)) (*.f32 -1/2 (/.f32 s (pow.f32 u 2))))))
(.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))
(+.f32 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u))))) (*.f32 -1 (/.f32 s u)))
(+.f32 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u))))) (+.f32 (.f32 -1 (/.f32 s u)) (.f32 -1/2 (/.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u))))) (+.f32 (.f32 -1/3 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 -1 (/.f32 s u)) (*.f32 -1/2 (/.f32 s (pow.f32 u 2))))))
(.f32 s (log.f32 (+.f32 4/3 (.f32 -4/3 u))))
(.f32 s (log.f32 (+.f32 4/3 (.f32 -4/3 u))))
(.f32 s (log.f32 (+.f32 4/3 (.f32 -4/3 u))))
(.f32 s (log.f32 (+.f32 4/3 (.f32 -4/3 u))))
(.f32 s (log.f32 (+.f32 4/3 (.f32 -4/3 u))))
(.f32 s (log.f32 (+.f32 4/3 (.f32 -4/3 u))))
(.f32 s (log.f32 (+.f32 4/3 (.f32 -4/3 u))))
(.f32 s (log.f32 (+.f32 4/3 (.f32 -4/3 u))))
(.f32 s (log.f32 (+.f32 (.f32 -4/3 u) 4/3)))
(.f32 s (log.f32 (+.f32 (.f32 -4/3 u) 4/3)))
(.f32 s (log.f32 (+.f32 (.f32 -4/3 u) 4/3)))
(.f32 s (log.f32 (+.f32 (.f32 -4/3 u) 4/3)))

Outputs
(.f32 -3 (.f32 s (log.f32 4/3)))
(.f32 (.f32 -3 s) (log.f32 4/3))
(.f32 s (.f32 -3 (log.f32 4/3)))
(+.f32 (.f32 3 (.f32 s u)) (.f32 -3 (.f32 s (log.f32 4/3))))
(fma.f32 3 (.f32 s u) (.f32 (*.f32 -3 s) (log.f32 4/3)))
(fma.f32 (.f32 -3 s) (log.f32 4/3) (.f32 s (*.f32 u 3)))
(.f32 s (+.f32 (.f32 3 u) (*.f32 -3 (log.f32 4/3))))
(+.f32 (.f32 3/2 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 3 (.f32 s u)) (.f32 -3 (.f32 s (log.f32 4/3)))))
(fma.f32 3/2 (.f32 s (.f32 u u)) (fma.f32 3 (.f32 s u) (.f32 (*.f32 -3 s) (log.f32 4/3))))
(fma.f32 3/2 (.f32 s (.f32 u u)) (fma.f32 (.f32 -3 s) (log.f32 4/3) (.f32 s (*.f32 u 3))))
(fma.f32 -3 (.f32 s (log.f32 4/3)) (.f32 u (+.f32 (.f32 3/2 (.f32 s u)) (*.f32 s 3))))
(.f32 s (+.f32 (.f32 u (+.f32 (.f32 3/2 u) 3)) (.f32 -3 (log.f32 4/3))))
(+.f32 (.f32 3/2 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 3 (.f32 s u)) (+.f32 (.f32 s (pow.f32 u 3)) (.f32 -3 (*.f32 s (log.f32 4/3))))))
(fma.f32 3/2 (.f32 s (.f32 u u)) (fma.f32 3 (.f32 s u) (fma.f32 s (pow.f32 u 3) (.f32 (*.f32 -3 s) (log.f32 4/3)))))
(fma.f32 3/2 (.f32 s (.f32 u u)) (fma.f32 3 (.f32 s u) (fma.f32 -3 (.f32 s (log.f32 4/3)) (*.f32 s (pow.f32 u 3)))))
(fma.f32 s (.f32 u (.f32 u 3/2)) (fma.f32 -3 (.f32 s (log.f32 4/3)) (.f32 s (+.f32 (*.f32 3 u) (pow.f32 u 3)))))
(.f32 s (+.f32 (+.f32 (.f32 -3 (log.f32 4/3)) (pow.f32 u 3)) (.f32 u (+.f32 3 (.f32 3/2 u)))))
(.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))
(.f32 (.f32 -3 s) (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u)))))
(.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (log.f32 u))))
(.f32 s (.f32 -3 (+.f32 (log.f32 -4/3) (log.f32 u))))
(+.f32 (.f32 3 (/.f32 s u)) (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))))
(fma.f32 3 (/.f32 s u) (.f32 (.f32 -3 s) (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u))))))
(fma.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (log.f32 u))) (.f32 3 (/.f32 s u)))
(fma.f32 s (.f32 -3 (+.f32 (log.f32 -4/3) (log.f32 u))) (.f32 3 (/.f32 s u)))
(.f32 s (+.f32 (.f32 -3 (+.f32 (log.f32 -4/3) (log.f32 u))) (/.f32 3 u)))
(+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(fma.f32 3 (/.f32 s u) (fma.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u))))) (.f32 3/2 (/.f32 s (*.f32 u u)))))
(fma.f32 3 (/.f32 s u) (fma.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (log.f32 u))) (.f32 3/2 (/.f32 s (*.f32 u u)))))
(fma.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (log.f32 u))) (.f32 (/.f32 s u) (+.f32 3 (/.f32 3/2 u))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(+.f32 (fma.f32 3 (/.f32 s u) (fma.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u))))) (.f32 3/2 (/.f32 s (*.f32 u u))))) (/.f32 s (pow.f32 u 3)))
(+.f32 (fma.f32 3 (/.f32 s u) (fma.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (log.f32 u))) (.f32 3/2 (/.f32 s (*.f32 u u))))) (/.f32 s (pow.f32 u 3)))
(+.f32 (fma.f32 -3 (.f32 s (+.f32 (log.f32 -4/3) (log.f32 u))) (.f32 (/.f32 s u) (+.f32 3 (/.f32 3/2 u)))) (/.f32 s (pow.f32 u 3)))
(.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))
(.f32 (.f32 -3 s) (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u)))))
(.f32 -3 (.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u)))))
(.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (.f32 -3 s))
(+.f32 (.f32 3 (/.f32 s u)) (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))))
(fma.f32 3 (/.f32 s u) (.f32 (.f32 -3 s) (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u))))))
(fma.f32 -3 (.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u)))) (.f32 3 (/.f32 s u)))
(fma.f32 s (.f32 -3 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u)))) (.f32 3 (/.f32 s u)))
(.f32 s (+.f32 (/.f32 3 u) (.f32 -3 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))))))
(+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(fma.f32 3 (/.f32 s u) (fma.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u))))) (.f32 3/2 (/.f32 s (*.f32 u u)))))
(fma.f32 3 (/.f32 s u) (fma.f32 (.f32 -3 s) (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (.f32 3/2 (/.f32 s (*.f32 u u)))))
(fma.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (.f32 -3 s) (.f32 (/.f32 s u) (+.f32 3 (/.f32 3/2 u))))
(fma.f32 -3 (.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u)))) (.f32 (/.f32 s u) (+.f32 3 (/.f32 3/2 u))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))) (*.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 3 (/.f32 s u) (fma.f32 -3 (.f32 s (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u))))) (.f32 3/2 (/.f32 s (*.f32 u u))))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 3 (/.f32 s u) (fma.f32 (.f32 -3 s) (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (.f32 3/2 (/.f32 s (*.f32 u u))))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (.f32 -3 s) (.f32 (/.f32 s u) (+.f32 3 (/.f32 3/2 u)))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 -3 (.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u)))) (.f32 (/.f32 s u) (+.f32 3 (/.f32 3/2 u)))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 (.f32 -3 s) (log.f32 (fma.f32 -4/3 u 4/3)))
(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
(*.f32 s (log.f32 4/3))
(+.f32 (.f32 s (log.f32 4/3)) (.f32 -1 (*.f32 s u)))
(fma.f32 s (log.f32 4/3) (neg.f32 (*.f32 s u)))
(-.f32 (.f32 s (log.f32 4/3)) (.f32 s u))
(*.f32 s (-.f32 (log.f32 4/3) u))
(+.f32 (.f32 s (log.f32 4/3)) (+.f32 (.f32 -1 (.f32 s u)) (.f32 -1/2 (*.f32 s (pow.f32 u 2)))))
(fma.f32 s (log.f32 4/3) (fma.f32 -1 (.f32 s u) (.f32 (.f32 s (.f32 u u)) -1/2)))
(fma.f32 s (log.f32 4/3) (-.f32 (.f32 s (.f32 (.f32 u u) -1/2)) (.f32 s u)))
(fma.f32 s (log.f32 4/3) (.f32 s (-.f32 (.f32 u (*.f32 u -1/2)) u)))
(.f32 s (+.f32 (log.f32 4/3) (fma.f32 u (.f32 u -1/2) (neg.f32 u))))
(+.f32 (.f32 s (log.f32 4/3)) (+.f32 (.f32 -1 (.f32 s u)) (+.f32 (.f32 -1/2 (.f32 s (pow.f32 u 2))) (.f32 -1/3 (*.f32 s (pow.f32 u 3))))))
(fma.f32 s (log.f32 4/3) (fma.f32 -1 (.f32 s u) (fma.f32 -1/2 (.f32 s (.f32 u u)) (.f32 (*.f32 s (pow.f32 u 3)) -1/3))))
(fma.f32 s (log.f32 4/3) (-.f32 (fma.f32 (.f32 s (.f32 u u)) -1/2 (.f32 s (.f32 (pow.f32 u 3) -1/3))) (*.f32 s u)))
(fma.f32 s (log.f32 4/3) (fma.f32 s (.f32 (pow.f32 u 3) -1/3) (.f32 s (-.f32 (.f32 u (.f32 u -1/2)) u))))
(.f32 s (+.f32 (.f32 (.f32 u u) (+.f32 -1/2 (.f32 -1/3 u))) (-.f32 (log.f32 4/3) u)))
(.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))
(*.f32 s (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u)))))
(*.f32 s (+.f32 (log.f32 -4/3) (log.f32 u)))
(+.f32 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u))))) (*.f32 -1 (/.f32 s u)))
(fma.f32 s (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u)))) (neg.f32 (/.f32 s u)))
(-.f32 (*.f32 s (+.f32 (log.f32 -4/3) (log.f32 u))) (/.f32 s u))
(fma.f32 s (+.f32 (log.f32 -4/3) (log.f32 u)) (neg.f32 (/.f32 s u)))
(+.f32 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u))))) (+.f32 (.f32 -1 (/.f32 s u)) (.f32 -1/2 (/.f32 s (pow.f32 u 2)))))
(fma.f32 s (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u)))) (fma.f32 -1 (/.f32 s u) (/.f32 (.f32 -1/2 s) (.f32 u u))))
(fma.f32 s (+.f32 (log.f32 -4/3) (log.f32 u)) (-.f32 (*.f32 (/.f32 -1/2 u) (/.f32 s u)) (/.f32 s u)))
(fma.f32 s (+.f32 (log.f32 -4/3) (log.f32 u)) (*.f32 (/.f32 s u) (+.f32 (/.f32 -1/2 u) -1)))
(fma.f32 s (+.f32 (log.f32 -4/3) (log.f32 u)) (*.f32 (/.f32 s u) (+.f32 -1 (/.f32 -1/2 u))))
(+.f32 (.f32 -1/3 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 s (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u))))) (+.f32 (.f32 -1 (/.f32 s u)) (*.f32 -1/2 (/.f32 s (pow.f32 u 2))))))
(fma.f32 -1/3 (/.f32 s (pow.f32 u 3)) (fma.f32 s (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u)))) (fma.f32 -1 (/.f32 s u) (/.f32 (.f32 -1/2 s) (.f32 u u)))))
(fma.f32 (/.f32 s (pow.f32 u 3)) -1/3 (fma.f32 s (+.f32 (log.f32 -4/3) (log.f32 u)) (-.f32 (*.f32 (/.f32 -1/2 u) (/.f32 s u)) (/.f32 s u))))
(fma.f32 s (+.f32 (log.f32 -4/3) (log.f32 u)) (-.f32 (.f32 (/.f32 s (.f32 u u)) (+.f32 -1/2 (/.f32 -1/3 u))) (/.f32 s u)))
(.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))
(*.f32 s (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u)))))
(*.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))))
(+.f32 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u))))) (*.f32 -1 (/.f32 s u)))
(fma.f32 s (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u)))) (neg.f32 (/.f32 s u)))
(-.f32 (*.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u)))) (/.f32 s u))
(fma.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (neg.f32 (/.f32 s u)))
(+.f32 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u))))) (+.f32 (.f32 -1 (/.f32 s u)) (.f32 -1/2 (/.f32 s (pow.f32 u 2)))))
(fma.f32 s (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u)))) (fma.f32 -1 (/.f32 s u) (/.f32 (.f32 -1/2 s) (.f32 u u))))
(fma.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (-.f32 (*.f32 (/.f32 -1/2 u) (/.f32 s u)) (/.f32 s u)))
(fma.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 (/.f32 s u) (+.f32 (/.f32 -1/2 u) -1)))
(fma.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (*.f32 (/.f32 s u) (+.f32 -1 (/.f32 -1/2 u))))
(+.f32 (.f32 s (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u))))) (+.f32 (.f32 -1/3 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 -1 (/.f32 s u)) (*.f32 -1/2 (/.f32 s (pow.f32 u 2))))))
(fma.f32 s (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u)))) (fma.f32 -1/3 (/.f32 s (pow.f32 u 3)) (fma.f32 -1 (/.f32 s u) (/.f32 (.f32 -1/2 s) (.f32 u u)))))
(fma.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (fma.f32 (/.f32 s (pow.f32 u 3)) -1/3 (-.f32 (*.f32 (/.f32 -1/2 u) (/.f32 s u)) (/.f32 s u))))
(fma.f32 s (-.f32 (log.f32 4/3) (log.f32 (/.f32 -1 u))) (-.f32 (.f32 (/.f32 s (.f32 u u)) (+.f32 -1/2 (/.f32 -1/3 u))) (/.f32 s u)))
(.f32 s (log.f32 (+.f32 4/3 (.f32 -4/3 u))))
(*.f32 s (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))
(.f32 s (log.f32 (+.f32 4/3 (.f32 -4/3 u))))
(*.f32 s (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))
(.f32 s (log.f32 (+.f32 4/3 (.f32 -4/3 u))))
(*.f32 s (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))
(.f32 s (log.f32 (+.f32 4/3 (.f32 -4/3 u))))
(*.f32 s (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))
(.f32 s (log.f32 (+.f32 4/3 (.f32 -4/3 u))))
(*.f32 s (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))
(.f32 s (log.f32 (+.f32 4/3 (.f32 -4/3 u))))
(*.f32 s (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))
(.f32 s (log.f32 (+.f32 4/3 (.f32 -4/3 u))))
(*.f32 s (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))
(.f32 s (log.f32 (+.f32 4/3 (.f32 -4/3 u))))
(*.f32 s (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))
(.f32 s (log.f32 (+.f32 (.f32 -4/3 u) 4/3)))
(*.f32 s (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))
(.f32 s (log.f32 (+.f32 (.f32 -4/3 u) 4/3)))
(*.f32 s (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))
(.f32 s (log.f32 (+.f32 (.f32 -4/3 u) 4/3)))
(*.f32 s (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))
(.f32 s (log.f32 (+.f32 (.f32 -4/3 u) 4/3)))
(*.f32 s (log.f32 (fma.f32 -4/3 u 4/3)))
(*.f32 s (log.f32 (fma.f32 u -4/3 4/3)))

prune93.0ms (2.7%)

Pruning

15 alts after pruning (13 fresh and 2 done)

	Pruned	Kept	Total
New	146	2	148
Fresh	3	11	14
Picked	1	0	1
Done	0	2	2
Total	150	15	165

Error

0.0b

Counts

165 → 15

Alt Table

Status	Error	Program
	1.0b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 2) (.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) (*.f32 s -3)))
	0.9b	(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 -3 s))
	0.7b	(.f32 s (.f32 -3 (log1p.f32 (fma.f32 u -4/3 1/3))))
✓	0.9b	(pow.f32 (sqrt.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 s -3))) 2)
	1.3b	(.f32 (.f32 (log1p.f32 (log.f32 (exp.f32 (fma.f32 u -4/3 1/3)))) s) -3)
	1.2b	(.f32 (log1p.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) 3)) (.f32 s -3))
	1.0b	(.f32 (.f32 (*.f32 s -3) (pow.f32 (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))) 2)) (cbrt.f32 (log1p.f32 (fma.f32 u -4/3 1/3))))
	1.0b	(.f32 (log1p.f32 (+.f32 (.f32 -4/3 u) 1/3)) (*.f32 s -3))
	1.0b	(.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (pow.f32 (cbrt.f32 (.f32 s -3)) 2)) (cbrt.f32 (.f32 s -3)))
✓	0.9b	(.f32 (log1p.f32 (.f32 (cbrt.f32 (fma.f32 u -4/3 1/3)) (cbrt.f32 (pow.f32 (fma.f32 u -4/3 1/3) 2)))) (*.f32 s -3))
	0.9b	(.f32 -3 (.f32 s (log.f32 (fma.f32 u -4/3 4/3))))
	1.0b	(.f32 (pow.f32 (cbrt.f32 (.f32 s -3)) 2) (.f32 (cbrt.f32 (.f32 s -3)) (log1p.f32 (fma.f32 u -4/3 1/3))))
	1.1b	(.f32 (.f32 (log.f32 (+.f32 (fma.f32 u -4/3 1/3) 1)) s) -3)
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	10.4b	(.f32 (expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 u -4/3 1/3)))) (.f32 s -3))

Compiler

Compiled 2455 to 1923 computations (21.7% saved)

regimes387.0ms (11.2%)

Accuracy

Total 0.6b remaining (91.4%)

Threshold costs 0.6b (91.4%)

Counts

74 → 1

Compiler

Compiled 1088 to 908 computations (16.5% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	13
1	12	13

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (.f32 s -3) (log1p.f32 (fma.f32 u -4/3 1/3)))

Outputs
(.f32 (.f32 s -3) (log1p.f32 (fma.f32 u -4/3 1/3)))

end172.0ms (5%)

Stop Event

1×

fuel

Compiler

Compiled 250 to 211 computations (15.6% saved)

Details

analyze111.0ms (3.2%)

sample1.6s (47.2%)

preprocess85.0ms (2.4%)

simplify47.0ms (1.3%)

prune4.0ms (0.1%)

localize21.0ms (0.6%)

series53.0ms (1.5%)

rewrite50.0ms (1.4%)

simplify40.0ms (1.1%)

prune94.0ms (2.7%)

localize42.0ms (1.2%)

series4.0ms (0.1%)

rewrite56.0ms (1.6%)

simplify41.0ms (1.2%)

prune154.0ms (4.4%)

localize29.0ms (0.8%)

series13.0ms (0.4%)

rewrite46.0ms (1.3%)

simplify35.0ms (1%)

prune147.0ms (4.2%)

localize24.0ms (0.7%)

series4.0ms (0.1%)

rewrite44.0ms (1.3%)

simplify36.0ms (1%)

prune93.0ms (2.7%)

regimes387.0ms (11.2%)

simplify2.0ms (0.1%)

end172.0ms (5%)

Profiling