Details

analyze96.0ms (0.9%)

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

Compiler

Compiled 31 to 25 computations (19.4% saved)

sample2.4s (22.3%)

Results

2.4s

8256×

body

256

valid

preprocess197.0ms (1.8%)

Algorithm

2×	egg-herbie

Rules

1397×	`fma-def_binary32`
1070×	`fma-neg_binary32`
423×	`unsub-neg_binary32`
358×	`cancel-sign-sub-inv_binary32`
325×	`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	434	30
5	593	30
6	786	26
7	1145	26
8	1883	26
9	2514	26
10	2668	26
11	3151	26
12	3668	26
13	3829	26
14	3923	26
15	4583	26
16	4755	26
17	5014	26
18	5470	26
19	6469	26
20	7827	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 (.f32 3 s) (neg.f32 (log.f32 (-.f32 1 (-.f32 (/.f32 u 3/4) 1/3)))))
(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (/.f32 (neg.f32 (+.f32 u -1/4)) 3/4))))
(.f32 s (.f32 -3 (log1p.f32 (neg.f32 (/.f32 (+.f32 u -1/4) 3/4)))))
(.f32 s (.f32 (log.f32 (-.f32 4/3 (/.f32 u 3/4))) -3))
(.f32 s (.f32 (log.f32 (+.f32 (/.f32 u -3/4) 4/3)) -3))
(.f32 s (.f32 (log.f32 (+.f32 (*.f32 -4/3 u) 4/3)) -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)))))
(.f32 u (.f32 3 (neg.f32 (log1p.f32 (/.f32 (neg.f32 (+.f32 s -1/4)) 3/4)))))
(.f32 u (.f32 -3 (log1p.f32 (/.f32 (neg.f32 (+.f32 s -1/4)) 3/4))))
(.f32 u (.f32 (log.f32 (-.f32 4/3 (/.f32 s 3/4))) -3))
(.f32 u (.f32 (log1p.f32 (*.f32 -4/3 (+.f32 s -1/4))) -3))
(.f32 (log.f32 (+.f32 (.f32 -4/3 s) 4/3)) (*.f32 u -3))
(.f32 (log.f32 (fma.f32 -4/3 s 4/3)) (.f32 u -3))
(.f32 (log.f32 (fma.f32 s -4/3 4/3)) (.f32 u -3))

Compiler

Compiled 18 to 16 computations (11.1% saved)

simplify72.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

738×	`fma-def_binary32`
494×	`fma-neg_binary32`
130×	`cancel-sign-sub-inv_binary32`
102×	`distribute-rgt-in_binary32`
88×	`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	241	15
5	333	15
6	440	13
7	634	13
8	1017	13
9	1258	13
10	1642	13
11	1906	13
12	2344	13
13	2660	13
14	2695	13
15	2696	13
16	2696	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 (+.f32 1/4 (neg.f32 u)) 3/4))))
(.f32 s (.f32 (log.f32 (-.f32 4/3 (/.f32 u 3/4))) -3))
(.f32 s (.f32 (log.f32 (+.f32 (/.f32 u -3/4) 4/3)) -3))
(.f32 s (.f32 (log1p.f32 (+.f32 1/3 (*.f32 u -4/3))) -3))
(.f32 s (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3))

eval1.0ms (0%)

Compiler: Compiled 25 to 21 computations (16% saved)

prune2.0ms (0%)

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

Click to see full alt table

Status	Error	Program
▶	1.2b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
▶	0.7b	(.f32 s (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3))

Compiler

Compiled 27 to 23 computations (14.8% saved)

localize44.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 s (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3))
✓	0.3b	(*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3)
✓	0.3b	(fma.f32 u -4/3 1/3)
✓	0.4b	(log1p.f32 (fma.f32 u -4/3 1/3))

Compiler

Compiled 32 to 25 computations (21.9% saved)

series113.0ms (1%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
99.0ms	s	@	0	(.f32 s (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3))
1.0ms	s	@	inf	(.f32 s (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3))
1.0ms	u	@	-inf	(.f32 s (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3))
1.0ms	u	@	inf	(log1p.f32 (fma.f32 u -4/3 1/3))
1.0ms	u	@	inf	(.f32 s (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3))

rewrite120.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

888×	`pow1_binary32`
823×	`add-log-exp_binary32`
823×	`expm1-log1p-u_binary32`
822×	`log1p-expm1-u_binary32`
808×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	202	35
2	2216	35

Stop Event

1×	node limit

Counts

4 → 60

Calls

Call 1

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

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

simplify256.0ms (2.4%)

Algorithm

1×	egg-herbie

Rules

493×	`fma-def_binary32`
404×	`+-commutative_binary32`
402×	`associate-+l-_binary32`
361×	`times-frac_binary32`
350×	`unsub-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	102	1020
1	314	963
2	912	928
3	2753	914
4	6899	914

Stop Event

1×	node limit

Counts

120 → 139

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

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

localize168.0ms (1.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))
✓	0.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
✓	0.5b	(-.f32 1 (/.f32 (-.f32 u 1/4) 3/4))
✓	0.9b	(log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4))))

Compiler

Compiled 59 to 49 computations (16.9% saved)

series52.0ms (0.5%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
35.0ms	s	@	0	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
6.0ms	u	@	-inf	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
3.0ms	u	@	-inf	(-.f32 1 (/.f32 (-.f32 u 1/4) 3/4))
1.0ms	u	@	inf	(log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4))))
1.0ms	u	@	0	(log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4))))

rewrite85.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

657×	`log-prod_binary32`
380×	`pow2_binary32`
288×	`prod-diff_binary32`
264×	`expm1-udef_binary32`
263×	`pow1/3_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	57
1	316	51
2	3884	47

Stop Event

1×	node limit

Counts

4 → 142

Calls

Call 1

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

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

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

578×	`fma-def_binary32`
379×	`associate-l_binary32`
319×	`associate-+l+_binary32`
298×	`associate-r_binary32`
293×	`distribute-lft-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	110	1016
1	334	924
2	1038	859
3	3407	853

Stop Event

1×	node limit

Counts

202 → 210

Calls

Call 1

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

Outputs
(log.f32 3/4)
(+.f32 (log.f32 3/4) u)
(+.f32 (*.f32 1/2 (pow.f32 u 2)) (+.f32 (log.f32 3/4) u))
(fma.f32 1/2 (*.f32 u u) (+.f32 (log.f32 3/4) u))
(+.f32 u (fma.f32 1/2 (*.f32 u u) (log.f32 3/4)))
(+.f32 (log.f32 3/4) (fma.f32 u (*.f32 u 1/2) u))
(+.f32 (.f32 1/2 (pow.f32 u 2)) (+.f32 (log.f32 3/4) (+.f32 u (.f32 1/3 (pow.f32 u 3)))))
(fma.f32 1/2 (.f32 u u) (+.f32 (+.f32 (log.f32 3/4) u) (.f32 1/3 (pow.f32 u 3))))
(+.f32 (fma.f32 1/3 (pow.f32 u 3) u) (fma.f32 1/2 (*.f32 u u) (log.f32 3/4)))
(+.f32 (fma.f32 1/3 (pow.f32 u 3) (log.f32 3/4)) (fma.f32 u (*.f32 u 1/2) u))
(+.f32 (fma.f32 1/3 (pow.f32 u 3) u) (fma.f32 u (*.f32 u 1/2) (log.f32 3/4)))
(+.f32 (log.f32 -3/4) (log.f32 (/.f32 1 u)))
(+.f32 (log.f32 -3/4) (neg.f32 (log.f32 u)))
(-.f32 (log.f32 -3/4) (log.f32 u))
(+.f32 (log.f32 -3/4) (+.f32 (log.f32 (/.f32 1 u)) (/.f32 1 u)))
(+.f32 (+.f32 (log.f32 -3/4) (neg.f32 (log.f32 u))) (/.f32 1 u))
(+.f32 (log.f32 -3/4) (-.f32 (/.f32 1 u) (log.f32 u)))
(+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (log.f32 -3/4) (+.f32 (log.f32 (/.f32 1 u)) (/.f32 1 u))))
(+.f32 (+.f32 (+.f32 (log.f32 -3/4) (neg.f32 (log.f32 u))) (/.f32 1 u)) (/.f32 1/2 (*.f32 u u)))
(+.f32 (-.f32 (log.f32 -3/4) (log.f32 u)) (+.f32 (/.f32 1 u) (/.f32 1/2 (*.f32 u u))))
(+.f32 (log.f32 -3/4) (-.f32 (/.f32 1 u) (-.f32 (log.f32 u) (/.f32 1/2 (*.f32 u u)))))
(+.f32 (/.f32 1 u) (-.f32 (/.f32 1/2 (*.f32 u u)) (-.f32 (log.f32 u) (log.f32 -3/4))))
(+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (log.f32 -3/4) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u 3))) (+.f32 (log.f32 (/.f32 1 u)) (/.f32 1 u)))))
(+.f32 (+.f32 (/.f32 1/2 (*.f32 u u)) (log.f32 -3/4)) (+.f32 (+.f32 (/.f32 1 u) (neg.f32 (log.f32 u))) (/.f32 1/3 (pow.f32 u 3))))
(+.f32 (log.f32 -3/4) (+.f32 (+.f32 (-.f32 (/.f32 1 u) (log.f32 u)) (/.f32 1/3 (pow.f32 u 3))) (/.f32 1/2 (*.f32 u u))))
(+.f32 (log.f32 -3/4) (+.f32 (/.f32 1/2 (*.f32 u u)) (+.f32 (/.f32 1 u) (-.f32 (/.f32 1/3 (pow.f32 u 3)) (log.f32 u)))))
(+.f32 (log.f32 -3/4) (+.f32 (/.f32 1 u) (+.f32 (-.f32 (/.f32 1/3 (pow.f32 u 3)) (log.f32 u)) (/.f32 1/2 (*.f32 u u)))))
(+.f32 (log.f32 (/.f32 -1 u)) (log.f32 3/4))
(+.f32 (log.f32 3/4) (log.f32 (/.f32 -1 u)))
(+.f32 (/.f32 1 u) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 3/4)))
(+.f32 (/.f32 1 u) (+.f32 (log.f32 3/4) (log.f32 (/.f32 -1 u))))
(+.f32 (log.f32 3/4) (+.f32 (/.f32 1 u) (log.f32 (/.f32 -1 u))))
(+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (/.f32 1 u) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 3/4))))
(+.f32 (/.f32 1/2 (*.f32 u u)) (+.f32 (/.f32 1 u) (+.f32 (log.f32 3/4) (log.f32 (/.f32 -1 u)))))
(+.f32 (/.f32 1 u) (+.f32 (+.f32 (log.f32 3/4) (log.f32 (/.f32 -1 u))) (/.f32 1/2 (*.f32 u u))))
(+.f32 (/.f32 1 u) (+.f32 (/.f32 1/2 (*.f32 u u)) (+.f32 (log.f32 3/4) (log.f32 (/.f32 -1 u)))))
(+.f32 (log.f32 3/4) (+.f32 (/.f32 1 u) (+.f32 (/.f32 1/2 (*.f32 u u)) (log.f32 (/.f32 -1 u)))))
(+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u 3))) (+.f32 (/.f32 1 u) (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 3/4)))))
(+.f32 (/.f32 1/2 (*.f32 u u)) (+.f32 (/.f32 1/3 (pow.f32 u 3)) (+.f32 (/.f32 1 u) (+.f32 (log.f32 3/4) (log.f32 (/.f32 -1 u))))))
(+.f32 (+.f32 (/.f32 1 u) (/.f32 1/3 (pow.f32 u 3))) (+.f32 (+.f32 (log.f32 3/4) (log.f32 (/.f32 -1 u))) (/.f32 1/2 (*.f32 u u))))
(+.f32 (/.f32 1 u) (+.f32 (/.f32 1/2 (*.f32 u u)) (+.f32 (/.f32 1/3 (pow.f32 u 3)) (+.f32 (log.f32 3/4) (log.f32 (/.f32 -1 u))))))
(+.f32 (log.f32 3/4) (+.f32 (/.f32 1/2 (*.f32 u u)) (+.f32 (/.f32 1/3 (pow.f32 u 3)) (+.f32 (/.f32 1 u) (log.f32 (/.f32 -1 u))))))
4/3
(+.f32 (*.f32 -4/3 u) 4/3)
(fma.f32 -4/3 u 4/3)
(fma.f32 u -4/3 4/3)
(+.f32 (*.f32 -4/3 u) 4/3)
(fma.f32 -4/3 u 4/3)
(fma.f32 u -4/3 4/3)
(+.f32 (*.f32 -4/3 u) 4/3)
(fma.f32 -4/3 u 4/3)
(fma.f32 u -4/3 4/3)
(*.f32 -4/3 u)
(*.f32 u -4/3)
(+.f32 4/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 4/3)
(fma.f32 u -4/3 4/3)
(+.f32 4/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 4/3)
(fma.f32 u -4/3 4/3)
(+.f32 4/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 4/3)
(fma.f32 u -4/3 4/3)
(*.f32 -4/3 u)
(*.f32 u -4/3)
(+.f32 4/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 4/3)
(fma.f32 u -4/3 4/3)
(+.f32 4/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 4/3)
(fma.f32 u -4/3 4/3)
(+.f32 4/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 4/3)
(fma.f32 u -4/3 4/3)
(.f32 3 (.f32 s (log.f32 (/.f32 1 (-.f32 1 (*.f32 4/3 (-.f32 u 1/4)))))))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (+.f32 1 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 3 (.f32 s (neg.f32 (log1p.f32 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 s -3))
(.f32 3 (.f32 s (log.f32 (/.f32 1 (-.f32 1 (*.f32 4/3 (-.f32 u 1/4)))))))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (+.f32 1 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 3 (.f32 s (neg.f32 (log1p.f32 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 s -3))
(.f32 3 (.f32 s (log.f32 (/.f32 1 (-.f32 1 (*.f32 4/3 (-.f32 u 1/4)))))))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (+.f32 1 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 3 (.f32 s (neg.f32 (log1p.f32 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 s -3))
(.f32 3 (.f32 s (log.f32 (/.f32 1 (-.f32 1 (*.f32 4/3 (-.f32 u 1/4)))))))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (+.f32 1 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 3 (.f32 s (neg.f32 (log1p.f32 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 s -3))
(.f32 3 (.f32 s (log.f32 (/.f32 1 (-.f32 1 (*.f32 4/3 (-.f32 u 1/4)))))))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (+.f32 1 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 3 (.f32 s (neg.f32 (log1p.f32 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 s -3))
(.f32 3 (.f32 s (log.f32 (/.f32 1 (-.f32 1 (*.f32 4/3 (-.f32 u 1/4)))))))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (+.f32 1 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 3 (.f32 s (neg.f32 (log1p.f32 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 s -3))
(.f32 3 (.f32 s (log.f32 (/.f32 1 (-.f32 1 (*.f32 4/3 (-.f32 u 1/4)))))))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (+.f32 1 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 3 (.f32 s (neg.f32 (log1p.f32 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 s -3))
(.f32 3 (.f32 s (log.f32 (/.f32 1 (-.f32 1 (*.f32 4/3 (-.f32 u 1/4)))))))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (+.f32 1 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 3 (.f32 s (neg.f32 (log1p.f32 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 s -3))
(.f32 3 (.f32 s (log.f32 (/.f32 1 (-.f32 1 (*.f32 4/3 (-.f32 u 1/4)))))))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (+.f32 1 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 3 (.f32 s (neg.f32 (log1p.f32 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 s -3))
(.f32 3 (.f32 s (log.f32 (/.f32 1 (-.f32 1 (*.f32 4/3 (-.f32 u 1/4)))))))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (+.f32 1 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 3 (.f32 s (neg.f32 (log1p.f32 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 s -3))
(.f32 3 (.f32 s (log.f32 (/.f32 1 (-.f32 1 (*.f32 4/3 (-.f32 u 1/4)))))))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (+.f32 1 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 3 (.f32 s (neg.f32 (log1p.f32 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 s -3))
(.f32 3 (.f32 s (log.f32 (/.f32 1 (-.f32 1 (*.f32 4/3 (-.f32 u 1/4)))))))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (+.f32 1 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 3 (.f32 s (neg.f32 (log1p.f32 (*.f32 -4/3 (+.f32 u -1/4))))))
(.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 s -3))
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 (.f32 3 s) (log.f32 3/4))
(.f32 (log.f32 3/4) (.f32 3 s))
(+.f32 (.f32 3 (.f32 s (log.f32 3/4))) (.f32 3 (.f32 s u)))
(.f32 3 (+.f32 (.f32 (log.f32 3/4) s) (*.f32 u s)))
(.f32 (.f32 3 s) (+.f32 (log.f32 3/4) u))
(.f32 (+.f32 (log.f32 3/4) u) (.f32 3 s))
(+.f32 (.f32 3/2 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 3 (.f32 s (log.f32 3/4))) (.f32 3 (.f32 s u))))
(fma.f32 3/2 (.f32 (.f32 u u) s) (.f32 3 (+.f32 (.f32 (log.f32 3/4) s) (*.f32 u s))))
(fma.f32 (.f32 s 3/2) (.f32 u u) (.f32 (.f32 3 s) (+.f32 (log.f32 3/4) u)))
(fma.f32 (.f32 u u) (.f32 s 3/2) (.f32 (+.f32 (log.f32 3/4) u) (.f32 3 s)))
(.f32 s (+.f32 (.f32 (log.f32 3/4) 3) (.f32 u (+.f32 3 (.f32 u 3/2)))))
(+.f32 (.f32 3/2 (.f32 s (pow.f32 u 2))) (+.f32 (.f32 3 (.f32 s (log.f32 3/4))) (+.f32 (.f32 3 (.f32 s u)) (*.f32 s (pow.f32 u 3)))))
(fma.f32 3/2 (.f32 (.f32 u u) s) (fma.f32 3 (.f32 (log.f32 3/4) s) (fma.f32 3 (.f32 u s) (*.f32 (pow.f32 u 3) s))))
(fma.f32 3/2 (.f32 u (.f32 u s)) (fma.f32 3 (.f32 s (+.f32 (log.f32 3/4) u)) (.f32 (pow.f32 u 3) s)))
(fma.f32 3 (.f32 (+.f32 (log.f32 3/4) u) s) (.f32 (.f32 u (.f32 u s)) (+.f32 u 3/2)))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 (.f32 u u) (+.f32 u 3/2))))
(.f32 3 (.f32 s (+.f32 (log.f32 -3/4) (log.f32 (/.f32 1 u)))))
(.f32 (.f32 3 s) (+.f32 (log.f32 -3/4) (neg.f32 (log.f32 u))))
(.f32 3 (.f32 (-.f32 (log.f32 -3/4) (log.f32 u)) s))
(.f32 (-.f32 (log.f32 -3/4) (log.f32 u)) (.f32 3 s))
(+.f32 (.f32 3 (.f32 s (+.f32 (log.f32 -3/4) (log.f32 (/.f32 1 u))))) (*.f32 3 (/.f32 s u)))
(.f32 3 (+.f32 (.f32 (+.f32 (log.f32 -3/4) (neg.f32 (log.f32 u))) s) (/.f32 s u)))
(*.f32 3 (fma.f32 (-.f32 (log.f32 -3/4) (log.f32 u)) s (/.f32 s u)))
(+.f32 (.f32 3 (.f32 s (+.f32 (log.f32 -3/4) (log.f32 (/.f32 1 u))))) (+.f32 (.f32 3 (/.f32 s u)) (.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(fma.f32 3 (.f32 (+.f32 (log.f32 -3/4) (neg.f32 (log.f32 u))) s) (fma.f32 3 (/.f32 s u) (.f32 3/2 (/.f32 s (*.f32 u u)))))
(fma.f32 3 (fma.f32 (-.f32 (log.f32 -3/4) (log.f32 u)) s (/.f32 s u)) (.f32 3/2 (/.f32 s (.f32 u u))))
(fma.f32 3 (.f32 (-.f32 (log.f32 -3/4) (log.f32 u)) s) (.f32 (/.f32 s u) (+.f32 3 (/.f32 3/2 u))))
(+.f32 (/.f32 s (pow.f32 u 3)) (+.f32 (.f32 3 (.f32 s (+.f32 (log.f32 -3/4) (log.f32 (/.f32 1 u))))) (+.f32 (.f32 3 (/.f32 s u)) (.f32 3/2 (/.f32 s (pow.f32 u 2))))))
(+.f32 (fma.f32 3 (.f32 (+.f32 (log.f32 -3/4) (neg.f32 (log.f32 u))) s) (fma.f32 3 (/.f32 s u) (.f32 3/2 (/.f32 s (*.f32 u u))))) (/.f32 s (pow.f32 u 3)))
(+.f32 (fma.f32 3 (fma.f32 (-.f32 (log.f32 -3/4) (log.f32 u)) s (/.f32 s u)) (.f32 3/2 (/.f32 s (.f32 u u)))) (/.f32 s (pow.f32 u 3)))
(fma.f32 3 (fma.f32 (-.f32 (log.f32 -3/4) (log.f32 u)) s (/.f32 s u)) (fma.f32 3/2 (/.f32 s (*.f32 u u)) (/.f32 s (pow.f32 u 3))))
(.f32 3 (.f32 s (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 3/4))))
(.f32 3 (.f32 (+.f32 (log.f32 3/4) (log.f32 (/.f32 -1 u))) s))
(.f32 (+.f32 (log.f32 3/4) (log.f32 (/.f32 -1 u))) (.f32 3 s))
(+.f32 (.f32 3 (/.f32 s u)) (.f32 3 (*.f32 s (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 3/4)))))
(.f32 3 (+.f32 (/.f32 s u) (.f32 (+.f32 (log.f32 3/4) (log.f32 (/.f32 -1 u))) s)))
(*.f32 3 (fma.f32 (+.f32 (log.f32 3/4) (log.f32 (/.f32 -1 u))) s (/.f32 s u)))
(+.f32 (.f32 3 (/.f32 s u)) (+.f32 (.f32 3 (.f32 s (+.f32 (log.f32 (/.f32 -1 u)) (log.f32 3/4)))) (.f32 3/2 (/.f32 s (pow.f32 u 2)))))
(fma.f32 3 (/.f32 s u) (fma.f32 3 (.f32 (+.f32 (log.f32 3/4) (log.f32 (/.f32 -1 u))) s) (.f32 3/2 (/.f32 s (*.f32 u u)))))
(fma.f32 3 (+.f32 (/.f32 s u) (.f32 (+.f32 (log.f32 3/4) (log.f32 (/.f32 -1 u))) s)) (.f32 3/2 (/.f32 s (*.f32 u u))))
(fma.f32 3 (.f32 (+.f32 (log.f32 3/4) (log.f32 (/.f32 -1 u))) 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 (/.f32 -1 u)) (log.f32 3/4)))) (.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 (+.f32 (log.f32 3/4) (log.f32 (/.f32 -1 u))) s) (.f32 3/2 (/.f32 s (*.f32 u u))))))
(+.f32 (/.f32 s (pow.f32 u 3)) (fma.f32 3 (+.f32 (/.f32 s u) (.f32 (+.f32 (log.f32 3/4) (log.f32 (/.f32 -1 u))) s)) (.f32 3/2 (/.f32 s (*.f32 u u)))))
(fma.f32 3 (fma.f32 (+.f32 (log.f32 3/4) (log.f32 (/.f32 -1 u))) s (/.f32 s u)) (fma.f32 3/2 (/.f32 s (*.f32 u u)) (/.f32 s (pow.f32 u 3))))
3/4
(+.f32 (*.f32 3/4 u) 3/4)
(fma.f32 3/4 u 3/4)
(+.f32 (.f32 3/4 u) (+.f32 3/4 (.f32 3/4 (pow.f32 u 2))))
(+.f32 (fma.f32 3/4 u 3/4) (.f32 3/4 (.f32 u u)))
(fma.f32 3/4 u (fma.f32 3/4 (*.f32 u u) 3/4))
(+.f32 3/4 (*.f32 u (fma.f32 3/4 u 3/4)))
(+.f32 (.f32 3/4 u) (+.f32 3/4 (+.f32 (.f32 3/4 (pow.f32 u 2)) (*.f32 3/4 (pow.f32 u 3)))))
(+.f32 (fma.f32 3/4 u 3/4) (.f32 3/4 (+.f32 (.f32 u u) (pow.f32 u 3))))
(fma.f32 3/4 u (fma.f32 3/4 (fma.f32 u u (pow.f32 u 3)) 3/4))
(*.f32 (fma.f32 u u 1) (fma.f32 3/4 u 3/4))
(/.f32 -3/4 u)
(neg.f32 (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 u 2))) (.f32 3/4 (/.f32 1 u))))
(neg.f32 (+.f32 (/.f32 3/4 (*.f32 u u)) (/.f32 3/4 u)))
(+.f32 (/.f32 -3/4 (*.f32 u u)) (/.f32 -3/4 u))
(-.f32 (/.f32 -3/4 u) (/.f32 3/4 (*.f32 u u)))
(+.f32 (/.f32 (/.f32 -3/4 u) u) (/.f32 -3/4 u))
(neg.f32 (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 u 3))) (+.f32 (.f32 3/4 (/.f32 1 u)) (*.f32 3/4 (/.f32 1 (pow.f32 u 2))))))
(neg.f32 (+.f32 (/.f32 3/4 (pow.f32 u 3)) (+.f32 (/.f32 3/4 (*.f32 u u)) (/.f32 3/4 u))))
(+.f32 (/.f32 -3/4 (pow.f32 u 3)) (+.f32 (/.f32 -3/4 (*.f32 u u)) (/.f32 -3/4 u)))
(+.f32 (/.f32 -3/4 (pow.f32 u 3)) (-.f32 (/.f32 -3/4 u) (/.f32 3/4 (*.f32 u u))))
(+.f32 (/.f32 -3/4 (pow.f32 u 3)) (+.f32 (/.f32 (/.f32 -3/4 u) u) (/.f32 -3/4 u)))
(neg.f32 (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 u 3))) (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 u 4))) (+.f32 (.f32 3/4 (/.f32 1 u)) (.f32 3/4 (/.f32 1 (pow.f32 u 2)))))))
(neg.f32 (+.f32 (/.f32 3/4 (pow.f32 u 3)) (+.f32 (+.f32 (/.f32 3/4 (*.f32 u u)) (/.f32 3/4 u)) (/.f32 3/4 (pow.f32 u 4)))))
(-.f32 (/.f32 -3/4 (pow.f32 u 3)) (+.f32 (+.f32 (/.f32 3/4 (*.f32 u u)) (/.f32 3/4 u)) (/.f32 3/4 (pow.f32 u 4))))
(+.f32 (+.f32 (/.f32 -3/4 (pow.f32 u 3)) (-.f32 (/.f32 -3/4 u) (/.f32 3/4 (*.f32 u u)))) (/.f32 -3/4 (pow.f32 u 4)))
(+.f32 (+.f32 (/.f32 -3/4 (pow.f32 u 3)) (+.f32 (/.f32 (/.f32 -3/4 u) u) (/.f32 -3/4 u))) (/.f32 -3/4 (pow.f32 u 4)))
(/.f32 -3/4 u)
(neg.f32 (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 u 2))) (.f32 3/4 (/.f32 1 u))))
(neg.f32 (+.f32 (/.f32 3/4 (*.f32 u u)) (/.f32 3/4 u)))
(+.f32 (/.f32 -3/4 (*.f32 u u)) (/.f32 -3/4 u))
(-.f32 (/.f32 -3/4 u) (/.f32 3/4 (*.f32 u u)))
(+.f32 (/.f32 (/.f32 -3/4 u) u) (/.f32 -3/4 u))
(neg.f32 (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 u 3))) (+.f32 (.f32 3/4 (/.f32 1 u)) (*.f32 3/4 (/.f32 1 (pow.f32 u 2))))))
(neg.f32 (+.f32 (/.f32 3/4 (pow.f32 u 3)) (+.f32 (/.f32 3/4 (*.f32 u u)) (/.f32 3/4 u))))
(+.f32 (/.f32 -3/4 (pow.f32 u 3)) (+.f32 (/.f32 -3/4 (*.f32 u u)) (/.f32 -3/4 u)))
(+.f32 (/.f32 -3/4 (pow.f32 u 3)) (-.f32 (/.f32 -3/4 u) (/.f32 3/4 (*.f32 u u))))
(+.f32 (/.f32 -3/4 (pow.f32 u 3)) (+.f32 (/.f32 (/.f32 -3/4 u) u) (/.f32 -3/4 u)))
(neg.f32 (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 u 3))) (+.f32 (.f32 3/4 (/.f32 1 (pow.f32 u 4))) (+.f32 (.f32 3/4 (/.f32 1 u)) (.f32 3/4 (/.f32 1 (pow.f32 u 2)))))))
(neg.f32 (+.f32 (/.f32 3/4 (pow.f32 u 3)) (+.f32 (+.f32 (/.f32 3/4 (*.f32 u u)) (/.f32 3/4 u)) (/.f32 3/4 (pow.f32 u 4)))))
(-.f32 (/.f32 -3/4 (pow.f32 u 3)) (+.f32 (+.f32 (/.f32 3/4 (*.f32 u u)) (/.f32 3/4 u)) (/.f32 3/4 (pow.f32 u 4))))
(+.f32 (+.f32 (/.f32 -3/4 (pow.f32 u 3)) (-.f32 (/.f32 -3/4 u) (/.f32 3/4 (*.f32 u u)))) (/.f32 -3/4 (pow.f32 u 4)))
(+.f32 (+.f32 (/.f32 -3/4 (pow.f32 u 3)) (+.f32 (/.f32 (/.f32 -3/4 u) u) (/.f32 -3/4 u))) (/.f32 -3/4 (pow.f32 u 4)))

eval191.0ms (1.8%)

Compiler: Compiled 5783 to 4718 computations (18.4% saved)

prune95.0ms (0.9%)

Pruning

33 alts after pruning (31 fresh and 2 done)

	Pruned	Kept	Total
New	318	31	349
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	318	33	351

Error

0.0b

Counts

351 → 33

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.2b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	1.3b	(.f32 (.f32 3 s) (+.f32 (log.f32 (/.f32 1 (-.f32 1 (pow.f32 (fma.f32 u 4/3 -1/3) 3)))) (log1p.f32 (+.f32 (fma.f32 u 4/3 -1/3) (pow.f32 (fma.f32 u 4/3 -1/3) 2)))))
▶	0.8b	(.f32 (.f32 3 s) (exp.f32 (log.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))))
	0.9b	(.f32 s (-.f32 (+.f32 1 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3)) 1))
	0.8b	(pow.f32 (sqrt.f32 (neg.f32 (.f32 (.f32 3 s) (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))) 2)
	1.2b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (fma.f32 (+.f32 u -1/4) -4/3 1))))
▶	20.4b	(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 (.f32 u u) (+.f32 u 3/2))))
	0.9b	(pow.f32 (cbrt.f32 (neg.f32 (.f32 (.f32 3 s) (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))) 3)
	0.9b	(.f32 s (.f32 (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3)) -3))
	3.1b	(exp.f32 (log.f32 (neg.f32 (.f32 (.f32 3 s) (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))))
	23.7b	(.f32 s (+.f32 (.f32 3 u) (*.f32 -3 (log.f32 4/3))))
	21.8b	(.f32 s (+.f32 (.f32 (log.f32 3/4) 3) (.f32 u (+.f32 3 (.f32 u 3/2)))))
▶	0.7b	(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))
✓	0.7b	(.f32 s (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3))
	0.9b	(.f32 (.f32 3 s) (pow.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3)))) 2))
	23.7b	(.f32 (+.f32 (log.f32 3/4) u) (.f32 3 s))
	11.7b	(.f32 s (.f32 (expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 u -4/3 1/3)))) -3))
	0.9b	(.f32 (.f32 3 s) (pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3)))) 3))
	23.7b	(+.f32 (.f32 3 (.f32 s (log.f32 3/4))) (.f32 3 (.f32 s u)))
	29.6b	(.f32 (.f32 3 s) (log.f32 3/4))
	0.7b	(.f32 s (expm1.f32 (log1p.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3))))
	1.5b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (+.f32 (-.f32 1 (*.f32 u 4/3)) 1/3))))
▶	29.6b	(.f32 3 (.f32 s (log.f32 3/4)))
	1.1b	(*.f32 s (log.f32 (pow.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) -3)))
	1.2b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (+.f32 (*.f32 (+.f32 u -1/4) -4/3) 1))))
	0.9b	(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 s -3))
▶	1.3b	(.f32 s (.f32 (log1p.f32 (/.f32 (-.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) 1/9) (-.f32 (.f32 u -4/3) 1/3))) -3))
	0.9b	(.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))
	1.1b	(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (+.f32 (*.f32 -4/3 u) 4/3))))
	23.7b	(.f32 s (.f32 (-.f32 (log.f32 4/3) u) -3))
	0.7b	(.f32 (.f32 3 s) (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))) 3) 1/3))
	1.2b	(.f32 3 (.f32 s (log.f32 (/.f32 1 (-.f32 1 (*.f32 4/3 (-.f32 u 1/4)))))))

Compiler

Compiled 925 to 783 computations (15.4% saved)

localize105.0ms (1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))
✓	0.3b	(*.f32 (+.f32 u -1/4) -4/3)
✓	0.4b	(log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))

Compiler

Compiled 42 to 33 computations (21.4% saved)

series115.0ms (1.1%)

Counts

3 → 48

Calls

12 calls:

Time	Variable		Point	Expression
106.0ms	s	@	0	(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))
1.0ms	s	@	inf	(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))
1.0ms	u	@	inf	(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))
1.0ms	s	@	-inf	(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))
1.0ms	u	@	0	(log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))

rewrite83.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

525×	`log-prod_binary32`
404×	`exp-prod_binary32`
291×	`pow-prod-down_binary32`
288×	`pow2_binary32`
215×	`prod-diff_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	12	33
1	256	31
2	3127	25

Stop Event

1×	node limit

Counts

3 → 105

Calls

Call 1

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

Outputs

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

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (fma.f32 u -4/3 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/3 (*.f32 u -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/3 (*.f32 -4/3 u))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 u -4/3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 -4/3 u) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (fma.f32 u -4/3 1/3))) 2)) (log.f32 (cbrt.f32 (exp.f32 (fma.f32 u -4/3 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (fma.f32 u -4/3 1/3)))) (log.f32 (sqrt.f32 (exp.f32 (fma.f32 u -4/3 1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 (+.f32 u -1/4) -4/3 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (+.f32 -1/64 (pow.f32 u 3)) -4/3) (-.f32 (fma.f32 u u 1/16) (*.f32 u -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (fma.f32 u u -1/16) -4/3) (+.f32 u 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -4/3 (+.f32 -1/64 (pow.f32 u 3))) (-.f32 (fma.f32 u u 1/16) (*.f32 u -1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -4/3 (fma.f32 u u -1/16)) (+.f32 u 1/4))))) (#(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) 2) 1/2)))) (#(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 pow.f32 (exp.f32 1) (log.f32 (fma.f32 u -4/3 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 u -4/3 1/3))) 2)) (cbrt.f32 (log.f32 (fma.f32 u -4/3 1/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (fma.f32 u -4/3 1/3)))) (sqrt.f32 (log.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) 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 expm1.f32 (log1p.f32 (fma.f32 u -4/3 1/3)))))) (#(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 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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (fma.f32 u -4/3 1/3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (fma.f32 u -4/3 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (fma.f32 u -4/3 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (fma.f32 u -4/3 1/3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u -4/3 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -4/3 u 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (fma.f32 (+.f32 u -1/4) -4/3 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (fma.f32 (+.f32 u -1/4) -4/3 1)) 2) (cbrt.f32 (fma.f32 (+.f32 u -1/4) -4/3 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (fma.f32 (+.f32 u -1/4) -4/3 1)) (sqrt.f32 (fma.f32 (+.f32 u -1/4) -4/3 1)) -1)))))

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

simplify71.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

386×	`associate-+r+_binary32`
363×	`fma-def_binary32`
360×	`associate-+l-_binary32`
337×	`times-frac_binary32`
304×	`unsub-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	88	788
1	252	730
2	714	707
3	2323	696
4	6604	696

Stop Event

1×	node limit

Counts

153 → 157

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

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

localize27.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 3 (.f32 s (log.f32 3/4)))
✓	0.6b	(*.f32 s (log.f32 3/4))

Compiler

Compiled 17 to 14 computations (17.6% saved)

series32.0ms (0.3%)

Counts

2 → 0

Calls

6 calls:

Time	Variable		Point	Expression
28.0ms	s	@	0	(*.f32 s (log.f32 3/4))
1.0ms	s	@	inf	(*.f32 s (log.f32 3/4))
1.0ms	s	@	0	(.f32 3 (.f32 s (log.f32 3/4)))
1.0ms	s	@	-inf	(*.f32 s (log.f32 3/4))
1.0ms	s	@	-inf	(.f32 3 (.f32 s (log.f32 3/4)))

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

605×	`pow1_binary32`
563×	`add-log-exp_binary32`
563×	`log1p-expm1-u_binary32`
563×	`expm1-log1p-u_binary32`
553×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	15
1	140	15
2	1537	15

Stop Event

1×	node limit

Counts

2 → 22

Calls

Call 1

Inputs
(*.f32 s (log.f32 3/4))
(.f32 3 (.f32 s (log.f32 3/4)))

Outputs

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

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

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

22 → 22

Calls

Call 1

Inputs

Outputs

localize116.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 (*.f32 u u) (+.f32 u 3/2)))
✓	0.4b	(*.f32 (+.f32 (log.f32 3/4) u) 3)
✓	0.4b	(.f32 (.f32 u u) (+.f32 u 3/2))
✓	1.1b	(+.f32 (log.f32 3/4) u)

Compiler

Compiled 62 to 40 computations (35.5% saved)

series8.0ms (0.1%)

Counts

4 → 39

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	u	@	0	(+.f32 (log.f32 3/4) u)
1.0ms	u	@	inf	(.f32 (.f32 u u) (+.f32 u 3/2))
1.0ms	u	@	-inf	(.f32 (.f32 u u) (+.f32 u 3/2))
1.0ms	u	@	0	(.f32 (.f32 u u) (+.f32 u 3/2))
0.0ms	u	@	inf	(*.f32 (+.f32 (log.f32 3/4) u) 3)

rewrite105.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`fma-def_binary32`
610×	`log-prod_binary32`
364×	`fma-neg_binary32`
348×	`pow2_binary32`
239×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	276	44
2	3939	44

Stop Event

1×	node limit

Counts

4 → 199

Calls

Call 1

Inputs
(+.f32 (log.f32 3/4) u)
(.f32 (.f32 u u) (+.f32 u 3/2))
(*.f32 (+.f32 (log.f32 3/4) u) 3)
(+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 (*.f32 u u) (+.f32 u 3/2)))

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

simplify117.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

652×	`distribute-rgt-in_binary32`
623×	`associate-+l+_binary32`
598×	`distribute-lft-in_binary32`
536×	`unswap-sqr_binary32`
498×	`sqr-pow_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	397
1	47	359
2	114	349
3	270	340
4	655	335
5	1778	335
6	3242	335
7	3474	335
8	3773	335
9	4312	335
10	5309	335
11	7324	335

Stop Event

1×	node limit

Counts

238 → 217

Calls

Call 1

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

Outputs
(log.f32 3/4)
u
u
(*.f32 3/2 (pow.f32 u 2))
(.f32 3/2 (.f32 u u))
(.f32 u (.f32 u 3/2))
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 (.f32 u u) (+.f32 u 3/2))
(.f32 u (.f32 u (+.f32 u 3/2)))
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 (.f32 u u) (+.f32 u 3/2))
(.f32 u (.f32 u (+.f32 u 3/2)))
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 (.f32 u u) (+.f32 u 3/2))
(.f32 u (.f32 u (+.f32 u 3/2)))
(pow.f32 u 3)
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 (.f32 u u) (+.f32 u 3/2))
(.f32 u (.f32 u (+.f32 u 3/2)))
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 (.f32 u u) (+.f32 u 3/2))
(.f32 u (.f32 u (+.f32 u 3/2)))
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 (.f32 u u) (+.f32 u 3/2))
(.f32 u (.f32 u (+.f32 u 3/2)))
(pow.f32 u 3)
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 (.f32 u u) (+.f32 u 3/2))
(.f32 u (.f32 u (+.f32 u 3/2)))
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 (.f32 u u) (+.f32 u 3/2))
(.f32 u (.f32 u (+.f32 u 3/2)))
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 (.f32 u u) (+.f32 u 3/2))
(.f32 u (.f32 u (+.f32 u 3/2)))
(*.f32 3 (log.f32 3/4))
(*.f32 (log.f32 3/4) 3)
(+.f32 (.f32 3 (log.f32 3/4)) (.f32 3 u))
(*.f32 3 (+.f32 (log.f32 3/4) u))
(+.f32 (.f32 3 (log.f32 3/4)) (.f32 3 u))
(*.f32 3 (+.f32 (log.f32 3/4) u))
(+.f32 (.f32 3 (log.f32 3/4)) (.f32 3 u))
(*.f32 3 (+.f32 (log.f32 3/4) u))
(*.f32 3 u)
(*.f32 u 3)
(+.f32 (.f32 3 (log.f32 3/4)) (.f32 3 u))
(*.f32 3 (+.f32 (log.f32 3/4) u))
(+.f32 (.f32 3 (log.f32 3/4)) (.f32 3 u))
(*.f32 3 (+.f32 (log.f32 3/4) u))
(+.f32 (.f32 3 (log.f32 3/4)) (.f32 3 u))
(*.f32 3 (+.f32 (log.f32 3/4) u))
(*.f32 3 u)
(*.f32 u 3)
(+.f32 (.f32 3 (log.f32 3/4)) (.f32 3 u))
(*.f32 3 (+.f32 (log.f32 3/4) u))
(+.f32 (.f32 3 (log.f32 3/4)) (.f32 3 u))
(*.f32 3 (+.f32 (log.f32 3/4) u))
(+.f32 (.f32 3 (log.f32 3/4)) (.f32 3 u))
(*.f32 3 (+.f32 (log.f32 3/4) u))
(*.f32 3 (log.f32 3/4))
(*.f32 (log.f32 3/4) 3)
(+.f32 (.f32 3 (log.f32 3/4)) (.f32 3 u))
(*.f32 3 (+.f32 (log.f32 3/4) u))
(+.f32 (.f32 3/2 (pow.f32 u 2)) (+.f32 (.f32 3 (log.f32 3/4)) (*.f32 3 u)))
(fma.f32 3/2 (.f32 u u) (.f32 3 (+.f32 (log.f32 3/4) u)))
(fma.f32 (log.f32 3/4) 3 (*.f32 u (fma.f32 u 3/2 3)))
(+.f32 (pow.f32 u 3) (+.f32 (.f32 3/2 (pow.f32 u 2)) (+.f32 (.f32 3 (log.f32 3/4)) (*.f32 3 u))))
(+.f32 (pow.f32 u 3) (fma.f32 3/2 (.f32 u u) (.f32 3 (+.f32 (log.f32 3/4) u))))
(+.f32 (.f32 (.f32 u u) (+.f32 3/2 u)) (*.f32 3 (+.f32 (log.f32 3/4) u)))
(fma.f32 (.f32 u u) (+.f32 u 3/2) (.f32 3 (+.f32 (log.f32 3/4) u)))
(fma.f32 u (fma.f32 u 3/2 3) (fma.f32 (log.f32 3/4) 3 (pow.f32 u 3)))
(fma.f32 u (fma.f32 u (+.f32 u 3/2) 3) (*.f32 (log.f32 3/4) 3))
(fma.f32 (log.f32 3/4) 3 (*.f32 u (fma.f32 u (+.f32 u 3/2) 3)))
(pow.f32 u 3)
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 (.f32 u u) (+.f32 u 3/2))
(.f32 u (.f32 u (+.f32 u 3/2)))
(+.f32 (pow.f32 u 3) (+.f32 (.f32 3/2 (pow.f32 u 2)) (.f32 3 u)))
(+.f32 (pow.f32 u 3) (fma.f32 3/2 (.f32 u u) (.f32 u 3)))
(+.f32 (.f32 (.f32 u u) (+.f32 3/2 u)) (*.f32 u 3))
(fma.f32 u 3 (.f32 (.f32 u u) (+.f32 u 3/2)))
(fma.f32 u (fma.f32 u 3/2 3) (pow.f32 u 3))
(*.f32 u (fma.f32 u (+.f32 u 3/2) 3))
(+.f32 (pow.f32 u 3) (+.f32 (.f32 3/2 (pow.f32 u 2)) (+.f32 (.f32 3 (log.f32 3/4)) (*.f32 3 u))))
(+.f32 (pow.f32 u 3) (fma.f32 3/2 (.f32 u u) (.f32 3 (+.f32 (log.f32 3/4) u))))
(+.f32 (.f32 (.f32 u u) (+.f32 3/2 u)) (*.f32 3 (+.f32 (log.f32 3/4) u)))
(fma.f32 (.f32 u u) (+.f32 u 3/2) (.f32 3 (+.f32 (log.f32 3/4) u)))
(fma.f32 u (fma.f32 u 3/2 3) (fma.f32 (log.f32 3/4) 3 (pow.f32 u 3)))
(fma.f32 u (fma.f32 u (+.f32 u 3/2) 3) (*.f32 (log.f32 3/4) 3))
(fma.f32 (log.f32 3/4) 3 (*.f32 u (fma.f32 u (+.f32 u 3/2) 3)))
(pow.f32 u 3)
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 (.f32 u u) (+.f32 u 3/2))
(.f32 u (.f32 u (+.f32 u 3/2)))
(+.f32 (pow.f32 u 3) (+.f32 (.f32 3/2 (pow.f32 u 2)) (.f32 3 u)))
(+.f32 (pow.f32 u 3) (fma.f32 3/2 (.f32 u u) (.f32 u 3)))
(+.f32 (.f32 (.f32 u u) (+.f32 3/2 u)) (*.f32 u 3))
(fma.f32 u 3 (.f32 (.f32 u u) (+.f32 u 3/2)))
(fma.f32 u (fma.f32 u 3/2 3) (pow.f32 u 3))
(*.f32 u (fma.f32 u (+.f32 u 3/2) 3))
(+.f32 (pow.f32 u 3) (+.f32 (.f32 3/2 (pow.f32 u 2)) (+.f32 (.f32 3 (log.f32 3/4)) (*.f32 3 u))))
(+.f32 (pow.f32 u 3) (fma.f32 3/2 (.f32 u u) (.f32 3 (+.f32 (log.f32 3/4) u))))
(+.f32 (.f32 (.f32 u u) (+.f32 3/2 u)) (*.f32 3 (+.f32 (log.f32 3/4) u)))
(fma.f32 (.f32 u u) (+.f32 u 3/2) (.f32 3 (+.f32 (log.f32 3/4) u)))
(fma.f32 u (fma.f32 u 3/2 3) (fma.f32 (log.f32 3/4) 3 (pow.f32 u 3)))
(fma.f32 u (fma.f32 u (+.f32 u 3/2) 3) (*.f32 (log.f32 3/4) 3))
(fma.f32 (log.f32 3/4) 3 (*.f32 u (fma.f32 u (+.f32 u 3/2) 3)))

localize76.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(-.f32 (*.f32 u -4/3) 1/3)
✓	0.4b	(log1p.f32 (/.f32 (-.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) 1/9) (-.f32 (.f32 u -4/3) 1/3)))
✓	0.5b	(-.f32 (.f32 (.f32 u -4/3) (*.f32 u -4/3)) 1/9)
✓	0.5b	(.f32 (.f32 u -4/3) (*.f32 u -4/3))

Compiler

Compiled 101 to 80 computations (20.8% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u	@	0	(.f32 (.f32 u -4/3) (*.f32 u -4/3))
0.0ms	u	@	inf	(.f32 (.f32 u -4/3) (*.f32 u -4/3))
0.0ms	u	@	0	(log1p.f32 (/.f32 (-.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) 1/9) (-.f32 (.f32 u -4/3) 1/3)))
0.0ms	u	@	inf	(log1p.f32 (/.f32 (-.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) 1/9) (-.f32 (.f32 u -4/3) 1/3)))
0.0ms	u	@	inf	(-.f32 (.f32 (.f32 u -4/3) (*.f32 u -4/3)) 1/9)

rewrite79.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

589×	`log-prod_binary32`
492×	`prod-diff_binary32`
339×	`fma-def_binary32`
313×	`pow2_binary32`
247×	`fma-neg_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	41
1	258	27
2	3468	27

Stop Event

1×	node limit

Counts

4 → 145

Calls

Call 1

Inputs
(.f32 (.f32 u -4/3) (*.f32 u -4/3))
(-.f32 (.f32 (.f32 u -4/3) (*.f32 u -4/3)) 1/9)
(log1p.f32 (/.f32 (-.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) 1/9) (-.f32 (.f32 u -4/3) 1/3)))
(-.f32 (*.f32 u -4/3) 1/3)

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u (.f32 16/9 u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u) (.f32 16/9 u))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u) (.f32 16/9 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u) (.f32 16/9 u)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u) (.f32 16/9 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u (.f32 16/9 u)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u -4/3) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u (.f32 16/9 u)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u -4/3) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cbrt.f32 (.f32 u -4/3)) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u -4/3) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 u -4/3) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u) (.f32 16/9 u)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u (.f32 16/9 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u -4/3) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u (.f32 16/9 u))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u (.f32 16/9 u))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 2 (log.f32 (.f32 u -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u -4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 2 (log.f32 (.f32 u -4/3))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u (.f32 16/9 u)) -1/9)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1/9 (.f32 u (.f32 16/9 u)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (fma.f32 u (.f32 16/9 u) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (fma.f32 u (.f32 16/9 u) -1/9))) 2)) (log.f32 (cbrt.f32 (exp.f32 (fma.f32 u (.f32 16/9 u) -1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (fma.f32 u (.f32 16/9 u) -1/9)))) (log.f32 (sqrt.f32 (exp.f32 (fma.f32 u (.f32 16/9 u) -1/9)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 u (.f32 16/9 u) -1/9) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (fma.f32 u (.f32 16/9 u) -1/9))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (fma.f32 u (.f32 16/9 u) -1/9)) (pow.f32 (cbrt.f32 (fma.f32 u (.f32 16/9 u) -1/9)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (fma.f32 u (.f32 16/9 u) 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((#(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 (pow.f32 (cbrt.f32 (+.f32 (fma.f32 u -4/3 1/3) 1)) 2)) (log.f32 (cbrt.f32 (+.f32 (fma.f32 u -4/3 1/3) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (hypot.f32 1 (sqrt.f32 (fma.f32 u -4/3 1/3)))) (log.f32 (hypot.f32 1 (sqrt.f32 (fma.f32 u -4/3 1/3)))))))) (#(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))) (cbrt.f32 (pow.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.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)) 2) 1/2)))) (#(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 (.f32 u -4/3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1/3 (.f32 u -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (fma.f32 u -4/3 -1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (fma.f32 u -4/3 -1/3))) 2)) (log.f32 (cbrt.f32 (exp.f32 (fma.f32 u -4/3 -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (fma.f32 u -4/3 -1/3)))) (log.f32 (sqrt.f32 (exp.f32 (fma.f32 u -4/3 -1/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 u (.f32 16/9 u) -1/9) (/.f32 1 (fma.f32 u -4/3 1/3)))))) (#(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)) (pow.f32 (cbrt.f32 (fma.f32 u -4/3 -1/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 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egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u -4/3 -1/3) 2) 1/2)))) (#(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 pow.f32 (/.f32 (fma.f32 u (.f32 16/9 u) (fma.f32 u -4/9 1/9)) (fma.f32 (pow.f32 u 3) -64/27 -1/27)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 u -4/3 1/3) (fma.f32 u (.f32 16/9 u) -1/9)) -1)))) (#(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 expm1.f32 (log1p.f32 (fma.f32 u -4/3 -1/3)))))) (#(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 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))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u -4/3 -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u 4/3 -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -4/3 u -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 u -4/3) 1 -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 u -4/3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 u) 2) (.f32 (cbrt.f32 u) -4/3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (.f32 u -4/3)) (pow.f32 (cbrt.f32 (.f32 u -4/3)) 2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (.f32 u -4/3)) 2) (cbrt.f32 (.f32 u -4/3)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 u) (sqrt.f32 (.f32 16/9 u)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 u) (.f32 (sqrt.f32 u) -4/3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 u -4/3)) (sqrt.f32 (.f32 u -4/3)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (.f32 u -4/3) 4))) (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 u -4/3)) 2)) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 u (.f32 u -4/3))) (sqrt.f32 -4/3) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 -4/3 (pow.f32 (cbrt.f32 u) 2)) (cbrt.f32 u) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (*.f32 -4/3 (sqrt.f32 u)) (sqrt.f32 u) -1/3)))))

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

840×	`fma-neg_binary32`
798×	`sub-neg_binary32`
401×	`fma-def_binary32`
358×	`associate-+l-_binary32`
243×	`associate--l+_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	53	455
1	141	437
2	372	433
3	1196	429
4	4636	429

Stop Event

1×	node limit

Counts

193 → 176

Calls

Call 1

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

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

localize67.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (.f32 3 s) (exp.f32 (log.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))))
	0.3b	(*.f32 (+.f32 u -1/4) -4/3)
	0.4b	(log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))
✓	0.7b	(log.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))

Compiler

Compiled 61 to 50 computations (18% saved)

series7.0ms (0.1%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	u	@	inf	(log.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))
1.0ms	u	@	-inf	(log.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))
1.0ms	u	@	0	(log.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))
0.0ms	u	@	inf	(.f32 (.f32 3 s) (exp.f32 (log.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))))
0.0ms	u	@	-inf	(.f32 (.f32 3 s) (exp.f32 (log.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))))

rewrite65.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

562×	`log-prod_binary32`
310×	`pow-prod-down_binary32`
308×	`pow2_binary32`
219×	`expm1-udef_binary32`
219×	`log1p-udef_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	14	30
1	278	26
2	3258	22

Stop Event

1×	node limit

Counts

2 → 60

Calls

Call 1

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

Outputs

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

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

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

726×	`distribute-rgt-in_binary32`
708×	`distribute-lft-in_binary32`
549×	`fma-def_binary32`
357×	`times-frac_binary32`
206×	`associate-l_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	136	1228
1	383	1105
2	1130	1048
3	4049	1037

Stop Event

1×	node limit

Counts

96 → 109

Calls

Call 1

Inputs
(log.f32 (neg.f32 (log.f32 4/3)))
(+.f32 (*.f32 -1 (/.f32 u (log.f32 4/3))) (log.f32 (neg.f32 (log.f32 4/3))))
(+.f32 (.f32 -1 (/.f32 u (log.f32 4/3))) (+.f32 (log.f32 (neg.f32 (log.f32 4/3))) (.f32 -1/2 (*.f32 (+.f32 (/.f32 1 (log.f32 4/3)) (/.f32 1 (pow.f32 (log.f32 4/3) 2))) (pow.f32 u 2)))))
(+.f32 (.f32 -1 (/.f32 u (log.f32 4/3))) (+.f32 (log.f32 (neg.f32 (log.f32 4/3))) (+.f32 (.f32 -1/6 (.f32 (+.f32 (.f32 2 (/.f32 1 (log.f32 4/3))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (log.f32 4/3) 2))) (.f32 2 (/.f32 1 (pow.f32 (log.f32 4/3) 3))))) (pow.f32 u 3))) (.f32 -1/2 (.f32 (+.f32 (/.f32 1 (log.f32 4/3)) (/.f32 1 (pow.f32 (log.f32 4/3) 2))) (pow.f32 u 2))))))
(log.f32 (neg.f32 (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))) (/.f32 1 (.f32 (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u)))) u)))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (/.f32 1 (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u))))) (/.f32 1 (pow.f32 (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))) 2))) (pow.f32 u 2))) (log.f32 (neg.f32 (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u))))))) (/.f32 1 (.f32 (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))) u)))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (/.f32 1 (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u))))) (/.f32 1 (pow.f32 (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))) 2))) (pow.f32 u 2))) (+.f32 (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (/.f32 1 (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))) 2))) (.f32 2 (/.f32 1 (pow.f32 (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))) 3))))) (pow.f32 u 3))) (log.f32 (neg.f32 (+.f32 (log.f32 -4/3) (.f32 -1 (log.f32 (/.f32 1 u)))))))) (/.f32 1 (.f32 (+.f32 (log.f32 -4/3) (*.f32 -1 (log.f32 (/.f32 1 u)))) u)))
(log.f32 (neg.f32 (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u))))))
(-.f32 (log.f32 (neg.f32 (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))) (/.f32 1 (.f32 (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u)))) u)))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (/.f32 1 (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u))))) (/.f32 1 (pow.f32 (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))) 2))) (pow.f32 u 2))) (log.f32 (neg.f32 (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u))))))) (/.f32 1 (.f32 (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))) u)))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (/.f32 1 (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u))))) (/.f32 1 (pow.f32 (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))) 2))) (pow.f32 u 2))) (+.f32 (log.f32 (neg.f32 (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))) (.f32 -1/6 (/.f32 (+.f32 (.f32 2 (/.f32 1 (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))))) (+.f32 (.f32 3 (/.f32 1 (pow.f32 (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))) 2))) (.f32 2 (/.f32 1 (pow.f32 (+.f32 (log.f32 4/3) (.f32 -1 (log.f32 (/.f32 -1 u)))) 3))))) (pow.f32 u 3))))) (/.f32 1 (.f32 (+.f32 (log.f32 4/3) (*.f32 -1 (log.f32 (/.f32 -1 u)))) u)))
(.f32 -3 (.f32 s (log.f32 (+.f32 1 (*.f32 -4/3 (-.f32 u 1/4))))))
(.f32 -3 (.f32 s (log.f32 (+.f32 1 (*.f32 -4/3 (-.f32 u 1/4))))))
(.f32 -3 (.f32 s (log.f32 (+.f32 1 (*.f32 -4/3 (-.f32 u 1/4))))))
(.f32 -3 (.f32 s (log.f32 (+.f32 1 (*.f32 -4/3 (-.f32 u 1/4))))))
(.f32 -3 (.f32 s (log.f32 (+.f32 1 (*.f32 -4/3 (-.f32 u 1/4))))))
(.f32 -3 (.f32 s (log.f32 (+.f32 1 (*.f32 -4/3 (-.f32 u 1/4))))))
(.f32 -3 (.f32 s (log.f32 (+.f32 1 (*.f32 -4/3 (-.f32 u 1/4))))))
(.f32 -3 (.f32 s (log.f32 (+.f32 1 (*.f32 -4/3 (-.f32 u 1/4))))))
(.f32 -3 (.f32 s (log.f32 (+.f32 1 (*.f32 -4/3 (-.f32 u 1/4))))))
(.f32 -3 (.f32 s (log.f32 (+.f32 1 (*.f32 -4/3 (-.f32 u 1/4))))))
(.f32 -3 (.f32 s (log.f32 (+.f32 1 (*.f32 -4/3 (-.f32 u 1/4))))))
(.f32 -3 (.f32 s (log.f32 (+.f32 1 (*.f32 -4/3 (-.f32 u 1/4))))))
(.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))))))

Outputs
(log.f32 (neg.f32 (log.f32 4/3)))
(+.f32 (*.f32 -1 (/.f32 u (log.f32 4/3))) (log.f32 (neg.f32 (log.f32 4/3))))
(fma.f32 -1 (/.f32 u (log.f32 4/3)) (log.f32 (neg.f32 (log.f32 4/3))))
(-.f32 (log.f32 (neg.f32 (log.f32 4/3))) (/.f32 u (log.f32 4/3)))
(+.f32 (.f32 -1 (/.f32 u (log.f32 4/3))) (+.f32 (log.f32 (neg.f32 (log.f32 4/3))) (.f32 -1/2 (*.f32 (+.f32 (/.f32 1 (log.f32 4/3)) (/.f32 1 (pow.f32 (log.f32 4/3) 2))) (pow.f32 u 2)))))
(+.f32 (fma.f32 -1 (/.f32 u (log.f32 4/3)) (log.f32 (neg.f32 (log.f32 4/3)))) (.f32 -1/2 (.f32 (+.f32 (/.f32 1 (log.f32 4/3)) (/.f32 1 (pow.f32 (log.f32 4/3) 2))) (*.f32 u u))))
(-.f32 (fma.f32 (.f32 -1/2 (+.f32 (/.f32 1 (log.f32 4/3)) (/.f32 1 (pow.f32 (log.f32 4/3) 2)))) (.f32 u u) (log.f32 (neg.f32 (log.f32 4/3)))) (/.f32 u (log.f32 4/3)))
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(.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 -3 s))
(.f32 -3 (.f32 s (log.f32 (+.f32 1 (*.f32 -4/3 (-.f32 u 1/4))))))
(.f32 (.f32 -3 s) (log1p.f32 (*.f32 -4/3 (+.f32 u -1/4))))
(.f32 -3 (.f32 s (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3))))
(.f32 -3 (.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))))
(.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 -3 s))
(.f32 -3 (.f32 s (log.f32 (+.f32 1 (*.f32 -4/3 (-.f32 u 1/4))))))
(.f32 (.f32 -3 s) (log1p.f32 (*.f32 -4/3 (+.f32 u -1/4))))
(.f32 -3 (.f32 s (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3))))
(.f32 -3 (.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))))
(.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 -3 s))
(.f32 -3 (.f32 s (log.f32 (+.f32 1 (*.f32 -4/3 (-.f32 u 1/4))))))
(.f32 (.f32 -3 s) (log1p.f32 (*.f32 -4/3 (+.f32 u -1/4))))
(.f32 -3 (.f32 s (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3))))
(.f32 -3 (.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))))
(.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 -3 s))
(.f32 -3 (.f32 s (log.f32 (+.f32 1 (*.f32 -4/3 (-.f32 u 1/4))))))
(.f32 (.f32 -3 s) (log1p.f32 (*.f32 -4/3 (+.f32 u -1/4))))
(.f32 -3 (.f32 s (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3))))
(.f32 -3 (.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))))
(.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) (.f32 -3 s))
(.f32 -3 (.f32 s (log.f32 4/3)))
(.f32 (.f32 -3 s) (log.f32 4/3))
(.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 (*.f32 -3 s) (log.f32 4/3)))
(fma.f32 3 (.f32 u s) (.f32 (log.f32 4/3) (*.f32 -3 s)))
(.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 (*.f32 -3 s) (log.f32 4/3))))
(fma.f32 3/2 (.f32 u (.f32 u s)) (fma.f32 3 (.f32 u s) (.f32 (log.f32 4/3) (*.f32 -3 s))))
(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 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 (*.f32 -3 s) (log.f32 4/3)))))
(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 (.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 (.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) (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u)))))
(.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) (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u))))))
(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 (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u)))) 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 (+.f32 (log.f32 -4/3) (neg.f32 (neg.f32 (log.f32 u)))) 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 -3 (.f32 (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u)))) s))
(.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 -3 (.f32 (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u)))) s)))
(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 (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u)))) s) (.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))))
(+.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 (+.f32 (log.f32 4/3) (neg.f32 (log.f32 (/.f32 -1 u)))) s) (.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)))))

eval414.0ms (3.8%)

Compiler: Compiled 15680 to 12258 computations (21.8% saved)

prune198.0ms (1.8%)

Pruning

44 alts after pruning (37 fresh and 7 done)

	Pruned	Kept	Total
New	769	16	785
Fresh	5	21	26
Picked	0	1	1
Done	0	6	6
Total	774	44	818

Error

0.0b

Counts

818 → 44

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))
	1.0b	(.f32 (.f32 3 s) (neg.f32 (log.f32 (fma.f32 (+.f32 u -1/4) -4/3 1))))
	1.1b	(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
	1.2b	(.f32 s (.f32 (log1p.f32 (/.f32 (-.f32 (.f32 16/9 (.f32 u u)) 1/9) (-.f32 (*.f32 u -4/3) 1/3))) -3))
✓	0.8b	(.f32 (.f32 3 s) (exp.f32 (log.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))))
	0.9b	(.f32 s (-.f32 (+.f32 1 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3)) 1))
▶	20.4b	(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (.f32 u (+.f32 u 3/2)))))
	28.8b	(-.f32 (+.f32 1 (.f32 s (.f32 (log.f32 3/4) 3))) 1)
	1.1b	(.f32 s (.f32 (log1p.f32 (/.f32 (fma.f32 (.f32 u (.f32 u -4/3)) -4/3 -1/9) (-.f32 (*.f32 u -4/3) 1/3))) -3))
	1.1b	(.f32 s (.f32 (log1p.f32 (/.f32 (fma.f32 (.f32 u u) 16/9 -1/9) (-.f32 (.f32 u -4/3) 1/3))) -3))
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (+.f32 (*.f32 -4/3 u) 4/3))))
	0.8b	(pow.f32 (sqrt.f32 (neg.f32 (.f32 (.f32 3 s) (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))) 2)
✓	20.4b	(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 (.f32 u u) (+.f32 u 3/2))))
	0.9b	(pow.f32 (cbrt.f32 (neg.f32 (.f32 (.f32 3 s) (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))) 3)
	11.7b	(.f32 s (.f32 (expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 u -4/3 1/3)))) -3))
	21.8b	(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (.f32 u 3/2))))
	0.9b	(.f32 s (.f32 (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3)) -3))
	3.1b	(exp.f32 (log.f32 (neg.f32 (.f32 (.f32 3 s) (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))))
	21.8b	(.f32 s (+.f32 (.f32 (log.f32 3/4) 3) (.f32 u (+.f32 3 (.f32 u 3/2)))))
	1.0b	(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3))))
▶	0.7b	(neg.f32 (.f32 3 (.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))))
✓	0.7b	(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))
✓	0.7b	(.f32 s (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3))
	0.9b	(.f32 (.f32 3 s) (pow.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3)))) 2))
	23.7b	(.f32 (+.f32 (log.f32 3/4) u) (.f32 3 s))
	20.4b	(.f32 s (+.f32 (+.f32 (.f32 (log.f32 3/4) 3) (.f32 u 3)) (.f32 (*.f32 u u) (+.f32 u 3/2))))
	23.7b	(+.f32 (.f32 3 (.f32 s (log.f32 3/4))) (.f32 3 (.f32 s u)))
▶	29.6b	(.f32 (.f32 3 s) (log.f32 3/4))
	0.7b	(.f32 s (expm1.f32 (log1p.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3))))
	1.7b	(.f32 s (.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 (fma.f32 u -4/3 1/3) 1)) 2)) (log.f32 (cbrt.f32 (+.f32 (fma.f32 u -4/3 1/3) 1)))) -3))
	1.0b	(.f32 -3 (.f32 s (log.f32 (+.f32 1 (*.f32 -4/3 (-.f32 u 1/4))))))
	0.7b	(.f32 (.f32 3 s) (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))) 3) 1/3))
	23.7b	(.f32 s (+.f32 (.f32 (log.f32 4/3) -3) (*.f32 u 3)))
	22.0b	(.f32 s (+.f32 (.f32 u 3) (.f32 (.f32 u u) (+.f32 u 3/2))))
▶	1.5b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (+.f32 (-.f32 1 (*.f32 u 4/3)) 1/3))))
✓	29.6b	(.f32 3 (.f32 s (log.f32 3/4)))
▶	1.1b	(*.f32 s (log.f32 (pow.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) -3)))
	1.2b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (+.f32 (*.f32 (+.f32 u -1/4) -4/3) 1))))
	0.9b	(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 s -3))
	0.9b	(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 u u -1/16) -4/3) (+.f32 u 1/4)))))
✓	1.3b	(.f32 s (.f32 (log1p.f32 (/.f32 (-.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) 1/9) (-.f32 (.f32 u -4/3) 1/3))) -3))
✓	1.2b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	23.7b	(.f32 s (.f32 (-.f32 (log.f32 4/3) u) -3))
	1.2b	(.f32 3 (.f32 s (log.f32 (/.f32 1 (-.f32 1 (*.f32 4/3 (-.f32 u 1/4)))))))

Compiler

Compiled 1201 to 995 computations (17.2% saved)

localize44.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))
✓	0.3b	(.f32 3 (.f32 s (log1p.f32 (fma.f32 u -4/3 1/3))))
	0.3b	(fma.f32 u -4/3 1/3)
	0.4b	(log1p.f32 (fma.f32 u -4/3 1/3))

Compiler

Compiled 42 to 32 computations (23.8% saved)

series5.0ms (0%)

Counts

2 → 48

Calls

12 calls:

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

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

886×	`pow1_binary32`
820×	`add-log-exp_binary32`
820×	`expm1-log1p-u_binary32`
819×	`log1p-expm1-u_binary32`
806×	`add-exp-log_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 → 24

Calls

Call 1

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

Outputs

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

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

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

664×	`fma-def_binary32`
488×	`associate-+r+_binary32`
453×	`associate-l_binary32`
361×	`fma-neg_binary32`
329×	`associate-r_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	87	909
1	257	854
2	786	810
3	2954	793

Stop Event

1×	node limit

Counts

72 → 76

Calls

Call 1

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

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

localize21.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.5b	(.f32 (.f32 3 s) (log.f32 3/4))

Compiler

Compiled 16 to 13 computations (18.8% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time	Variable		Point	Expression
0.0ms	s	@	0	(.f32 (.f32 3 s) (log.f32 3/4))
0.0ms	s	@	inf	(.f32 (.f32 3 s) (log.f32 3/4))
0.0ms	s	@	-inf	(.f32 (.f32 3 s) (log.f32 3/4))

rewrite46.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

607×	`pow1_binary32`
565×	`add-log-exp_binary32`
565×	`log1p-expm1-u_binary32`
565×	`expm1-log1p-u_binary32`
554×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	9
1	140	9
2	1542	9

Stop Event

1×	node limit

Counts

1 → 11

Calls

Call 1

Inputs
(.f32 (.f32 3 s) (log.f32 3/4))

Outputs

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

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary32`
3×	`associate-r_binary32`
3×	`associate-l_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	108
1	11	108
2	18	108
3	20	108

Stop Event

1×

saturated

Counts

23 → 12

Calls

Call 1

Inputs
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))

Outputs
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))
(.f32 3 (.f32 s (log.f32 3/4)))

localize64.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (*.f32 u (+.f32 u 3/2))))
✓	0.3b	(.f32 u (.f32 u (+.f32 u 3/2)))
	0.4b	(*.f32 (+.f32 (log.f32 3/4) u) 3)
	1.1b	(+.f32 (log.f32 3/4) u)

Compiler

Compiled 64 to 45 computations (29.7% saved)

series2.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
0.0ms	u	@	0	(.f32 u (.f32 u (+.f32 u 3/2)))
0.0ms	u	@	-inf	(.f32 u (.f32 u (+.f32 u 3/2)))
0.0ms	u	@	-inf	(+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (*.f32 u (+.f32 u 3/2))))
0.0ms	u	@	inf	(.f32 u (.f32 u (+.f32 u 3/2)))
0.0ms	u	@	0	(+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (*.f32 u (+.f32 u 3/2))))

rewrite77.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

652×	`fma-def_binary32`
624×	`log-prod_binary32`
346×	`pow2_binary32`
276×	`fma-neg_binary32`
240×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	29
1	273	29
2	3791	29

Stop Event

1×	node limit

Counts

2 → 132

Calls

Call 1

Inputs
(.f32 u (.f32 u (+.f32 u 3/2)))
(+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (*.f32 u (+.f32 u 3/2))))

Outputs

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

simplify115.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

652×	`distribute-rgt-in_binary32`
622×	`associate-+l+_binary32`
598×	`distribute-lft-in_binary32`
536×	`unswap-sqr_binary32`
498×	`sqr-pow_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	18	297
1	47	259
2	114	249
3	270	240
4	657	235
5	1803	235
6	3275	235
7	3507	235
8	3807	235
9	4346	235
10	5343	235
11	7358	235

Stop Event

1×	node limit

Counts

156 → 146

Calls

Call 1

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

Outputs
(*.f32 3/2 (pow.f32 u 2))
(.f32 3/2 (.f32 u u))
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 u (.f32 u (+.f32 3/2 u)))
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 u (.f32 u (+.f32 3/2 u)))
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 u (.f32 u (+.f32 3/2 u)))
(pow.f32 u 3)
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 u (.f32 u (+.f32 3/2 u)))
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 u (.f32 u (+.f32 3/2 u)))
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 u (.f32 u (+.f32 3/2 u)))
(pow.f32 u 3)
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 u (.f32 u (+.f32 3/2 u)))
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 u (.f32 u (+.f32 3/2 u)))
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 u (.f32 u (+.f32 3/2 u)))
(*.f32 3 (log.f32 3/4))
(+.f32 (.f32 3 (log.f32 3/4)) (.f32 3 u))
(*.f32 3 (+.f32 (log.f32 3/4) u))
(*.f32 3 (+.f32 u (log.f32 3/4)))
(+.f32 (.f32 3/2 (pow.f32 u 2)) (+.f32 (.f32 3 (log.f32 3/4)) (*.f32 3 u)))
(fma.f32 3/2 (.f32 u u) (.f32 3 (+.f32 (log.f32 3/4) u)))
(fma.f32 3/2 (.f32 u u) (.f32 3 (+.f32 u (log.f32 3/4))))
(fma.f32 u (fma.f32 3/2 u 3) (*.f32 3 (log.f32 3/4)))
(+.f32 (pow.f32 u 3) (+.f32 (.f32 3/2 (pow.f32 u 2)) (+.f32 (.f32 3 (log.f32 3/4)) (*.f32 3 u))))
(+.f32 (pow.f32 u 3) (fma.f32 3/2 (.f32 u u) (.f32 3 (+.f32 (log.f32 3/4) u))))
(+.f32 (.f32 (.f32 u u) (+.f32 3/2 u)) (*.f32 3 (+.f32 u (log.f32 3/4))))
(fma.f32 (.f32 u u) (+.f32 3/2 u) (.f32 3 (+.f32 u (log.f32 3/4))))
(fma.f32 u (fma.f32 3/2 u 3) (fma.f32 3 (log.f32 3/4) (pow.f32 u 3)))
(fma.f32 u (fma.f32 u (+.f32 3/2 u) 3) (*.f32 3 (log.f32 3/4)))
(pow.f32 u 3)
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 u (.f32 u (+.f32 3/2 u)))
(+.f32 (pow.f32 u 3) (+.f32 (.f32 3/2 (pow.f32 u 2)) (.f32 3 u)))
(+.f32 (pow.f32 u 3) (fma.f32 3/2 (.f32 u u) (.f32 u 3)))
(+.f32 (.f32 (.f32 u u) (+.f32 3/2 u)) (*.f32 u 3))
(fma.f32 u 3 (.f32 u (.f32 u (+.f32 3/2 u))))
(fma.f32 u (fma.f32 3/2 u 3) (pow.f32 u 3))
(*.f32 u (fma.f32 u (+.f32 3/2 u) 3))
(+.f32 (pow.f32 u 3) (+.f32 (.f32 3/2 (pow.f32 u 2)) (+.f32 (.f32 3 (log.f32 3/4)) (*.f32 3 u))))
(+.f32 (pow.f32 u 3) (fma.f32 3/2 (.f32 u u) (.f32 3 (+.f32 (log.f32 3/4) u))))
(+.f32 (.f32 (.f32 u u) (+.f32 3/2 u)) (*.f32 3 (+.f32 u (log.f32 3/4))))
(fma.f32 (.f32 u u) (+.f32 3/2 u) (.f32 3 (+.f32 u (log.f32 3/4))))
(fma.f32 u (fma.f32 3/2 u 3) (fma.f32 3 (log.f32 3/4) (pow.f32 u 3)))
(fma.f32 u (fma.f32 u (+.f32 3/2 u) 3) (*.f32 3 (log.f32 3/4)))
(pow.f32 u 3)
(+.f32 (pow.f32 u 3) (*.f32 3/2 (pow.f32 u 2)))
(+.f32 (.f32 3/2 (.f32 u u)) (pow.f32 u 3))
(.f32 (.f32 u u) (+.f32 3/2 u))
(.f32 u (.f32 u (+.f32 3/2 u)))
(+.f32 (pow.f32 u 3) (+.f32 (.f32 3/2 (pow.f32 u 2)) (.f32 3 u)))
(+.f32 (pow.f32 u 3) (fma.f32 3/2 (.f32 u u) (.f32 u 3)))
(+.f32 (.f32 (.f32 u u) (+.f32 3/2 u)) (*.f32 u 3))
(fma.f32 u 3 (.f32 u (.f32 u (+.f32 3/2 u))))
(fma.f32 u (fma.f32 3/2 u 3) (pow.f32 u 3))
(*.f32 u (fma.f32 u (+.f32 3/2 u) 3))
(+.f32 (pow.f32 u 3) (+.f32 (.f32 3/2 (pow.f32 u 2)) (+.f32 (.f32 3 (log.f32 3/4)) (*.f32 3 u))))
(+.f32 (pow.f32 u 3) (fma.f32 3/2 (.f32 u u) (.f32 3 (+.f32 (log.f32 3/4) u))))
(+.f32 (.f32 (.f32 u u) (+.f32 3/2 u)) (*.f32 3 (+.f32 u (log.f32 3/4))))
(fma.f32 (.f32 u u) (+.f32 3/2 u) (.f32 3 (+.f32 u (log.f32 3/4))))
(fma.f32 u (fma.f32 3/2 u 3) (fma.f32 3 (log.f32 3/4) (pow.f32 u 3)))
(fma.f32 u (fma.f32 u (+.f32 3/2 u) 3) (*.f32 3 (log.f32 3/4)))

localize56.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(*.f32 u 4/3)
✓	0.6b	(+.f32 (-.f32 1 (*.f32 u 4/3)) 1/3)
✓	0.9b	(log.f32 (/.f32 1 (+.f32 (-.f32 1 (*.f32 u 4/3)) 1/3)))
✓	1.2b	(-.f32 1 (*.f32 u 4/3))

Compiler

Compiled 59 to 49 computations (16.9% saved)

series5.0ms (0%)

Counts

4 → 48

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u	@	0	(-.f32 1 (*.f32 u 4/3))
0.0ms	u	@	-inf	(*.f32 u 4/3)
0.0ms	u	@	inf	(*.f32 u 4/3)
0.0ms	u	@	0	(*.f32 u 4/3)
0.0ms	u	@	inf	(log.f32 (/.f32 1 (+.f32 (-.f32 1 (*.f32 u 4/3)) 1/3)))

rewrite81.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

450×	`log-prod_binary32`
440×	`prod-diff_binary32`
353×	`exp-prod_binary32`
270×	`pow2_binary32`
233×	`pow-prod-down_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	10	35
1	225	29
2	2820	25

Stop Event

1×	node limit

Counts

4 → 192

Calls

Call 1

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

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (.f32 u -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (.f32 (.f32 u -4/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (fma.f32 u -4/3 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u -4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (fma.f32 u -4/3 1))) 2)) (.f32 (fma.f32 u -4/3 1) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (fma.f32 u -4/3 1)))) (log.f32 (sqrt.f32 (exp.f32 (fma.f32 u -4/3 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (fma.f32 u -4/3 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 u -4/3 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (fma.f32 u -4/3 1)) (pow.f32 (cbrt.f32 (fma.f32 u -4/3 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 1)) 2) (cbrt.f32 (fma.f32 u -4/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 u -4/3 1)) (sqrt.f32 (fma.f32 u -4/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 (.f32 (pow.f32 u 3) 64/27)) (/.f32 1 (fma.f32 (.f32 u 4/3) (fma.f32 u 4/3 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 (.f32 (.f32 u u) 16/9)) (/.f32 1 (fma.f32 u 4/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 (.f32 u 4/3) (fma.f32 u 4/3 1) 1) (-.f32 1 (.f32 (pow.f32 u 3) 64/27))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 u 4/3 1) (-.f32 1 (.f32 (.f32 u u) 16/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (.f32 (pow.f32 u 3) 64/27)) (fma.f32 (.f32 u 4/3) (fma.f32 u 4/3 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (.f32 (.f32 u u) 16/9)) (fma.f32 u 4/3 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 1 (.f32 (pow.f32 u 3) 64/27))) (neg.f32 (fma.f32 (.f32 u 4/3) (fma.f32 u 4/3 1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 1 (.f32 (.f32 u u) 16/9))) (neg.f32 (fma.f32 u 4/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (.f32 u -4/3) 3)) (+.f32 1 (-.f32 (pow.f32 (.f32 u -4/3) 2) (.f32 u -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (pow.f32 (.f32 u -4/3) 2)) (-.f32 1 (.f32 u -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 u -4/3 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log1p.f32 (.f32 u -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u -4/3 1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 u -4/3 1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 u -4/3 1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u -4/3 1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 (.f32 u 4/3) (fma.f32 u 4/3 1) 1) (-.f32 1 (.f32 (pow.f32 u 3) 64/27))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 u 4/3 1) (-.f32 1 (.f32 (.f32 u u) 16/9))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4/3))) 2)) (cbrt.f32 (log1p.f32 (.f32 u -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log1p.f32 (.f32 u -4/3)))) (sqrt.f32 (log1p.f32 (.f32 u -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 u -4/3 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 u -4/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (fma.f32 u -4/3 1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.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)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 u -4/3 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log1p.f32 (.f32 u -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log1p.f32 (.f32 u -4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 1/3 (log1p.f32 (.f32 u -4/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 1/2 (log1p.f32 (.f32 u -4/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log1p.f32 (.f32 u -4/3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log1p.f32 (.f32 u -4/3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log1p.f32 (.f32 u -4/3)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 u -4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u -4/3 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 4/3 (neg.f32 u) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (.f32 (.f32 u u) 16/9)) (neg.f32 (cbrt.f32 (.f32 u 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 u 4/3)) (neg.f32 (sqrt.f32 (.f32 u 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) 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(fma.f32 u -4/3 1/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log1p.f32 (fma.f32 u -4/3 1/3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 1/3 (log1p.f32 (fma.f32 u -4/3 1/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 1/2 (log1p.f32 (fma.f32 u -4/3 1/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (fma.f32 u -4/3 1) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (fma.f32 u -4/3 1) 1 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (fma.f32 u -4/3 1)) (pow.f32 (cbrt.f32 (fma.f32 u -4/3 1)) 2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 1)) 2) (cbrt.f32 (fma.f32 u -4/3 1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (fma.f32 u -4/3 1)) (sqrt.f32 (fma.f32 u -4/3 1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (-.f32 1 (.f32 (pow.f32 u 3) 64/27)) (/.f32 1 (fma.f32 (.f32 u 4/3) (fma.f32 u 4/3 1) 1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (-.f32 1 (.f32 (.f32 u u) 16/9)) (/.f32 1 (fma.f32 u 4/3 1)) 1/3)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 4/3) u)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 4/3) u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 4/3) u))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 4/3) u))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (fma.f32 u 4/3 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (.f32 u 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (.f32 u u) 16/9) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 u 3) 64/27) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 u 4/3))) 2)) (cbrt.f32 (log.f32 (.f32 u 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 u 4/3)))) (sqrt.f32 (log.f32 (.f32 u 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (.f32 u u) 16/9))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 4/3) u))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 u 3) 64/27))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u 4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 u 4/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 u 4/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (pow.f32 u 3) 64/27)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (.f32 u 4/3)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (*.f32 u 4/3)) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (fma.f32 u 4/3 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (fma.f32 u 4/3 1)) 2) (cbrt.f32 (fma.f32 u 4/3 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (fma.f32 u 4/3 1)) (sqrt.f32 (fma.f32 u 4/3 1)) -1)))))

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

680×	`fma-neg_binary32`
536×	`unswap-sqr_binary32`
498×	`associate-l_binary32`
468×	`associate-+l+_binary32`
409×	`sub-neg_binary32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	49	374
1	125	364
2	339	364
3	1032	359
4	3059	359
5	6917	357

Stop Event

1×	node limit

Counts

240 → 225

Calls

Call 1

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

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

localize48.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(fma.f32 u -4/3 1/3)
✓	0.4b	(log.f32 (pow.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) -3))
✓	0.5b	(+.f32 (fma.f32 u -4/3 1/3) 1)
✓	0.6b	(pow.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) -3)

Compiler

Compiled 46 to 38 computations (17.4% saved)

series4.0ms (0%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u	@	inf	(pow.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) -3)
1.0ms	u	@	0	(pow.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) -3)
1.0ms	u	@	-inf	(pow.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) -3)
0.0ms	u	@	inf	(log.f32 (pow.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) -3))
0.0ms	u	@	-inf	(log.f32 (pow.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) -3))

rewrite70.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

909×	`pow1_binary32`
856×	`add-log-exp_binary32`
856×	`log1p-expm1-u_binary32`
856×	`expm1-log1p-u_binary32`
842×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	32
1	211	27
2	2342	27

Stop Event

1×	node limit

Counts

3 → 65

Calls

Call 1

Inputs
(pow.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) -3)
(+.f32 (fma.f32 u -4/3 1/3) 1)
(log.f32 (pow.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) -3))

Outputs

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

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

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

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

818×	`fma-def_binary32`
634×	`cancel-sign-sub-inv_binary32`
492×	`unswap-sqr_binary32`
471×	`distribute-neg-frac_binary32`
416×	`associate-/r*_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	75	515
1	201	484
2	557	479
3	1757	461
4	5815	461

Stop Event

1×	node limit

Counts

101 → 108

Calls

Call 1

Inputs
27/64
(+.f32 27/64 (*.f32 81/64 u))
(+.f32 27/64 (+.f32 (.f32 81/32 (pow.f32 u 2)) (.f32 81/64 u)))
(+.f32 27/64 (+.f32 (.f32 81/32 (pow.f32 u 2)) (+.f32 (.f32 135/32 (pow.f32 u 3)) (*.f32 81/64 u))))
(/.f32 -27/64 (pow.f32 u 3))
(neg.f32 (+.f32 (.f32 81/64 (/.f32 1 (pow.f32 u 4))) (.f32 27/64 (/.f32 1 (pow.f32 u 3)))))
(neg.f32 (+.f32 (.f32 81/64 (/.f32 1 (pow.f32 u 4))) (+.f32 (.f32 27/64 (/.f32 1 (pow.f32 u 3))) (*.f32 81/32 (/.f32 1 (pow.f32 u 5))))))
(neg.f32 (+.f32 (.f32 81/64 (/.f32 1 (pow.f32 u 4))) (+.f32 (.f32 135/32 (/.f32 1 (pow.f32 u 6))) (+.f32 (.f32 27/64 (/.f32 1 (pow.f32 u 3))) (.f32 81/32 (/.f32 1 (pow.f32 u 5)))))))
(/.f32 -27/64 (pow.f32 u 3))
(neg.f32 (+.f32 (.f32 81/64 (/.f32 1 (pow.f32 u 4))) (.f32 27/64 (/.f32 1 (pow.f32 u 3)))))
(neg.f32 (+.f32 (.f32 81/64 (/.f32 1 (pow.f32 u 4))) (+.f32 (.f32 27/64 (/.f32 1 (pow.f32 u 3))) (*.f32 81/32 (/.f32 1 (pow.f32 u 5))))))
(neg.f32 (+.f32 (.f32 81/64 (/.f32 1 (pow.f32 u 4))) (+.f32 (.f32 135/32 (/.f32 1 (pow.f32 u 6))) (+.f32 (.f32 27/64 (/.f32 1 (pow.f32 u 3))) (.f32 81/32 (/.f32 1 (pow.f32 u 5)))))))
4/3
(+.f32 (*.f32 -4/3 u) 4/3)
(+.f32 (*.f32 -4/3 u) 4/3)
(+.f32 (*.f32 -4/3 u) 4/3)
(*.f32 -4/3 u)
(+.f32 4/3 (*.f32 -4/3 u))
(+.f32 4/3 (*.f32 -4/3 u))
(+.f32 4/3 (*.f32 -4/3 u))
(*.f32 -4/3 u)
(+.f32 4/3 (*.f32 -4/3 u))
(+.f32 4/3 (*.f32 -4/3 u))
(+.f32 4/3 (*.f32 -4/3 u))
(log.f32 27/64)
(+.f32 (*.f32 3 u) (log.f32 27/64))
(+.f32 (.f32 3/2 (pow.f32 u 2)) (+.f32 (.f32 3 u) (log.f32 27/64)))
(+.f32 (pow.f32 u 3) (+.f32 (.f32 3/2 (pow.f32 u 2)) (+.f32 (.f32 3 u) (log.f32 27/64))))
(+.f32 (log.f32 -27/64) (*.f32 3 (log.f32 (/.f32 1 u))))
(+.f32 (.f32 3 (/.f32 1 u)) (+.f32 (log.f32 -27/64) (.f32 3 (log.f32 (/.f32 1 u)))))
(+.f32 (.f32 3/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 3 (/.f32 1 u)) (+.f32 (log.f32 -27/64) (*.f32 3 (log.f32 (/.f32 1 u))))))
(+.f32 (/.f32 1 (pow.f32 u 3)) (+.f32 (.f32 3/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 3 (/.f32 1 u)) (+.f32 (log.f32 -27/64) (*.f32 3 (log.f32 (/.f32 1 u)))))))
(+.f32 (log.f32 27/64) (*.f32 3 (log.f32 (/.f32 -1 u))))
(+.f32 (.f32 3 (/.f32 1 u)) (+.f32 (log.f32 27/64) (.f32 3 (log.f32 (/.f32 -1 u)))))
(+.f32 (.f32 3/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 3 (/.f32 1 u)) (+.f32 (log.f32 27/64) (*.f32 3 (log.f32 (/.f32 -1 u))))))
(+.f32 (/.f32 1 (pow.f32 u 3)) (+.f32 (.f32 3/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 3 (/.f32 1 u)) (+.f32 (log.f32 27/64) (*.f32 3 (log.f32 (/.f32 -1 u)))))))

Outputs
27/64
(+.f32 27/64 (*.f32 81/64 u))
(fma.f32 81/64 u 27/64)
(+.f32 27/64 (+.f32 (.f32 81/32 (pow.f32 u 2)) (.f32 81/64 u)))
(+.f32 27/64 (fma.f32 81/32 (.f32 u u) (.f32 81/64 u)))
(+.f32 (fma.f32 81/64 u 27/64) (.f32 u (.f32 u 81/32)))
(fma.f32 81/64 u (fma.f32 81/32 (*.f32 u u) 27/64))
(fma.f32 u (fma.f32 u 81/32 81/64) 27/64)
(+.f32 27/64 (+.f32 (.f32 81/32 (pow.f32 u 2)) (+.f32 (.f32 135/32 (pow.f32 u 3)) (*.f32 81/64 u))))
(+.f32 27/64 (fma.f32 81/32 (.f32 u u) (fma.f32 135/32 (pow.f32 u 3) (.f32 81/64 u))))
(+.f32 (fma.f32 81/32 (.f32 u u) (.f32 135/32 (pow.f32 u 3))) (fma.f32 81/64 u 27/64))
(+.f32 27/64 (fma.f32 81/64 u (.f32 (.f32 u u) (+.f32 81/32 (*.f32 u 135/32)))))
(fma.f32 u (fma.f32 u 81/32 81/64) (fma.f32 135/32 (pow.f32 u 3) 27/64))
(/.f32 -27/64 (pow.f32 u 3))
(neg.f32 (+.f32 (.f32 81/64 (/.f32 1 (pow.f32 u 4))) (.f32 27/64 (/.f32 1 (pow.f32 u 3)))))
(neg.f32 (+.f32 (/.f32 81/64 (pow.f32 u 4)) (/.f32 27/64 (pow.f32 u 3))))
(+.f32 (/.f32 -81/64 (pow.f32 u 4)) (/.f32 -27/64 (pow.f32 u 3)))
(neg.f32 (+.f32 (.f32 81/64 (/.f32 1 (pow.f32 u 4))) (+.f32 (.f32 27/64 (/.f32 1 (pow.f32 u 3))) (*.f32 81/32 (/.f32 1 (pow.f32 u 5))))))
(neg.f32 (+.f32 (/.f32 81/64 (pow.f32 u 4)) (+.f32 (/.f32 27/64 (pow.f32 u 3)) (/.f32 81/32 (pow.f32 u 5)))))
(-.f32 (+.f32 (/.f32 -81/64 (pow.f32 u 4)) (/.f32 -27/64 (pow.f32 u 3))) (/.f32 81/32 (pow.f32 u 5)))
(-.f32 (+.f32 (/.f32 -27/64 (pow.f32 u 3)) (/.f32 -81/32 (pow.f32 u 5))) (/.f32 81/64 (pow.f32 u 4)))
(+.f32 (+.f32 (/.f32 -81/64 (pow.f32 u 4)) (/.f32 -27/64 (pow.f32 u 3))) (/.f32 -81/32 (pow.f32 u 5)))
(neg.f32 (+.f32 (.f32 81/64 (/.f32 1 (pow.f32 u 4))) (+.f32 (.f32 135/32 (/.f32 1 (pow.f32 u 6))) (+.f32 (.f32 27/64 (/.f32 1 (pow.f32 u 3))) (.f32 81/32 (/.f32 1 (pow.f32 u 5)))))))
(neg.f32 (+.f32 (/.f32 81/64 (pow.f32 u 4)) (+.f32 (+.f32 (/.f32 27/64 (pow.f32 u 3)) (/.f32 81/32 (pow.f32 u 5))) (/.f32 135/32 (pow.f32 u 6)))))
(-.f32 (/.f32 -81/64 (pow.f32 u 4)) (+.f32 (+.f32 (/.f32 27/64 (pow.f32 u 3)) (/.f32 81/32 (pow.f32 u 5))) (/.f32 135/32 (pow.f32 u 6))))
(+.f32 (-.f32 (+.f32 (/.f32 -27/64 (pow.f32 u 3)) (/.f32 -81/32 (pow.f32 u 5))) (/.f32 81/64 (pow.f32 u 4))) (/.f32 -135/32 (pow.f32 u 6)))
(+.f32 (+.f32 (/.f32 -81/64 (pow.f32 u 4)) (/.f32 -27/64 (pow.f32 u 3))) (-.f32 (/.f32 -81/32 (pow.f32 u 5)) (/.f32 135/32 (pow.f32 u 6))))
(/.f32 -27/64 (pow.f32 u 3))
(neg.f32 (+.f32 (.f32 81/64 (/.f32 1 (pow.f32 u 4))) (.f32 27/64 (/.f32 1 (pow.f32 u 3)))))
(neg.f32 (+.f32 (/.f32 81/64 (pow.f32 u 4)) (/.f32 27/64 (pow.f32 u 3))))
(+.f32 (/.f32 -81/64 (pow.f32 u 4)) (/.f32 -27/64 (pow.f32 u 3)))
(neg.f32 (+.f32 (.f32 81/64 (/.f32 1 (pow.f32 u 4))) (+.f32 (.f32 27/64 (/.f32 1 (pow.f32 u 3))) (*.f32 81/32 (/.f32 1 (pow.f32 u 5))))))
(neg.f32 (+.f32 (/.f32 81/64 (pow.f32 u 4)) (+.f32 (/.f32 27/64 (pow.f32 u 3)) (/.f32 81/32 (pow.f32 u 5)))))
(-.f32 (+.f32 (/.f32 -81/64 (pow.f32 u 4)) (/.f32 -27/64 (pow.f32 u 3))) (/.f32 81/32 (pow.f32 u 5)))
(-.f32 (+.f32 (/.f32 -27/64 (pow.f32 u 3)) (/.f32 -81/32 (pow.f32 u 5))) (/.f32 81/64 (pow.f32 u 4)))
(+.f32 (+.f32 (/.f32 -81/64 (pow.f32 u 4)) (/.f32 -27/64 (pow.f32 u 3))) (/.f32 -81/32 (pow.f32 u 5)))
(neg.f32 (+.f32 (.f32 81/64 (/.f32 1 (pow.f32 u 4))) (+.f32 (.f32 135/32 (/.f32 1 (pow.f32 u 6))) (+.f32 (.f32 27/64 (/.f32 1 (pow.f32 u 3))) (.f32 81/32 (/.f32 1 (pow.f32 u 5)))))))
(neg.f32 (+.f32 (/.f32 81/64 (pow.f32 u 4)) (+.f32 (+.f32 (/.f32 27/64 (pow.f32 u 3)) (/.f32 81/32 (pow.f32 u 5))) (/.f32 135/32 (pow.f32 u 6)))))
(-.f32 (/.f32 -81/64 (pow.f32 u 4)) (+.f32 (+.f32 (/.f32 27/64 (pow.f32 u 3)) (/.f32 81/32 (pow.f32 u 5))) (/.f32 135/32 (pow.f32 u 6))))
(+.f32 (-.f32 (+.f32 (/.f32 -27/64 (pow.f32 u 3)) (/.f32 -81/32 (pow.f32 u 5))) (/.f32 81/64 (pow.f32 u 4))) (/.f32 -135/32 (pow.f32 u 6)))
(+.f32 (+.f32 (/.f32 -81/64 (pow.f32 u 4)) (/.f32 -27/64 (pow.f32 u 3))) (-.f32 (/.f32 -81/32 (pow.f32 u 5)) (/.f32 135/32 (pow.f32 u 6))))
4/3
(+.f32 (*.f32 -4/3 u) 4/3)
(fma.f32 -4/3 u 4/3)
(fma.f32 u -4/3 4/3)
(+.f32 (*.f32 -4/3 u) 4/3)
(fma.f32 -4/3 u 4/3)
(fma.f32 u -4/3 4/3)
(+.f32 (*.f32 -4/3 u) 4/3)
(fma.f32 -4/3 u 4/3)
(fma.f32 u -4/3 4/3)
(*.f32 -4/3 u)
(*.f32 u -4/3)
(+.f32 4/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 4/3)
(fma.f32 u -4/3 4/3)
(+.f32 4/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 4/3)
(fma.f32 u -4/3 4/3)
(+.f32 4/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 4/3)
(fma.f32 u -4/3 4/3)
(*.f32 -4/3 u)
(*.f32 u -4/3)
(+.f32 4/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 4/3)
(fma.f32 u -4/3 4/3)
(+.f32 4/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 4/3)
(fma.f32 u -4/3 4/3)
(+.f32 4/3 (*.f32 -4/3 u))
(fma.f32 -4/3 u 4/3)
(fma.f32 u -4/3 4/3)
(log.f32 27/64)
(+.f32 (*.f32 3 u) (log.f32 27/64))
(fma.f32 3 u (log.f32 27/64))
(fma.f32 u 3 (log.f32 27/64))
(+.f32 (.f32 3/2 (pow.f32 u 2)) (+.f32 (.f32 3 u) (log.f32 27/64)))
(fma.f32 3/2 (*.f32 u u) (fma.f32 3 u (log.f32 27/64)))
(fma.f32 (*.f32 u u) 3/2 (fma.f32 u 3 (log.f32 27/64)))
(fma.f32 u 3 (fma.f32 u (*.f32 u 3/2) (log.f32 27/64)))
(fma.f32 u (fma.f32 u 3/2 3) (log.f32 27/64))
(+.f32 (pow.f32 u 3) (+.f32 (.f32 3/2 (pow.f32 u 2)) (+.f32 (.f32 3 u) (log.f32 27/64))))
(+.f32 (pow.f32 u 3) (fma.f32 3/2 (*.f32 u u) (fma.f32 3 u (log.f32 27/64))))
(+.f32 (fma.f32 u 3 (log.f32 27/64)) (.f32 (.f32 u u) (+.f32 u 3/2)))
(fma.f32 (*.f32 u u) (+.f32 u 3/2) (fma.f32 u 3 (log.f32 27/64)))
(+.f32 (pow.f32 u 3) (fma.f32 u (fma.f32 u 3/2 3) (log.f32 27/64)))
(+.f32 (log.f32 -27/64) (*.f32 3 (log.f32 (/.f32 1 u))))
(+.f32 (log.f32 -27/64) (*.f32 3 (neg.f32 (log.f32 u))))
(fma.f32 3 (neg.f32 (log.f32 u)) (log.f32 -27/64))
(-.f32 (log.f32 -27/64) (*.f32 3 (log.f32 u)))
(fma.f32 (log.f32 u) -3 (log.f32 -27/64))
(+.f32 (.f32 3 (/.f32 1 u)) (+.f32 (log.f32 -27/64) (.f32 3 (log.f32 (/.f32 1 u)))))
(+.f32 (+.f32 (log.f32 -27/64) (*.f32 3 (neg.f32 (log.f32 u)))) (/.f32 3 u))
(+.f32 (fma.f32 3 (neg.f32 (log.f32 u)) (log.f32 -27/64)) (/.f32 3 u))
(+.f32 (-.f32 (log.f32 -27/64) (*.f32 3 (log.f32 u))) (/.f32 3 u))
(+.f32 (fma.f32 (log.f32 u) -3 (log.f32 -27/64)) (/.f32 3 u))
(+.f32 (.f32 3/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 3 (/.f32 1 u)) (+.f32 (log.f32 -27/64) (*.f32 3 (log.f32 (/.f32 1 u))))))
(+.f32 (+.f32 (+.f32 (log.f32 -27/64) (.f32 3 (neg.f32 (log.f32 u)))) (/.f32 3 u)) (/.f32 3/2 (.f32 u u)))
(+.f32 (/.f32 3 u) (+.f32 (fma.f32 3 (neg.f32 (log.f32 u)) (log.f32 -27/64)) (/.f32 3/2 (*.f32 u u))))
(+.f32 (/.f32 3 u) (+.f32 (log.f32 -27/64) (fma.f32 3 (neg.f32 (log.f32 u)) (/.f32 3/2 (*.f32 u u)))))
(+.f32 (/.f32 3 u) (+.f32 (log.f32 -27/64) (fma.f32 (log.f32 u) -3 (/.f32 3/2 (*.f32 u u)))))
(+.f32 (/.f32 1 (pow.f32 u 3)) (+.f32 (.f32 3/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 3 (/.f32 1 u)) (+.f32 (log.f32 -27/64) (*.f32 3 (log.f32 (/.f32 1 u)))))))
(+.f32 (/.f32 1 (pow.f32 u 3)) (+.f32 (+.f32 (+.f32 (log.f32 -27/64) (.f32 3 (neg.f32 (log.f32 u)))) (/.f32 3 u)) (/.f32 3/2 (.f32 u u))))
(+.f32 (+.f32 (fma.f32 3 (neg.f32 (log.f32 u)) (log.f32 -27/64)) (/.f32 3 u)) (+.f32 (/.f32 1 (pow.f32 u 3)) (/.f32 3/2 (*.f32 u u))))
(+.f32 (/.f32 1 (pow.f32 u 3)) (+.f32 (/.f32 3 u) (+.f32 (log.f32 -27/64) (fma.f32 3 (neg.f32 (log.f32 u)) (/.f32 3/2 (*.f32 u u))))))
(+.f32 (/.f32 1 (pow.f32 u 3)) (+.f32 (/.f32 3 u) (+.f32 (log.f32 -27/64) (fma.f32 (log.f32 u) -3 (/.f32 3/2 (*.f32 u u))))))
(+.f32 (log.f32 27/64) (*.f32 3 (log.f32 (/.f32 -1 u))))
(fma.f32 3 (log.f32 (/.f32 -1 u)) (log.f32 27/64))
(+.f32 (.f32 3 (/.f32 1 u)) (+.f32 (log.f32 27/64) (.f32 3 (log.f32 (/.f32 -1 u)))))
(+.f32 (/.f32 3 u) (+.f32 (log.f32 27/64) (*.f32 3 (log.f32 (/.f32 -1 u)))))
(+.f32 (/.f32 3 u) (fma.f32 3 (log.f32 (/.f32 -1 u)) (log.f32 27/64)))
(+.f32 (log.f32 27/64) (fma.f32 3 (log.f32 (/.f32 -1 u)) (/.f32 3 u)))
(+.f32 (.f32 3/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 3 (/.f32 1 u)) (+.f32 (log.f32 27/64) (*.f32 3 (log.f32 (/.f32 -1 u))))))
(+.f32 (/.f32 3/2 (.f32 u u)) (+.f32 (/.f32 3 u) (+.f32 (log.f32 27/64) (.f32 3 (log.f32 (/.f32 -1 u))))))
(+.f32 (+.f32 (/.f32 3/2 (*.f32 u u)) (fma.f32 3 (log.f32 (/.f32 -1 u)) (log.f32 27/64))) (/.f32 3 u))
(+.f32 (/.f32 3 u) (+.f32 (/.f32 3/2 (*.f32 u u)) (fma.f32 3 (log.f32 (/.f32 -1 u)) (log.f32 27/64))))
(fma.f32 3 (log.f32 (/.f32 -1 u)) (+.f32 (log.f32 27/64) (+.f32 (/.f32 3 u) (/.f32 3/2 (*.f32 u u)))))
(+.f32 (/.f32 1 (pow.f32 u 3)) (+.f32 (.f32 3/2 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 3 (/.f32 1 u)) (+.f32 (log.f32 27/64) (*.f32 3 (log.f32 (/.f32 -1 u)))))))
(+.f32 (/.f32 1 (pow.f32 u 3)) (+.f32 (/.f32 3/2 (.f32 u u)) (+.f32 (/.f32 3 u) (+.f32 (log.f32 27/64) (.f32 3 (log.f32 (/.f32 -1 u)))))))
(+.f32 (/.f32 1 (pow.f32 u 3)) (+.f32 (+.f32 (/.f32 3/2 (*.f32 u u)) (fma.f32 3 (log.f32 (/.f32 -1 u)) (log.f32 27/64))) (/.f32 3 u)))
(+.f32 (/.f32 1 (pow.f32 u 3)) (+.f32 (/.f32 3 u) (+.f32 (/.f32 3/2 (*.f32 u u)) (fma.f32 3 (log.f32 (/.f32 -1 u)) (log.f32 27/64)))))
(+.f32 (/.f32 1 (pow.f32 u 3)) (fma.f32 3 (log.f32 (/.f32 -1 u)) (+.f32 (log.f32 27/64) (+.f32 (/.f32 3 u) (/.f32 3/2 (*.f32 u u))))))

eval339.0ms (3.1%)

Compiler: Compiled 13388 to 10462 computations (21.9% saved)

prune225.0ms (2.1%)

Pruning

51 alts after pruning (41 fresh and 10 done)

	Pruned	Kept	Total
New	721	17	738
Fresh	8	24	32
Picked	1	0	1
Done	1	10	11
Total	731	51	782

Error

0.0b

Counts

782 → 51

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.2b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	21.8b	(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 3/2 (.f32 u u))))
	1.0b	(*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))
▶	29.6b	(*.f32 s (log.f32 27/64))
	0.9b	(.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))
	21.8b	(neg.f32 (.f32 3 (.f32 s (+.f32 (log.f32 4/3) (.f32 u (+.f32 (.f32 -1/2 u) -1))))))
	1.2b	(.f32 s (log.f32 (pow.f32 (+.f32 (.f32 -4/3 u) 4/3) -3)))
	1.0b	(.f32 (.f32 3 s) (neg.f32 (log.f32 (fma.f32 (+.f32 u -1/4) -4/3 1))))
	1.1b	(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
	1.2b	(.f32 s (.f32 (log1p.f32 (/.f32 (-.f32 (.f32 16/9 (.f32 u u)) 1/9) (-.f32 (*.f32 u -4/3) 1/3))) -3))
	22.0b	(.f32 s (+.f32 (.f32 u 3) (.f32 u (.f32 u (+.f32 u 3/2)))))
▶	1.1b	(.f32 (.f32 3 s) (neg.f32 (log.f32 (neg.f32 (neg.f32 (+.f32 4/3 (*.f32 u -4/3)))))))
✓	0.8b	(.f32 (.f32 3 s) (exp.f32 (log.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))))
▶	0.9b	(.f32 s (-.f32 (+.f32 1 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3)) 1))
✓	20.4b	(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (.f32 u (+.f32 u 3/2)))))
	28.8b	(-.f32 (+.f32 1 (.f32 s (.f32 (log.f32 3/4) 3))) 1)
	1.1b	(.f32 s (.f32 (log1p.f32 (/.f32 (fma.f32 (.f32 u (.f32 u -4/3)) -4/3 -1/9) (-.f32 (*.f32 u -4/3) 1/3))) -3))
	1.1b	(.f32 s (.f32 (log1p.f32 (/.f32 (fma.f32 (.f32 u u) 16/9 -1/9) (-.f32 (.f32 u -4/3) 1/3))) -3))
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 4/3 (*.f32 u 4/3)))))
	1.1b	(.f32 (.f32 3 s) (.f32 1/3 (log.f32 (pow.f32 (+.f32 4/3 (.f32 u -4/3)) -3))))
✓	20.4b	(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 (.f32 u u) (+.f32 u 3/2))))
	1.0b	(neg.f32 (.f32 3 (.f32 s (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3)))))
▶	21.8b	(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (.f32 u 3/2))))
	11.7b	(.f32 s (.f32 (expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 u -4/3 1/3)))) -3))
	0.9b	(neg.f32 (.f32 3 (.f32 s (log.f32 (fma.f32 -4/3 u 4/3)))))
	20.4b	(.f32 s (+.f32 (+.f32 (.f32 (log.f32 3/4) 3) (.f32 u 3)) (.f32 u (*.f32 u (+.f32 u 3/2)))))
	0.9b	(.f32 s (.f32 (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3)) -3))
	21.8b	(.f32 s (+.f32 (.f32 (log.f32 3/4) 3) (.f32 u (+.f32 3 (.f32 u 3/2)))))
	1.0b	(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3))))
✓	0.7b	(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))
✓	0.7b	(.f32 s (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3))
	23.7b	(.f32 s (.f32 3 (+.f32 u (log.f32 3/4))))
	23.7b	(.f32 (+.f32 (log.f32 3/4) u) (.f32 3 s))
	0.9b	(.f32 (.f32 3 s) (pow.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3)))) 2))
	23.7b	(.f32 s (+.f32 (.f32 3 u) (log.f32 27/64)))
✓	29.6b	(.f32 (.f32 3 s) (log.f32 3/4))
	23.7b	(+.f32 (.f32 3 (.f32 s (log.f32 3/4))) (.f32 3 (.f32 s u)))
▶	0.7b	(.f32 s (expm1.f32 (log1p.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3))))
	1.0b	(.f32 -3 (.f32 s (log.f32 (+.f32 1 (*.f32 -4/3 (-.f32 u 1/4))))))
	0.7b	(.f32 (.f32 3 s) (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))) 3) 1/3))
	22.0b	(.f32 s (+.f32 (.f32 u 3) (.f32 (.f32 u u) (+.f32 u 3/2))))
✓	1.5b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (+.f32 (-.f32 1 (*.f32 u 4/3)) 1/3))))
✓	29.6b	(.f32 3 (.f32 s (log.f32 3/4)))
	1.6b	(.f32 s (log.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 (.f32 u -4/3) 4/3)) 2) -3) (pow.f32 (cbrt.f32 (+.f32 (.f32 u -4/3) 4/3)) -3))))
	0.9b	(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 s -3))
	1.2b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (+.f32 (*.f32 (+.f32 u -1/4) -4/3) 1))))
	0.9b	(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 u u -1/16) -4/3) (+.f32 u 1/4)))))
✓	1.3b	(.f32 s (.f32 (log1p.f32 (/.f32 (-.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) 1/9) (-.f32 (.f32 u -4/3) 1/3))) -3))
	20.4b	(neg.f32 (.f32 3 (.f32 s (+.f32 (-.f32 (log.f32 4/3) u) (.f32 (.f32 u u) (+.f32 -1/2 (*.f32 -1/3 u)))))))
	1.2b	(.f32 3 (.f32 s (log.f32 (/.f32 1 (-.f32 1 (*.f32 4/3 (-.f32 u 1/4)))))))
	1.3b	(neg.f32 (.f32 3 (.f32 s (log1p.f32 (/.f32 (-.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) 1/9) (-.f32 (.f32 u -4/3) 1/3))))))

Compiler

Compiled 1363 to 1117 computations (18% saved)

localize62.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3)
	0.3b	(fma.f32 u -4/3 1/3)
✓	0.4b	(expm1.f32 (log1p.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3)))
	0.4b	(log1p.f32 (fma.f32 u -4/3 1/3))

Compiler

Compiled 51 to 42 computations (17.6% saved)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

Time

Variable

Point

Expression

0.0ms

(expm1.f32 (log1p.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3)))

0.0ms

inf

(expm1.f32 (log1p.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3)))

0.0ms

-inf

(expm1.f32 (log1p.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3)))

rewrite72.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

757×	`pow1_binary32`
705×	`add-log-exp_binary32`
705×	`expm1-log1p-u_binary32`
703×	`log1p-expm1-u_binary32`
693×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	180	10
2	1896	10

Stop Event

1×	node limit

Counts

1 → 24

Calls

Call 1

Inputs
(expm1.f32 (log1p.f32 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3)))

Outputs

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

simplify69.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

550×	`sub-neg_binary32`
536×	`unswap-sqr_binary32`
503×	`fma-def_binary32`
284×	`associate-l_binary32`
283×	`associate-+l+_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	264
1	112	233
2	297	230
3	793	226
4	2292	226
5	5248	226

Stop Event

1×	node limit

Counts

36 → 47

Calls

Call 1

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

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

localize33.0ms (0.3%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.1b	(*.f32 s (log.f32 27/64))

Compiler

Compiled 10 to 8 computations (20% saved)

series32.0ms (0.3%)

Counts

1 → 0

Calls

3 calls:

Time	Variable		Point	Expression
30.0ms	s	@	0	(*.f32 s (log.f32 27/64))
1.0ms	s	@	inf	(*.f32 s (log.f32 27/64))
1.0ms	s	@	-inf	(*.f32 s (log.f32 27/64))

rewrite60.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

417×	`pow1_binary32`
405×	`add-sqr-sqrt_binary32`
395×	`*-un-lft-identity_binary32`
388×	`add-log-exp_binary32`
388×	`log1p-expm1-u_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5	6
1	97	6
2	1066	6

Stop Event

1×	node limit

Counts

1 → 15

Calls

Call 1

Inputs
(*.f32 s (log.f32 27/64))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 s (log.f32 27/64)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 27/64 s)) 2)) (log.f32 (cbrt.f32 (pow.f32 27/64 s))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 27/64 s))) (log.f32 (sqrt.f32 (pow.f32 27/64 s))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 s (log.f32 27/64))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 s (log.f32 27/64)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 s (log.f32 27/64)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 s (log.f32 27/64)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 s (log.f32 27/64))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 s (log.f32 27/64))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 s (log.f32 27/64)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 27/64 s))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 s (log.f32 27/64)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 s (log.f32 27/64))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (pow.f32 27/64 s) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 s (log.f32 27/64))))))))

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

15 → 15

Calls

Call 1

Inputs

Outputs

localize68.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 u (.f32 u 3/2))
✓	0.3b	(+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (*.f32 u 3/2)))
	0.4b	(*.f32 (+.f32 (log.f32 3/4) u) 3)
	1.1b	(+.f32 (log.f32 3/4) u)

Compiler

Compiled 53 to 39 computations (26.4% saved)

series3.0ms (0%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	u	@	-inf	(+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (*.f32 u 3/2)))
0.0ms	u	@	inf	(.f32 u (.f32 u 3/2))
0.0ms	u	@	0	(+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (*.f32 u 3/2)))
0.0ms	u	@	0	(.f32 u (.f32 u 3/2))
0.0ms	u	@	inf	(+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (*.f32 u 3/2)))

rewrite73.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

547×	`log-prod_binary32`
469×	`fma-def_binary32`
364×	`pow-prod-down_binary32`
302×	`pow2_binary32`
224×	`fma-neg_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	23
1	241	23
2	3210	23

Stop Event

1×	node limit

Counts

2 → 89

Calls

Call 1

Inputs
(+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (*.f32 u 3/2)))
(.f32 u (.f32 u 3/2))

Outputs

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

simplify161.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

778×	`sqr-pow_binary32`
540×	`cube-prod_binary32`
538×	`fma-def_binary32`
531×	`associate-l_binary32`
479×	`fabs-mul_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	14	231
1	32	231
2	61	229
3	111	213
4	226	213
5	564	213
6	1840	213
7	3192	213
8	3404	213
9	3617	213
10	3837	213
11	4153	213
12	4559	213
13	5068	213
14	5637	213
15	6319	213
16	7156	213
17	7550	213
18	7838	213

Stop Event

1×	node limit

Counts

113 → 98

Calls

Call 1

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

Outputs
(*.f32 3 (log.f32 3/4))
(+.f32 (.f32 3 (log.f32 3/4)) (.f32 3 u))
(*.f32 3 (+.f32 (log.f32 3/4) u))
(+.f32 (.f32 3/2 (pow.f32 u 2)) (+.f32 (.f32 3 (log.f32 3/4)) (*.f32 3 u)))
(fma.f32 3/2 (.f32 u u) (.f32 3 (+.f32 (log.f32 3/4) u)))
(fma.f32 3 (+.f32 (log.f32 3/4) u) (.f32 u (.f32 u 3/2)))
(fma.f32 3 (log.f32 3/4) (*.f32 u (fma.f32 u 3/2 3)))
(fma.f32 u (fma.f32 u 3/2 3) (*.f32 3 (log.f32 3/4)))
(+.f32 (.f32 3/2 (pow.f32 u 2)) (+.f32 (.f32 3 (log.f32 3/4)) (*.f32 3 u)))
(fma.f32 3/2 (.f32 u u) (.f32 3 (+.f32 (log.f32 3/4) u)))
(fma.f32 3 (+.f32 (log.f32 3/4) u) (.f32 u (.f32 u 3/2)))
(fma.f32 3 (log.f32 3/4) (*.f32 u (fma.f32 u 3/2 3)))
(fma.f32 u (fma.f32 u 3/2 3) (*.f32 3 (log.f32 3/4)))
(*.f32 3/2 (pow.f32 u 2))
(.f32 3/2 (.f32 u u))
(.f32 u (.f32 u 3/2))
(+.f32 (.f32 3/2 (pow.f32 u 2)) (.f32 3 u))
(fma.f32 3/2 (.f32 u u) (.f32 3 u))
(fma.f32 3 u (.f32 u (.f32 u 3/2)))
(.f32 u (+.f32 3 (.f32 u 3/2)))
(*.f32 u (fma.f32 u 3/2 3))
(+.f32 (.f32 3/2 (pow.f32 u 2)) (+.f32 (.f32 3 (log.f32 3/4)) (*.f32 3 u)))
(fma.f32 3/2 (.f32 u u) (.f32 3 (+.f32 (log.f32 3/4) u)))
(fma.f32 3 (+.f32 (log.f32 3/4) u) (.f32 u (.f32 u 3/2)))
(fma.f32 3 (log.f32 3/4) (*.f32 u (fma.f32 u 3/2 3)))
(fma.f32 u (fma.f32 u 3/2 3) (*.f32 3 (log.f32 3/4)))
(+.f32 (.f32 3/2 (pow.f32 u 2)) (+.f32 (.f32 3 (log.f32 3/4)) (*.f32 3 u)))
(fma.f32 3/2 (.f32 u u) (.f32 3 (+.f32 (log.f32 3/4) u)))
(fma.f32 3 (+.f32 (log.f32 3/4) u) (.f32 u (.f32 u 3/2)))
(fma.f32 3 (log.f32 3/4) (*.f32 u (fma.f32 u 3/2 3)))
(fma.f32 u (fma.f32 u 3/2 3) (*.f32 3 (log.f32 3/4)))
(*.f32 3/2 (pow.f32 u 2))
(.f32 3/2 (.f32 u u))
(.f32 u (.f32 u 3/2))
(+.f32 (.f32 3/2 (pow.f32 u 2)) (.f32 3 u))
(fma.f32 3/2 (.f32 u u) (.f32 3 u))
(fma.f32 3 u (.f32 u (.f32 u 3/2)))
(.f32 u (+.f32 3 (.f32 u 3/2)))
(*.f32 u (fma.f32 u 3/2 3))
(+.f32 (.f32 3/2 (pow.f32 u 2)) (+.f32 (.f32 3 (log.f32 3/4)) (*.f32 3 u)))
(fma.f32 3/2 (.f32 u u) (.f32 3 (+.f32 (log.f32 3/4) u)))
(fma.f32 3 (+.f32 (log.f32 3/4) u) (.f32 u (.f32 u 3/2)))
(fma.f32 3 (log.f32 3/4) (*.f32 u (fma.f32 u 3/2 3)))
(fma.f32 u (fma.f32 u 3/2 3) (*.f32 3 (log.f32 3/4)))
(+.f32 (.f32 3/2 (pow.f32 u 2)) (+.f32 (.f32 3 (log.f32 3/4)) (*.f32 3 u)))
(fma.f32 3/2 (.f32 u u) (.f32 3 (+.f32 (log.f32 3/4) u)))
(fma.f32 3 (+.f32 (log.f32 3/4) u) (.f32 u (.f32 u 3/2)))
(fma.f32 3 (log.f32 3/4) (*.f32 u (fma.f32 u 3/2 3)))
(fma.f32 u (fma.f32 u 3/2 3) (*.f32 3 (log.f32 3/4)))
(*.f32 3/2 (pow.f32 u 2))
(.f32 3/2 (.f32 u u))
(.f32 u (.f32 u 3/2))
(*.f32 3/2 (pow.f32 u 2))
(.f32 3/2 (.f32 u u))
(.f32 u (.f32 u 3/2))
(*.f32 3/2 (pow.f32 u 2))
(.f32 3/2 (.f32 u u))
(.f32 u (.f32 u 3/2))
(*.f32 3/2 (pow.f32 u 2))
(.f32 3/2 (.f32 u u))
(.f32 u (.f32 u 3/2))
(*.f32 3/2 (pow.f32 u 2))
(.f32 3/2 (.f32 u u))
(.f32 u (.f32 u 3/2))
(*.f32 3/2 (pow.f32 u 2))
(.f32 3/2 (.f32 u u))
(.f32 u (.f32 u 3/2))
(*.f32 3/2 (pow.f32 u 2))
(.f32 3/2 (.f32 u u))
(.f32 u (.f32 u 3/2))
(*.f32 3/2 (pow.f32 u 2))
(.f32 3/2 (.f32 u u))
(.f32 u (.f32 u 3/2))
(*.f32 3/2 (pow.f32 u 2))
(.f32 3/2 (.f32 u u))
(.f32 u (.f32 u 3/2))
(*.f32 3/2 (pow.f32 u 2))
(.f32 3/2 (.f32 u u))
(.f32 u (.f32 u 3/2))
(*.f32 3/2 (pow.f32 u 2))
(.f32 3/2 (.f32 u u))
(.f32 u (.f32 u 3/2))
(*.f32 3/2 (pow.f32 u 2))
(.f32 3/2 (.f32 u u))
(.f32 u (.f32 u 3/2))

localize70.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (.f32 3 s) (neg.f32 (log.f32 (neg.f32 (neg.f32 (+.f32 4/3 (*.f32 u -4/3)))))))
✓	0.3b	(*.f32 u -4/3)
✓	0.6b	(log.f32 (neg.f32 (neg.f32 (+.f32 4/3 (*.f32 u -4/3)))))
✓	1.0b	(+.f32 4/3 (*.f32 u -4/3))

Compiler

Compiled 61 to 50 computations (18% saved)

series28.0ms (0.3%)

Counts

4 → 60

Calls

15 calls:

Time	Variable		Point	Expression
23.0ms	s	@	0	(.f32 (.f32 3 s) (neg.f32 (log.f32 (neg.f32 (neg.f32 (+.f32 4/3 (*.f32 u -4/3)))))))
1.0ms	s	@	inf	(.f32 (.f32 3 s) (neg.f32 (log.f32 (neg.f32 (neg.f32 (+.f32 4/3 (*.f32 u -4/3)))))))
0.0ms	s	@	-inf	(.f32 (.f32 3 s) (neg.f32 (log.f32 (neg.f32 (neg.f32 (+.f32 4/3 (*.f32 u -4/3)))))))
0.0ms	u	@	-inf	(.f32 (.f32 3 s) (neg.f32 (log.f32 (neg.f32 (neg.f32 (+.f32 4/3 (*.f32 u -4/3)))))))
0.0ms	u	@	inf	(.f32 (.f32 3 s) (neg.f32 (log.f32 (neg.f32 (neg.f32 (+.f32 4/3 (*.f32 u -4/3)))))))

rewrite274.0ms (2.5%)

Algorithm

1×	egg-rewrite-iter-limit
4×	egg-rewrite
1×	batch-egg-rewrite

Rules

766×	`pow1_binary32`
718×	`add-log-exp_binary32`
717×	`log1p-expm1-u_binary32`
717×	`expm1-log1p-u_binary32`
708×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	28
1	304	28
2	3554	28
0	6	7
1	131	5
2	1584	5
0	9	9
1	197	7
2	2219	7
0	4	4
1	80	4
2	875	4
0	14	17
1	304	17
2	3554	17
0	14	17

Stop Event

1×	iter limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit
1×	node limit

Counts

4 → 85

Calls

Call 1

Inputs
(+.f32 4/3 (*.f32 u -4/3))
(log.f32 (neg.f32 (neg.f32 (+.f32 4/3 (*.f32 u -4/3)))))
(*.f32 u -4/3)
(.f32 (.f32 3 s) (neg.f32 (log.f32 (neg.f32 (neg.f32 (+.f32 4/3 (*.f32 u -4/3)))))))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (fma.f32 u -4/3 4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (/.f32 16/9 (+.f32 4/3 (.f32 4/3 u))) (/.f32 (.f32 (.f32 u u) 16/9) (+.f32 4/3 (.f32 4/3 u))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (fma.f32 u -4/3 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (fma.f32 u -4/3 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) (pow.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) 2) (cbrt.f32 (fma.f32 u -4/3 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (fma.f32 u -4/3 4/3)) (sqrt.f32 (fma.f32 u -4/3 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (+.f32 64/27 (pow.f32 (.f32 u -4/3) 3)) (/.f32 1 (+.f32 16/9 (-.f32 (.f32 (.f32 u u) 16/9) (.f32 -16/9 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 16/9 (.f32 (.f32 u u) 16/9)) (/.f32 1 (+.f32 4/3 (.f32 4/3 u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 16/9 (-.f32 (.f32 (.f32 u u) 16/9) (.f32 -16/9 u))) (+.f32 64/27 (pow.f32 (.f32 u -4/3) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 4/3 (.f32 4/3 u)) (-.f32 16/9 (.f32 (.f32 u u) 16/9))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 64/27 (pow.f32 (.f32 u -4/3) 3)) (+.f32 16/9 (-.f32 (.f32 (.f32 u u) 16/9) (.f32 -16/9 u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 64/27 (pow.f32 (.f32 u -4/3) 3)) (+.f32 (.f32 (.f32 u u) 16/9) (-.f32 16/9 (.f32 -16/9 u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 16/9 (.f32 (.f32 u u) 16/9)) (+.f32 4/3 (.f32 4/3 u)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 64/27 (pow.f32 (.f32 u -4/3) 3))) (neg.f32 (+.f32 16/9 (-.f32 (.f32 (.f32 u u) 16/9) (.f32 -16/9 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 16/9 (.f32 (.f32 u u) 16/9))) (neg.f32 (+.f32 4/3 (.f32 4/3 u))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (.f32 u u) 16/9) 16/9) (-.f32 (.f32 u -4/3) 4/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (fma.f32 u -4/3 4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (fma.f32 u -4/3 4/3) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (fma.f32 u -4/3 4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (fma.f32 u -4/3 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (fma.f32 u -4/3 4/3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (fma.f32 u -4/3 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (fma.f32 u -4/3 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (fma.f32 u -4/3 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u -4/3 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -4/3 u 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 u -4/3) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (.f32 u -4/3)) 2) (cbrt.f32 (.f32 u -4/3)) 4/3)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 u -4/3)) (sqrt.f32 (*.f32 u -4/3)) 4/3)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (log.f32 (fma.f32 u -4/3 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 -1) (log.f32 (fma.f32 u -4/3 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (fma.f32 u -4/3 4/3)) 2)) (log.f32 (cbrt.f32 (fma.f32 u -4/3 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3))) (log.f32 (sqrt.f32 (fma.f32 u -4/3 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (log.f32 (fma.f32 u -4/3 4/3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (-.f32 16/9 (.f32 16/9 (.f32 u u)))) (log.f32 (+.f32 4/3 (.f32 4/3 u))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (log.f32 (+.f32 64/27 (pow.f32 (.f32 u -4/3) 3))) (log.f32 (+.f32 16/9 (-.f32 (.f32 16/9 (.f32 u u)) (.f32 -16/9 u)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (log.f32 (fma.f32 u -4/3 4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (log.f32 (fma.f32 u -4/3 4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3))) (pow.f32 (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3))) 2) (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (log.f32 (fma.f32 u -4/3 4/3))) (sqrt.f32 (log.f32 (fma.f32 u -4/3 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (log.f32 (fma.f32 u -4/3 4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (log.f32 (fma.f32 u -4/3 4/3)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (log.f32 (fma.f32 u -4/3 4/3))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (log.f32 (fma.f32 u -4/3 4/3))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (log.f32 (fma.f32 u -4/3 4/3)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (log.f32 (fma.f32 u -4/3 4/3)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (log.f32 (fma.f32 u -4/3 4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (-.f32 (fma.f32 u -4/3 4/3) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (log.f32 (fma.f32 u -4/3 4/3))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (+.f32 1 (.f32 u -4/3)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 -4/3) u))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 -4/3) u))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (cbrt.f32 (pow.f32 (exp.f32 -8/3) u))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 -4/3) u))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (.f32 u -4/3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (pow.f32 (+.f32 1 (.f32 u -4/3)) 3) 1) (+.f32 (.f32 (+.f32 1 (.f32 u -4/3)) (+.f32 1 (.f32 u -4/3))) (+.f32 1 (.f32 (+.f32 1 (.f32 u -4/3)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 (.f32 (+.f32 1 (.f32 u -4/3)) (+.f32 1 (.f32 u -4/3))) 1) (+.f32 (+.f32 1 (.f32 u -4/3)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u -4/3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u -4/3) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 -64/27 (pow.f32 u 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u -4/3)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u -4/3)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (.f32 u -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 u -4/3)))) (sqrt.f32 (log.f32 (.f32 u -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 u -4/3))) 2)) (cbrt.f32 (log.f32 (.f32 u -4/3))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (.f32 u -4/3) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (.f32 u -4/3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 -4/3) u))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 -64/27 (pow.f32 u 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u -4/3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (.f32 u -4/3))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 u -4/3))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 u -4/3))) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 3 (.f32 s (neg.f32 (log.f32 (+.f32 4/3 (.f32 u -4/3)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (.f32 (.f32 3 s) (log.f32 (+.f32 4/3 (.f32 u -4/3)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (.f32 3 (.f32 s (neg.f32 (log.f32 (+.f32 4/3 (.f32 u -4/3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (.f32 (.f32 3 (.f32 s (neg.f32 (log.f32 (+.f32 4/3 (.f32 u -4/3)))))) (.f32 3 (.f32 s (neg.f32 (log.f32 (+.f32 4/3 (.f32 u -4/3))))))) (.f32 3 (.f32 s (neg.f32 (log.f32 (+.f32 4/3 (.f32 u -4/3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 3 (.f32 s (neg.f32 (log.f32 (+.f32 4/3 (.f32 u -4/3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 3 (.f32 s (neg.f32 (log.f32 (+.f32 4/3 (.f32 u -4/3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 3 (.f32 s (neg.f32 (log.f32 (+.f32 4/3 (*.f32 u -4/3))))))))))))

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

380×	`associate-+r+_binary32`
361×	`fma-def_binary32`
358×	`associate-+l-_binary32`
337×	`times-frac_binary32`
304×	`unsub-neg_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	84	812
1	242	778
2	701	755
3	2303	744
4	6592	744

Stop Event

1×	node limit

Counts

145 → 138

Calls

Call 1

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

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

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3)
	0.3b	(fma.f32 u -4/3 1/3)
	0.4b	(log1p.f32 (fma.f32 u -4/3 1/3))
✓	0.5b	(-.f32 (+.f32 1 (*.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3)) 1)

Compiler

Compiled 57 to 48 computations (15.8% saved)

series2.0ms (0%)

Counts

1 → 12

Calls

3 calls:

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

rewrite64.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

554×	`unpow-prod-down_binary32`
431×	`prod-diff_binary32`
400×	`fma-def_binary32`
396×	`log-prod_binary32`
255×	`pow2_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	16
1	237	10
2	2922	10

Stop Event

1×	node limit

Counts

1 → 96

Calls

Call 1

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

Outputs

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

simplify54.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

550×	`sub-neg_binary32`
536×	`unswap-sqr_binary32`
503×	`fma-def_binary32`
284×	`associate-l_binary32`
283×	`associate-+l+_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	264
1	112	233
2	297	230
3	793	226
4	2292	226
5	5248	226

Stop Event

1×	node limit

Counts

108 → 119

Calls

Call 1

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

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

eval288.0ms (2.6%)

Compiler: Compiled 12643 to 10254 computations (18.9% saved)

prune155.0ms (1.4%)

Pruning

53 alts after pruning (41 fresh and 12 done)

	Pruned	Kept	Total
New	685	11	696
Fresh	6	30	36
Picked	1	0	1
Done	2	12	14
Total	694	53	747

Error

0.0b

Counts

747 → 53

Alt Table

Click to see full alt table

Status	Error	Program
✓	1.2b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
	21.8b	(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 3/2 (.f32 u u))))
	1.0b	(*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))
✓	29.6b	(*.f32 s (log.f32 27/64))
	0.9b	(.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))
	21.8b	(neg.f32 (.f32 3 (.f32 s (+.f32 (log.f32 4/3) (.f32 u (+.f32 (.f32 -1/2 u) -1))))))
	1.2b	(.f32 s (log.f32 (pow.f32 (+.f32 (.f32 -4/3 u) 4/3) -3)))
	22.1b	(.f32 s (.f32 u (fma.f32 u 3/2 3)))
	1.4b	(.f32 (.f32 3 s) (neg.f32 (log.f32 (neg.f32 (neg.f32 (-.f32 (/.f32 16/9 (+.f32 4/3 (.f32 4/3 u))) (/.f32 (.f32 (.f32 u u) 16/9) (+.f32 4/3 (.f32 4/3 u)))))))))
	1.3b	(.f32 (.f32 3 s) (neg.f32 (log.f32 (neg.f32 (neg.f32 (/.f32 (-.f32 (.f32 (.f32 u u) 16/9) 16/9) (-.f32 (*.f32 u -4/3) 4/3)))))))
	22.0b	(.f32 s (+.f32 (.f32 u 3) (.f32 u (.f32 u (+.f32 u 3/2)))))
	1.1b	(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
	1.2b	(.f32 s (.f32 (log1p.f32 (/.f32 (-.f32 (.f32 16/9 (.f32 u u)) 1/9) (-.f32 (*.f32 u -4/3) 1/3))) -3))
✓	0.8b	(.f32 (.f32 3 s) (exp.f32 (log.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))))
	23.6b	(.f32 s (.f32 u (*.f32 u 3/2)))
✓	20.4b	(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (.f32 u (+.f32 u 3/2)))))
	1.1b	(.f32 s (.f32 (log1p.f32 (/.f32 (fma.f32 (.f32 u (.f32 u -4/3)) -4/3 -1/9) (-.f32 (*.f32 u -4/3) 1/3))) -3))
	1.1b	(.f32 s (.f32 (log1p.f32 (/.f32 (fma.f32 (.f32 u u) 16/9 -1/9) (-.f32 (.f32 u -4/3) 1/3))) -3))
	0.6b	(.f32 s (.f32 (pow.f32 (cbrt.f32 -3) 3) (log1p.f32 (fma.f32 u -4/3 1/3))))
	1.1b	(neg.f32 (.f32 (.f32 3 s) (log.f32 (+.f32 4/3 (*.f32 u -4/3)))))
	1.3b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 4/3 (*.f32 u 4/3)))))
	1.1b	(.f32 (.f32 3 s) (.f32 1/3 (log.f32 (pow.f32 (+.f32 4/3 (.f32 u -4/3)) -3))))
✓	20.4b	(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 (.f32 u u) (+.f32 u 3/2))))
	1.0b	(neg.f32 (.f32 3 (.f32 s (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3)))))
	1.5b	(.f32 (.f32 3 s) (neg.f32 (log.f32 (neg.f32 (neg.f32 (/.f32 (+.f32 64/27 (pow.f32 (.f32 u -4/3) 3)) (+.f32 (.f32 (.f32 u u) 16/9) (-.f32 16/9 (.f32 -16/9 u)))))))))
✓	21.8b	(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (.f32 u 3/2))))
	20.4b	(.f32 s (+.f32 (+.f32 (.f32 (log.f32 3/4) 3) (.f32 u 3)) (.f32 u (*.f32 u (+.f32 u 3/2)))))
	23.7b	(.f32 s (.f32 3 (+.f32 (log.f32 3/4) u)))
	0.9b	(.f32 s (.f32 (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3)) -3))
	21.8b	(.f32 s (+.f32 (.f32 (log.f32 3/4) 3) (.f32 u (+.f32 3 (.f32 u 3/2)))))
	1.0b	(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3))))
✓	0.7b	(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))
✓	0.7b	(.f32 s (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3))
	0.9b	(.f32 (.f32 3 s) (pow.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3)))) 2))
	23.7b	(.f32 (+.f32 (log.f32 3/4) u) (.f32 3 s))
	23.7b	(.f32 s (+.f32 (.f32 3 u) (log.f32 27/64)))
✓	29.6b	(.f32 (.f32 3 s) (log.f32 3/4))
	23.7b	(+.f32 (.f32 3 (.f32 s (log.f32 3/4))) (.f32 3 (.f32 s u)))
	22.0b	(.f32 s (+.f32 (.f32 u 3) (.f32 (.f32 u u) (+.f32 u 3/2))))
✓	1.5b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (+.f32 (-.f32 1 (*.f32 u 4/3)) 1/3))))
✓	29.6b	(.f32 3 (.f32 s (log.f32 3/4)))
	1.6b	(.f32 s (log.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 (.f32 u -4/3) 4/3)) 2) -3) (pow.f32 (cbrt.f32 (+.f32 (.f32 u -4/3) 4/3)) -3))))
	0.9b	(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 s -3))
	22.1b	(.f32 s (+.f32 (.f32 u 3) (.f32 u (.f32 u 3/2))))
	1.2b	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (+.f32 (*.f32 (+.f32 u -1/4) -4/3) 1))))
	0.9b	(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 u u -1/16) -4/3) (+.f32 u 1/4)))))
	1.3b	(.f32 (.f32 3 s) (neg.f32 (-.f32 (log.f32 (-.f32 16/9 (.f32 16/9 (.f32 u u)))) (log.f32 (+.f32 4/3 (*.f32 4/3 u))))))
✓	1.3b	(.f32 s (.f32 (log1p.f32 (/.f32 (-.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) 1/9) (-.f32 (.f32 u -4/3) 1/3))) -3))
	1.0b	(.f32 s (-.f32 (+.f32 1 (.f32 (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3)) -3)) 1))
	20.4b	(neg.f32 (.f32 3 (.f32 s (+.f32 (-.f32 (log.f32 4/3) u) (.f32 (.f32 u u) (+.f32 -1/2 (*.f32 -1/3 u)))))))
	1.2b	(.f32 3 (.f32 s (log.f32 (/.f32 1 (-.f32 1 (*.f32 4/3 (-.f32 u 1/4)))))))
	1.3b	(neg.f32 (.f32 3 (.f32 s (log1p.f32 (/.f32 (-.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) 1/9) (-.f32 (.f32 u -4/3) 1/3))))))
	1.0b	(.f32 -3 (.f32 s (log.f32 (+.f32 1 (*.f32 -4/3 (-.f32 u 1/4))))))

Compiler

Compiled 821 to 666 computations (18.9% saved)

regimes712.0ms (6.6%)

Counts

77 → 1

Calls

Call 1

Inputs
(.f32 (.f32 3 s) (+.f32 (log.f32 (/.f32 1 (-.f32 1 (pow.f32 (fma.f32 u 4/3 -1/3) 3)))) (log1p.f32 (+.f32 (fma.f32 u 4/3 -1/3) (pow.f32 (fma.f32 u 4/3 -1/3) 2)))))
(.f32 s (.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (+.f32 (fma.f32 u -4/3 1/3) 1)) 2)) (log.f32 (cbrt.f32 (+.f32 (fma.f32 u -4/3 1/3) 1)))) -3))
(.f32 s (log.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (+.f32 (.f32 u -4/3) 4/3)) 2) -3) (pow.f32 (cbrt.f32 (+.f32 (.f32 u -4/3) 4/3)) -3))))
(.f32 s (.f32 (expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 u -4/3 1/3)))) -3))
(.f32 s (.f32 (expm1.f32 (log1p.f32 (log1p.f32 (fma.f32 u -4/3 1/3)))) -3))
(.f32 s (expm1.f32 (log1p.f32 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3))))
(.f32 (.f32 3 s) (pow.f32 (pow.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))) 3) 1/3))
(pow.f32 (sqrt.f32 (neg.f32 (.f32 (.f32 3 s) (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))) 2)
(pow.f32 (cbrt.f32 (neg.f32 (.f32 (.f32 3 s) (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))) 3)
(.f32 (.f32 3 s) (pow.f32 (sqrt.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3)))) 2))
(.f32 (.f32 3 s) (pow.f32 (cbrt.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3)))) 3))
(.f32 (.f32 3 s) (exp.f32 (log.f32 (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))))
(exp.f32 (log.f32 (neg.f32 (.f32 (.f32 3 s) (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))))
(.f32 s (.f32 (pow.f32 (cbrt.f32 -3) 3) (log1p.f32 (fma.f32 u -4/3 1/3))))
(*.f32 s (log.f32 (pow.f32 (+.f32 (fma.f32 u -4/3 1/3) 1) -3)))
(*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (neg.f32 (neg.f32 (/.f32 (+.f32 64/27 (pow.f32 (.f32 u -4/3) 3)) (+.f32 (.f32 (.f32 u u) 16/9) (-.f32 16/9 (.f32 -16/9 u)))))))))
(.f32 (.f32 3 s) (neg.f32 (-.f32 (log.f32 (-.f32 16/9 (.f32 16/9 (.f32 u u)))) (log.f32 (+.f32 4/3 (*.f32 4/3 u))))))
(.f32 s (.f32 (log1p.f32 (/.f32 (fma.f32 (.f32 u (.f32 u -4/3)) -4/3 -1/9) (-.f32 (*.f32 u -4/3) 1/3))) -3))
(.f32 s (.f32 (log1p.f32 (/.f32 (fma.f32 (.f32 u u) 16/9 -1/9) (-.f32 (.f32 u -4/3) 1/3))) -3))
(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 u u -1/16) -4/3) (+.f32 u 1/4)))))
(.f32 (.f32 3 s) (.f32 1/3 (log.f32 (pow.f32 (+.f32 4/3 (.f32 u -4/3)) -3))))
(.f32 s (-.f32 (+.f32 1 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3)) 1))
(.f32 (.f32 3 s) (log.f32 (/.f32 1 (fma.f32 (+.f32 u -1/4) -4/3 1))))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (fma.f32 (+.f32 u -1/4) -4/3 1))))
(.f32 s (log.f32 (pow.f32 (+.f32 (.f32 -4/3 u) 4/3) -3)))
(neg.f32 (.f32 3 (.f32 s (log.f32 (fma.f32 -4/3 u 4/3)))))
(neg.f32 (.f32 3 (.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 s -3))
(.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 s (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (neg.f32 (neg.f32 (-.f32 (/.f32 16/9 (+.f32 4/3 (.f32 4/3 u))) (/.f32 (.f32 (.f32 u u) 16/9) (+.f32 4/3 (.f32 4/3 u)))))))))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (neg.f32 (neg.f32 (/.f32 (-.f32 (.f32 (.f32 u u) 16/9) 16/9) (-.f32 (*.f32 u -4/3) 4/3)))))))
(neg.f32 (.f32 3 (.f32 s (log1p.f32 (/.f32 (-.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) 1/9) (-.f32 (.f32 u -4/3) 1/3))))))
(.f32 s (.f32 (log1p.f32 (/.f32 (-.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) 1/9) (-.f32 (.f32 u -4/3) 1/3))) -3))
(.f32 s (.f32 (log1p.f32 (/.f32 (-.f32 (.f32 16/9 (.f32 u u)) 1/9) (-.f32 (*.f32 u -4/3) 1/3))) -3))
(.f32 s (-.f32 (+.f32 1 (.f32 (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3)) -3)) 1))
(.f32 (.f32 3 s) (log.f32 (/.f32 1 (+.f32 (-.f32 1 (*.f32 u 4/3)) 1/3))))
(.f32 (.f32 3 s) (log.f32 (/.f32 1 (+.f32 (*.f32 (+.f32 u -1/4) -4/3) 1))))
(.f32 3 (.f32 s (log.f32 (/.f32 1 (-.f32 1 (*.f32 4/3 (-.f32 u 1/4)))))))
(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (neg.f32 (neg.f32 (+.f32 4/3 (*.f32 u -4/3)))))))
(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 4/3 (*.f32 u 4/3)))))
(.f32 -3 (.f32 s (log.f32 (+.f32 1 (*.f32 -4/3 (-.f32 u 1/4))))))
(.f32 (.f32 3 s) (log.f32 (/.f32 1 (+.f32 (*.f32 -4/3 u) 4/3))))
(neg.f32 (.f32 (.f32 3 s) (log.f32 (+.f32 4/3 (*.f32 u -4/3)))))
(neg.f32 (.f32 3 (.f32 s (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3)))))
(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3))))
(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))
(.f32 s (.f32 (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3)) -3))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 s (.f32 u (fma.f32 u 3/2 3)))
(neg.f32 (.f32 3 (.f32 s (+.f32 (-.f32 (log.f32 4/3) u) (.f32 (.f32 u u) (+.f32 -1/2 (*.f32 -1/3 u)))))))
(.f32 s (+.f32 (+.f32 (.f32 (log.f32 3/4) 3) (.f32 u 3)) (.f32 u (*.f32 u (+.f32 u 3/2)))))
(.f32 s (+.f32 (+.f32 (.f32 (log.f32 3/4) 3) (.f32 u 3)) (.f32 (*.f32 u u) (+.f32 u 3/2))))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (.f32 u (+.f32 u 3/2)))))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 (.f32 u u) (+.f32 u 3/2))))
(neg.f32 (.f32 3 (.f32 s (+.f32 (log.f32 4/3) (.f32 u (+.f32 (.f32 -1/2 u) -1))))))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 3/2 (.f32 u u))))
(.f32 s (+.f32 (.f32 u 3) (.f32 u (.f32 u (+.f32 u 3/2)))))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (.f32 u 3/2))))
(.f32 s (+.f32 (.f32 u 3) (.f32 (.f32 u u) (+.f32 u 3/2))))
(.f32 s (+.f32 (.f32 (log.f32 3/4) 3) (.f32 u (+.f32 3 (.f32 u 3/2)))))
(.f32 s (+.f32 (.f32 u 3) (.f32 u (.f32 u 3/2))))
(+.f32 (.f32 3 (.f32 s (log.f32 3/4))) (.f32 3 (.f32 s u)))
(-.f32 (+.f32 1 (.f32 s (.f32 (log.f32 3/4) 3))) 1)
(.f32 s (+.f32 (.f32 (log.f32 4/3) -3) (*.f32 u 3)))
(.f32 s (+.f32 (.f32 3 u) (*.f32 -3 (log.f32 4/3))))
(.f32 s (.f32 u (*.f32 u 3/2)))
(.f32 s (.f32 3 (+.f32 (log.f32 3/4) u)))
(.f32 s (.f32 3 (+.f32 u (log.f32 3/4))))
(.f32 s (+.f32 (.f32 3 u) (log.f32 27/64)))
(.f32 (+.f32 (log.f32 3/4) u) (.f32 3 s))
(.f32 s (.f32 (-.f32 (log.f32 4/3) u) -3))
(.f32 (.f32 3 s) (log.f32 3/4))
(.f32 3 (.f32 s (log.f32 3/4)))
(*.f32 s (log.f32 27/64))

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

Calls

15 calls:

47.0ms	(log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4))))
46.0ms	(-.f32 u 1/4)
46.0ms	(-.f32 u 1/4)
46.0ms	(/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))
46.0ms	(log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4))))

Results

Error	Segments	Branch
0.6b	1	`s`
0.6b	1	`u`
0.6b	1	`(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))`
0.6b	1	`(*.f32 3 s)`
0.6b	1	`(*.f32 3 s)`
0.6b	1	`(log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4))))`
0.6b	1	`(log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4))))`
0.6b	1	`(/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))`
0.6b	1	`(/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))`
0.6b	1	`(-.f32 1 (/.f32 (-.f32 u 1/4) 3/4))`
0.6b	1	`(-.f32 1 (/.f32 (-.f32 u 1/4) 3/4))`
0.6b	1	`(/.f32 (-.f32 u 1/4) 3/4)`
0.6b	1	`(/.f32 (-.f32 u 1/4) 3/4)`
0.6b	1	`(-.f32 u 1/4)`
0.6b	1	`(-.f32 u 1/4)`

Compiler

Compiled 1149 to 915 computations (20.4% saved)

regimes479.0ms (4.4%)

Counts

62 → 1

Calls

Call 1

Inputs
(*.f32 s (log.f32 (pow.f32 (fma.f32 u -4/3 4/3) -3)))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (neg.f32 (neg.f32 (/.f32 (+.f32 64/27 (pow.f32 (.f32 u -4/3) 3)) (+.f32 (.f32 (.f32 u u) 16/9) (-.f32 16/9 (.f32 -16/9 u)))))))))
(.f32 (.f32 3 s) (neg.f32 (-.f32 (log.f32 (-.f32 16/9 (.f32 16/9 (.f32 u u)))) (log.f32 (+.f32 4/3 (*.f32 4/3 u))))))
(.f32 s (.f32 (log1p.f32 (/.f32 (fma.f32 (.f32 u (.f32 u -4/3)) -4/3 -1/9) (-.f32 (*.f32 u -4/3) 1/3))) -3))
(.f32 s (.f32 (log1p.f32 (/.f32 (fma.f32 (.f32 u u) 16/9 -1/9) (-.f32 (.f32 u -4/3) 1/3))) -3))
(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (/.f32 (*.f32 (fma.f32 u u -1/16) -4/3) (+.f32 u 1/4)))))
(.f32 (.f32 3 s) (.f32 1/3 (log.f32 (pow.f32 (+.f32 4/3 (.f32 u -4/3)) -3))))
(.f32 s (-.f32 (+.f32 1 (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3)) 1))
(.f32 (.f32 3 s) (log.f32 (/.f32 1 (fma.f32 (+.f32 u -1/4) -4/3 1))))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (fma.f32 (+.f32 u -1/4) -4/3 1))))
(.f32 s (log.f32 (pow.f32 (+.f32 (.f32 -4/3 u) 4/3) -3)))
(neg.f32 (.f32 3 (.f32 s (log.f32 (fma.f32 -4/3 u 4/3)))))
(neg.f32 (.f32 3 (.f32 s (log1p.f32 (fma.f32 u -4/3 1/3)))))
(.f32 (log.f32 (fma.f32 u -4/3 4/3)) (.f32 s -3))
(.f32 s (.f32 -3 (log.f32 (fma.f32 u -4/3 4/3))))
(.f32 s (.f32 (log1p.f32 (fma.f32 u -4/3 1/3)) -3))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (neg.f32 (neg.f32 (-.f32 (/.f32 16/9 (+.f32 4/3 (.f32 4/3 u))) (/.f32 (.f32 (.f32 u u) 16/9) (+.f32 4/3 (.f32 4/3 u)))))))))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (neg.f32 (neg.f32 (/.f32 (-.f32 (.f32 (.f32 u u) 16/9) 16/9) (-.f32 (*.f32 u -4/3) 4/3)))))))
(neg.f32 (.f32 3 (.f32 s (log1p.f32 (/.f32 (-.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) 1/9) (-.f32 (.f32 u -4/3) 1/3))))))
(.f32 s (.f32 (log1p.f32 (/.f32 (-.f32 (.f32 (.f32 u -4/3) (.f32 u -4/3)) 1/9) (-.f32 (.f32 u -4/3) 1/3))) -3))
(.f32 s (.f32 (log1p.f32 (/.f32 (-.f32 (.f32 16/9 (.f32 u u)) 1/9) (-.f32 (*.f32 u -4/3) 1/3))) -3))
(.f32 s (-.f32 (+.f32 1 (.f32 (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3)) -3)) 1))
(.f32 (.f32 3 s) (log.f32 (/.f32 1 (+.f32 (-.f32 1 (*.f32 u 4/3)) 1/3))))
(.f32 (.f32 3 s) (log.f32 (/.f32 1 (+.f32 (*.f32 (+.f32 u -1/4) -4/3) 1))))
(.f32 3 (.f32 s (log.f32 (/.f32 1 (-.f32 1 (*.f32 4/3 (-.f32 u 1/4)))))))
(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
(.f32 (.f32 3 s) (neg.f32 (log.f32 (neg.f32 (neg.f32 (+.f32 4/3 (*.f32 u -4/3)))))))
(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 4/3 (*.f32 u 4/3)))))
(.f32 -3 (.f32 s (log.f32 (+.f32 1 (*.f32 -4/3 (-.f32 u 1/4))))))
(.f32 (.f32 3 s) (log.f32 (/.f32 1 (+.f32 (*.f32 -4/3 u) 4/3))))
(neg.f32 (.f32 (.f32 3 s) (log.f32 (+.f32 4/3 (*.f32 u -4/3)))))
(neg.f32 (.f32 3 (.f32 s (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3)))))
(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3))))
(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))
(.f32 s (.f32 (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3)) -3))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 s (.f32 u (fma.f32 u 3/2 3)))
(neg.f32 (.f32 3 (.f32 s (+.f32 (-.f32 (log.f32 4/3) u) (.f32 (.f32 u u) (+.f32 -1/2 (*.f32 -1/3 u)))))))
(.f32 s (+.f32 (+.f32 (.f32 (log.f32 3/4) 3) (.f32 u 3)) (.f32 u (*.f32 u (+.f32 u 3/2)))))
(.f32 s (+.f32 (+.f32 (.f32 (log.f32 3/4) 3) (.f32 u 3)) (.f32 (*.f32 u u) (+.f32 u 3/2))))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (.f32 u (+.f32 u 3/2)))))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 (.f32 u u) (+.f32 u 3/2))))
(neg.f32 (.f32 3 (.f32 s (+.f32 (log.f32 4/3) (.f32 u (+.f32 (.f32 -1/2 u) -1))))))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 3/2 (.f32 u u))))
(.f32 s (+.f32 (.f32 u 3) (.f32 u (.f32 u (+.f32 u 3/2)))))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (.f32 u 3/2))))
(.f32 s (+.f32 (.f32 u 3) (.f32 (.f32 u u) (+.f32 u 3/2))))
(.f32 s (+.f32 (.f32 (log.f32 3/4) 3) (.f32 u (+.f32 3 (.f32 u 3/2)))))
(.f32 s (+.f32 (.f32 u 3) (.f32 u (.f32 u 3/2))))
(+.f32 (.f32 3 (.f32 s (log.f32 3/4))) (.f32 3 (.f32 s u)))
(-.f32 (+.f32 1 (.f32 s (.f32 (log.f32 3/4) 3))) 1)
(.f32 s (+.f32 (.f32 (log.f32 4/3) -3) (*.f32 u 3)))
(.f32 s (+.f32 (.f32 3 u) (*.f32 -3 (log.f32 4/3))))
(.f32 s (.f32 u (*.f32 u 3/2)))
(.f32 s (.f32 3 (+.f32 (log.f32 3/4) u)))
(.f32 s (.f32 3 (+.f32 u (log.f32 3/4))))
(.f32 s (+.f32 (.f32 3 u) (log.f32 27/64)))
(.f32 (+.f32 (log.f32 3/4) u) (.f32 3 s))
(.f32 s (.f32 (-.f32 (log.f32 4/3) u) -3))
(.f32 (.f32 3 s) (log.f32 3/4))
(.f32 3 (.f32 s (log.f32 3/4)))
(*.f32 s (log.f32 27/64))

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

Calls

14 calls:

37.0ms	(log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4))))
37.0ms	(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))
36.0ms	(/.f32 (-.f32 u 1/4) 3/4)
35.0ms	(/.f32 (-.f32 u 1/4) 3/4)
34.0ms	(/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))

Results

Error	Segments	Branch
0.7b	1	`s`
0.7b	1	`u`
0.7b	1	`(.f32 (.f32 3 s) (log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))))`
0.7b	1	`(*.f32 3 s)`
0.7b	1	`(log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4))))`
0.7b	1	`(log.f32 (/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4))))`
0.7b	1	`(/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))`
0.7b	1	`(/.f32 1 (-.f32 1 (/.f32 (-.f32 u 1/4) 3/4)))`
0.7b	1	`(-.f32 1 (/.f32 (-.f32 u 1/4) 3/4))`
0.7b	1	`(-.f32 1 (/.f32 (-.f32 u 1/4) 3/4))`
0.7b	1	`(/.f32 (-.f32 u 1/4) 3/4)`
0.7b	1	`(/.f32 (-.f32 u 1/4) 3/4)`
0.7b	1	`(-.f32 u 1/4)`
0.7b	1	`(-.f32 u 1/4)`

Compiler

Compiled 918 to 719 computations (21.7% saved)

regimes60.0ms (0.6%)

Counts

28 → 1

Calls

Call 1

Inputs
(.f32 s (.f32 (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3)) -3))
(.f32 -3 (.f32 s (log.f32 (+.f32 (*.f32 -4/3 u) 4/3))))
(.f32 s (.f32 u (fma.f32 u 3/2 3)))
(neg.f32 (.f32 3 (.f32 s (+.f32 (-.f32 (log.f32 4/3) u) (.f32 (.f32 u u) (+.f32 -1/2 (*.f32 -1/3 u)))))))
(.f32 s (+.f32 (+.f32 (.f32 (log.f32 3/4) 3) (.f32 u 3)) (.f32 u (*.f32 u (+.f32 u 3/2)))))
(.f32 s (+.f32 (+.f32 (.f32 (log.f32 3/4) 3) (.f32 u 3)) (.f32 (*.f32 u u) (+.f32 u 3/2))))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (.f32 u (+.f32 u 3/2)))))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 (.f32 u u) (+.f32 u 3/2))))
(neg.f32 (.f32 3 (.f32 s (+.f32 (log.f32 4/3) (.f32 u (+.f32 (.f32 -1/2 u) -1))))))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 3/2 (.f32 u u))))
(.f32 s (+.f32 (.f32 u 3) (.f32 u (.f32 u (+.f32 u 3/2)))))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (.f32 u 3/2))))
(.f32 s (+.f32 (.f32 u 3) (.f32 (.f32 u u) (+.f32 u 3/2))))
(.f32 s (+.f32 (.f32 (log.f32 3/4) 3) (.f32 u (+.f32 3 (.f32 u 3/2)))))
(.f32 s (+.f32 (.f32 u 3) (.f32 u (.f32 u 3/2))))
(+.f32 (.f32 3 (.f32 s (log.f32 3/4))) (.f32 3 (.f32 s u)))
(-.f32 (+.f32 1 (.f32 s (.f32 (log.f32 3/4) 3))) 1)
(.f32 s (+.f32 (.f32 (log.f32 4/3) -3) (*.f32 u 3)))
(.f32 s (+.f32 (.f32 3 u) (*.f32 -3 (log.f32 4/3))))
(.f32 s (.f32 u (*.f32 u 3/2)))
(.f32 s (.f32 3 (+.f32 (log.f32 3/4) u)))
(.f32 s (.f32 3 (+.f32 u (log.f32 3/4))))
(.f32 s (+.f32 (.f32 3 u) (log.f32 27/64)))
(.f32 (+.f32 (log.f32 3/4) u) (.f32 3 s))
(.f32 s (.f32 (-.f32 (log.f32 4/3) u) -3))
(.f32 (.f32 3 s) (log.f32 3/4))
(.f32 3 (.f32 s (log.f32 3/4)))
(*.f32 s (log.f32 27/64))

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

Calls

4 calls:

13.0ms	(*.f32 3 s)
13.0ms	(*.f32 3 s)
13.0ms	s
13.0ms	u

Results

Error	Segments	Branch
0.9b	1	`s`
0.9b	1	`u`
0.9b	1	`(*.f32 3 s)`
0.9b	1	`(*.f32 3 s)`

Compiler

Compiled 332 to 240 computations (27.7% saved)

regimes113.0ms (1%)

Counts

26 → 1

Calls

Call 1

Inputs
(.f32 s (.f32 u (fma.f32 u 3/2 3)))
(neg.f32 (.f32 3 (.f32 s (+.f32 (-.f32 (log.f32 4/3) u) (.f32 (.f32 u u) (+.f32 -1/2 (*.f32 -1/3 u)))))))
(.f32 s (+.f32 (+.f32 (.f32 (log.f32 3/4) 3) (.f32 u 3)) (.f32 u (*.f32 u (+.f32 u 3/2)))))
(.f32 s (+.f32 (+.f32 (.f32 (log.f32 3/4) 3) (.f32 u 3)) (.f32 (*.f32 u u) (+.f32 u 3/2))))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (.f32 u (+.f32 u 3/2)))))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 (.f32 u u) (+.f32 u 3/2))))
(neg.f32 (.f32 3 (.f32 s (+.f32 (log.f32 4/3) (.f32 u (+.f32 (.f32 -1/2 u) -1))))))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 3/2 (.f32 u u))))
(.f32 s (+.f32 (.f32 u 3) (.f32 u (.f32 u (+.f32 u 3/2)))))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (.f32 u 3/2))))
(.f32 s (+.f32 (.f32 u 3) (.f32 (.f32 u u) (+.f32 u 3/2))))
(.f32 s (+.f32 (.f32 (log.f32 3/4) 3) (.f32 u (+.f32 3 (.f32 u 3/2)))))
(.f32 s (+.f32 (.f32 u 3) (.f32 u (.f32 u 3/2))))
(+.f32 (.f32 3 (.f32 s (log.f32 3/4))) (.f32 3 (.f32 s u)))
(-.f32 (+.f32 1 (.f32 s (.f32 (log.f32 3/4) 3))) 1)
(.f32 s (+.f32 (.f32 (log.f32 4/3) -3) (*.f32 u 3)))
(.f32 s (+.f32 (.f32 3 u) (*.f32 -3 (log.f32 4/3))))
(.f32 s (.f32 u (*.f32 u 3/2)))
(.f32 s (.f32 3 (+.f32 (log.f32 3/4) u)))
(.f32 s (.f32 3 (+.f32 u (log.f32 3/4))))
(.f32 s (+.f32 (.f32 3 u) (log.f32 27/64)))
(.f32 (+.f32 (log.f32 3/4) u) (.f32 3 s))
(.f32 s (.f32 (-.f32 (log.f32 4/3) u) -3))
(.f32 (.f32 3 s) (log.f32 3/4))
(.f32 3 (.f32 s (log.f32 3/4)))
(*.f32 s (log.f32 27/64))

Outputs
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (.f32 u (+.f32 u 3/2)))))

Calls

4 calls:

61.0ms	s
16.0ms	u
14.0ms	(*.f32 3 s)
13.0ms	(*.f32 3 s)

Results

Error	Segments	Branch
20.4b	1	`s`
20.4b	1	`u`
20.4b	1	`(*.f32 3 s)`
20.4b	1	`(*.f32 3 s)`

Compiler

Compiled 312 to 224 computations (28.2% saved)

regimes96.0ms (0.9%)

Counts

20 → 1

Calls

Call 1

Inputs
(neg.f32 (.f32 3 (.f32 s (+.f32 (log.f32 4/3) (.f32 u (+.f32 (.f32 -1/2 u) -1))))))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 3/2 (.f32 u u))))
(.f32 s (+.f32 (.f32 u 3) (.f32 u (.f32 u (+.f32 u 3/2)))))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (.f32 u 3/2))))
(.f32 s (+.f32 (.f32 u 3) (.f32 (.f32 u u) (+.f32 u 3/2))))
(.f32 s (+.f32 (.f32 (log.f32 3/4) 3) (.f32 u (+.f32 3 (.f32 u 3/2)))))
(.f32 s (+.f32 (.f32 u 3) (.f32 u (.f32 u 3/2))))
(+.f32 (.f32 3 (.f32 s (log.f32 3/4))) (.f32 3 (.f32 s u)))
(-.f32 (+.f32 1 (.f32 s (.f32 (log.f32 3/4) 3))) 1)
(.f32 s (+.f32 (.f32 (log.f32 4/3) -3) (*.f32 u 3)))
(.f32 s (+.f32 (.f32 3 u) (*.f32 -3 (log.f32 4/3))))
(.f32 s (.f32 u (*.f32 u 3/2)))
(.f32 s (.f32 3 (+.f32 (log.f32 3/4) u)))
(.f32 s (.f32 3 (+.f32 u (log.f32 3/4))))
(.f32 s (+.f32 (.f32 3 u) (log.f32 27/64)))
(.f32 (+.f32 (log.f32 3/4) u) (.f32 3 s))
(.f32 s (.f32 (-.f32 (log.f32 4/3) u) -3))
(.f32 (.f32 3 s) (log.f32 3/4))
(.f32 3 (.f32 s (log.f32 3/4)))
(*.f32 s (log.f32 27/64))

Outputs
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 3/2 (.f32 u u))))

Calls

4 calls:

58.0ms	(*.f32 3 s)
11.0ms	u
10.0ms	s
10.0ms	(*.f32 3 s)

Results

Error	Segments	Branch
21.8b	1	`s`
21.8b	1	`u`
21.8b	1	`(*.f32 3 s)`
21.8b	1	`(*.f32 3 s)`

Compiler

Compiled 217 to 160 computations (26.3% saved)

regimes37.0ms (0.3%)

Counts

14 → 1

Calls

Call 1

Inputs
(.f32 s (+.f32 (.f32 u 3) (.f32 u (.f32 u 3/2))))
(+.f32 (.f32 3 (.f32 s (log.f32 3/4))) (.f32 3 (.f32 s u)))
(-.f32 (+.f32 1 (.f32 s (.f32 (log.f32 3/4) 3))) 1)
(.f32 s (+.f32 (.f32 (log.f32 4/3) -3) (*.f32 u 3)))
(.f32 s (+.f32 (.f32 3 u) (*.f32 -3 (log.f32 4/3))))
(.f32 s (.f32 u (*.f32 u 3/2)))
(.f32 s (.f32 3 (+.f32 (log.f32 3/4) u)))
(.f32 s (.f32 3 (+.f32 u (log.f32 3/4))))
(.f32 s (+.f32 (.f32 3 u) (log.f32 27/64)))
(.f32 (+.f32 (log.f32 3/4) u) (.f32 3 s))
(.f32 s (.f32 (-.f32 (log.f32 4/3) u) -3))
(.f32 (.f32 3 s) (log.f32 3/4))
(.f32 3 (.f32 s (log.f32 3/4)))
(*.f32 s (log.f32 27/64))

Outputs
(.f32 s (+.f32 (.f32 u 3) (.f32 u (.f32 u 3/2))))

Calls

4 calls:

9.0ms	(*.f32 3 s)
8.0ms	u
8.0ms	(*.f32 3 s)
8.0ms	s

Results

Error	Segments	Branch
22.1b	1	`s`
22.1b	1	`u`
22.1b	1	`(*.f32 3 s)`
22.1b	1	`(*.f32 3 s)`

Compiler

Compiled 134 to 102 computations (23.9% saved)

regimes34.0ms (0.3%)

Counts

12 → 1

Calls

Call 1

Inputs
(-.f32 (+.f32 1 (.f32 s (.f32 (log.f32 3/4) 3))) 1)
(.f32 s (+.f32 (.f32 (log.f32 4/3) -3) (*.f32 u 3)))
(.f32 s (+.f32 (.f32 3 u) (*.f32 -3 (log.f32 4/3))))
(.f32 s (.f32 u (*.f32 u 3/2)))
(.f32 s (.f32 3 (+.f32 (log.f32 3/4) u)))
(.f32 s (.f32 3 (+.f32 u (log.f32 3/4))))
(.f32 s (+.f32 (.f32 3 u) (log.f32 27/64)))
(.f32 (+.f32 (log.f32 3/4) u) (.f32 3 s))
(.f32 s (.f32 (-.f32 (log.f32 4/3) u) -3))
(.f32 (.f32 3 s) (log.f32 3/4))
(.f32 3 (.f32 s (log.f32 3/4)))
(*.f32 s (log.f32 27/64))

Outputs
(.f32 s (.f32 u (*.f32 u 3/2)))

Calls

4 calls:

8.0ms	s
8.0ms	(*.f32 3 s)
7.0ms	(*.f32 3 s)
7.0ms	u

Results

Error	Segments	Branch
23.6b	1	`s`
23.6b	1	`u`
23.6b	1	`(*.f32 3 s)`
23.6b	1	`(*.f32 3 s)`

Compiler

Compiled 111 to 86 computations (22.5% saved)

regimes12.0ms (0.1%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0.0b (-0%)

Counts

3 → 1

Calls

Call 1

Inputs
(.f32 (.f32 3 s) (log.f32 3/4))
(.f32 3 (.f32 s (log.f32 3/4)))
(*.f32 s (log.f32 27/64))

Outputs
(*.f32 s (log.f32 27/64))

Calls

3 calls:

4.0ms	(*.f32 3 s)
4.0ms	s
3.0ms	u

Results

Error	Segments	Branch
29.6b	1	`s`
29.6b	1	`u`
29.6b	1	`(*.f32 3 s)`

Compiler

Compiled 29 to 23 computations (20.7% saved)

simplify55.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

25×	`*-commutative_binary32`
11×	`+-commutative_binary32`
4×	`sub-neg_binary32`
4×	`neg-sub0_binary32`
4×	`neg-mul-1_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	48	127
1	81	127
2	89	125
3	101	125
4	106	125
5	109	125
6	110	125

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 s (.f32 (pow.f32 (cbrt.f32 -3) 3) (log1p.f32 (fma.f32 u -4/3 1/3))))
(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))
(.f32 s (.f32 (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3)) -3))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (.f32 u (+.f32 u 3/2)))))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 3/2 (.f32 u u))))
(.f32 s (+.f32 (.f32 u 3) (.f32 u (.f32 u 3/2))))
(.f32 s (.f32 u (*.f32 u 3/2)))
(*.f32 s (log.f32 27/64))

Outputs
(.f32 s (.f32 (pow.f32 (cbrt.f32 -3) 3) (log1p.f32 (fma.f32 u -4/3 1/3))))
(.f32 (.f32 3 s) (neg.f32 (log1p.f32 (*.f32 (+.f32 u -1/4) -4/3))))
(.f32 (.f32 s 3) (neg.f32 (log1p.f32 (*.f32 -4/3 (+.f32 u -1/4)))))
(.f32 (log1p.f32 (.f32 -4/3 (+.f32 u -1/4))) (*.f32 s -3))
(.f32 s (.f32 (log1p.f32 (+.f32 (*.f32 u -4/3) 1/3)) -3))
(.f32 s (.f32 -3 (log1p.f32 (+.f32 1/3 (*.f32 u -4/3)))))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 u (.f32 u (+.f32 u 3/2)))))
(.f32 s (+.f32 (.f32 3 (+.f32 u (log.f32 3/4))) (.f32 u (.f32 u (+.f32 u 3/2)))))
(.f32 s (+.f32 (.f32 (+.f32 (log.f32 3/4) u) 3) (.f32 3/2 (.f32 u u))))
(.f32 s (+.f32 (.f32 3 (+.f32 u (log.f32 3/4))) (.f32 3/2 (.f32 u u))))
(.f32 s (+.f32 (.f32 u 3) (.f32 u (.f32 u 3/2))))
(.f32 s (+.f32 (.f32 3 u) (.f32 u (.f32 u 3/2))))
(.f32 s (.f32 u (*.f32 u 3/2)))
(*.f32 s (log.f32 27/64))

Compiler

Compiled 100 to 77 computations (23% saved)

soundness180.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

738×	`fma-def_binary32`
494×	`fma-neg_binary32`
130×	`cancel-sign-sub-inv_binary32`
102×	`distribute-rgt-in_binary32`
88×	`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	241	15
5	333	15
6	440	13
7	634	13
8	1017	13
9	1258	13
10	1642	13
11	1906	13
12	2344	13
13	2660	13
14	2695	13
15	2696	13
16	2696	13

Stop Event

1×

saturated

Compiler

Compiled 466 to 406 computations (12.9% saved)

end54.0ms (0.5%)

Compiler: Compiled 86 to 63 computations (26.7% saved)