Details

analyze168.0ms (4.5%)

Algorithm

1×

Search

True	Other	False	Iter
0%	1.5%	98.5%	0
0%	1.5%	98.5%	1
0%	1.5%	98.5%	2
0.8%	0.8%	98.5%	3
0.8%	0.8%	98.5%	4
1.2%	0.4%	98.5%	5
1.2%	0.4%	98.5%	6
1.4%	0.2%	98.5%	7
1.4%	0.2%	98.5%	8
1.4%	0.1%	98.5%	9
1.4%	0.1%	98.5%	10
1.5%	0%	98.5%	11
1.5%	0%	98.5%	12
1.5%	0%	98.5%	13
1.5%	0%	98.5%	14

Compiler

Compiled 27 to 21 computations (22.2% saved)

sample1.9s (51%)

Results

1.9s

8256×

body

128

valid

preprocess124.0ms (3.3%)

Algorithm

2×	egg-herbie

Rules

870×	`fma-neg_binary32`
458×	`fma-def_binary32`
424×	`distribute-rgt-in_binary32`
319×	`unsub-neg_binary32`
236×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	28
1	38	22
2	71	22
3	124	22
4	168	22
5	229	22
6	300	22
7	411	22
8	688	22
9	961	22
10	1098	22
11	1295	22
12	1509	22
13	1759	22
14	1826	22
15	1856	22
16	1935	22
17	2367	22
18	3640	22
19	3914	22
20	4066	22
21	4096	22
22	4116	22
23	4116	22
24	4525	22
25	4742	22
26	4782	22
27	4806	22
28	4822	22
29	4822	22
0	2	2

Stop Event

1×	saturated
1×	node limit

Calls

Call 1

Inputs
0
1

Outputs
0
1

Call 2

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

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

Compiler

Compiled 12 to 10 computations (16.7% saved)

simplify18.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

175×	`fma-neg_binary32`
152×	`fma-def_binary32`
46×	`cancel-sign-sub-inv_binary32`
46×	`sub-neg_binary32`
30×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	10	14
1	24	11
2	41	11
3	70	11
4	97	11
5	127	11
6	167	11
7	241	11
8	359	11
9	435	11
10	511	11
11	603	11
12	741	11
13	853	11
14	866	11

Stop Event

1×

saturated

Counts

1 → 2

Calls

Call 1

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

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

eval4.0ms (0.1%)

Compiler: Compiled 19 to 15 computations (21.1% saved)

prune2.0ms (0.1%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

0.2b

Counts

3 → 2

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
	11.8b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))

Compiler

Compiled 42 to 34 computations (19% saved)

localize20.0ms (0.6%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.0b	(log1p.f32 (*.f32 u -4))
✓	0.2b	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))

series50.0ms (1.3%)

Counts

2 → 36

Calls

9 calls:

Time	Variable		Point	Expression
44.0ms	s	@	0	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
1.0ms	u	@	0	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
1.0ms	u	@	inf	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
1.0ms	s	@	inf	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
1.0ms	u	@	-inf	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))

rewrite38.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

641×	`pow1_binary32`
592×	`add-log-exp_binary32`
591×	`expm1-log1p-u_binary32`
590×	`log1p-expm1-u_binary32`
80×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	162	15
2	1938	15

Stop Event

1×	node limit

Counts

2 → 31

Calls

Call 1

Inputs
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(log1p.f32 (*.f32 u -4))

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

Outputs

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

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

simplify33.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

510×	`fma-def_binary32`
369×	`fma-neg_binary32`
304×	`distribute-lft-out_binary32`
302×	`sub-neg_binary32`
191×	`cancel-sign-sub-inv_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	700
1	291	662
2	860	642
3	2796	609

Stop Event

1×	node limit

Counts

67 → 82

Calls

Call 1

Inputs
(.f32 4 (.f32 s u))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (*.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/4 (/.f32 s u)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (*.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (.f32 1/4 (/.f32 s u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(*.f32 -4 u)
(+.f32 (.f32 -4 u) (.f32 -8 (pow.f32 u 2)))
(+.f32 (.f32 -4 u) (+.f32 (.f32 -8 (pow.f32 u 2)) (*.f32 -64/3 (pow.f32 u 3))))
(+.f32 (.f32 -4 u) (+.f32 (.f32 -8 (pow.f32 u 2)) (+.f32 (.f32 -64 (pow.f32 u 4)) (.f32 -64/3 (pow.f32 u 3)))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (.f32 1/4 (/.f32 1 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (*.f32 1/4 (/.f32 1 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 1/192 (/.f32 1 (pow.f32 u 3))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (.f32 1/4 (/.f32 1 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (*.f32 1/4 (/.f32 1 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 1/192 (/.f32 1 (pow.f32 u 3))))))

Outputs
(.f32 4 (.f32 s u))
(.f32 u (.f32 4 s))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(fma.f32 4 (.f32 s u) (.f32 (.f32 8 s) (.f32 u u)))
(fma.f32 4 (.f32 s u) (.f32 8 (.f32 s (.f32 u u))))
(.f32 u (+.f32 (.f32 s (.f32 8 u)) (.f32 4 s)))
(.f32 u (.f32 s (+.f32 4 (*.f32 8 u))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 s u) (.f32 (.f32 8 s) (*.f32 u u))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 s u) (.f32 8 (.f32 s (*.f32 u u)))))
(fma.f32 4 (.f32 s u) (.f32 (.f32 u u) (+.f32 (.f32 s (.f32 64/3 u)) (.f32 s 8))))
(.f32 s (+.f32 (.f32 4 u) (.f32 (.f32 u u) (+.f32 8 (*.f32 64/3 u)))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 s u) (fma.f32 8 (.f32 s (.f32 u u)) (.f32 (.f32 64 s) (pow.f32 u 4)))))
(fma.f32 64/3 (.f32 s (pow.f32 u 3)) (fma.f32 4 (.f32 s u) (fma.f32 8 (.f32 s (.f32 u u)) (.f32 s (.f32 (pow.f32 u 4) 64)))))
(fma.f32 4 (.f32 s u) (fma.f32 s (.f32 64/3 (pow.f32 u 3)) (.f32 s (+.f32 (.f32 u (.f32 u 8)) (.f32 64 (pow.f32 u 4))))))
(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (.f32 u (+.f32 (*.f32 8 u) 4))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(neg.f32 (*.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))))
(*.f32 (+.f32 (log.f32 u) (log.f32 -4)) (neg.f32 s))
(*.f32 s (-.f32 (neg.f32 (log.f32 u)) (log.f32 -4)))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))
(fma.f32 -1 (.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) (.f32 1/4 (/.f32 s u)))
(-.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (+.f32 (log.f32 u) (log.f32 -4))))
(*.f32 s (-.f32 (/.f32 1/4 u) (+.f32 (log.f32 u) (log.f32 -4))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 -1 (.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (-.f32 (.f32 1/4 (/.f32 s u)) (*.f32 s (+.f32 (log.f32 u) (log.f32 -4)))))
(-.f32 (.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) 1/4)) (.f32 s (+.f32 (log.f32 u) (log.f32 -4))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (fma.f32 -1 (.f32 s (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) (*.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (-.f32 (.f32 1/4 (/.f32 s u)) (*.f32 s (+.f32 (log.f32 u) (log.f32 -4))))))
(fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (-.f32 (.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) 1/4)) (.f32 s (+.f32 (log.f32 u) (log.f32 -4)))))
(+.f32 (.f32 s (-.f32 (/.f32 1/192 (pow.f32 u 3)) (+.f32 (log.f32 u) (log.f32 -4)))) (.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) 1/4)))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))
(neg.f32 (*.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))))
(*.f32 s (neg.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))))
(*.f32 s (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/4 (/.f32 s u)))
(fma.f32 -1 (.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) (.f32 1/4 (/.f32 s u)))
(-.f32 (.f32 1/4 (/.f32 s u)) (.f32 s (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))))
(*.f32 s (+.f32 (/.f32 1/4 u) (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 -1 (.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) (*.f32 1/4 (/.f32 s u))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (-.f32 (.f32 1/4 (/.f32 s u)) (*.f32 s (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))))
(fma.f32 s (neg.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) (*.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) 1/4)))
(fma.f32 s (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) (*.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) 1/4)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (fma.f32 -1 (.f32 s (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) (fma.f32 1/192 (/.f32 s (pow.f32 u 3)) (*.f32 1/4 (/.f32 s u)))))
(fma.f32 1/32 (/.f32 s (.f32 u u)) (-.f32 (fma.f32 1/4 (/.f32 s u) (.f32 1/192 (/.f32 s (pow.f32 u 3)))) (*.f32 s (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))))
(+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (fma.f32 s (neg.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) (.f32 (/.f32 s u) (+.f32 (/.f32 1/32 u) 1/4))))
(fma.f32 s (-.f32 (log.f32 (/.f32 -1 u)) (log.f32 4)) (.f32 (/.f32 s u) (+.f32 1/4 (+.f32 (/.f32 1/192 (.f32 u u)) (/.f32 1/32 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(*.f32 -4 u)
(*.f32 u -4)
(+.f32 (.f32 -4 u) (.f32 -8 (pow.f32 u 2)))
(fma.f32 -4 u (.f32 (.f32 u u) -8))
(fma.f32 u -4 (.f32 u (.f32 u -8)))
(.f32 u (+.f32 -4 (.f32 u -8)))
(+.f32 (.f32 -4 u) (+.f32 (.f32 -8 (pow.f32 u 2)) (*.f32 -64/3 (pow.f32 u 3))))
(fma.f32 -4 u (fma.f32 -8 (.f32 u u) (.f32 (pow.f32 u 3) -64/3)))
(fma.f32 u -4 (fma.f32 (.f32 u u) -8 (.f32 (pow.f32 u 3) -64/3)))
(fma.f32 (pow.f32 u 3) -64/3 (.f32 u (+.f32 -4 (.f32 u -8))))
(.f32 u (+.f32 -4 (.f32 u (+.f32 -8 (*.f32 u -64/3)))))
(+.f32 (.f32 -4 u) (+.f32 (.f32 -8 (pow.f32 u 2)) (+.f32 (.f32 -64 (pow.f32 u 4)) (.f32 -64/3 (pow.f32 u 3)))))
(fma.f32 -4 u (fma.f32 -8 (.f32 u u) (fma.f32 -64 (pow.f32 u 4) (.f32 (pow.f32 u 3) -64/3))))
(fma.f32 u -4 (fma.f32 (.f32 u u) -8 (fma.f32 (pow.f32 u 4) -64 (.f32 (pow.f32 u 3) -64/3))))
(fma.f32 u -4 (fma.f32 (pow.f32 u 4) -64 (.f32 (.f32 u u) (+.f32 -8 (*.f32 u -64/3)))))
(fma.f32 u -4 (.f32 (.f32 u u) (+.f32 -8 (.f32 u (+.f32 (.f32 -64 u) -64/3)))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))
(fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))
(+.f32 (log.f32 u) (log.f32 -4))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (.f32 1/4 (/.f32 1 u)))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (/.f32 1/4 u))
(+.f32 (log.f32 u) (+.f32 (log.f32 -4) (/.f32 -1/4 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (*.f32 1/4 (/.f32 1 u))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u))))
(+.f32 (log.f32 u) (-.f32 (log.f32 -4) (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u)))))
(+.f32 (log.f32 u) (+.f32 (-.f32 (log.f32 -4) (/.f32 1/32 (*.f32 u u))) (/.f32 -1/4 u)))
(+.f32 (+.f32 (log.f32 -4) (/.f32 -1/4 u)) (+.f32 (log.f32 u) (/.f32 (/.f32 -1/32 u) u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 1/192 (/.f32 1 (pow.f32 u 3))))))
(-.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (+.f32 (/.f32 1/32 (*.f32 u u)) (+.f32 (/.f32 1/4 u) (/.f32 1/192 (pow.f32 u 3)))))
(+.f32 (log.f32 u) (-.f32 (log.f32 -4) (+.f32 (/.f32 1/4 u) (+.f32 (/.f32 1/32 (*.f32 u u)) (/.f32 1/192 (pow.f32 u 3))))))
(+.f32 (log.f32 u) (+.f32 (+.f32 (-.f32 (log.f32 -4) (/.f32 1/32 (*.f32 u u))) (/.f32 -1/4 u)) (/.f32 -1/192 (pow.f32 u 3))))
(+.f32 (+.f32 (+.f32 (log.f32 -4) (/.f32 -1/4 u)) (+.f32 (log.f32 u) (/.f32 (/.f32 -1/32 u) u))) (/.f32 -1/192 (pow.f32 u 3)))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))
(fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))
(-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (.f32 1/4 (/.f32 1 u)))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) (/.f32 1/4 u))
(+.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (/.f32 -1/4 u))
(+.f32 (log.f32 4) (-.f32 (/.f32 -1/4 u) (log.f32 (/.f32 -1 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (*.f32 1/4 (/.f32 1 u))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u))))
(-.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u))))
(+.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (+.f32 (/.f32 -1/4 u) (/.f32 -1/32 (*.f32 u u))))
(+.f32 (log.f32 4) (-.f32 (+.f32 (/.f32 -1/4 u) (/.f32 (/.f32 -1/32 u) u)) (log.f32 (/.f32 -1 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 1/192 (/.f32 1 (pow.f32 u 3))))))
(-.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) (+.f32 (/.f32 1/32 (*.f32 u u)) (+.f32 (/.f32 1/4 u) (/.f32 1/192 (pow.f32 u 3)))))
(-.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (+.f32 (/.f32 1/4 u) (+.f32 (/.f32 1/32 (*.f32 u u)) (/.f32 1/192 (pow.f32 u 3)))))
(-.f32 (log.f32 4) (+.f32 (log.f32 (/.f32 -1 u)) (+.f32 (+.f32 (/.f32 1/4 u) (/.f32 1/32 (*.f32 u u))) (/.f32 1/192 (pow.f32 u 3)))))
(+.f32 (+.f32 (log.f32 4) (-.f32 (/.f32 -1/4 u) (log.f32 (/.f32 -1 u)))) (+.f32 (/.f32 (/.f32 -1/32 u) u) (/.f32 -1/192 (pow.f32 u 3))))

eval23.0ms (0.6%)

Compiler: Compiled 1182 to 854 computations (27.7% saved)

prune44.0ms (1.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	76	6	82
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	76	8	84

Error

0.0b

Counts

84 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	2.3b	(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (.f32 u (+.f32 (*.f32 8 u) 4))))
✓	0.2b	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
	0.7b	(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (cbrt.f32 (log1p.f32 (.f32 u -4)))) (neg.f32 s))
	2.4b	(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
	4.2b	(.f32 u (.f32 s (+.f32 4 (*.f32 8 u))))
	11.8b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
▶	0.7b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 3) (neg.f32 s))
	4.1b	(.f32 (+.f32 (.f32 -4 u) (*.f32 -8 (pow.f32 u 2))) (neg.f32 s))

Compiler

Compiled 247 to 193 computations (21.9% saved)

localize29.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(log1p.f32 (*.f32 u -4))
✓	0.1b	(cbrt.f32 (log1p.f32 (*.f32 u -4)))
✓	0.2b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 3) (neg.f32 s))
✓	0.7b	(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 3)

series16.0ms (0.4%)

Counts

3 → 40

Calls

12 calls:

Time	Variable		Point	Expression
5.0ms	u	@	inf	(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 3)
5.0ms	u	@	-inf	(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 3)
2.0ms	u	@	0	(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 3)
1.0ms	u	@	inf	(cbrt.f32 (log1p.f32 (*.f32 u -4)))
1.0ms	u	@	-inf	(cbrt.f32 (log1p.f32 (*.f32 u -4)))

rewrite43.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

760×	`expm1-log1p-u_binary32`
759×	`log1p-expm1-u_binary32`
101×	`add-sqr-sqrt_binary32`
96×	`add-log-exp_binary32`
95×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	11	25
1	231	23
2	2449	23

Stop Event

1×	node limit

Counts

3 → 59

Calls

Call 1

Inputs
(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 3)
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 3) (neg.f32 s))
(cbrt.f32 (log1p.f32 (*.f32 u -4)))

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

Outputs

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

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

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

simplify73.0ms (2%)

Algorithm

1×	egg-herbie

Rules

423×	`distribute-rgt-in_binary32`
416×	`distribute-lft-in_binary32`
333×	`times-frac_binary32`
288×	`fma-def_binary32`
171×	`associate-+r+_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	243	4179
1	753	3703
2	2861	3669

Stop Event

1×	node limit

Counts

99 → 118

Calls

Call 1

Inputs
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))
(+.f32 (.f32 -1/12 (.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4) 1/9) (/.f32 1 u))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4) 1/9) (/.f32 1 u))) (log.f32 -4))))
(+.f32 (.f32 -1/12 (.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4) 1/9) (/.f32 1 u))) (+.f32 (.f32 1/72 (.f32 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9) (/.f32 1 (pow.f32 u 2)))) (+.f32 (.f32 -1/3 (/.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9))) (pow.f32 u 2))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 (/.f32 (+.f32 (.f32 1/144 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4)) 1/9)) (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/3) (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9)))))) (pow.f32 u 2)) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 1/3)) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4) 1/9) (/.f32 1 u))) (log.f32 -4)))))))
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(.f32 4 (.f32 s u))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))
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(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))
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(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 1/3)
(+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 1/3) (.f32 -1/12 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2)) 1/9) (/.f32 1 u))))
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(+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 1/3) (.f32 -1/12 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/9) (/.f32 1 u))))
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Outputs
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))
(fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))
(+.f32 (log.f32 u) (log.f32 -4))
(+.f32 (.f32 -1/12 (.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4) 1/9) (/.f32 1 u))) (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4) 1/9) (/.f32 1 u))) (log.f32 -4))))
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(+.f32 (.f32 -1/3 (.f32 (/.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))) (pow.f32 u 2)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/3))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 1/3) (.f32 -1/12 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/9) (/.f32 1 u)))))
(fma.f32 -1/3 (.f32 (/.f32 (+.f32 1/32 (.f32 1/48 (.f32 (pow.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) 1/18) (pow.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) 1/18)))) (.f32 u u)) (cbrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2)))) (+.f32 (cbrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) (.f32 -1/12 (.f32 (/.f32 1 u) (*.f32 (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2)) 1/18))))))
(fma.f32 -1/3 (.f32 (/.f32 (fma.f32 1/48 (.f32 (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18) (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18)) 1/32) (.f32 u u)) (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)))) (fma.f32 -1/12 (/.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)) 1/18)) u) (cbrt.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))))
(+.f32 (.f32 -1/3 (.f32 (/.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))) (pow.f32 u 2)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/3))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 1/3) (+.f32 (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/3) (/.f32 (-.f32 1/192 (+.f32 (.f32 1/1728 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/3)) (.f32 -1/6 (.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 5)) 1/9))))) (pow.f32 u 3)))) (.f32 -1/12 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/9) (/.f32 1 u))))))
(fma.f32 -1/3 (.f32 (/.f32 (+.f32 1/32 (.f32 1/48 (.f32 (pow.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) 1/18) (pow.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) 1/18)))) (.f32 u u)) (cbrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2)))) (+.f32 (cbrt.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) (fma.f32 -1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2))) (/.f32 (-.f32 1/192 (fma.f32 1/1728 (cbrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2))) (.f32 -1/6 (.f32 (+.f32 1/32 (.f32 1/48 (.f32 (pow.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) 1/18) (pow.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) 1/18)))) (.f32 (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 5)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 5)) 1/18)))))) (pow.f32 u 3))) (.f32 -1/12 (.f32 (/.f32 1 u) (*.f32 (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2)) 1/18)))))))
(+.f32 (fma.f32 -1/12 (/.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)) 1/18)) u) (.f32 -1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2))) (/.f32 (-.f32 1/192 (fma.f32 -1/6 (.f32 (fma.f32 1/48 (.f32 (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18) (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18)) 1/32) (.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 5)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 5)) 1/18))) (.f32 1/1728 (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)))))) (pow.f32 u 3))))) (fma.f32 -1/3 (.f32 (/.f32 (fma.f32 1/48 (.f32 (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18) (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18)) 1/32) (.f32 u u)) (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)))) (cbrt.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))))))
(+.f32 (fma.f32 -1/3 (.f32 (/.f32 (fma.f32 1/48 (.f32 (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18) (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18)) 1/32) (.f32 u u)) (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)))) (fma.f32 -1/12 (/.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)) 1/18)) u) (cbrt.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))))) (.f32 (/.f32 (-.f32 1/192 (fma.f32 -1/6 (.f32 (fma.f32 1/48 (.f32 (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18) (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18)) 1/32) (.f32 (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 5)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 5)) 1/18))) (.f32 1/1728 (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)))))) (pow.f32 u 3)) (.f32 -1/3 (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2))))))

eval137.0ms (3.7%)

Compiler: Compiled 6035 to 5028 computations (16.7% saved)

prune93.0ms (2.5%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	153	4	157
Fresh	4	2	6
Picked	1	0	1
Done	0	1	1
Total	158	7	165

Error

0.0b

Counts

165 → 7

Alt Table

Click to see full alt table

Status	Error	Program
	2.3b	(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (.f32 u (+.f32 (*.f32 8 u) 4))))
▶	0.7b	(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (cbrt.f32 (log1p.f32 (.f32 u -4)))) (neg.f32 s))
✓	0.2b	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
	2.8b	(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (.f32 u (+.f32 (.f32 (.f32 8 s) u) (*.f32 4 s))))
	0.8b	(.f32 (.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2)) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (.f32 u -4)))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2))) (neg.f32 s))
	11.8b	(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))
	2.3b	(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (.f32 s (+.f32 (.f32 8 (.f32 u u)) (.f32 64 (pow.f32 u 4))))))

Compiler

Compiled 261 to 203 computations (22.2% saved)

localize33.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(cbrt.f32 (log1p.f32 (*.f32 u -4)))
✓	0.2b	(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (cbrt.f32 (log1p.f32 (.f32 u -4)))) (neg.f32 s))
✓	0.3b	(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (cbrt.f32 (log1p.f32 (*.f32 u -4))))
✓	0.5b	(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 2)

series5.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

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

rewrite44.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

811×	`expm1-log1p-u_binary32`
810×	`log1p-expm1-u_binary32`
109×	`add-sqr-sqrt_binary32`
103×	`add-log-exp_binary32`
103×	`pow1_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	251	26
2	2652	26

Stop Event

1×	node limit

Counts

3 → 48

Calls

Call 1

Inputs

(pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 2)

(*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 2) (cbrt.f32 (log1p.f32 (*.f32 u -4))))

(*.f32 (*.f32 (pow.f32 (cbrt.f32 (log1p.f32 (*.f32 u -4))) 2) (cbrt.f32 (log1p.f32 (*.f32 u -4)))) (neg.f32 s))

Outputs

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

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

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

simplify48.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

462×	`associate-l_binary32`
438×	`associate-r_binary32`
212×	`fma-def_binary32`
193×	`distribute-rgt-in_binary32`
181×	`distribute-lft-in_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	200	2061
1	594	1850
2	1941	1829

Stop Event

1×	node limit

Counts

92 → 115

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) 1/3)
(+.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 1/9) (/.f32 1 u))) (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) 1/3))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 1/9) (/.f32 1 u))) (+.f32 (.f32 1/144 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4)) 1/9) (/.f32 1 (pow.f32 u 2)))) (+.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) 1/3) (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/3) (/.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9))) (pow.f32 u 2)))))))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 1/9) (/.f32 1 u))) (+.f32 (.f32 -2/3 (.f32 (/.f32 (+.f32 (.f32 1/6 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 5)) 1/9) (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9))))) (+.f32 1/192 (.f32 -1/1728 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2)) 1/3)))) (pow.f32 u 3)) (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/3))) (+.f32 (.f32 1/144 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4)) 1/9) (/.f32 1 (pow.f32 u 2)))) (+.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) 1/3) (+.f32 (.f32 1/18 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 8)) 1/9) (/.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9))) (pow.f32 u 3)))) (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/3) (/.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9))) (pow.f32 u 2)))))))))
(pow.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) 1/3)
(+.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 1/9) (/.f32 1 u))) (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) 1/3))
(+.f32 (.f32 1/144 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 4)) 1/9) (/.f32 1 (pow.f32 u 2)))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 1/9) (/.f32 1 u))) (+.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) 1/3) (.f32 -2/3 (.f32 (/.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))) (pow.f32 u 2)) (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/3))))))
(+.f32 (.f32 1/144 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 4)) 1/9) (/.f32 1 (pow.f32 u 2)))) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 1/9) (/.f32 1 u))) (+.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) 1/3) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/18 (.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 8)) 1/9))) (.f32 2/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/3) (-.f32 1/192 (+.f32 (.f32 1/1728 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)) 1/3)) (.f32 -1/6 (.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 5)) 1/9)))))))) (pow.f32 u 3))) (.f32 -2/3 (.f32 (/.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9))) (pow.f32 u 2)) (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/3)))))))
(*.f32 -4 u)
(+.f32 (.f32 -4 u) (.f32 -8 (pow.f32 u 2)))
(+.f32 (.f32 -4 u) (+.f32 (.f32 -8 (pow.f32 u 2)) (*.f32 -64/3 (pow.f32 u 3))))
(+.f32 (.f32 -4 u) (+.f32 (.f32 -8 (pow.f32 u 2)) (+.f32 (.f32 -64 (pow.f32 u 4)) (.f32 -64/3 (pow.f32 u 3)))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (.f32 1/4 (/.f32 1 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (*.f32 1/4 (/.f32 1 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 1/192 (/.f32 1 (pow.f32 u 3))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (.f32 1/4 (/.f32 1 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (*.f32 1/4 (/.f32 1 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 1/192 (/.f32 1 (pow.f32 u 3))))))
(.f32 4 (.f32 s u))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (*.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/4 (/.f32 s u)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (*.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (.f32 1/4 (/.f32 s u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))

Outputs
(pow.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) 1/3)
(cbrt.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 2))
(cbrt.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 1/9) (/.f32 1 u))) (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) 1/3))
(fma.f32 -1/6 (.f32 (/.f32 1 u) (.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 1/18) (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 1/18))) (cbrt.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 2)))
(fma.f32 -1/6 (/.f32 (*.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 1/18) (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 1/18)) u) (cbrt.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2)))
(fma.f32 -1/6 (*.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 1/18) (/.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 1/18) u)) (cbrt.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2)))
(+.f32 (.f32 -1/6 (.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 1/9) (/.f32 1 u))) (+.f32 (.f32 1/144 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4)) 1/9) (/.f32 1 (pow.f32 u 2)))) (+.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) 1/3) (.f32 -2/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/3) (/.f32 (+.f32 1/32 (.f32 1/48 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9))) (pow.f32 u 2)))))))
(fma.f32 -1/6 (.f32 (/.f32 1 u) (.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 1/18) (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 1/18))) (fma.f32 1/144 (.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 4)) 1/18)) (/.f32 1 (.f32 u u))) (+.f32 (cbrt.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 2)) (.f32 -2/3 (.f32 (cbrt.f32 (/.f32 1 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)))) (/.f32 (+.f32 1/32 (.f32 1/48 (.f32 (pow.f32 (/.f32 1 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) 1/18) (pow.f32 (/.f32 1 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) 1/18)))) (.f32 u u)))))))
(fma.f32 -1/6 (/.f32 (.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 1/18) (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 1/18)) u) (fma.f32 1/144 (/.f32 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 4)) 1/18) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 4)) 1/18)) (.f32 u u)) (fma.f32 -2/3 (.f32 (cbrt.f32 (/.f32 1 (+.f32 (log.f32 u) (log.f32 -4)))) (/.f32 (fma.f32 1/48 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 u) (log.f32 -4))) 1/18) (pow.f32 (/.f32 1 (+.f32 (log.f32 u) (log.f32 -4))) 1/18)) 1/32) (.f32 u u))) (cbrt.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2)))))
(fma.f32 -1/6 (.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 1/18) (/.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 1/18) u)) (fma.f32 1/144 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 4)) 1/18) (/.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 4)) 1/18) (.f32 u u))) (fma.f32 -2/3 (/.f32 (fma.f32 1/48 (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 u) (log.f32 -4))) 1/18) (pow.f32 (/.f32 1 (+.f32 (log.f32 u) (log.f32 -4))) 1/18)) 1/32) (/.f32 (*.f32 u u) (cbrt.f32 (/.f32 1 (+.f32 (log.f32 u) (log.f32 -4)))))) (cbrt.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2)))))
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(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(neg.f32 (.f32 s (log1p.f32 (.f32 u -4))))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (neg.f32 (log1p.f32 (.f32 u -4))))

eval147.0ms (3.9%)

Compiler: Compiled 6597 to 5415 computations (17.9% saved)

prune127.0ms (3.4%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	186	5	191
Fresh	3	2	5
Picked	1	0	1
Done	0	1	1
Total	190	8	198

Error

0.0b

Counts

198 → 8

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(.f32 (.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2)) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (.f32 u -4)))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2))) (neg.f32 s))
	2.3b	(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (.f32 s (+.f32 (.f32 u (.f32 u 8)) (.f32 (pow.f32 u 4) 64)))))
	2.3b	(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (.f32 u (+.f32 (*.f32 8 u) 4))))
✓	0.2b	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
	0.7b	(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (log1p.f32 (expm1.f32 (cbrt.f32 (log1p.f32 (.f32 u -4)))))) (neg.f32 s))
	2.8b	(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (.f32 u (+.f32 (.f32 8 (.f32 u s)) (*.f32 4 s))))
	1.2b	(.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (.f32 u -4)))) 3) 2) (cbrt.f32 (log1p.f32 (.f32 u -4)))) (neg.f32 s))
▶	0.4b	(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 (.f32 u -4)) 2)) (cbrt.f32 (log1p.f32 (.f32 u -4)))) (neg.f32 s))

Compiler

Compiled 319 to 253 computations (20.7% saved)

localize44.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 2))
✓	0.2b	(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 (.f32 u -4)) 2)) (cbrt.f32 (log1p.f32 (.f32 u -4)))) (neg.f32 s))
✓	0.3b	(.f32 (cbrt.f32 (pow.f32 (log1p.f32 (.f32 u -4)) 2)) (cbrt.f32 (log1p.f32 (*.f32 u -4))))
✓	0.4b	(pow.f32 (log1p.f32 (*.f32 u -4)) 2)

series12.0ms (0.3%)

Counts

4 → 56

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	u	@	inf	(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 2))
2.0ms	u	@	-inf	(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 2))
1.0ms	u	@	0	(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 (.f32 u -4)) 2)) (cbrt.f32 (log1p.f32 (.f32 u -4)))) (neg.f32 s))
1.0ms	u	@	inf	(pow.f32 (log1p.f32 (*.f32 u -4)) 2)
1.0ms	u	@	-inf	(pow.f32 (log1p.f32 (*.f32 u -4)) 2)

rewrite48.0ms (1.3%)

Algorithm

1×	batch-egg-rewrite

Rules

850×	`expm1-log1p-u_binary32`
849×	`log1p-expm1-u_binary32`
115×	`add-sqr-sqrt_binary32`
110×	`pow1_binary32`
108×	`*-un-lft-identity_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	37
1	269	35
2	2785	35

Stop Event

1×	node limit

Counts

4 → 77

Calls

Call 1

Inputs
(pow.f32 (log1p.f32 (*.f32 u -4)) 2)
(.f32 (cbrt.f32 (pow.f32 (log1p.f32 (.f32 u -4)) 2)) (cbrt.f32 (log1p.f32 (*.f32 u -4))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 (.f32 u -4)) 2)) (cbrt.f32 (log1p.f32 (.f32 u -4)))) (neg.f32 s))
(cbrt.f32 (pow.f32 (log1p.f32 (*.f32 u -4)) 2))

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

simplify52.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

255×	`distribute-rgt-in_binary32`
250×	`fma-def_binary32`
234×	`distribute-lft-in_binary32`
218×	`times-frac_binary32`
189×	`associate-/l*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	221	2290
1	704	2049
2	2402	1969

Stop Event

1×	node limit

Counts

133 → 168

Calls

Call 1

Inputs
(*.f32 16 (pow.f32 u 2))
(+.f32 (.f32 16 (pow.f32 u 2)) (.f32 64 (pow.f32 u 3)))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 64 (pow.f32 u 3)) (*.f32 704/3 (pow.f32 u 4))))
(+.f32 (.f32 2560/3 (pow.f32 u 5)) (+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 64 (pow.f32 u 3)) (.f32 704/3 (pow.f32 u 4)))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2)
(+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) u)) (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 -1/16 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (pow.f32 u 2))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) u)) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2))))
(+.f32 (.f32 -1/16 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (pow.f32 u 2))) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/64 (/.f32 1 (pow.f32 u 3))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) u)) (+.f32 (.f32 -1/96 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (pow.f32 u 3))) (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2))))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)
(+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) (.f32 -1/2 (/.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) u)))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) (+.f32 (.f32 -1/16 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (pow.f32 u 2))) (.f32 -1/2 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) u)))))
(+.f32 (.f32 -1 (/.f32 (-.f32 (.f32 1/96 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/64) (pow.f32 u 3))) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) (+.f32 (.f32 -1/16 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (pow.f32 u 2))) (.f32 -1/2 (/.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) u))))))
(*.f32 -4 u)
(+.f32 (.f32 -4 u) (.f32 -8 (pow.f32 u 2)))
(+.f32 (.f32 -4 u) (+.f32 (.f32 -8 (pow.f32 u 2)) (*.f32 -64/3 (pow.f32 u 3))))
(+.f32 (.f32 -4 u) (+.f32 (.f32 -8 (pow.f32 u 2)) (+.f32 (.f32 -64 (pow.f32 u 4)) (.f32 -64/3 (pow.f32 u 3)))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (.f32 1/4 (/.f32 1 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (*.f32 1/4 (/.f32 1 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 1/192 (/.f32 1 (pow.f32 u 3))))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (.f32 1/4 (/.f32 1 u)))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (*.f32 1/4 (/.f32 1 u))))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (+.f32 (.f32 1/32 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/4 (/.f32 1 u)) (.f32 1/192 (/.f32 1 (pow.f32 u 3))))))
(.f32 4 (.f32 s u))
(+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (.f32 8 (.f32 s (pow.f32 u 2)))))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (*.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/4 (/.f32 s u)))))
(.f32 -1 (.f32 s (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))))
(+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/4 (/.f32 s u)))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (*.f32 1/4 (/.f32 s u))))
(+.f32 (.f32 1/32 (/.f32 s (pow.f32 u 2))) (+.f32 (.f32 -1 (.f32 s (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (+.f32 (.f32 1/192 (/.f32 s (pow.f32 u 3))) (.f32 1/4 (/.f32 s u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 (*.f32 -4 u) 1))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(.f32 -1 (.f32 s (log.f32 (+.f32 1 (*.f32 -4 u)))))
(pow.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) 1/3)
(+.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) 1/3) (.f32 -1/6 (.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 5) 1/9) (/.f32 1 u))))
(+.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) 1/3) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 5) 1/9) (/.f32 1 u))) (.f32 1/3 (.f32 (/.f32 (-.f32 (+.f32 1/16 (.f32 -1/16 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/12 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 16) 1/9))) (pow.f32 u 2)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4)) 1/3)))))
(+.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2) 1/3) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 5) 1/9) (/.f32 1 u))) (+.f32 (.f32 1/3 (.f32 (/.f32 (-.f32 (+.f32 1/64 (.f32 -1/96 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (+.f32 (.f32 -1/3 (.f32 (-.f32 (+.f32 1/16 (.f32 -1/16 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/12 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 16) 1/9))) (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))) 1/9))) (.f32 -1/216 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 5) 1/3)))) (pow.f32 u 3)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4)) 1/3))) (.f32 1/3 (.f32 (/.f32 (-.f32 (+.f32 1/16 (.f32 -1/16 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)))) (.f32 1/12 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 16) 1/9))) (pow.f32 u 2)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 4)) 1/3))))))
(pow.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) 1/3)
(+.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) 1/3) (.f32 -1/6 (.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 5) 1/9) (/.f32 1 u))))
(+.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) 1/3) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 5) 1/9) (/.f32 1 u))) (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 4)) 1/3) (/.f32 (-.f32 (+.f32 1/16 (.f32 -1/16 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/12 (pow.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 16) 1/9))) (pow.f32 u 2))))))
(+.f32 (.f32 -1/3 (.f32 (/.f32 (-.f32 (.f32 1/96 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) (+.f32 (.f32 1/216 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 5) 1/3)) (+.f32 1/64 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9) (-.f32 (+.f32 1/16 (.f32 -1/16 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/12 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 16) 1/9)))))))) (pow.f32 u 3)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 4)) 1/3))) (+.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) 1/3) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 5) 1/9) (/.f32 1 u))) (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 4)) 1/3) (/.f32 (-.f32 (+.f32 1/16 (.f32 -1/16 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/12 (pow.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 16) 1/9))) (pow.f32 u 2)))))))

Outputs
(*.f32 16 (pow.f32 u 2))
(.f32 16 (.f32 u u))
(+.f32 (.f32 16 (pow.f32 u 2)) (.f32 64 (pow.f32 u 3)))
(fma.f32 16 (.f32 u u) (.f32 64 (pow.f32 u 3)))
(.f32 (.f32 u u) (+.f32 16 (*.f32 64 u)))
(+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 64 (pow.f32 u 3)) (*.f32 704/3 (pow.f32 u 4))))
(fma.f32 16 (.f32 u u) (fma.f32 64 (pow.f32 u 3) (.f32 704/3 (pow.f32 u 4))))
(+.f32 (.f32 2560/3 (pow.f32 u 5)) (+.f32 (.f32 16 (pow.f32 u 2)) (+.f32 (.f32 64 (pow.f32 u 3)) (.f32 704/3 (pow.f32 u 4)))))
(fma.f32 2560/3 (pow.f32 u 5) (fma.f32 16 (.f32 u u) (fma.f32 64 (pow.f32 u 3) (.f32 704/3 (pow.f32 u 4)))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2)
(pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 2)
(pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2)
(+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) u)) (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2))
(fma.f32 -1/2 (/.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) u) (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 2))
(fma.f32 -1/2 (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) u) (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 -1/16 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (pow.f32 u 2))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) u)) (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2))))
(+.f32 (/.f32 1/16 (.f32 u u)) (fma.f32 -1/16 (/.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (.f32 u u)) (fma.f32 -1/2 (/.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) u) (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 2))))
(+.f32 (fma.f32 -1/2 (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) u) (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2)) (fma.f32 -1/16 (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) (.f32 u u)) (/.f32 1/16 (.f32 u u))))
(+.f32 (/.f32 1/16 (.f32 u u)) (+.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2) (.f32 (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) u) (+.f32 -1/2 (/.f32 -1/16 u)))))
(+.f32 (.f32 -1/16 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (pow.f32 u 2))) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (.f32 1/64 (/.f32 1 (pow.f32 u 3))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) u)) (+.f32 (.f32 -1/96 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (pow.f32 u 3))) (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) 2))))))
(fma.f32 -1/16 (/.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (.f32 u u)) (+.f32 (/.f32 1/16 (.f32 u u)) (+.f32 (fma.f32 -1/2 (/.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) u) (fma.f32 -1/96 (/.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) (pow.f32 u 3)) (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 2))) (/.f32 1/64 (pow.f32 u 3)))))
(+.f32 (+.f32 (fma.f32 -1/2 (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) u) (fma.f32 -1/96 (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) (pow.f32 u 3)) (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2))) (/.f32 1/64 (pow.f32 u 3))) (fma.f32 -1/16 (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) (.f32 u u)) (/.f32 1/16 (.f32 u u))))
(+.f32 (+.f32 (.f32 (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) u) (+.f32 -1/2 (/.f32 -1/96 (.f32 u u)))) (+.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2) (/.f32 1/64 (pow.f32 u 3)))) (fma.f32 -1/16 (/.f32 (+.f32 (log.f32 u) (log.f32 -4)) (.f32 u u)) (/.f32 1/16 (.f32 u u))))
(pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2)
(pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2)
(pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)
(+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) (.f32 -1/2 (/.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) u)))
(+.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2) (*.f32 -1/2 (/.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) u)))
(fma.f32 -1/2 (/.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) u) (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2))
(+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) (+.f32 (.f32 -1/16 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (pow.f32 u 2))) (.f32 -1/2 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) u)))))
(+.f32 (/.f32 1/16 (.f32 u u)) (+.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2) (fma.f32 -1/16 (/.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) (.f32 u u)) (*.f32 -1/2 (/.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) u)))))
(+.f32 (/.f32 1/16 (.f32 u u)) (+.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2) (fma.f32 -1/2 (/.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) u) (.f32 -1/16 (/.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (*.f32 u u))))))
(+.f32 (.f32 (/.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) u) (+.f32 -1/2 (/.f32 -1/16 u))) (+.f32 (/.f32 1/16 (.f32 u u)) (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)))
(+.f32 (.f32 -1 (/.f32 (-.f32 (.f32 1/96 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/64) (pow.f32 u 3))) (+.f32 (.f32 1/16 (/.f32 1 (pow.f32 u 2))) (+.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) (+.f32 (.f32 -1/16 (/.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) (pow.f32 u 2))) (.f32 -1/2 (/.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) u))))))
(fma.f32 -1 (/.f32 (fma.f32 1/96 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) -1/64) (pow.f32 u 3)) (+.f32 (/.f32 1/16 (.f32 u u)) (+.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2) (fma.f32 -1/16 (/.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) (.f32 u u)) (*.f32 -1/2 (/.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) u))))))
(-.f32 (+.f32 (/.f32 1/16 (.f32 u u)) (+.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2) (fma.f32 -1/2 (/.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) u) (.f32 -1/16 (/.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (*.f32 u u)))))) (/.f32 (fma.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 1/96 -1/64) (pow.f32 u 3)))
(+.f32 (/.f32 1/16 (.f32 u u)) (-.f32 (+.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2) (.f32 (/.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) u) (+.f32 -1/2 (/.f32 -1/16 u)))) (/.f32 (fma.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 1/96 -1/64) (pow.f32 u 3))))
(*.f32 -4 u)
(*.f32 u -4)
(+.f32 (.f32 -4 u) (.f32 -8 (pow.f32 u 2)))
(fma.f32 -4 u (.f32 (.f32 u u) -8))
(fma.f32 u -4 (.f32 u (.f32 u -8)))
(.f32 u (+.f32 -4 (.f32 -8 u)))
(+.f32 (.f32 -4 u) (+.f32 (.f32 -8 (pow.f32 u 2)) (*.f32 -64/3 (pow.f32 u 3))))
(fma.f32 -4 u (fma.f32 -8 (.f32 u u) (.f32 (pow.f32 u 3) -64/3)))
(fma.f32 u -4 (fma.f32 (pow.f32 u 3) -64/3 (.f32 u (.f32 u -8))))
(fma.f32 u -4 (.f32 (.f32 u u) (+.f32 -8 (*.f32 -64/3 u))))
(+.f32 (.f32 -4 u) (+.f32 (.f32 -8 (pow.f32 u 2)) (+.f32 (.f32 -64 (pow.f32 u 4)) (.f32 -64/3 (pow.f32 u 3)))))
(fma.f32 -4 u (fma.f32 -8 (.f32 u u) (fma.f32 -64 (pow.f32 u 4) (.f32 (pow.f32 u 3) -64/3))))
(fma.f32 u -4 (fma.f32 (.f32 u u) -8 (fma.f32 (pow.f32 u 3) -64/3 (.f32 (pow.f32 u 4) -64))))
(+.f32 (*.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4))
(fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))
(+.f32 (log.f32 u) (log.f32 -4))
(-.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 1 u))) (log.f32 -4)) (.f32 1/4 (/.f32 1 u)))
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(+.f32 (cbrt.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 2)) (fma.f32 -1/6 (.f32 (/.f32 1 u) (.f32 (pow.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 5) 1/18) (pow.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 5) 1/18))) (.f32 1/3 (+.f32 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 4))) (/.f32 (-.f32 (+.f32 1/64 (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) -1/96)) (fma.f32 -1/3 (.f32 (+.f32 (+.f32 1/16 (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) -1/16)) (.f32 -1/12 (.f32 (pow.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 16) 1/18) (pow.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 16) 1/18)))) (.f32 (pow.f32 (/.f32 1 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) 1/18) (pow.f32 (/.f32 1 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4))) 1/18))) (.f32 -1/216 (cbrt.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 5))))) (pow.f32 u 3))) (.f32 (/.f32 (+.f32 (+.f32 1/16 (.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) -1/16)) (.f32 -1/12 (.f32 (pow.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 16) 1/18) (pow.f32 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 16) 1/18)))) (.f32 u u)) (cbrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (neg.f32 (log.f32 u)) (log.f32 -4)) 4))))))))
(+.f32 (cbrt.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2)) (fma.f32 1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 4))) (+.f32 (/.f32 (-.f32 (fma.f32 (+.f32 (log.f32 u) (log.f32 -4)) -1/96 1/64) (fma.f32 -1/3 (.f32 (+.f32 (fma.f32 (+.f32 (log.f32 u) (log.f32 -4)) -1/16 1/16) (.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 16) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 16) 1/18)) -1/12)) (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 u) (log.f32 -4))) 1/18) (pow.f32 (/.f32 1 (+.f32 (log.f32 u) (log.f32 -4))) 1/18))) (.f32 -1/216 (cbrt.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 5))))) (pow.f32 u 3)) (/.f32 (+.f32 (fma.f32 (+.f32 (log.f32 u) (log.f32 -4)) -1/16 1/16) (.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 16) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 16) 1/18)) -1/12)) (.f32 u u)))) (.f32 -1/6 (/.f32 (*.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 5) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 5) 1/18)) u))))
(+.f32 (cbrt.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 2)) (fma.f32 1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 4))) (+.f32 (/.f32 (+.f32 (fma.f32 (+.f32 (log.f32 u) (log.f32 -4)) -1/16 1/16) (.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 16) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 16) 1/18)) -1/12)) (.f32 u u)) (/.f32 (-.f32 (fma.f32 (+.f32 (log.f32 u) (log.f32 -4)) -1/96 1/64) (fma.f32 -1/3 (.f32 (+.f32 (fma.f32 (+.f32 (log.f32 u) (log.f32 -4)) -1/16 1/16) (.f32 (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 16) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 16) 1/18)) -1/12)) (.f32 (pow.f32 (/.f32 1 (+.f32 (log.f32 u) (log.f32 -4))) 1/18) (pow.f32 (/.f32 1 (+.f32 (log.f32 u) (log.f32 -4))) 1/18))) (.f32 -1/216 (cbrt.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 5))))) (pow.f32 u 3)))) (/.f32 -1/6 (/.f32 u (.f32 (pow.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 5) 1/18) (pow.f32 (pow.f32 (+.f32 (log.f32 u) (log.f32 -4)) 5) 1/18))))))
(pow.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) 1/3)
(cbrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2))
(cbrt.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2))
(+.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) 1/3) (.f32 -1/6 (.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 5) 1/9) (/.f32 1 u))))
(+.f32 (cbrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2)) (.f32 -1/6 (.f32 (/.f32 1 u) (*.f32 (pow.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 5) 1/18) (pow.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 5) 1/18)))))
(fma.f32 -1/6 (/.f32 (*.f32 (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 5) 1/18) (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 5) 1/18)) u) (cbrt.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)))
(+.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) 1/3) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 5) 1/9) (/.f32 1 u))) (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 4)) 1/3) (/.f32 (-.f32 (+.f32 1/16 (.f32 -1/16 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/12 (pow.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 16) 1/9))) (pow.f32 u 2))))))
(+.f32 (cbrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2)) (fma.f32 -1/6 (.f32 (/.f32 1 u) (.f32 (pow.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 5) 1/18) (pow.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 5) 1/18))) (.f32 1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 4))) (/.f32 (+.f32 1/16 (-.f32 (.f32 -1/16 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) (.f32 1/12 (.f32 (pow.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 16) 1/18) (pow.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 16) 1/18))))) (.f32 u u))))))
(+.f32 (cbrt.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)) (fma.f32 1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 4))) (/.f32 (+.f32 (fma.f32 -1/16 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 1/16) (.f32 (.f32 -1/12 (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 16) 1/18)) (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 16) 1/18))) (.f32 u u))) (.f32 -1/6 (/.f32 (.f32 (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 5) 1/18) (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 5) 1/18)) u))))
(+.f32 (cbrt.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)) (fma.f32 1/3 (.f32 (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 4))) (.f32 u u)) (+.f32 1/16 (fma.f32 -1/16 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (.f32 (.f32 -1/12 (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 16) 1/18)) (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 16) 1/18))))) (/.f32 -1/6 (/.f32 u (*.f32 (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 5) 1/18) (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 5) 1/18))))))
(+.f32 (.f32 -1/3 (.f32 (/.f32 (-.f32 (.f32 1/96 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) (+.f32 (.f32 1/216 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 5) 1/3)) (+.f32 1/64 (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4))) 1/9) (-.f32 (+.f32 1/16 (.f32 -1/16 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/12 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 16) 1/9)))))))) (pow.f32 u 3)) (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 4)) 1/3))) (+.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 2) 1/3) (+.f32 (.f32 -1/6 (.f32 (pow.f32 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 5) 1/9) (/.f32 1 u))) (.f32 1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 4)) 1/3) (/.f32 (-.f32 (+.f32 1/16 (.f32 -1/16 (+.f32 (.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)))) (.f32 1/12 (pow.f32 (pow.f32 (+.f32 (*.f32 -1 (log.f32 (/.f32 -1 u))) (log.f32 4)) 16) 1/9))) (pow.f32 u 2)))))))
(fma.f32 -1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 4))) (/.f32 (-.f32 (.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 1/96) (fma.f32 1/216 (cbrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 5)) (+.f32 1/64 (.f32 1/3 (.f32 (+.f32 1/16 (-.f32 (.f32 -1/16 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) (.f32 1/12 (.f32 (pow.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 16) 1/18) (pow.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 16) 1/18))))) (.f32 (pow.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) 1/18) (pow.f32 (/.f32 1 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) 1/18))))))) (pow.f32 u 3))) (+.f32 (cbrt.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 2)) (fma.f32 -1/6 (.f32 (/.f32 1 u) (.f32 (pow.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 5) 1/18) (pow.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 5) 1/18))) (.f32 1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 4))) (/.f32 (+.f32 1/16 (-.f32 (.f32 -1/16 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4))) (.f32 1/12 (.f32 (pow.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 16) 1/18) (pow.f32 (pow.f32 (fma.f32 -1 (log.f32 (/.f32 -1 u)) (log.f32 4)) 16) 1/18))))) (.f32 u u)))))))
(fma.f32 -1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 4))) (/.f32 (-.f32 (.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 1/96) (fma.f32 1/216 (cbrt.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 5)) (fma.f32 1/3 (.f32 (+.f32 (fma.f32 -1/16 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 1/16) (.f32 (.f32 -1/12 (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 16) 1/18)) (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 16) 1/18))) (.f32 (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18) (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18))) 1/64))) (pow.f32 u 3))) (+.f32 (cbrt.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2)) (fma.f32 1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 4))) (/.f32 (+.f32 (fma.f32 -1/16 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 1/16) (.f32 (.f32 -1/12 (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 16) 1/18)) (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 16) 1/18))) (.f32 u u))) (.f32 -1/6 (/.f32 (.f32 (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 5) 1/18) (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 5) 1/18)) u)))))
(+.f32 (fma.f32 -1/6 (/.f32 (.f32 (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 5) 1/18) (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 5) 1/18)) u) (cbrt.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 2))) (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 4))) (+.f32 (.f32 1/3 (/.f32 (+.f32 1/16 (fma.f32 -1/16 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (.f32 (.f32 -1/12 (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 16) 1/18)) (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 16) 1/18)))) (.f32 u u))) (/.f32 -1/3 (/.f32 (pow.f32 u 3) (-.f32 (fma.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 1/96 (.f32 -1/216 (cbrt.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 5)))) (fma.f32 1/3 (.f32 (+.f32 1/16 (fma.f32 -1/16 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) (.f32 (.f32 -1/12 (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 16) 1/18)) (pow.f32 (pow.f32 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u))) 16) 1/18)))) (*.f32 (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18) (pow.f32 (/.f32 1 (-.f32 (log.f32 4) (log.f32 (/.f32 -1 u)))) 1/18))) 1/64)))))))

eval108.0ms (2.9%)

Compiler: Compiled 4401 to 3466 computations (21.2% saved)

prune135.0ms (3.6%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	164	4	168
Fresh	2	4	6
Picked	1	0	1
Done	0	1	1
Total	167	9	176

Error

0.0b

Counts

176 → 9

Alt Table

Click to see full alt table

Status	Error	Program
	0.8b	(.f32 (.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2)) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (.f32 u -4)))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2))) (neg.f32 s))
	2.3b	(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (.f32 s (+.f32 (.f32 u (.f32 u 8)) (.f32 (pow.f32 u 4) 64)))))
	2.3b	(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (.f32 u (+.f32 (*.f32 8 u) 4))))
✓	0.2b	(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
	0.6b	(.f32 (.f32 (cbrt.f32 (.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (log1p.f32 (.f32 u -4))))) (cbrt.f32 (log1p.f32 (.f32 u -4)))) (neg.f32 s))
	1.2b	(.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (.f32 u -4)))) 2) 3) (cbrt.f32 (log1p.f32 (.f32 u -4)))) (neg.f32 s))
	2.8b	(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (.f32 u (+.f32 (.f32 8 (.f32 u s)) (*.f32 4 s))))
	0.4b	(.f32 (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 (.f32 u -4)) 4))) (cbrt.f32 (log1p.f32 (.f32 u -4)))) (neg.f32 s))
	0.4b	(.f32 (.f32 (cbrt.f32 (expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 (.f32 u -4)) 2)))) (cbrt.f32 (log1p.f32 (.f32 u -4)))) (neg.f32 s))

Compiler

Compiled 195 to 156 computations (20% saved)

regimes89.0ms (2.4%)

Accuracy

Total -14.7b remaining (-8173%)

Threshold costs -14.7b (-8173%)

Counts

21 → 1

Calls

Call 1

Inputs
(.f32 (.f32 (cbrt.f32 (.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (log1p.f32 (.f32 u -4))))) (cbrt.f32 (log1p.f32 (.f32 u -4)))) (neg.f32 s))
(.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (.f32 u -4)))) 2) 3) (cbrt.f32 (log1p.f32 (.f32 u -4)))) (neg.f32 s))
(.f32 (.f32 (sqrt.f32 (cbrt.f32 (pow.f32 (log1p.f32 (.f32 u -4)) 4))) (cbrt.f32 (log1p.f32 (.f32 u -4)))) (neg.f32 s))
(.f32 (.f32 (cbrt.f32 (expm1.f32 (log1p.f32 (pow.f32 (log1p.f32 (.f32 u -4)) 2)))) (cbrt.f32 (log1p.f32 (.f32 u -4)))) (neg.f32 s))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (.f32 s (+.f32 (.f32 u (.f32 u 8)) (.f32 (pow.f32 u 4) 64)))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (log1p.f32 (expm1.f32 (cbrt.f32 (log1p.f32 (.f32 u -4)))))) (neg.f32 s))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (.f32 u (+.f32 (.f32 8 (.f32 u s)) (*.f32 4 s))))
(.f32 (.f32 (pow.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (.f32 u -4)))) 3) 2) (cbrt.f32 (log1p.f32 (.f32 u -4)))) (neg.f32 s))
(.f32 (.f32 (cbrt.f32 (pow.f32 (log1p.f32 (.f32 u -4)) 2)) (cbrt.f32 (log1p.f32 (.f32 u -4)))) (neg.f32 s))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (cbrt.f32 (log1p.f32 (.f32 u -4)))) (neg.f32 s))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (.f32 u (+.f32 (.f32 (.f32 8 s) u) (*.f32 4 s))))
(.f32 (.f32 (cbrt.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2)) (.f32 (cbrt.f32 (cbrt.f32 (log1p.f32 (.f32 u -4)))) (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2))) (neg.f32 s))
(fma.f32 64/3 (.f32 (pow.f32 u 3) s) (fma.f32 4 (.f32 u s) (.f32 s (+.f32 (.f32 8 (.f32 u u)) (.f32 64 (pow.f32 u 4))))))
(.f32 s (+.f32 (.f32 (pow.f32 u 3) (+.f32 (.f32 64 u) 64/3)) (.f32 u (+.f32 (*.f32 8 u) 4))))
(.f32 (.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 2) (cbrt.f32 (log1p.f32 (.f32 u -4)))) (neg.f32 s))
(+.f32 (.f32 64/3 (.f32 s (pow.f32 u 3))) (+.f32 (.f32 4 (.f32 s u)) (+.f32 (.f32 8 (.f32 s (pow.f32 u 2))) (.f32 64 (.f32 s (pow.f32 u 4))))))
(.f32 u (.f32 s (+.f32 4 (*.f32 8 u))))
(.f32 (pow.f32 (cbrt.f32 (log1p.f32 (.f32 u -4))) 3) (neg.f32 s))
(.f32 (+.f32 (.f32 -4 u) (*.f32 -8 (pow.f32 u 2))) (neg.f32 s))
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))
(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))

Outputs
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))

Results

Time	Error	Segments	Branch
12.0ms	0.2b	1	`s`
12.0ms	0.2b	1	`u`
10.0ms	0.2b	1	`(.f32 s (log.f32 (/.f32 1 (-.f32 1 (.f32 4 u)))))`
11.0ms	0.2b	1	`(log.f32 (/.f32 1 (-.f32 1 (*.f32 4 u))))`
7.0ms	0.2b	1	`(/.f32 1 (-.f32 1 (*.f32 4 u)))`
12.0ms	0.2b	1	`(-.f32 1 (*.f32 4 u))`
12.0ms	0.2b	1	`(*.f32 4 u)`

Compiler

Compiled 426 to 318 computations (25.4% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	11
1	16	11
2	24	11
3	30	11
4	33	11
5	34	11

Stop Event

1×

saturated

Calls

Call 1

Inputs
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))

Outputs
(.f32 (log1p.f32 (.f32 u -4)) (neg.f32 s))

end13.0ms (0.3%)

Stop Event

1×

fuel

Compiler

Compiled 18 to 14 computations (22.2% saved)

Iter	Nodes	Cost
0	10	14
1	24	11
2	41	11
3	70	11
4	97	11
5	127	11
6	167	11
7	241	11
8	359	11
9	435	11
10	511	11
11	603	11
12	741	11
13	853	11
14	866	11

Iter	Nodes	Cost
0	10	14
1	24	11
2	41	11
3	70	11
4	97	11
5	127	11
6	167	11
7	241	11
8	359	11
9	435	11
10	511	11
11	603	11
12	741	11
13	853	11
14	866	11

Details

analyze168.0ms (4.5%)

sample1.9s (51%)

preprocess124.0ms (3.3%)

simplify18.0ms (0.5%)

eval4.0ms (0.1%)

prune2.0ms (0.1%)

localize20.0ms (0.6%)

series50.0ms (1.3%)

rewrite38.0ms (1%)

simplify33.0ms (0.9%)

eval23.0ms (0.6%)

prune44.0ms (1.2%)

localize29.0ms (0.8%)

series16.0ms (0.4%)

rewrite43.0ms (1.1%)

simplify73.0ms (2%)

eval137.0ms (3.7%)

prune93.0ms (2.5%)

localize33.0ms (0.9%)

series5.0ms (0.1%)

rewrite44.0ms (1.2%)

simplify48.0ms (1.3%)

eval147.0ms (3.9%)

prune127.0ms (3.4%)

localize44.0ms (1.2%)

series12.0ms (0.3%)

rewrite48.0ms (1.3%)

simplify52.0ms (1.4%)

eval108.0ms (2.9%)

prune135.0ms (3.6%)

regimes89.0ms (2.4%)

simplify2.0ms (0.1%)

end13.0ms (0.3%)

Profiling

Iter	Nodes	Cost
0	10	14
1	24	11
2	41	11
3	70	11
4	97	11
5	127	11
6	167	11
7	241	11
8	359	11
9	435	11
10	511	11
11	603	11
12	741	11
13	853	11
14	866	11