Details

analyze154.0ms (1.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample1.9s (20.3%)

Results

1.9s	8256×	body	256	valid
1.0ms	7×	body	256	invalid

preprocess24.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

33×	`sub-neg_binary32`
24×	`fma-def_binary32`
21×	`+-commutative_binary32`
13×	`*-commutative_binary32`
12×	`div-sub_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	25	68
1	40	68
2	50	68
3	66	68
4	86	68
5	112	68
6	143	68
7	190	68
8	234	68
9	243	68
10	246	68
0	3	3

Stop Event

1×	saturated
1×	saturated

Calls

Call 1

Inputs
0
1
2

Outputs
0
1
2

Call 2

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 cosTheta_i)))
(.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (cos.f32 (.f32 314159265359/50000000000 u1)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 cosTheta_i)))
(.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (cos.f32 (.f32 314159265359/50000000000 u1)))
(.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (cos.f32 (.f32 u1 314159265359/50000000000)))

Compiler

Compiled 17 to 14 computations (17.6% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`sub-neg_binary32`
7×	`+-commutative_binary32`
6×	`fma-def_binary32`
4×	`*-commutative_binary32`
4×	`div-sub_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	35	17
5	45	17
6	58	17
7	76	17
8	89	17
9	92	17
10	93	17

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

eval1.0ms (0%)

Compiler: Compiled 14 to 11 computations (21.4% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize45.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 39 to 27 computations (30.8% saved)

series13.0ms (0.1%)

Counts

4 → 40

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	u2	@	0	(*.f32 314159265359/50000000000 u2)
1.0ms	u2	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite85.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log-prod_binary32`
403×	`exp-prod_binary32`
324×	`pow-prod-down_binary32`
286×	`pow2_binary32`
271×	`prod-diff_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	37
1	228	37
2	2842	37

Stop Event

1×	node limit

Counts

4 → 153

Calls

Call 1

Inputs
(*.f32 314159265359/50000000000 u2)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 u1 (-.f32 1 u1))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 314159265359/50000000000 u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 314159265359/50000000000 u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 314159265359/50000000000 u2))) 2)) (cbrt.f32 (log.f32 (.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (log.f32 (.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 314159265359/50000000000) u2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 314159265359/50000000000 u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 314159265359/50000000000 u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (.f32 314159265359/50000000000 u2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (.f32 314159265359/50000000000 u2)) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 2)) (cbrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))) (sqrt.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 u1 (/.f32 1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 u1 (-.f32 1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 u1) 2) (.f32 (cbrt.f32 u1) (/.f32 1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (/.f32 1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (neg.f32 u1) (/.f32 1 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 1 (-.f32 1 u1)) u1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4) (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (-.f32 1 u1) -1/2) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (-.f32 1 u1)) -2) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (sqrt.f32 u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 5/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (-.f32 1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (/.f32 1 u1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 (/.f32 1 u1) 1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (cbrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (log.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 u1 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (-.f32 (/.f32 1 u1) 1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 2))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sqrt.f32 u1)) (neg.f32 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 1/2) (log.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sqrt.f32 (-.f32 1 u1)) (sqrt.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (cbrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (sqrt.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 3/2 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 1/4 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1) 1))))))

simplify77.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

633×	`associate-/l/_binary32`
457×	`fma-def_binary32`
386×	`unswap-sqr_binary32`
312×	`associate-/r/_binary32`
299×	`times-frac_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	117	1012
1	347	952
2	1059	865
3	3718	720
4	6885	718

Stop Event

1×	node limit

Counts

193 → 201

Calls

Call 1

Inputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))

Outputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
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(+.f32 (sqrt.f32 -1) (.f32 (+.f32 (/.f32 3/4 u1) 1) (/.f32 -1/2 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 1/2 (.f32 (sqrt.f32 -1) u1)))
(+.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 -1/2 (.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (-.f32 (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)) (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3)))) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (sqrt.f32 -1) (+.f32 (/.f32 -5/16 (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (.f32 (+.f32 (/.f32 3/4 u1) 1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1)))))
(+.f32 (sqrt.f32 -1) (fma.f32 (/.f32 -1/2 (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (+.f32 3/4 (/.f32 5/8 u1)) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(*.f32 (+.f32 (/.f32 1/2 u1) 1) (sqrt.f32 -1))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))) (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))
(+.f32 (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (sqrt.f32 -1) (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 3/8 u1) (+.f32 1/2 (/.f32 5/16 (.f32 u1 u1))))))

eval77.0ms (0.8%)

Compiler: Compiled 3514 to 2780 computations (20.9% saved)

prune49.0ms (0.5%)

Pruning

19 alts after pruning (18 fresh and 1 done)

	Pruned	Kept	Total
New	183	18	201
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	183	19	202

Error

Counts

202 → 19

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.4b	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.9b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
	0.6b	(.f32 (pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.8b	(.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
▶	1.6b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.8b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.2b	(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
▶	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.3b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	3.4b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.3b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	2.8b	(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
▶	5.6b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	6.8b	(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 596 to 479 computations (19.6% saved)

localize58.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
✓	0.4b	(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))

Compiler

Compiled 56 to 33 computations (41.1% saved)

series4.0ms (0%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
1.0ms	u2	@	inf	(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
0.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
0.0ms	u2	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))

rewrite76.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

629×	`log-prod_binary32`
401×	`pow-prod-down_binary32`
346×	`prod-diff_binary32`
326×	`pow2_binary32`
236×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	271	28
2	3335	28

Stop Event

1×	node limit

Counts

3 → 71

Calls

Call 1

Inputs
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))

Inputs

(*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))

(sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (.f32 u2 314159265359/50000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (.f32 u2 u2))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (.f32 u2 u2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 314159265359/50000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u2 314159265359/50000000000)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 314159265359/50000000000)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (.f32 u2 314159265359/50000000000))) 2)) (log.f32 (cbrt.f32 (exp.f32 (.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (.f32 u2 314159265359/50000000000)))) (log.f32 (sqrt.f32 (exp.f32 (.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (.f32 u2 314159265359/50000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 u2 314159265359/50000000000)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 u2 314159265359/50000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) (cbrt.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 2)) (cbrt.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 314159265359/50000000000 u2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 u2)) (sqrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 1 1/2) (.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 u2 314159265359/50000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 u2 314159265359/50000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (.f32 u2 314159265359/50000000000) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (.f32 u2 314159265359/50000000000)) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (*.f32 u2 314159265359/50000000000) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 314159265359/50000000000) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 4)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 98696044010906577398881/2500000000000000000000) (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2)) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 u2 314159265359/50000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 u2 314159265359/50000000000)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (*.f32 u2 314159265359/50000000000))) 2)) (log.f32 (cbrt.f32 (exp.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (*.f32 u2 314159265359/50000000000)))) (log.f32 (sqrt.f32 (exp.f32 (*.f32 u2 314159265359/50000000000)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 314159265359/50000000000)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (*.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 u2 314159265359/50000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) (cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2)) (cbrt.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 314159265359/50000000000 u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 u2)) (sqrt.f32 u2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (*.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 u2 314159265359/50000000000) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000 (pow.f32 u2 4)) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 6) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 u2 314159265359/50000000000)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 u2 314159265359/50000000000)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (*.f32 u2 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 u2 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 u2 314159265359/50000000000)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 u2 314159265359/50000000000) 2)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 u2 314159265359/50000000000)) 1))))))

simplify67.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

768×	`associate-*r/_binary32`
641×	`distribute-lft-out_binary32`
541×	`distribute-rgt-out_binary32`
503×	`associate-/l/_binary32`
434×	`*-commutative_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	83	778
1	228	745
2	668	686
3	2596	586
4	6211	572

Stop Event

1×	node limit

Counts

115 → 100

Calls

Call 1

Inputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 -314159265359/50000000000 u2)
(*.f32 -314159265359/50000000000 u2)
(*.f32 -314159265359/50000000000 u2)
(*.f32 -314159265359/50000000000 u2)

Outputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
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(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) u1)))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
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(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 u2 314159265359/50000000000)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) u1) u1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) u1) (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) u1)) (+.f32 -1/2 (/.f32 -3/8 u1))))
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(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 u2 314159265359/50000000000)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000))))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (sqrt.f32 -1) (/.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) u1) u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 -1/2 (.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (sqrt.f32 -1)) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 u1 3)))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 u1 u1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) u1) (.f32 (+.f32 1 (+.f32 -1/2 (.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2))) (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (pow.f32 u1 3)))))))
(+.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (+.f32 (sqrt.f32 -1) (/.f32 -5/16 (.f32 (sqrt.f32 -1) (pow.f32 u1 3))))) (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (sqrt.f32 -1) u1)) (+.f32 -1/2 (/.f32 -3/8 u1))))
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(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))) u1) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))))
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(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 1/2 (/.f32 (/.f32 u1 (sqrt.f32 -1)) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(.f32 (+.f32 (/.f32 1/2 u1) 1) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000))))
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(fma.f32 1/2 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 u1 (sqrt.f32 -1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 3/8 (/.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 u1 (sqrt.f32 -1))) u1))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 u1 (sqrt.f32 -1))) (+.f32 1/2 (/.f32 3/8 u1))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (/.f32 3/8 u1))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1)))))
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(fma.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))) u1) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 u2 314159265359/50000000000)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000))))))
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(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
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(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 -314159265359/50000000000 u2)
(*.f32 u2 -314159265359/50000000000)
(*.f32 -314159265359/50000000000 u2)
(*.f32 u2 -314159265359/50000000000)
(*.f32 -314159265359/50000000000 u2)
(*.f32 u2 -314159265359/50000000000)
(*.f32 -314159265359/50000000000 u2)
(*.f32 u2 -314159265359/50000000000)

localize21.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	0.2b	(/.f32 u1 (-.f32 1 u1))

Compiler

Compiled 19 to 13 computations (31.6% saved)

localize52.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (-.f32 (/.f32 1 u1) 1))
✓	0.2b	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
	0.3b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 49 to 39 computations (20.4% saved)

series12.0ms (0.1%)

Counts

3 → 36

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u2	@	-inf	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	u1	@	-inf	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(sqrt.f32 (-.f32 (/.f32 1 u1) 1))
1.0ms	u2	@	inf	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite83.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

548×	`log-prod_binary32`
318×	`pow-prod-down_binary32`
299×	`pow2_binary32`
233×	`prod-diff_binary32`
211×	`pow-to-exp_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	38
1	253	36
2	3123	36

Stop Event

1×	node limit

Counts

3 → 111

Calls

Call 1

Inputs
(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 (-.f32 (/.f32 1 u1) 1))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6) (cbrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 -1 (/.f32 1 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (/.f32 1 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2) -1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3) -1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) -3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (neg.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4)) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 -1 (cos.f32 (*.f32 314159265359/50000000000 u2))) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) -1) (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (+.f32 (/.f32 1 u1) -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/6) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4) (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 (pow.f32 u1 -2) -1)) (hypot.f32 1 (pow.f32 u1 -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (+.f32 (pow.f32 u1 -3) -1)) (hypot.f32 (/.f32 1 u1) (hypot.f32 1 (pow.f32 u1 -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (/.f32 1 u1) -1) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2) 1/4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2) -1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 3/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6) -3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) -2)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3/2 (log.f32 (+.f32 (/.f32 1 u1) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 1/4 (log.f32 (+.f32 (/.f32 1 u1) -1))) 2))))))

simplify95.0ms (1%)

Algorithm

1×	egg-herbie

Rules

516×	`times-frac_binary32`
494×	`fma-def_binary32`
486×	`associate-/r*_binary32`
273×	`associate-/l*_binary32`
237×	`associate-l_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	115	1218
1	370	1157
2	1211	1063
3	5446	981

Stop Event

1×	node limit

Counts

147 → 145

Calls

Call 1

Inputs
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (sqrt.f32 -1) (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (.f32 -1/2 (/.f32 (-.f32 1 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))) (.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (-.f32 1 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (+.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (+.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))))))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 -1)
(+.f32 (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))) (sqrt.f32 -1))
(-.f32 (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1)))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))))
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/16 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))))
(sqrt.f32 -1)
(+.f32 (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))) (sqrt.f32 -1))
(-.f32 (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1)))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))))
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/16 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))))

Outputs
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1)))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1)) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1)) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (fma.f32 (/.f32 -1/2 (.f32 u1 u1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (sqrt.f32 -1)) (/.f32 -1/2 (.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (*.f32 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1) 1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 1/2 (.f32 (sqrt.f32 -1) u1)))
(+.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 -1/2 (.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)) (/.f32 (-.f32 1 (fma.f32 1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) 1/2)) (pow.f32 u1 3)))) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (+.f32 (sqrt.f32 -1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))) (.f32 (/.f32 -1/2 (.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) u1) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))))
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1)))
(-.f32 (+.f32 (sqrt.f32 -1) (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1)) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1)) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (fma.f32 (/.f32 -1/2 (.f32 u1 u1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (sqrt.f32 -1)) (/.f32 -1/2 (.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (*.f32 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1) 1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))))
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (.f32 -1/2 (/.f32 (-.f32 1 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))) (.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 1/2 (.f32 (sqrt.f32 -1) u1)))
(+.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 -1/2 (.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)) (/.f32 (-.f32 1 (fma.f32 1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) 1/2)) (pow.f32 u1 3)))) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (+.f32 (sqrt.f32 -1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))) (.f32 (/.f32 -1/2 (.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) u1) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) u1) (sqrt.f32 -1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 u1 u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (+.f32 -1/2 (/.f32 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
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(+.f32 (sqrt.f32 -1) (+.f32 (/.f32 1/2 (.f32 (sqrt.f32 -1) u1)) (/.f32 1/8 (.f32 (sqrt.f32 -1) (*.f32 u1 u1)))))
(+.f32 (/.f32 1/2 (.f32 (sqrt.f32 -1) u1)) (+.f32 (sqrt.f32 -1) (/.f32 1/8 (.f32 (sqrt.f32 -1) (*.f32 u1 u1)))))
(-.f32 (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/16 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))) (.f32 1/8 (/.f32 1 (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))))
(+.f32 (sqrt.f32 -1) (-.f32 (+.f32 (/.f32 1/2 (.f32 (sqrt.f32 -1) u1)) (/.f32 1/16 (.f32 (pow.f32 u1 3) (pow.f32 (sqrt.f32 -1) 5)))) (/.f32 1/8 (.f32 (.f32 u1 u1) (pow.f32 (sqrt.f32 -1) 3)))))
(+.f32 (sqrt.f32 -1) (+.f32 (/.f32 1/2 (.f32 (sqrt.f32 -1) u1)) (-.f32 (/.f32 1/16 (.f32 (pow.f32 u1 3) (pow.f32 (sqrt.f32 -1) 5))) (/.f32 1/8 (.f32 (sqrt.f32 -1) (.f32 -1 (*.f32 u1 u1)))))))
(+.f32 (sqrt.f32 -1) (+.f32 (/.f32 1/16 (.f32 (pow.f32 u1 3) (pow.f32 (sqrt.f32 -1) 5))) (+.f32 (/.f32 1/2 (.f32 (sqrt.f32 -1) u1)) (/.f32 1/8 (.f32 (sqrt.f32 -1) (.f32 u1 u1))))))

localize57.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)
	0.3b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 54 to 40 computations (25.9% saved)

series7.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))
1.0ms	u2	@	inf	(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))
1.0ms	u2	@	0	(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)
1.0ms	u2	@	-inf	(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))
1.0ms	u1	@	0	(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))

rewrite69.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

561×	`log-prod_binary32`
336×	`pow-prod-down_binary32`
306×	`pow2_binary32`
271×	`prod-diff_binary32`
214×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	253	27
2	3072	27

Stop Event

1×	node limit

Counts

2 → 55

Calls

Call 1

Inputs
(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)
(.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1/2 (*.f32 1/2 (cos.f32 (*.f32 2 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 4) (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3/2) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 5) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 (cos.f32 (*.f32 2 (*.f32 314159265359/50000000000 u2))) (cos.f32 (-.f32 (*.f32 314159265359/50000000000 u2) (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 2 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) 3))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (-.f32 (/.f32 1 u1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 u1 (/.f32 (-.f32 1 u1) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 1 u1) (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)) (neg.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) 1) (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) u1) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 u1) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (neg.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (neg.f32 u1)) (neg.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 1 u1) (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 6)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (/.f32 u1 (-.f32 1 u1))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2))))))

simplify52.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

622×	`associate-/l*_binary32`
550×	`times-frac_binary32`
522×	`associate-/r*_binary32`
489×	`fma-neg_binary32`
446×	`fma-def_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	70	716
1	199	676
2	616	623
3	2620	592

Stop Event

1×	node limit

Counts

83 → 86

Calls

Call 1

Inputs
1
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))
(+.f32 1 (+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (+.f32 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) (*.f32 -30764454194421890420260641868300348244775673572228308223720636257018912/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
(.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)))
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))))
(+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2)) (+.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3)) (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 4)))))
(.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))))
(.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))))
(+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1)) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 3))) (+.f32 (.f32 -1 (/.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (pow.f32 u1 2))) (.f32 -1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))))
(/.f32 u1 (-.f32 1 u1))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))
(+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))))
(+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 4) u1) (-.f32 1 u1))) (+.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))) (.f32 -30764454194421890420260641868300348244775673572228308223720636257018912/11250000000000000000000000000000000000000000000000000000000000000000 (/.f32 (.f32 (pow.f32 u2 6) u1) (-.f32 1 u1))))))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))
(/.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) u1) (-.f32 1 u1))

Outputs
1
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
(fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) 1)
(+.f32 1 (+.f32 (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)) (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))
(+.f32 1 (fma.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2))))
(+.f32 (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1) (.f32 9740909103402808085817682884085781839780052161/18750000000000000000000000000000000000000000 (pow.f32 u2 4)))
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localize61.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	0.7b	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)
✓	0.8b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)

Compiler

Compiled 54 to 40 computations (25.9% saved)

series11.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	-inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
2.0ms	u1	@	0	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
1.0ms	u1	@	inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
1.0ms	u2	@	inf	(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	0	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)

rewrite75.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

626×	`log-prod_binary32`
352×	`pow2_binary32`
271×	`prod-diff_binary32`
241×	`pow1/3_binary32`
240×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	38
1	304	36
2	3557	36

Stop Event

1×	node limit

Counts

3 → 69

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 2)) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (log.f32 (sqrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/18) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (pow.f32 (-.f32 1 u1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/18) (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/18))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 u1 1/6) (pow.f32 (-.f32 1 u1) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 1/6 (log.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 1/6 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))))))

simplify88.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

599×	`associate-/r*_binary32`
488×	`associate-/l*_binary32`
435×	`*-commutative_binary32`
411×	`+-commutative_binary32`
249×	`fma-def_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	223	1505
1	704	1376
2	2520	1289
3	6602	1220

Stop Event

1×	node limit

Counts

113 → 117

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (*.f32 1/6 (sqrt.f32 u1))) u1))
(+.f32 (.f32 (+.f32 (.f32 1/18 (sqrt.f32 u1)) (+.f32 (.f32 7/72 (sqrt.f32 u1)) (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6)))) (pow.f32 u1 2)) (+.f32 (sqrt.f32 u1) (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) u1)))
(+.f32 (.f32 (+.f32 (.f32 1/18 (sqrt.f32 u1)) (+.f32 (.f32 7/72 (sqrt.f32 u1)) (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6)))) (pow.f32 u1 2)) (+.f32 (sqrt.f32 u1) (+.f32 (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) u1) (.f32 (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6))) (+.f32 (.f32 91/1296 (sqrt.f32 u1)) (+.f32 (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 91/648 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/216 (pow.f32 (.f32 1 u1) 1/3)))) (.f32 7/216 (sqrt.f32 u1))))) (pow.f32 u1 3)))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/6 (/.f32 (sqrt.f32 -1) u1)) (.f32 1/3 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 (pow.f32 -1 1/6) (/.f32 (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3))) (pow.f32 u1 2))) (+.f32 (.f32 1/18 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 7/72 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/6 (/.f32 (sqrt.f32 -1) u1)) (*.f32 1/3 (/.f32 (sqrt.f32 -1) u1)))))))
(+.f32 (.f32 1/18 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3))) (pow.f32 u1 3)))) (+.f32 (.f32 91/1296 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (.f32 7/72 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 (pow.f32 -1 1/6) (/.f32 (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3))) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/6 (/.f32 (sqrt.f32 -1) u1)) (+.f32 (.f32 1/3 (/.f32 (sqrt.f32 -1) u1)) (+.f32 (.f32 (pow.f32 -1 1/6) (/.f32 (+.f32 (.f32 91/648 (pow.f32 -1 1/3)) (.f32 7/216 (pow.f32 -1 1/3))) (pow.f32 u1 3))) (.f32 7/216 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (sqrt.f32 -1)) (*.f32 -1/3 (sqrt.f32 -1))) u1)))
(+.f32 (.f32 (pow.f32 -1 1/6) (/.f32 (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3))) (pow.f32 u1 2))) (+.f32 (.f32 1/18 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 7/72 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (sqrt.f32 -1)) (.f32 -1/3 (sqrt.f32 -1))) u1))))))
(+.f32 (.f32 7/72 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 1/18 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 (pow.f32 -1 1/6) (/.f32 (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3))) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (sqrt.f32 -1)) (.f32 -1/3 (sqrt.f32 -1))) u1)) (.f32 -1 (/.f32 (+.f32 (.f32 -7/216 (sqrt.f32 -1)) (+.f32 (.f32 -1/6 (.f32 (pow.f32 -1 1/6) (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3))))) (+.f32 (.f32 -91/1296 (sqrt.f32 -1)) (.f32 (pow.f32 -1 1/6) (+.f32 (.f32 -7/216 (pow.f32 -1 1/3)) (.f32 -91/648 (pow.f32 -1 1/3))))))) (pow.f32 u1 3))))))))
(pow.f32 u1 1/6)
(+.f32 (.f32 1/6 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (pow.f32 u1 1/6))
(+.f32 (.f32 1/6 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (+.f32 (.f32 7/72 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (pow.f32 u1 1/6)))
(+.f32 (.f32 91/1296 (pow.f32 (.f32 1 (pow.f32 u1 19)) 1/6)) (+.f32 (.f32 1/6 (pow.f32 (.f32 1 (pow.f32 u1 7)) 1/6)) (+.f32 (.f32 7/72 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/6)) (pow.f32 u1 1/6))))
(pow.f32 -1 1/6)
(+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6))
(+.f32 (.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6)))
(+.f32 (.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (+.f32 (.f32 91/1296 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3)))) (pow.f32 -1 1/6))))
(pow.f32 -1 1/6)
(+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6))
(+.f32 (.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (pow.f32 -1 1/6)))
(+.f32 (.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 2)))) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1))) (+.f32 (.f32 91/1296 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3)))) (pow.f32 -1 1/6))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (-.f32 1 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

Outputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (*.f32 1/6 (sqrt.f32 u1))) u1))
(+.f32 (sqrt.f32 u1) (.f32 u1 (.f32 (sqrt.f32 u1) 1/2)))
(fma.f32 u1 (*.f32 (sqrt.f32 u1) 1/2) (sqrt.f32 u1))
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (pow.f32 u1 3/2)))
(+.f32 (.f32 (+.f32 (.f32 1/18 (sqrt.f32 u1)) (+.f32 (.f32 7/72 (sqrt.f32 u1)) (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6)))) (pow.f32 u1 2)) (+.f32 (sqrt.f32 u1) (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) u1)))
(fma.f32 (fma.f32 1/18 (sqrt.f32 u1) (fma.f32 7/72 (sqrt.f32 u1) (.f32 (.f32 (cbrt.f32 u1) 2/9) (pow.f32 u1 1/6)))) (.f32 u1 u1) (+.f32 (sqrt.f32 u1) (.f32 u1 (*.f32 (sqrt.f32 u1) 1/2))))
(fma.f32 (+.f32 (.f32 (cbrt.f32 u1) (.f32 2/9 (pow.f32 u1 1/6))) (.f32 (sqrt.f32 u1) 11/72)) (.f32 u1 u1) (fma.f32 u1 (*.f32 (sqrt.f32 u1) 1/2) (sqrt.f32 u1)))
(fma.f32 (+.f32 (.f32 2/9 (pow.f32 (pow.f32 u1 1/6) 3)) (.f32 (sqrt.f32 u1) 11/72)) (.f32 u1 u1) (fma.f32 u1 (.f32 (sqrt.f32 u1) 1/2) (sqrt.f32 u1)))
(+.f32 (.f32 1/2 (pow.f32 u1 3/2)) (fma.f32 (+.f32 (.f32 2/9 (pow.f32 (pow.f32 u1 1/6) 3)) (.f32 (sqrt.f32 u1) 11/72)) (.f32 u1 u1) (sqrt.f32 u1)))
(+.f32 (.f32 (+.f32 (.f32 1/18 (sqrt.f32 u1)) (+.f32 (.f32 7/72 (sqrt.f32 u1)) (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6)))) (pow.f32 u1 2)) (+.f32 (sqrt.f32 u1) (+.f32 (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) u1) (.f32 (+.f32 (.f32 1/6 (.f32 (+.f32 (.f32 1/36 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/36 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6))) (+.f32 (.f32 91/1296 (sqrt.f32 u1)) (+.f32 (.f32 (pow.f32 (.f32 1 u1) 1/6) (+.f32 (.f32 91/648 (pow.f32 (.f32 1 u1) 1/3)) (.f32 7/216 (pow.f32 (.f32 1 u1) 1/3)))) (.f32 7/216 (sqrt.f32 u1))))) (pow.f32 u1 3)))))
(fma.f32 (fma.f32 1/18 (sqrt.f32 u1) (fma.f32 7/72 (sqrt.f32 u1) (.f32 (.f32 (cbrt.f32 u1) 2/9) (pow.f32 u1 1/6)))) (.f32 u1 u1) (+.f32 (sqrt.f32 u1) (fma.f32 (.f32 (sqrt.f32 u1) 1/2) u1 (.f32 (fma.f32 1/6 (.f32 (.f32 (cbrt.f32 u1) 2/9) (pow.f32 u1 1/6)) (fma.f32 91/1296 (sqrt.f32 u1) (fma.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) 14/81) (*.f32 (sqrt.f32 u1) 7/216)))) (pow.f32 u1 3)))))
(+.f32 (fma.f32 (fma.f32 1/6 (.f32 (cbrt.f32 u1) (.f32 2/9 (pow.f32 u1 1/6))) (fma.f32 (sqrt.f32 u1) 91/1296 (fma.f32 (sqrt.f32 u1) 7/216 (.f32 (pow.f32 u1 1/6) (.f32 (cbrt.f32 u1) 14/81))))) (pow.f32 u1 3) (.f32 u1 (.f32 (sqrt.f32 u1) 1/2))) (fma.f32 (+.f32 (.f32 (cbrt.f32 u1) (.f32 2/9 (pow.f32 u1 1/6))) (.f32 (sqrt.f32 u1) 11/72)) (.f32 u1 u1) (sqrt.f32 u1)))
(+.f32 (fma.f32 u1 (.f32 (sqrt.f32 u1) 1/2) (sqrt.f32 u1)) (.f32 (.f32 u1 u1) (+.f32 (.f32 u1 (fma.f32 1/6 (.f32 2/9 (pow.f32 (pow.f32 u1 1/6) 3)) (+.f32 (.f32 14/81 (pow.f32 (pow.f32 u1 1/6) 3)) (.f32 (sqrt.f32 u1) 133/1296)))) (+.f32 (.f32 2/9 (pow.f32 (pow.f32 u1 1/6) 3)) (*.f32 (sqrt.f32 u1) 11/72)))))
(+.f32 (fma.f32 (fma.f32 1/6 (.f32 2/9 (pow.f32 (pow.f32 u1 1/6) 3)) (+.f32 (.f32 14/81 (pow.f32 (pow.f32 u1 1/6) 3)) (.f32 (sqrt.f32 u1) 133/1296))) (pow.f32 u1 3) (.f32 1/2 (pow.f32 u1 3/2))) (fma.f32 (+.f32 (.f32 2/9 (pow.f32 (pow.f32 u1 1/6) 3)) (.f32 (sqrt.f32 u1) 11/72)) (*.f32 u1 u1) (sqrt.f32 u1)))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/6 (/.f32 (sqrt.f32 -1) u1)) (.f32 1/3 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) 1/2))
(fma.f32 (/.f32 (sqrt.f32 -1) u1) 1/2 (sqrt.f32 -1))
(*.f32 (sqrt.f32 -1) (-.f32 1 (/.f32 -1/2 u1)))
(+.f32 (.f32 (pow.f32 -1 1/6) (/.f32 (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3))) (pow.f32 u1 2))) (+.f32 (.f32 1/18 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 7/72 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/6 (/.f32 (sqrt.f32 -1) u1)) (*.f32 1/3 (/.f32 (sqrt.f32 -1) u1)))))))
(fma.f32 (pow.f32 -1 1/6) (/.f32 (.f32 (cbrt.f32 -1) 2/9) (.f32 u1 u1)) (fma.f32 1/18 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 7/72 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) 1/2)))))
(fma.f32 (pow.f32 -1 1/6) (.f32 (/.f32 (cbrt.f32 -1) u1) (/.f32 2/9 u1)) (+.f32 (fma.f32 (/.f32 (sqrt.f32 -1) u1) 1/2 (sqrt.f32 -1)) (.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) 11/72)))
(+.f32 (/.f32 (.f32 2/9 (pow.f32 (pow.f32 -1 1/6) 3)) (.f32 u1 u1)) (+.f32 (fma.f32 (/.f32 (sqrt.f32 -1) u1) 1/2 (sqrt.f32 -1)) (/.f32 (.f32 (sqrt.f32 -1) 11/72) (.f32 u1 u1))))
(+.f32 (/.f32 (.f32 2/9 (pow.f32 (pow.f32 -1 1/6) 3)) (.f32 u1 u1)) (+.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (/.f32 -1/2 u1))) (/.f32 (.f32 (sqrt.f32 -1) 11/72) (*.f32 u1 u1))))
(+.f32 (.f32 1/18 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3))) (pow.f32 u1 3)))) (+.f32 (.f32 91/1296 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (.f32 7/72 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 (pow.f32 -1 1/6) (/.f32 (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3))) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/6 (/.f32 (sqrt.f32 -1) u1)) (+.f32 (.f32 1/3 (/.f32 (sqrt.f32 -1) u1)) (+.f32 (.f32 (pow.f32 -1 1/6) (/.f32 (+.f32 (.f32 91/648 (pow.f32 -1 1/3)) (.f32 7/216 (pow.f32 -1 1/3))) (pow.f32 u1 3))) (.f32 7/216 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))))))))
(fma.f32 1/18 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 (.f32 (cbrt.f32 -1) 2/9) (pow.f32 u1 3))) (fma.f32 91/1296 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 7/72 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 (pow.f32 -1 1/6) (/.f32 (.f32 (cbrt.f32 -1) 2/9) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) u1) 1/2) (fma.f32 (pow.f32 -1 1/6) (/.f32 (.f32 (cbrt.f32 -1) 14/81) (pow.f32 u1 3)) (*.f32 7/216 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))))))
(fma.f32 1/18 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (/.f32 (pow.f32 u1 3) 2/9))) (fma.f32 91/1296 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 7/72 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (fma.f32 (/.f32 (sqrt.f32 -1) u1) 1/2 (fma.f32 7/216 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (/.f32 (pow.f32 u1 3) 14/81))))) (fma.f32 (pow.f32 -1 1/6) (*.f32 (/.f32 (cbrt.f32 -1) u1) (/.f32 2/9 u1)) (sqrt.f32 -1)))))))
(fma.f32 1/18 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 1/6 (/.f32 (.f32 2/9 (pow.f32 (pow.f32 -1 1/6) 3)) (pow.f32 u1 3)) (+.f32 (+.f32 (/.f32 (.f32 14/81 (pow.f32 (pow.f32 -1 1/6) 3)) (pow.f32 u1 3)) (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 7/216 (.f32 u1 u1))))) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 7/72 (/.f32 91/1296 u1))) (+.f32 (sqrt.f32 -1) (/.f32 (.f32 2/9 (pow.f32 (pow.f32 -1 1/6) 3)) (*.f32 u1 u1)))))))
(fma.f32 1/18 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 1/6 (/.f32 (.f32 2/9 (pow.f32 (pow.f32 -1 1/6) 3)) (pow.f32 u1 3)) (+.f32 (+.f32 (/.f32 (.f32 14/81 (pow.f32 (pow.f32 -1 1/6) 3)) (pow.f32 u1 3)) (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 7/216 (.f32 u1 u1)) 1/2))) (+.f32 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 7/72 (/.f32 91/1296 u1))) (+.f32 (sqrt.f32 -1) (/.f32 (.f32 2/9 (pow.f32 (pow.f32 -1 1/6) 3)) (*.f32 u1 u1)))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (sqrt.f32 -1)) (*.f32 -1/3 (sqrt.f32 -1))) u1)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) 1/2))
(fma.f32 (/.f32 (sqrt.f32 -1) u1) 1/2 (sqrt.f32 -1))
(*.f32 (sqrt.f32 -1) (-.f32 1 (/.f32 -1/2 u1)))
(+.f32 (.f32 (pow.f32 -1 1/6) (/.f32 (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3))) (pow.f32 u1 2))) (+.f32 (.f32 1/18 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 7/72 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (sqrt.f32 -1)) (.f32 -1/3 (sqrt.f32 -1))) u1))))))
(fma.f32 (pow.f32 -1 1/6) (/.f32 (.f32 (cbrt.f32 -1) 2/9) (.f32 u1 u1)) (fma.f32 1/18 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 7/72 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) 1/2)))))
(fma.f32 (pow.f32 -1 1/6) (.f32 (/.f32 (cbrt.f32 -1) u1) (/.f32 2/9 u1)) (+.f32 (fma.f32 (/.f32 (sqrt.f32 -1) u1) 1/2 (sqrt.f32 -1)) (.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) 11/72)))
(+.f32 (/.f32 (.f32 2/9 (pow.f32 (pow.f32 -1 1/6) 3)) (.f32 u1 u1)) (+.f32 (fma.f32 (/.f32 (sqrt.f32 -1) u1) 1/2 (sqrt.f32 -1)) (/.f32 (.f32 (sqrt.f32 -1) 11/72) (.f32 u1 u1))))
(+.f32 (/.f32 (.f32 2/9 (pow.f32 (pow.f32 -1 1/6) 3)) (.f32 u1 u1)) (+.f32 (.f32 (sqrt.f32 -1) (-.f32 1 (/.f32 -1/2 u1))) (/.f32 (.f32 (sqrt.f32 -1) 11/72) (*.f32 u1 u1))))
(+.f32 (.f32 7/72 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 1/18 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 (pow.f32 -1 1/6) (/.f32 (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3))) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -1/6 (sqrt.f32 -1)) (.f32 -1/3 (sqrt.f32 -1))) u1)) (.f32 -1 (/.f32 (+.f32 (.f32 -7/216 (sqrt.f32 -1)) (+.f32 (.f32 -1/6 (.f32 (pow.f32 -1 1/6) (+.f32 (.f32 1/36 (pow.f32 -1 1/3)) (.f32 7/36 (pow.f32 -1 1/3))))) (+.f32 (.f32 -91/1296 (sqrt.f32 -1)) (.f32 (pow.f32 -1 1/6) (+.f32 (.f32 -7/216 (pow.f32 -1 1/3)) (.f32 -91/648 (pow.f32 -1 1/3))))))) (pow.f32 u1 3))))))))
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(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (sqrt.f32 -1))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (.f32 (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (pow.f32 u1 3)))))))
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(+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 -1/2 u1) (.f32 -1/2 (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)) (/.f32 (-.f32 1 (+.f32 1/2 (*.f32 1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (pow.f32 u1 3)))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 6)))))
(+.f32 (.f32 (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 (.f32 u2 u2) (+.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (+.f32 1 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))) (.f32 (.f32 u2 u2) (+.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

eval671.0ms (7.1%)

Compiler: Compiled 14611 to 11748 computations (19.6% saved)

prune272.0ms (2.9%)

Pruning

23 alts after pruning (21 fresh and 2 done)

	Pruned	Kept	Total
New	778	16	794
Fresh	8	5	13
Picked	1	0	1
Done	3	2	5
Total	790	23	813

Error

Counts

813 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	6.3b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
	0.9b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 314159265359/50000000000 u2)))))))
▶	0.3b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	5.7b	(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
	7.3b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
▶	10.8b	(sqrt.f32 u1)
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.9b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
	2.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
	5.6b	(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
	0.3b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	5.6b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
▶	5.7b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	6.8b	(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	3.6b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1)))
	0.4b	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	5.9b	(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
	5.6b	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
	5.6b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
▶	0.3b	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 615 to 502 computations (18.4% saved)

localize179.0ms (1.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(-.f32 (/.f32 1 u1) 1)
✓	0.1b	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
✓	0.2b	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 42 to 33 computations (21.4% saved)

series7.0ms (0.1%)

Counts

3 → 35

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	inf	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
1.0ms	u2	@	inf	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	0	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
1.0ms	u1	@	0	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	inf	(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite79.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

521×	`log-prod_binary32`
303×	`pow2_binary32`
294×	`pow-prod-down_binary32`
221×	`prod-diff_binary32`
210×	`expm1-udef_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	35
1	255	35
2	3012	35

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

Inputs
(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(-.f32 (/.f32 1 u1) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (*.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1) 1))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1)) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) -1) (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 2 (log.f32 (+.f32 (/.f32 1 u1) -1))) -1/4))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/6)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 -1/4 (log.f32 (+.f32 (/.f32 1 u1) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) -1/2)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) -1/4) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 1 u1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (+.f32 (/.f32 1 u1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 -1 (/.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1))) 2)) (log.f32 (cbrt.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1)))) (log.f32 (sqrt.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (+.f32 (/.f32 1 u1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (+.f32 (/.f32 1 u1) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2)) (cbrt.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x 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-2) -1) (+.f32 1 (/.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 u1 -3) -1)) (neg.f32 (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (+.f32 (pow.f32 u1 -2) -1)) (neg.f32 (+.f32 1 (/.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (+.f32 (/.f32 1 u1) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 (pow.f32 u1 -2) (+.f32 1 (/.f32 1 u1))) (+.f32 (pow.f32 u1 -3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 1 (/.f32 1 u1)) (+.f32 (pow.f32 u1 -2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (+.f32 (/.f32 1 u1) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (+.f32 (/.f32 1 u1) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (neg.f32 (log.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (*.f32 (log.f32 u1) -1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (*.f32 (neg.f32 (log.f32 u1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (+.f32 (/.f32 1 u1) -1))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (+.f32 (/.f32 1 u1) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 (log.f32 (+.f32 (/.f32 1 u1) -1)) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (/.f32 1 u1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 1 u1) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (/.f32 1 (cbrt.f32 u1)) (cbrt.f32 (pow.f32 u1 -2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 u1 -2)) (/.f32 1 (cbrt.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (cbrt.f32 (pow.f32 u1 -2)) (*.f32 (/.f32 1 (cbrt.f32 u1)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 u1 -1/2) (pow.f32 u1 -1/2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 u1 -1/2) (*.f32 (pow.f32 u1 -1/2) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -1 (/.f32 1 (neg.f32 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 u1) -2) (/.f32 1 (cbrt.f32 u1)) -1)))))

simplify74.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

625×	`associate-/l/_binary32`
417×	`times-frac_binary32`
412×	`fma-def_binary32`
290×	`associate-/r/_binary32`
272×	`div-sub_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	996
1	306	935
2	945	831
3	4096	681
4	7139	681

Stop Event

1×	node limit

Counts

131 → 131

Calls

Call 1

Inputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (-.f32 1 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (+.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (+.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))))))))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))
(+.f32 (.f32 5/16 (sqrt.f32 (pow.f32 u1 7))) (+.f32 (sqrt.f32 u1) (+.f32 (.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(/.f32 1 u1)
-1
-1

Outputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
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(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (+.f32 -1/2 (/.f32 -3/8 u1))))
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(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (pow.f32 u1 3)))))))
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(+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (+.f32 (/.f32 -1/2 u1) (+.f32 (/.f32 -3/8 (*.f32 u1 u1)) (/.f32 -5/16 (pow.f32 u1 3))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 1 (pow.f32 (/.f32 1/2 (sqrt.f32 -1)) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (+.f32 -1/2 (/.f32 -3/8 u1))))
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(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
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(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
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(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 (/.f32 1 u1) -1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 1 (+.f32 -1 (/.f32 1 u1)))))
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))
(fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))
(fma.f32 1/2 (pow.f32 u1 3/2) (sqrt.f32 u1))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))
(+.f32 (sqrt.f32 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))))
(fma.f32 1/2 (pow.f32 u1 3/2) (fma.f32 3/8 (pow.f32 u1 5/2) (sqrt.f32 u1)))
(+.f32 (.f32 5/16 (sqrt.f32 (pow.f32 u1 7))) (+.f32 (sqrt.f32 u1) (+.f32 (.f32 1/2 (sqrt.f32 (pow.f32 u1 3))) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5))))))
(fma.f32 5/16 (sqrt.f32 (pow.f32 u1 7)) (+.f32 (sqrt.f32 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5))))))
(+.f32 (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (*.f32 3/8 (sqrt.f32 (pow.f32 u1 5)))) (fma.f32 5/16 (sqrt.f32 (pow.f32 u1 7)) (sqrt.f32 u1)))
(fma.f32 5/16 (pow.f32 u1 7/2) (fma.f32 1/2 (pow.f32 u1 3/2) (fma.f32 3/8 (pow.f32 u1 5/2) (sqrt.f32 u1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(*.f32 (+.f32 (/.f32 1/2 u1) 1) (sqrt.f32 -1))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))) (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))
(+.f32 (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (sqrt.f32 -1) (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 3/8 u1) (+.f32 1/2 (/.f32 5/16 (.f32 u1 u1))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(*.f32 (+.f32 (/.f32 1/2 u1) 1) (sqrt.f32 -1))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))) (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))))
(+.f32 (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (sqrt.f32 -1) (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 3/8 u1) (+.f32 1/2 (/.f32 5/16 (.f32 u1 u1))))))
(/.f32 1 u1)
-1
-1

localize6.0ms (0.1%)

Compiler: Compiled 6 to 4 computations (33.3% saved)

localize48.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(-.f32 1 (*.f32 u1 u1))
✓	0.1b	(/.f32 u1 (-.f32 1 (*.f32 u1 u1)))
✓	0.1b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
✓	0.4b	(.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))

Compiler

Compiled 46 to 25 computations (45.7% saved)

series5.0ms (0.1%)

Counts

4 → 44

Calls

12 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	inf	(/.f32 u1 (-.f32 1 (*.f32 u1 u1)))
0.0ms	u1	@	inf	(.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))
0.0ms	u1	@	-inf	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
0.0ms	u1	@	inf	(-.f32 1 (*.f32 u1 u1))
0.0ms	u1	@	0	(.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))

rewrite90.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

677×	`prod-diff_binary32`
511×	`log-prod_binary32`
305×	`fma-def_binary32`
259×	`pow2_binary32`
191×	`pow-unpow_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	51
1	208	33
2	3054	33

Stop Event

1×	node limit

Counts

4 → 225

Calls

Call 1

Inputs
(.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(/.f32 u1 (-.f32 1 (*.f32 u1 u1)))
(-.f32 1 (*.f32 u1 u1))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (/.f32 u1 (-.f32 (/.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (/.f32 u1 (-.f32 (/.f32 1 u1) u1)) (/.f32 u1 (-.f32 1 (.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 (/.f32 u1 (-.f32 (/.f32 1 u1) u1)) 1) (/.f32 u1 (-.f32 1 (.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 u1 (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 1 (.f32 u1 u1)) (fma.f32 u1 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 u1 3)) (.f32 (-.f32 (/.f32 1 u1) u1) (-.f32 (fma.f32 u1 u1 1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 u1 u1 -1) (.f32 (-.f32 (/.f32 1 u1) u1) (+.f32 u1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 u1 u1 u1) (-.f32 1 (.f32 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (fma.f32 u1 u1 u1)) (neg.f32 (-.f32 1 (.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u1 (+.f32 1 (pow.f32 u1 3))) (.f32 (-.f32 1 (.f32 u1 u1)) (-.f32 (fma.f32 u1 u1 1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 u1) (+.f32 1 (pow.f32 u1 3))) (.f32 (neg.f32 (-.f32 1 (.f32 u1 u1))) (-.f32 (fma.f32 u1 u1 1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 u1 (fma.f32 u1 u1 -1)) (.f32 (-.f32 1 (.f32 u1 u1)) (+.f32 u1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (neg.f32 u1) (fma.f32 u1 u1 -1)) (.f32 (neg.f32 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 1 (pow.f32 u1 3)) u1) (.f32 (-.f32 (fma.f32 u1 u1 1) u1) (-.f32 1 (.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (fma.f32 u1 u1 -1) u1) (.f32 (+.f32 u1 -1) (-.f32 1 (.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 1 (pow.f32 u1 3)) 1) (.f32 (-.f32 (fma.f32 u1 u1 1) u1) (-.f32 (/.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (fma.f32 u1 u1 -1) 1) (.f32 (+.f32 u1 -1) (-.f32 (/.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 1 (pow.f32 u1 3)) (neg.f32 u1)) (.f32 (-.f32 (fma.f32 u1 u1 1) u1) (neg.f32 (-.f32 1 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (fma.f32 u1 u1 -1) (neg.f32 u1)) (.f32 (+.f32 u1 -1) (neg.f32 (-.f32 1 (.f32 u1 u1)))))))) 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(neg.f32 u1) (+.f32 u1 1)) (neg.f32 (-.f32 1 (.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 1 (pow.f32 u1 3)) (/.f32 u1 (-.f32 1 (.f32 u1 u1)))) (-.f32 (fma.f32 u1 u1 1) u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (fma.f32 u1 u1 -1) (/.f32 u1 (-.f32 1 (.f32 u1 u1)))) (+.f32 u1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 1 (pow.f32 u1 3))) (-.f32 (fma.f32 u1 u1 1) u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (fma.f32 u1 u1 -1)) (+.f32 u1 -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (.f32 (+.f32 u1 1) (neg.f32 u1)) (neg.f32 (-.f32 1 (.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (-.f32 1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) -3) (pow.f32 (+.f32 u1 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (.f32 (pow.f32 (+.f32 u1 1) 3) (pow.f32 (-.f32 (/.f32 1 u1) u1) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 1 (.f32 u1 u1)) (fma.f32 u1 u1 u1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (exp.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1)))) (exp.f32 (/.f32 u1 (-.f32 (/.f32 1 u1) u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))))) (exp.f32 (/.f32 u1 (-.f32 (/.f32 1 u1) u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (.f32 (exp.f32 (/.f32 u1 (-.f32 (/.f32 1 u1) u1))) (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) -3) (pow.f32 (+.f32 u1 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (.f32 (pow.f32 (+.f32 u1 1) 3) (pow.f32 (-.f32 (/.f32 1 u1) u1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 (/.f32 1 u1) u1) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f32 (/.f32 u1 (neg.f32 (-.f32 1 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) u1) -3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 (.f32 u1 u1)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (neg.f32 (log.f32 (-.f32 (/.f32 1 u1) u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (neg.f32 (log.f32 (-.f32 (/.f32 1 u1) u1))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (.f32 u1 (neg.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 1 (.f32 (.f32 u1 (neg.f32 u1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (-.f32 1 (.f32 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (.f32 u1 (neg.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (-.f32 1 (.f32 u1 u1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (-.f32 1 (.f32 u1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (-.f32 1 (.f32 u1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (-.f32 1 (.f32 u1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (-.f32 1 (.f32 u1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 (.f32 u1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (-.f32 1 (.f32 u1 u1))) (pow.f32 (cbrt.f32 (-.f32 1 (.f32 u1 u1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cbrt.f32 (-.f32 1 (.f32 u1 u1))) 2) (cbrt.f32 (-.f32 1 (.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (sqrt.f32 (-.f32 1 (.f32 u1 u1))) (sqrt.f32 (-.f32 1 (.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 (pow.f32 u1 6)) (/.f32 1 (+.f32 1 (fma.f32 u1 u1 (pow.f32 u1 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (-.f32 1 (pow.f32 u1 4)) (/.f32 1 (fma.f32 u1 u1 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (+.f32 1 (fma.f32 u1 u1 (pow.f32 u1 4))) (-.f32 1 (pow.f32 u1 6))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (fma.f32 u1 u1 1) (-.f32 1 (pow.f32 u1 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (pow.f32 u1 6)) (+.f32 1 (fma.f32 u1 u1 (pow.f32 u1 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (pow.f32 u1 4)) (fma.f32 u1 u1 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 1 (pow.f32 u1 6))) (neg.f32 (+.f32 1 (fma.f32 u1 u1 (pow.f32 u1 4)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (-.f32 1 (pow.f32 u1 4))) (neg.f32 (fma.f32 u1 u1 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (+.f32 1 (pow.f32 (.f32 u1 (neg.f32 u1)) 3)) (+.f32 1 (-.f32 (pow.f32 (.f32 u1 (neg.f32 u1)) 2) (.f32 u1 (neg.f32 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (-.f32 1 (pow.f32 (.f32 u1 (neg.f32 u1)) 2)) (-.f32 1 (.f32 u1 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (-.f32 1 (.f32 u1 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 1 (.f32 u1 u1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (-.f32 1 (.f32 u1 u1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (-.f32 1 (.f32 u1 u1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (-.f32 1 (.f32 u1 u1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (+.f32 1 (fma.f32 u1 u1 (pow.f32 u1 4))) (-.f32 1 (pow.f32 u1 6))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (fma.f32 u1 u1 1) (-.f32 1 (pow.f32 u1 4))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (-.f32 1 (.f32 u1 u1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (-.f32 1 (.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (-.f32 1 (.f32 u1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (-.f32 1 (.f32 u1 u1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (-.f32 1 (.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (-.f32 1 (.f32 u1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log1p.f32 (.f32 u1 (neg.f32 u1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 u1 (neg.f32 u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 1 (.f32 u1 (neg.f32 u1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 u1) 4) (neg.f32 (pow.f32 (cbrt.f32 u1) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (neg.f32 u1) u1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (pow.f32 (cbrt.f32 (.f32 u1 (neg.f32 u1))) 2) (cbrt.f32 (.f32 u1 (neg.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (sqrt.f32 (.f32 u1 (neg.f32 u1))) (sqrt.f32 (.f32 u1 (neg.f32 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 -1 (.f32 u1 u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (neg.f32 u1) 1) u1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (neg.f32 (pow.f32 (cbrt.f32 u1) 4)) (pow.f32 (cbrt.f32 u1) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (neg.f32 u1) (pow.f32 (cbrt.f32 u1) 2)) (cbrt.f32 u1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f32 (.f32 (neg.f32 u1) (sqrt.f32 u1)) (sqrt.f32 u1) 1)))))

simplify50.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

644×	`associate-/r*_binary32`
595×	`times-frac_binary32`
420×	`associate-/l*_binary32`
336×	`associate-l_binary32`
297×	`associate-r_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	81	652
1	238	595
2	729	569
3	2260	520

Stop Event

1×	node limit

Counts

269 → 270

Calls

Call 1

Inputs
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
u1
(+.f32 (pow.f32 u1 3) u1)
(+.f32 (pow.f32 u1 5) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (pow.f32 u1 7) (+.f32 (pow.f32 u1 5) (+.f32 (pow.f32 u1 3) u1)))
(/.f32 -1 u1)
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 5)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 5)) (+.f32 (/.f32 1 (pow.f32 u1 7)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(/.f32 -1 u1)
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 5)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 5)) (+.f32 (/.f32 1 (pow.f32 u1 7)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
1
(+.f32 1 (*.f32 -1 (pow.f32 u1 2)))
(+.f32 1 (*.f32 -1 (pow.f32 u1 2)))
(+.f32 1 (*.f32 -1 (pow.f32 u1 2)))
(*.f32 -1 (pow.f32 u1 2))
(+.f32 1 (*.f32 -1 (pow.f32 u1 2)))
(+.f32 1 (*.f32 -1 (pow.f32 u1 2)))
(+.f32 1 (*.f32 -1 (pow.f32 u1 2)))
(*.f32 -1 (pow.f32 u1 2))
(+.f32 1 (*.f32 -1 (pow.f32 u1 2)))
(+.f32 1 (*.f32 -1 (pow.f32 u1 2)))
(+.f32 1 (*.f32 -1 (pow.f32 u1 2)))

Outputs
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3)))
(+.f32 u1 (fma.f32 u1 u1 (pow.f32 u1 3)))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (*.f32 u1 u1) (+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 4)))
(+.f32 (+.f32 u1 (pow.f32 u1 3)) (fma.f32 u1 u1 (pow.f32 u1 4)))
(*.f32 (fma.f32 u1 u1 1) (fma.f32 u1 u1 u1))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 1))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(-.f32 -1 (/.f32 1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 (-.f32 -1 (/.f32 1 u1)) (/.f32 -1 (*.f32 u1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(neg.f32 (+.f32 (+.f32 1 (/.f32 1 (*.f32 u1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 -1 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(+.f32 (+.f32 (-.f32 -1 (/.f32 1 u1)) (/.f32 -1 (*.f32 u1 u1))) (/.f32 -1 (pow.f32 u1 3)))
(+.f32 (-.f32 -1 (/.f32 1 u1)) (+.f32 (/.f32 -1 (pow.f32 u1 3)) (/.f32 -1 (*.f32 u1 u1))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(-.f32 -1 (/.f32 1 u1))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1))))
(+.f32 -1 (neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1)))))
(-.f32 -1 (+.f32 (/.f32 1 u1) (/.f32 1 (*.f32 u1 u1))))
(+.f32 (-.f32 -1 (/.f32 1 u1)) (/.f32 -1 (*.f32 u1 u1)))
(neg.f32 (+.f32 1 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(neg.f32 (+.f32 (+.f32 1 (/.f32 1 (*.f32 u1 u1))) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 -1 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(+.f32 (+.f32 (-.f32 -1 (/.f32 1 u1)) (/.f32 -1 (*.f32 u1 u1))) (/.f32 -1 (pow.f32 u1 3)))
(+.f32 (-.f32 -1 (/.f32 1 u1)) (+.f32 (/.f32 -1 (pow.f32 u1 3)) (/.f32 -1 (*.f32 u1 u1))))
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1))))
(-.f32 (sqrt.f32 -1) (/.f32 (/.f32 1/2 u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1)))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (.f32 u1 u1) (sqrt.f32 -1))) (sqrt.f32 -1)) (/.f32 1/2 (*.f32 u1 (sqrt.f32 -1))))
(+.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (sqrt.f32 -1)) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1))))
(+.f32 (sqrt.f32 -1) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (/.f32 -1/2 (*.f32 u1 (sqrt.f32 -1)))))
(+.f32 (sqrt.f32 -1) (*.f32 (+.f32 (/.f32 3/4 u1) 1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (.f32 u1 u1) (sqrt.f32 -1))) (sqrt.f32 -1))) (/.f32 1/2 (.f32 u1 (sqrt.f32 -1))))
(+.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (.f32 (pow.f32 u1 3) (sqrt.f32 -1))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 (.f32 u1 (sqrt.f32 -1)))) (sqrt.f32 -1))) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1))))
(+.f32 (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (.f32 u1 (sqrt.f32 -1)))) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (*.f32 u1 u1)) (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3)))))
(+.f32 (+.f32 (sqrt.f32 -1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))) (*.f32 (/.f32 (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1)) u1) (+.f32 3/4 (/.f32 5/8 u1))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(*.f32 (+.f32 (/.f32 1/2 u1) 1) (sqrt.f32 -1))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (.f32 3/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 3/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 (sqrt.f32 -1) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (/.f32 1/2 (/.f32 u1 (sqrt.f32 -1)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (sqrt.f32 -1)))
(+.f32 (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (sqrt.f32 -1) (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 (/.f32 5/16 (.f32 u1 u1)) (+.f32 1/2 (/.f32 3/8 u1)))))
u1
(+.f32 (pow.f32 u1 3) u1)
(+.f32 u1 (pow.f32 u1 3))
(+.f32 (pow.f32 u1 5) (+.f32 (pow.f32 u1 3) u1))
(+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 5))
(fma.f32 (fma.f32 u1 u1 1) u1 (pow.f32 u1 5))
(+.f32 (pow.f32 u1 7) (+.f32 (pow.f32 u1 5) (+.f32 (pow.f32 u1 3) u1)))
(+.f32 (+.f32 (+.f32 u1 (pow.f32 u1 3)) (pow.f32 u1 5)) (pow.f32 u1 7))
(+.f32 (+.f32 u1 (pow.f32 u1 3)) (+.f32 (pow.f32 u1 5) (pow.f32 u1 7)))
(+.f32 (pow.f32 u1 5) (fma.f32 (fma.f32 u1 u1 1) u1 (pow.f32 u1 7)))
(/.f32 -1 u1)
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))
(neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))
(+.f32 (/.f32 -1 (pow.f32 u1 3)) (/.f32 -1 u1))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 5)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))
(neg.f32 (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))) (/.f32 1 (pow.f32 u1 5))))
(+.f32 (+.f32 (/.f32 -1 (pow.f32 u1 3)) (/.f32 -1 u1)) (/.f32 -1 (pow.f32 u1 5)))
(+.f32 (/.f32 -1 (pow.f32 u1 3)) (-.f32 (/.f32 -1 u1) (/.f32 1 (pow.f32 u1 5))))
(+.f32 (/.f32 -1 (pow.f32 u1 3)) (+.f32 (/.f32 -1 (pow.f32 u1 5)) (/.f32 -1 u1)))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 5)) (+.f32 (/.f32 1 (pow.f32 u1 7)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(neg.f32 (+.f32 (+.f32 (/.f32 1 (pow.f32 u1 5)) (/.f32 1 (pow.f32 u1 7))) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (/.f32 -1 (pow.f32 u1 5)) (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 (pow.f32 u1 7)))))
(+.f32 (+.f32 (/.f32 -1 (pow.f32 u1 3)) (/.f32 -1 u1)) (+.f32 (/.f32 -1 (pow.f32 u1 5)) (/.f32 -1 (pow.f32 u1 7))))
(/.f32 -1 u1)
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))
(neg.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))))
(+.f32 (/.f32 -1 (pow.f32 u1 3)) (/.f32 -1 u1))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 5)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))
(neg.f32 (+.f32 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3))) (/.f32 1 (pow.f32 u1 5))))
(+.f32 (+.f32 (/.f32 -1 (pow.f32 u1 3)) (/.f32 -1 u1)) (/.f32 -1 (pow.f32 u1 5)))
(+.f32 (/.f32 -1 (pow.f32 u1 3)) (-.f32 (/.f32 -1 u1) (/.f32 1 (pow.f32 u1 5))))
(+.f32 (/.f32 -1 (pow.f32 u1 3)) (+.f32 (/.f32 -1 (pow.f32 u1 5)) (/.f32 -1 u1)))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 5)) (+.f32 (/.f32 1 (pow.f32 u1 7)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(neg.f32 (+.f32 (+.f32 (/.f32 1 (pow.f32 u1 5)) (/.f32 1 (pow.f32 u1 7))) (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (/.f32 -1 (pow.f32 u1 5)) (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 (pow.f32 u1 7)))))
(+.f32 (+.f32 (/.f32 -1 (pow.f32 u1 3)) (/.f32 -1 u1)) (+.f32 (/.f32 -1 (pow.f32 u1 5)) (/.f32 -1 (pow.f32 u1 7))))
1
(+.f32 1 (*.f32 -1 (pow.f32 u1 2)))
(+.f32 1 (neg.f32 (*.f32 u1 u1)))
(-.f32 1 (*.f32 u1 u1))
(+.f32 1 (*.f32 -1 (pow.f32 u1 2)))
(+.f32 1 (neg.f32 (*.f32 u1 u1)))
(-.f32 1 (*.f32 u1 u1))
(+.f32 1 (*.f32 -1 (pow.f32 u1 2)))
(+.f32 1 (neg.f32 (*.f32 u1 u1)))
(-.f32 1 (*.f32 u1 u1))
(*.f32 -1 (pow.f32 u1 2))
(neg.f32 (*.f32 u1 u1))
(*.f32 u1 (neg.f32 u1))
(+.f32 1 (*.f32 -1 (pow.f32 u1 2)))
(+.f32 1 (neg.f32 (*.f32 u1 u1)))
(-.f32 1 (*.f32 u1 u1))
(+.f32 1 (*.f32 -1 (pow.f32 u1 2)))
(+.f32 1 (neg.f32 (*.f32 u1 u1)))
(-.f32 1 (*.f32 u1 u1))
(+.f32 1 (*.f32 -1 (pow.f32 u1 2)))
(+.f32 1 (neg.f32 (*.f32 u1 u1)))
(-.f32 1 (*.f32 u1 u1))
(*.f32 -1 (pow.f32 u1 2))
(neg.f32 (*.f32 u1 u1))
(*.f32 u1 (neg.f32 u1))
(+.f32 1 (*.f32 -1 (pow.f32 u1 2)))
(+.f32 1 (neg.f32 (*.f32 u1 u1)))
(-.f32 1 (*.f32 u1 u1))
(+.f32 1 (*.f32 -1 (pow.f32 u1 2)))
(+.f32 1 (neg.f32 (*.f32 u1 u1)))
(-.f32 1 (*.f32 u1 u1))
(+.f32 1 (*.f32 -1 (pow.f32 u1 2)))
(+.f32 1 (neg.f32 (*.f32 u1 u1)))
(-.f32 1 (*.f32 u1 u1))

localize56.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) 1)
✓	0.1b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1)))
✓	0.1b	(.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1))
	0.2b	(/.f32 u1 (-.f32 1 u1))

Compiler

Compiled 49 to 29 computations (40.8% saved)

series15.0ms (0.2%)

Counts

3 → 56

Calls

15 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	0	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1)))
2.0ms	u1	@	-inf	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1)))
2.0ms	u1	@	inf	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1)))
2.0ms	u2	@	inf	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1)))
1.0ms	u2	@	inf	(.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1))

rewrite93.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

533×	`log-prod_binary32`
402×	`exp-prod_binary32`
342×	`pow-prod-down_binary32`
287×	`pow2_binary32`
200×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	44
1	232	44
2	2946	44

Stop Event

1×	node limit

Counts

3 → 118

Calls

Call 1

Inputs

(*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) 1))

(sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) 1)))

(fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) 1)

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (*.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2) (/.f32 u1 (-.f32 1 u1))) (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (*.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2)) (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1)))) 2)) (log.f32 (cbrt.f32 (exp.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1))))) (log.f32 (sqrt.f32 (exp.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 u1 (/.f32 (-.f32 1 u1) (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (-.f32 1 u1) (*.f32 u1 (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1) (-.f32 (/.f32 1 u1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 u1 (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1)) (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (*.f32 u1 (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1))) (neg.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 u1 (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1)) 1) (-.f32 1 u1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 u1 (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1)) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (/.f32 (*.f32 u1 (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1)) (sqrt.f32 (-.f32 1 u1))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (neg.f32 u1) (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1)) (neg.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1) (neg.f32 u1)) (neg.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (E.f32) (log.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1)) 3/2) 2/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1)) 1/6) 6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1)) 1/4) 4)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 (-.f32 1 u1) (*.f32 u1 (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (exp.f32 (pow.f32 (cbrt.f32 (log.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2 1)))) 2)) (cbrt.f32 (log.f32 (*.f32 (/.f32 u1 (-.f32 1 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simplify73.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

630×	`associate-l_binary32`
582×	`associate-r_binary32`
531×	`associate-/r*_binary32`
508×	`times-frac_binary32`
308×	`associate-+l+_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	153	2103
1	482	1763
2	1803	1542

Stop Event

1×	node limit

Counts

174 → 181

Calls

Call 1

Inputs
(.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1)
(+.f32 (.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2)) (.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1))
(+.f32 (.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2)) (+.f32 (.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 3)) (.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1)))
(+.f32 (.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2)) (+.f32 (.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 4)) (+.f32 (.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 3)) (.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1))))
(.f32 -1 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))
(+.f32 (.f32 -1 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (.f32 -1 (/.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1)))
(+.f32 (.f32 -1 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2))) (.f32 -1 (/.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1))))
(+.f32 (.f32 -1 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 3))) (+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2))) (.f32 -1 (/.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1)))))
(.f32 -1 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))
(+.f32 (.f32 -1 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (.f32 -1 (/.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1)))
(+.f32 (.f32 -1 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2))) (.f32 -1 (/.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1))))
(+.f32 (.f32 -1 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 3))) (+.f32 (.f32 -1 (/.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2))) (.f32 -1 (/.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1)))))
(/.f32 u1 (-.f32 1 u1))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))
(.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))
(.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1)))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))
(+.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 -98696044010906577398881/2500000000000000000000 (/.f32 (.f32 (pow.f32 u2 2) u1) (-.f32 1 u1))))
(.f32 (sqrt.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (sqrt.f32 -1))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (/.f32 1 (.f32 (sqrt.f32 -1) u1)))) (.f32 (sqrt.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (sqrt.f32 -1)))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))) (/.f32 (+.f32 1 (+.f32 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) (pow.f32 (.f32 -1/2 (.f32 (sqrt.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (/.f32 1 (.f32 (sqrt.f32 -1) u1)))) (.f32 (sqrt.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (sqrt.f32 -1))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))) (/.f32 (+.f32 1 (+.f32 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) (pow.f32 (.f32 -1/2 (.f32 (sqrt.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2))))) (+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (/.f32 1 (.f32 (sqrt.f32 -1) u1)))) (+.f32 (.f32 (sqrt.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (sqrt.f32 -1)) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))) (/.f32 (+.f32 1 (+.f32 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) (.f32 1/2 (/.f32 (+.f32 1 (+.f32 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) (pow.f32 (.f32 -1/2 (.f32 (sqrt.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (/.f32 1 (sqrt.f32 -1)))) 2))) (pow.f32 (sqrt.f32 -1) 2))))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))))))))
(.f32 (sqrt.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (sqrt.f32 -1))
(+.f32 (.f32 1/2 (.f32 (sqrt.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (/.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 (+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (sqrt.f32 -1)))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))) (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (pow.f32 (.f32 -1/2 (sqrt.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))) 2) (.f32 -1 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))))) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (/.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 (+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (sqrt.f32 -1))))
(+.f32 (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))) (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (pow.f32 (.f32 -1/2 (sqrt.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))) 2) (.f32 -1 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))))) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (.f32 (sqrt.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (/.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 (sqrt.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (sqrt.f32 -1)) (.f32 1/2 (.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))) (/.f32 (.f32 (sqrt.f32 -1) (+.f32 1 (+.f32 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)) (.f32 1/2 (+.f32 (pow.f32 (.f32 -1/2 (sqrt.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))) 2) (.f32 -1 (+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))))))) (pow.f32 u1 3)))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -9740909103402808085817682884085781839780052161/50000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -9740909103402808085817682884085781839780052161/50000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(.f32 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 1/2 (.f32 (/.f32 1 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -1/8 (.f32 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 1/2 (.f32 (/.f32 1 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 -1/8 (.f32 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 1/2 (.f32 (/.f32 1 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 1/16 (.f32 (/.f32 1 (.f32 (pow.f32 u2 5) (pow.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) 5))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(.f32 -1 (.f32 (*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -1 (.f32 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -1/2 (.f32 (/.f32 1 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 -1 (.f32 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 1/8 (.f32 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -1/2 (.f32 (/.f32 1 (*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (.f32 -1/16 (.f32 (/.f32 1 (.f32 (pow.f32 u2 5) (pow.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) 5))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -1 (.f32 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 1/8 (.f32 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -1/2 (.f32 (/.f32 1 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
1
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))

Outputs
(.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1)
(.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))) u1)
(.f32 (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1) u1)
(+.f32 (.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2)) (.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1))
(.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2))) (+.f32 (.f32 u1 u1) u1))
(.f32 (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1) (fma.f32 u1 u1 u1))
(+.f32 (.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2)) (+.f32 (.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 3)) (.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1)))
(fma.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2))) (.f32 u1 u1) (.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2))) (+.f32 (pow.f32 u1 3) u1)))
(.f32 (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1) (+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 3))))
(.f32 (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1) (+.f32 (fma.f32 u1 u1 u1) (pow.f32 u1 3)))
(+.f32 (.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 2)) (+.f32 (.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 4)) (+.f32 (.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) (pow.f32 u1 3)) (.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1))))
(fma.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2))) (.f32 u1 u1) (fma.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2))) (pow.f32 u1 4) (.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2))) (+.f32 (pow.f32 u1 3) u1))))
(+.f32 (.f32 (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1) (+.f32 (pow.f32 u1 4) (pow.f32 u1 3))) (.f32 (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1) (fma.f32 u1 u1 u1)))
(.f32 (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1) (+.f32 (+.f32 (pow.f32 u1 4) (pow.f32 u1 3)) (fma.f32 u1 u1 u1)))
(.f32 -1 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))))
(neg.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2))))
(+.f32 -1 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))
(neg.f32 (fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) 1))
(+.f32 (.f32 -1 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))) (.f32 -1 (/.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))) u1)))
(.f32 -1 (+.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2))) (/.f32 (+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2))) u1)))
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(fma.f32 -1/8 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) 3)))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)))))
(fma.f32 -1/8 (/.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -98696044010906577398881/2500000000000000000000 (.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) (pow.f32 u2 3)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)) (/.f32 1/2 (*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)) (+.f32 (/.f32 312500000000000000000/98696044010906577398881 (.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) (pow.f32 u2 3))) (/.f32 1/2 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))))))
(+.f32 (.f32 -1/8 (.f32 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 1/2 (.f32 (/.f32 1 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 1/16 (.f32 (/.f32 1 (.f32 (pow.f32 u2 5) (pow.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) 5))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(fma.f32 -1/8 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) 3)))) (fma.f32 1/2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)))) (fma.f32 1/16 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (.f32 (pow.f32 u2 5) (pow.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) 5)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)) (/.f32 1/16 (.f32 (pow.f32 u2 5) (pow.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) 5))))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 -1/8 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) (pow.f32 u2 3)))) (/.f32 1/2 (*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (+.f32 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)) (/.f32 (/.f32 1/16 (pow.f32 u2 5)) (pow.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) 5))) (+.f32 (/.f32 312500000000000000000/98696044010906577398881 (.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) (pow.f32 u2 3))) (/.f32 1/2 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))))))
(.f32 -1 (.f32 (*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(neg.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (neg.f32 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 (neg.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000))))
(+.f32 (.f32 -1 (.f32 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -1/2 (.f32 (/.f32 1 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(fma.f32 -1 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 -1/2 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))) (neg.f32 (*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (/.f32 -1/2 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))) (*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))))
(+.f32 (.f32 -1 (.f32 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 1/8 (.f32 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -1/2 (.f32 (/.f32 1 (*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(fma.f32 -1 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))) (fma.f32 1/8 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) 3)))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)))))))
(-.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 -1/2 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))) (/.f32 1/8 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) (pow.f32 u2 3)))))) (.f32 u2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 -98696044010906577398881/2500000000000000000000))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 (/.f32 -1/2 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))) (/.f32 -312500000000000000000/98696044010906577398881 (.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) (pow.f32 u2 3)))) (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))))
(+.f32 (.f32 -1/16 (.f32 (/.f32 1 (.f32 (pow.f32 u2 5) (pow.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) 5))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 -1 (.f32 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 1/8 (.f32 (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) 3))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -1/2 (.f32 (/.f32 1 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 -1/16 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (.f32 (pow.f32 u2 5) (pow.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) 5)))) (fma.f32 -1 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))) (fma.f32 1/8 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (.f32 (pow.f32 u2 3) (pow.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) 3)))) (.f32 -1/2 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (/.f32 1 (*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))))))))
(+.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 -1/2 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))) (/.f32 1/8 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) (pow.f32 u2 3)))))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (/.f32 -1/16 (.f32 (pow.f32 u2 5) (pow.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) 5))) (neg.f32 (*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (+.f32 (/.f32 -1/2 (.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000))) (/.f32 -312500000000000000000/98696044010906577398881 (.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) (pow.f32 u2 3)))) (-.f32 (/.f32 -1/16 (.f32 (pow.f32 u2 5) (pow.f32 (sqrt.f32 -98696044010906577398881/2500000000000000000000) 5))) (*.f32 u2 (sqrt.f32 -98696044010906577398881/2500000000000000000000)))))
1
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
(fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) 1)
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
(fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) 1)
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
(fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) 1)
(*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
(fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) 1)
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
(fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) 1)
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
(fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) 1)
(*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
(fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) 1)
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
(fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) 1)
(+.f32 1 (*.f32 -98696044010906577398881/2500000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
(fma.f32 -98696044010906577398881/2500000000000000000000 (*.f32 u2 u2) 1)

localize151.0ms (1.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
✓	0.2b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(*.f32 314159265359/50000000000 u2)
	0.4b	(.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))

Compiler

Compiled 72 to 42 computations (41.7% saved)

series5.0ms (0%)

Counts

1 → 20

Calls

6 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	-inf	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite77.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

798×	`prod-diff_binary32`
748×	`log-prod_binary32`
341×	`fma-def_binary32`
256×	`log1p-udef_binary32`
255×	`expm1-udef_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	26
1	307	17
2	4178	17

Stop Event

1×	node limit

Counts

1 → 18

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (*.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))))))

simplify68.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

656×	`distribute-rgt-out_binary32`
625×	`associate-/l/_binary32`
573×	`distribute-lft-in_binary32`
484×	`distribute-rgt-in_binary32`
375×	`associate-/r/_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	77	810
1	223	740
2	691	645
3	2934	529
4	5637	519

Stop Event

1×	node limit

Counts

38 → 41

Calls

Call 1

Inputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2))))))))
(+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))

Outputs
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (sqrt.f32 -1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (*.f32 u1 u1) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (+.f32 -1/2 (/.f32 -3/8 u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1)) (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))) (sqrt.f32 -1)) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (sqrt.f32 -1)) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))))))
(fma.f32 -1/2 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (+.f32 1 (+.f32 -1/2 (.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2))) (pow.f32 u1 3)))))))
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(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 1/2 u1) 1))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 3/8 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (/.f32 3/8 u1))))
(.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (/.f32 1/2 u1) (+.f32 (/.f32 3/8 (.f32 u1 u1)) 1)))
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(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 3/8 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 5/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))))))
(fma.f32 1/2 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 3/8 (/.f32 5/16 u1)))))
(+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (+.f32 (/.f32 5/16 (.f32 u1 u1)) (/.f32 3/8 u1)))))
(sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2))))
(sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))
(sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1))
(sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1))))
(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))) (.f32 u2 u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) 1) (sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (*.f32 u1 u1))) u1)))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (.f32 u1 u1)))) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2))))))))
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(fma.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1)) (.f32 (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1) (sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1))))
(.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (.f32 u1 u1)))) (+.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
(+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))) (+.f32 (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 (.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))))))
(fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))) (pow.f32 u2 6)) (+.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))) (.f32 u2 u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1))))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (*.f32 u1 u1)))) (pow.f32 u2 4)))))
(+.f32 (.f32 (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) 1) (sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1))) (.f32 (sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1)) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))))
(fma.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (.f32 u1 u1)))) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000))) (.f32 (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000)))))
(.f32 (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (*.f32 (+.f32 1 u1) u1) (-.f32 1 (pow.f32 u1 2)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (.f32 u1 (+.f32 u1 1)) (-.f32 1 (.f32 u1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (.f32 (/.f32 (+.f32 u1 1) (-.f32 1 (.f32 u1 u1))) u1)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (fma.f32 u1 u1 u1) (-.f32 1 (*.f32 u1 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1))))

eval756.0ms (8%)

Compiler: Compiled 17611 to 12979 computations (26.3% saved)

prune296.0ms (3.1%)

Pruning

23 alts after pruning (18 fresh and 5 done)

	Pruned	Kept	Total
New	898	6	904
Fresh	4	12	16
Picked	0	1	1
Done	2	4	6
Total	904	23	927

Error

Counts

927 → 23

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 314159265359/50000000000 u2)))))))
✓	0.3b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	2.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
▶	5.6b	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
	3.6b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 (.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2) 1)))
▶	5.7b	(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
▶	7.3b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	10.8b	(sqrt.f32 u1)
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.9b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
	0.5b	(.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	5.6b	(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
✓	5.6b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	5.7b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	6.8b	(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
▶	5.9b	(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
	5.6b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	5.7b	(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
	8.1b	(sqrt.f32 (*.f32 (/.f32 u1 1) (+.f32 u1 1)))

Compiler

Compiled 571 to 466 computations (18.4% saved)

localize62.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	0.3b	(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)
✓	1.0b	(pow.f32 98696044010906577398881/2500000000000000000000 1/2)

Compiler

Compiled 49 to 37 computations (24.5% saved)

series5.0ms (0%)

Counts

3 → 32

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)
1.0ms	u2	@	inf	(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)
1.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
0.0ms	u2	@	-inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
0.0ms	u2	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))

rewrite73.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

570×	`log-prod_binary32`
335×	`pow-prod-down_binary32`
324×	`pow2_binary32`
271×	`prod-diff_binary32`
226×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	22
1	276	22
2	3192	22

Stop Event

1×	node limit

Counts

3 → 43

Calls

Call 1

Inputs

(pow.f32 98696044010906577398881/2500000000000000000000 1/2)

(*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x . 314159265359/50000000000)))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 314159265359/50000000000 u2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000)) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 314159265359/50000000000 u2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 314159265359/50000000000 u2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 314159265359/50000000000 u2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 314159265359/50000000000 u2))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2))) 2))))))

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)) (log.f32 (cbrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (*.f32 3 (log.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (cbrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (sqrt.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))) 2))))))

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

764×	`associate-*r/_binary32`
641×	`distribute-lft-out_binary32`
541×	`distribute-rgt-out_binary32`
502×	`associate-/l/_binary32`
419×	`*-commutative_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	77	694
1	219	661
2	655	602
3	2565	502
4	6154	488

Stop Event

1×	node limit

Counts

75 → 65

Calls

Call 1

Inputs
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

Outputs
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1))))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (+.f32 -1/2 (/.f32 -3/8 u1))))
(+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 -1/2 (/.f32 (.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 -1/2 (.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (sqrt.f32 -1)) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (sqrt.f32 -1) (.f32 u1 u1)) (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)))) (fma.f32 -1/2 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1/2 (.f32 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (sqrt.f32 -1)) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (.f32 (+.f32 1 (+.f32 -1/2 (.f32 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2))) (/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)))))))
(+.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (/.f32 (/.f32 -5/16 (sqrt.f32 -1)) (pow.f32 u1 3)))) (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1)) (+.f32 -1/2 (/.f32 -3/8 u1))))
(+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (+.f32 -1/2 (+.f32 (/.f32 -3/8 u1) (/.f32 -5/16 (.f32 u1 u1))))))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 1/2 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1))))
(.f32 (+.f32 (/.f32 1/2 u1) 1) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 3/8 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (sqrt.f32 -1) u1)))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (+.f32 1/2 (/.f32 3/8 u1))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (sqrt.f32 -1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (+.f32 1/2 (/.f32 3/8 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1)))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) u1)) (+.f32 (.f32 3/8 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 u1 3))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (cos.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 3/8 (.f32 (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1) (/.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 5/16 (.f32 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))))))
(fma.f32 1/2 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2)) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 3/8 (/.f32 5/16 u1)))))
(+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (.f32 (sqrt.f32 -1) (/.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) u1)) (+.f32 1/2 (+.f32 (/.f32 5/16 (.f32 u1 u1)) (/.f32 3/8 u1)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (+.f32 (+.f32 (sqrt.f32 -1) (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 3/8 u1)))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (.f32 u2 -98696044010906577398881/5000000000000000000000) u2 1))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000)) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (+.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 u2 u2)) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 6)))))
(+.f32 (.f32 (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

localize28.0ms (0.3%)

Local error

Found 2 expressions with local error:

New	Error	Program
	0.1b	(-.f32 (/.f32 1 u1) 1)
	0.1b	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)

Compiler

Compiled 21 to 17 computations (19% saved)

localize114.0ms (1.2%)

Local error

Found 3 expressions with local error:

New	Error	Program
	0.1b	(-.f32 (/.f32 1 u1) 1)
	0.1b	(sqrt.f32 (-.f32 (/.f32 1 u1) 1))
	0.3b	(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))

Compiler

Compiled 27 to 22 computations (18.5% saved)

localize48.0ms (0.5%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(cos.f32 (*.f32 314159265359/50000000000 u2))
✓	0.2b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(*.f32 314159265359/50000000000 u2)

Compiler

Compiled 22 to 14 computations (36.4% saved)

series5.0ms (0.1%)

Counts

2 → 16

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u1	@	0	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	0	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))

rewrite81.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

703×	`pow1_binary32`
648×	`add-log-exp_binary32`
648×	`log1p-expm1-u_binary32`
648×	`expm1-log1p-u_binary32`
633×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	17
1	158	17
2	1788	17

Stop Event

1×	node limit

Counts

2 → 29

Calls

Call 1

Inputs
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(cos.f32 (*.f32 314159265359/50000000000 u2))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (*.f32 u1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (pow.f32 (exp.f32 (sqrt.f32 u1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 u1 3/2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) (pow.f32 u1 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (*.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2) (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))))

simplify162.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1031×	`distribute-rgt-in_binary32`
602×	`fma-def_binary32`
530×	`sqr-pow_binary32`
509×	`distribute-rgt-out_binary32`
472×	`associate-l_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	37	228
1	89	212
2	223	202
3	708	197
4	2662	197
5	4675	197
6	5866	197
7	6160	197
8	6377	197
9	6650	197
10	6987	197
11	7423	197

Stop Event

1×	node limit

Counts

45 → 45

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 u1))))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 u1))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 u1)))))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 u1))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 u1))))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
1
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))

Outputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 u1))))
(+.f32 (sqrt.f32 u1) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 u1) (*.f32 u2 u2))))
(.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 u1))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 u1)))))
(+.f32 (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 u1) (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (sqrt.f32 u1) (pow.f32 u2 4)))))
(+.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (+.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.f32 (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
(+.f32 (sqrt.f32 u1) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 u1))) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 u1))) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 u1))))))
(+.f32 (sqrt.f32 u1) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 u1) (pow.f32 u2 6)) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (sqrt.f32 u1) (.f32 u2 u2)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 u1) (pow.f32 u2 4))))))
(+.f32 (.f32 (sqrt.f32 u1) (+.f32 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))) (*.f32 (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1) (sqrt.f32 u1)))
(fma.f32 (sqrt.f32 u1) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (.f32 (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))))
(.f32 (sqrt.f32 u1) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1))))
(.f32 (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1))))
(.f32 (sqrt.f32 u1) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))
1
(+.f32 (*.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) 1)
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (+.f32 1 (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
(fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1)))
(fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1)))

localize90.0ms (1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.3b	(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
	0.7b	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)

Compiler

Compiled 41 to 29 computations (29.3% saved)

series9.0ms (0.1%)

Counts

2 → 16

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	inf	(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
2.0ms	u1	@	0	(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
2.0ms	u1	@	-inf	(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
1.0ms	u1	@	0	(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))
1.0ms	u1	@	-inf	(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))

rewrite88.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

896×	`pow1_binary32`
846×	`add-log-exp_binary32`
845×	`log1p-expm1-u_binary32`
845×	`expm1-log1p-u_binary32`
828×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	30
1	194	18
2	2449	18

Stop Event

1×	node limit

Counts

2 → 48

Calls

Call 1

Inputs
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(cbrt.f32 (/.f32 u1 (-.f32 1 u1)))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (sqrt.f32 (neg.f32 u1)) (sqrt.f32 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (cbrt.f32 u1) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 u1)) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))

((#(struct:change #<rule egg-rr> (2) ((x -.f32 (+.f32 1 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 2) (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 u1) (cbrt.f32 (/.f32 1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 u1) (pow.f32 (/.f32 1 (-.f32 1 u1)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 u1) (/.f32 1 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/12) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/3) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2)) 1/3) (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (cbrt.f32 (/.f32 (-.f32 1 u1) u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (/.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (cbrt.f32 (neg.f32 u1)) (cbrt.f32 (neg.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 (neg.f32 (cbrt.f32 u1)) (neg.f32 (cbrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2) 1/6)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))))))))

simplify72.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

635×	`associate-/l/_binary32`
471×	`associate-/r/_binary32`
320×	`associate-/r*_binary32`
316×	`fma-def_binary32`
280×	`unswap-sqr_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	93	550
1	276	520
2	912	489
3	3903	414

Stop Event

1×	node limit

Counts

64 → 75

Calls

Call 1

Inputs
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(*.f32 (pow.f32 -1 1/6) (cbrt.f32 -1))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1))) (*.f32 (pow.f32 -1 1/6) (cbrt.f32 -1)))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1))) (+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (pow.f32 u1 2)))) (*.f32 (pow.f32 -1 1/6) (cbrt.f32 -1))))
(+.f32 (.f32 5/16 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1))) (+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (pow.f32 u1 2)))) (*.f32 (pow.f32 -1 1/6) (cbrt.f32 -1)))))
(cbrt.f32 -1)
(+.f32 (cbrt.f32 -1) (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (.f32 -1/3 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1)))))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 1/27 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (.f32 2/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))) 1)) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 3)))) (.f32 -1/3 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))))
(cbrt.f32 -1)
(+.f32 (cbrt.f32 -1) (*.f32 1/3 (/.f32 (cbrt.f32 -1) u1)))
(+.f32 (.f32 2/9 (/.f32 (cbrt.f32 -1) (pow.f32 u1 2))) (+.f32 (cbrt.f32 -1) (.f32 1/3 (/.f32 (cbrt.f32 -1) u1))))
(+.f32 (.f32 14/81 (/.f32 (cbrt.f32 -1) (pow.f32 u1 3))) (+.f32 (.f32 2/9 (/.f32 (cbrt.f32 -1) (pow.f32 u1 2))) (+.f32 (cbrt.f32 -1) (*.f32 1/3 (/.f32 (cbrt.f32 -1) u1)))))

Outputs
(sqrt.f32 -1)
(-.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (sqrt.f32 -1) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1)))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1)) (.f32 1/2 (/.f32 1 (.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1)) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1)) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (+.f32 (/.f32 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (/.f32 -1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (sqrt.f32 -1) (*.f32 (+.f32 (/.f32 3/4 u1) 1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))))
(-.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 (.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2))) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (sqrt.f32 -1))) (.f32 1/2 (/.f32 1 (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 1/2 (.f32 (sqrt.f32 -1) u1)))
(+.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (sqrt.f32 -1))) (/.f32 -1/2 (.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (-.f32 (.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 u1 u1)) (/.f32 (+.f32 1 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2)) (pow.f32 u1 3)))) (/.f32 1/2 (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 (/.f32 -1/2 (.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 3/4 (/.f32 5/8 u1))) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))))
(*.f32 (pow.f32 -1 1/6) (cbrt.f32 -1))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1))) (*.f32 (pow.f32 -1 1/6) (cbrt.f32 -1)))
(fma.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1)) (.f32 (pow.f32 -1 1/6) (cbrt.f32 -1)))
(.f32 (pow.f32 -1 1/6) (+.f32 (cbrt.f32 -1) (.f32 1/2 (/.f32 (cbrt.f32 -1) u1))))
(+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1))) (+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (pow.f32 u1 2)))) (*.f32 (pow.f32 -1 1/6) (cbrt.f32 -1))))
(fma.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1)) (fma.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (.f32 u1 u1))) (.f32 (pow.f32 -1 1/6) (cbrt.f32 -1))))
(fma.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1)) (fma.f32 (pow.f32 -1 1/6) (cbrt.f32 -1) (/.f32 (.f32 (.f32 (pow.f32 -1 1/6) (cbrt.f32 -1)) 3/8) (.f32 u1 u1))))
(fma.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1)) (.f32 (pow.f32 -1 1/6) (+.f32 (cbrt.f32 -1) (.f32 3/8 (/.f32 (cbrt.f32 -1) (.f32 u1 u1))))))
(fma.f32 (pow.f32 -1 1/6) (cbrt.f32 -1) (.f32 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1)) (+.f32 1/2 (/.f32 3/8 u1))))
(+.f32 (.f32 5/16 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1))) (+.f32 (.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (pow.f32 u1 2)))) (*.f32 (pow.f32 -1 1/6) (cbrt.f32 -1)))))
(fma.f32 5/16 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (pow.f32 u1 3))) (fma.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1)) (fma.f32 3/8 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (.f32 u1 u1))) (*.f32 (pow.f32 -1 1/6) (cbrt.f32 -1)))))
(fma.f32 5/16 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) (pow.f32 u1 3))) (fma.f32 1/2 (.f32 (pow.f32 -1 1/6) (/.f32 (cbrt.f32 -1) u1)) (fma.f32 (pow.f32 -1 1/6) (cbrt.f32 -1) (/.f32 (.f32 (.f32 (pow.f32 -1 1/6) (cbrt.f32 -1)) 3/8) (*.f32 u1 u1)))))
(+.f32 (.f32 (pow.f32 -1 1/6) (+.f32 (cbrt.f32 -1) (.f32 3/8 (/.f32 (cbrt.f32 -1) (.f32 u1 u1))))) (.f32 (pow.f32 -1 1/6) (+.f32 (.f32 1/2 (/.f32 (cbrt.f32 -1) u1)) (.f32 5/16 (/.f32 (cbrt.f32 -1) (pow.f32 u1 3))))))
(+.f32 (.f32 (pow.f32 -1 1/6) (+.f32 (cbrt.f32 -1) (.f32 1/2 (/.f32 (cbrt.f32 -1) u1)))) (.f32 (/.f32 (cbrt.f32 -1) (.f32 (/.f32 u1 (pow.f32 -1 1/6)) u1)) (+.f32 3/8 (/.f32 5/16 u1))))
(cbrt.f32 -1)
(+.f32 (cbrt.f32 -1) (.f32 -1/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))
(+.f32 (cbrt.f32 -1) (.f32 -1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (/.f32 1 u1))))
(fma.f32 -1/3 (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1) (cbrt.f32 -1))
(fma.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (/.f32 -1/3 u1) (cbrt.f32 -1))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (.f32 -1/3 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1)))))
(fma.f32 -1/3 (/.f32 (+.f32 1 (.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (cbrt.f32 -1) (.f32 -1/3 (*.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (/.f32 1 u1)))))
(fma.f32 -1/3 (/.f32 (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (fma.f32 -1/3 (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1) (cbrt.f32 -1)))
(fma.f32 -1/3 (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1) (fma.f32 -1/3 (/.f32 (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) (.f32 u1 (.f32 u1 (pow.f32 (cbrt.f32 -1) 2)))) (cbrt.f32 -1)))
(+.f32 (cbrt.f32 -1) (.f32 (/.f32 -1/3 u1) (+.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (/.f32 (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) (.f32 u1 (pow.f32 (cbrt.f32 -1) 2))))))
(+.f32 (.f32 -1/3 (/.f32 (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 2)))) (+.f32 (cbrt.f32 -1) (+.f32 (.f32 1/3 (/.f32 (-.f32 (.f32 1/27 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (.f32 2/3 (.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)) 1/3) (+.f32 1 (.f32 1/3 (pow.f32 (/.f32 1 (cbrt.f32 -1)) 1/3))))) 1)) (.f32 (pow.f32 (cbrt.f32 -1) 2) (pow.f32 u1 3)))) (.f32 -1/3 (*.f32 (pow.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2)) 1/3) (/.f32 1 u1))))))
(fma.f32 -1/3 (/.f32 (+.f32 1 (.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (+.f32 (cbrt.f32 -1) (fma.f32 1/3 (/.f32 (-.f32 (/.f32 1/27 (pow.f32 (cbrt.f32 -1) 2)) (fma.f32 2/3 (.f32 (+.f32 1 (.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))))) (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) 1)) (.f32 (pow.f32 u1 3) (pow.f32 (cbrt.f32 -1) 2))) (.f32 -1/3 (.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (/.f32 1 u1))))))
(+.f32 (fma.f32 -1/3 (/.f32 (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) (.f32 (.f32 u1 u1) (pow.f32 (cbrt.f32 -1) 2))) (fma.f32 -1/3 (/.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) u1) (cbrt.f32 -1))) (.f32 1/3 (/.f32 (-.f32 (/.f32 1/27 (pow.f32 (cbrt.f32 -1) 2)) (fma.f32 (.f32 2/3 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) 1)) (*.f32 (pow.f32 u1 3) (pow.f32 (cbrt.f32 -1) 2)))))
(fma.f32 -1/3 (/.f32 (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) (.f32 u1 (.f32 u1 (pow.f32 (cbrt.f32 -1) 2)))) (fma.f32 (/.f32 1/3 (pow.f32 u1 3)) (/.f32 (-.f32 (/.f32 1/27 (pow.f32 (cbrt.f32 -1) 2)) (fma.f32 (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) (*.f32 2/3 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) 1)) (pow.f32 (cbrt.f32 -1) 2)) (fma.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (/.f32 -1/3 u1) (cbrt.f32 -1))))
(+.f32 (fma.f32 1/3 (/.f32 (-.f32 -1/27 (/.f32 (fma.f32 (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) (.f32 2/3 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 5)))) 1) (cbrt.f32 -1))) (.f32 (pow.f32 u1 3) (cbrt.f32 -1))) (cbrt.f32 -1)) (.f32 (/.f32 -1/3 u1) (+.f32 (cbrt.f32 (/.f32 1 (pow.f32 (cbrt.f32 -1) 2))) (/.f32 (fma.f32 1/3 (cbrt.f32 (/.f32 1 (cbrt.f32 -1))) 1) (.f32 u1 (pow.f32 (cbrt.f32 -1) 2))))))
(cbrt.f32 -1)
(+.f32 (cbrt.f32 -1) (*.f32 1/3 (/.f32 (cbrt.f32 -1) u1)))
(+.f32 (cbrt.f32 -1) (*.f32 (/.f32 (cbrt.f32 -1) u1) 1/3))
(fma.f32 (/.f32 (cbrt.f32 -1) u1) 1/3 (cbrt.f32 -1))
(+.f32 (.f32 2/9 (/.f32 (cbrt.f32 -1) (pow.f32 u1 2))) (+.f32 (cbrt.f32 -1) (.f32 1/3 (/.f32 (cbrt.f32 -1) u1))))
(fma.f32 2/9 (/.f32 (cbrt.f32 -1) (.f32 u1 u1)) (+.f32 (cbrt.f32 -1) (.f32 (/.f32 (cbrt.f32 -1) u1) 1/3)))
(fma.f32 (/.f32 (cbrt.f32 -1) (*.f32 u1 u1)) 2/9 (fma.f32 (/.f32 (cbrt.f32 -1) u1) 1/3 (cbrt.f32 -1)))
(+.f32 (cbrt.f32 -1) (*.f32 (/.f32 (cbrt.f32 -1) u1) (+.f32 (/.f32 2/9 u1) 1/3)))
(+.f32 (.f32 14/81 (/.f32 (cbrt.f32 -1) (pow.f32 u1 3))) (+.f32 (.f32 2/9 (/.f32 (cbrt.f32 -1) (pow.f32 u1 2))) (+.f32 (cbrt.f32 -1) (*.f32 1/3 (/.f32 (cbrt.f32 -1) u1)))))
(fma.f32 14/81 (/.f32 (cbrt.f32 -1) (pow.f32 u1 3)) (fma.f32 2/9 (/.f32 (cbrt.f32 -1) (.f32 u1 u1)) (+.f32 (cbrt.f32 -1) (.f32 (/.f32 (cbrt.f32 -1) u1) 1/3))))
(fma.f32 (/.f32 (cbrt.f32 -1) (pow.f32 u1 3)) 14/81 (fma.f32 (/.f32 (cbrt.f32 -1) (*.f32 u1 u1)) 2/9 (fma.f32 (/.f32 (cbrt.f32 -1) u1) 1/3 (cbrt.f32 -1))))
(+.f32 (fma.f32 (/.f32 (cbrt.f32 -1) u1) 1/3 (cbrt.f32 -1)) (.f32 (/.f32 (cbrt.f32 -1) (.f32 u1 u1)) (+.f32 2/9 (/.f32 14/81 u1))))
(+.f32 (cbrt.f32 -1) (.f32 (/.f32 (cbrt.f32 -1) u1) (+.f32 1/3 (+.f32 (/.f32 2/9 u1) (/.f32 14/81 (.f32 u1 u1))))))

eval608.0ms (6.4%)

Compiler: Compiled 11354 to 9091 computations (19.9% saved)

prune226.0ms (2.4%)

Pruning

27 alts after pruning (18 fresh and 9 done)

	Pruned	Kept	Total
New	689	5	694
Fresh	0	13	13
Picked	1	0	1
Done	0	9	9
Total	690	27	717

Error

Counts

717 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	0.9b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 314159265359/50000000000 u2)))))))
✓	0.3b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	10.8b	(/.f32 1 (sqrt.f32 (/.f32 1 u1)))
	0.4b	(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	10.8b	(pow.f32 (/.f32 1 u1) -1/2)
	10.7b	(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 u1))
	2.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
✓	5.6b	(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
	7.3b	(.f32 (sqrt.f32 u1) (-.f32 (+.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) 1))
	3.6b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 (.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2) 1)))
✓	5.7b	(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
✓	7.3b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
✓	10.8b	(sqrt.f32 u1)
✓	0.2b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.9b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
	0.5b	(.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	5.6b	(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
✓	5.6b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	5.7b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	6.8b	(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
	5.6b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	9.9b	(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
	5.7b	(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
	8.1b	(sqrt.f32 (*.f32 (/.f32 u1 1) (+.f32 u1 1)))

Compiler

Compiled 357 to 292 computations (18.2% saved)

regimes312.0ms (3.3%)

Counts

46 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(/.f32 1 (sqrt.f32 (/.f32 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (*.f32 (/.f32 u1 1) (+.f32 u1 1)))
(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 (.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2) 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 u1))
(.f32 (sqrt.f32 u1) (-.f32 (+.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) 1))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 1 (/.f32 (sqrt.f32 (+.f32 (/.f32 1 u1) -1)) (cos.f32 (*.f32 314159265359/50000000000 u2))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1)))
(.f32 (/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 314159265359/50000000000 u2)))))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
(.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3/2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1/4) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (exp.f32 (.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))) 1/2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Calls

8 calls:

64.0ms	(/.f32 u1 (-.f32 1 u1))
59.0ms	(*.f32 314159265359/50000000000 u2)
50.0ms	u1
34.0ms	cosTheta_i
24.0ms	u2

Results

Error	Segments	Branch
0.2b	1	`cosTheta_i`
0.2b	1	`u1`
0.2b	1	`u2`
0.2b	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))`
0.2b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.2b	1	`(/.f32 u1 (-.f32 1 u1))`
0.2b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
0.2b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 581 to 439 computations (24.4% saved)

regimes216.0ms (2.3%)

Counts

22 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(/.f32 1 (sqrt.f32 (/.f32 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (*.f32 (/.f32 u1 1) (+.f32 u1 1)))
(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 (.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2) 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 u1))
(.f32 (sqrt.f32 u1) (-.f32 (+.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) 1))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))

Outputs
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))

Calls

9 calls:

60.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
42.0ms	u1
23.0ms	(*.f32 314159265359/50000000000 u2)
16.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
14.0ms	(/.f32 u1 (-.f32 1 u1))

Results

Error	Segments	Branch
0.4b	1	`cosTheta_i`
0.4b	1	`u1`
0.4b	1	`u2`
0.4b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.4b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.4b	1	`(/.f32 u1 (-.f32 1 u1))`
0.4b	1	`(/.f32 u1 (-.f32 1 u1))`
0.4b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
0.4b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 257 to 194 computations (24.5% saved)

regimes395.0ms (4.2%)

Counts

21 → 2

Calls

Call 1

Inputs
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(/.f32 1 (sqrt.f32 (/.f32 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (*.f32 (/.f32 u1 1) (+.f32 u1 1)))
(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 (.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2) 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 3)
(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) (cbrt.f32 u1))
(.f32 (sqrt.f32 u1) (-.f32 (+.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) 1))

Outputs
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))

Calls

9 calls:

73.0ms	(*.f32 314159265359/50000000000 u2)
45.0ms	cosTheta_i
40.0ms	u2
40.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
23.0ms	u1

Results

Error	Segments	Branch
2.9b	1	`cosTheta_i`
2.9b	1	`u1`
1.3b	2	`u2`
2.9b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
2.9b	1	`(/.f32 u1 (-.f32 1 u1))`
1.3b	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
1.3b	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
1.3b	2	`(*.f32 314159265359/50000000000 u2)`
1.3b	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 242 to 183 computations (24.4% saved)

bsearch0.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.9897276163101196	0.9904370307922363

Compiler

Compiled 20 to 16 computations (20% saved)

regimes140.0ms (1.5%)

Counts

16 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(/.f32 1 (sqrt.f32 (/.f32 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (*.f32 (/.f32 u1 1) (+.f32 u1 1)))
(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (+.f32 (.f32 (*.f32 -98696044010906577398881/2500000000000000000000 u2) u2) 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))

Calls

5 calls:

60.0ms	u2
20.0ms	(/.f32 u1 (-.f32 1 u1))
18.0ms	cosTheta_i
18.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
18.0ms	u1

Results

Error	Segments	Branch
2.9b	1	`cosTheta_i`
2.9b	1	`u1`
2.9b	1	`u2`
2.9b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
2.9b	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 172 to 131 computations (23.8% saved)

regimes143.0ms (1.5%)

Counts

13 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(/.f32 1 (sqrt.f32 (/.f32 1 u1)))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(pow.f32 (-.f32 (/.f32 1 u1) 1) -1/2)
(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (*.f32 (/.f32 u1 1) (+.f32 u1 1)))
(/.f32 1 (sqrt.f32 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (/.f32 1 (-.f32 (/.f32 1 u1) 1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(sqrt.f32 (/.f32 (+.f32 u1 1) (-.f32 (/.f32 1 u1) u1)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))

Outputs
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Calls

5 calls:

53.0ms	u2
51.0ms	cosTheta_i
10.0ms	(/.f32 u1 (-.f32 1 u1))
10.0ms	u1
10.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Results

Error	Segments	Branch
5.6b	1	`cosTheta_i`
5.6b	1	`u1`
5.6b	1	`u2`
5.6b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
5.6b	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 130 to 101 computations (22.3% saved)

regimes30.0ms (0.3%)

Accuracy

Total -0.1b remaining (-0.5%)

Threshold costs -0.1b (-0.5%)

Counts

3 → 1

Calls

Call 1

Inputs
(sqrt.f32 u1)
(pow.f32 (/.f32 1 u1) -1/2)
(/.f32 1 (sqrt.f32 (/.f32 1 u1)))

Outputs
(sqrt.f32 u1)

Calls

3 calls:

12.0ms	u2
8.0ms	u1
8.0ms	cosTheta_i

Results

Error	Segments	Branch
10.8b	1	`cosTheta_i`
10.8b	1	`u1`
10.8b	1	`u2`

Compiler

Compiled 28 to 22 computations (21.4% saved)

simplify12.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	110
1	39	110
2	42	110
3	44	110
4	45	110

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 4252017664/4294967296) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 (/.f32 1 u1) -1)))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 4252017664/4294967296) (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 4152361/4194304) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)

Compiler

Compiled 90 to 71 computations (21.1% saved)

soundness0.0ms (0%)

end73.0ms (0.8%)

Compiler: Compiled 75 to 55 computations (26.7% saved)

Iter	Nodes	Cost
0	25	68
1	40	68
2	50	68
3	66	68
4	86	68
5	112	68
6	143	68
7	190	68
8	234	68
9	243	68
10	246	68
0	3	3

Iter	Nodes	Cost
0	25	68
1	40	68
2	50	68
3	66	68
4	86	68
5	112	68
6	143	68
7	190	68
8	234	68
9	243	68
10	246	68
0	3	3

Details

analyze154.0ms (1.6%)

sample1.9s (20.3%)

preprocess24.0ms (0.3%)

simplify9.0ms (0.1%)

eval1.0ms (0%)

prune1.0ms (0%)

localize45.0ms (0.5%)

series13.0ms (0.1%)

rewrite85.0ms (0.9%)

simplify77.0ms (0.8%)

eval77.0ms (0.8%)

prune49.0ms (0.5%)

localize58.0ms (0.6%)

series4.0ms (0%)

rewrite76.0ms (0.8%)

simplify67.0ms (0.7%)

localize21.0ms (0.2%)

localize52.0ms (0.5%)

series12.0ms (0.1%)

rewrite83.0ms (0.9%)

simplify95.0ms (1%)

localize57.0ms (0.6%)

series7.0ms (0.1%)

rewrite69.0ms (0.7%)

simplify52.0ms (0.5%)

localize61.0ms (0.6%)

series11.0ms (0.1%)

rewrite75.0ms (0.8%)

simplify88.0ms (0.9%)

eval671.0ms (7.1%)

prune272.0ms (2.9%)

localize179.0ms (1.9%)

series7.0ms (0.1%)

rewrite79.0ms (0.8%)

simplify74.0ms (0.8%)

localize6.0ms (0.1%)

localize48.0ms (0.5%)

series5.0ms (0.1%)

rewrite90.0ms (1%)

simplify50.0ms (0.5%)

localize56.0ms (0.6%)

series15.0ms (0.2%)

rewrite93.0ms (1%)

simplify73.0ms (0.8%)

localize151.0ms (1.6%)

series5.0ms (0%)

rewrite77.0ms (0.8%)

simplify68.0ms (0.7%)

eval756.0ms (8%)

prune296.0ms (3.1%)

localize62.0ms (0.7%)

series5.0ms (0%)

rewrite73.0ms (0.8%)

simplify61.0ms (0.6%)

localize28.0ms (0.3%)

localize114.0ms (1.2%)

localize48.0ms (0.5%)

series5.0ms (0.1%)

rewrite81.0ms (0.9%)

simplify162.0ms (1.7%)

localize90.0ms (1%)

series9.0ms (0.1%)

rewrite88.0ms (0.9%)

simplify72.0ms (0.8%)

eval608.0ms (6.4%)

prune226.0ms (2.4%)

regimes312.0ms (3.3%)

regimes216.0ms (2.3%)

regimes395.0ms (4.2%)

bsearch0.0ms (0%)

regimes140.0ms (1.5%)

regimes143.0ms (1.5%)

regimes30.0ms (0.3%)

simplify12.0ms (0.1%)

soundness0.0ms (0%)

end73.0ms (0.8%)

Profiling

Iter	Nodes	Cost
0	25	68
1	40	68
2	50	68
3	66	68
4	86	68
5	112	68
6	143	68
7	190	68
8	234	68
9	243	68
10	246	68
0	3	3