Details

analyze304.0ms (2.9%)

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)

sample2.2s (21.4%)

Results

2.2s	8256×	body	256	valid
0.0ms	2×	body	256	invalid

preprocess33.0ms (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)

simplify17.0ms (0.2%)

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)

prune2.0ms (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

0.3b

Counts

2 → 1

Alt Table

Click to see full alt table

Status	Error	Program
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 14 to 11 computations (21.4% saved)

localize96.0ms (0.9%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 39 to 27 computations (30.8% saved)

series13.0ms (0.1%)

Counts

4 → 36

Calls

15 calls:

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

rewrite86.0ms (0.8%)

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	34
1	228	34
2	2842	34

Stop Event

1×	node limit

Counts

4 → 138

Calls

Call 1

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

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

simplify73.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

748×	`associate-*r/_binary32`
515×	`associate-/l/_binary32`
415×	`fma-def_binary32`
389×	`unswap-sqr_binary32`
298×	`distribute-rgt-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	103	846
1	295	786
2	900	723
3	3241	621
4	7147	621

Stop Event

1×	node limit

Counts

174 → 180

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

eval104.0ms (1%)

Compiler: Compiled 3136 to 2467 computations (21.3% saved)

prune61.0ms (0.6%)

Pruning

27 alts after pruning (26 fresh and 1 done)

	Pruned	Kept	Total
New	154	26	180
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	154	27	181

Error

0.0b

Counts

181 → 27

Alt Table

Click to see full alt table

Status	Error	Program
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	3.1b	(exp.f32 (.f32 (log.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)) 1/3))
	1.9b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
	1.4b	(.f32 (sqrt.f32 (exp.f32 (.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
▶	0.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	1.6b	(.f32 (sqrt.f32 (exp.f32 (.f32 (.f32 3 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))
	3.8b	(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	2.8b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	4.8b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
▶	6.9b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	0.3b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	3.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1))
	8.8b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.1b	(.f32 (sqrt.f32 (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)))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	14.6b	(.f32 (sqrt.f32 (+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	1.4b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
▶	13.4b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	14.8b	(.f32 (sqrt.f32 (+.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))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 936 to 757 computations (19.1% saved)

localize84.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
	0.2b	(/.f32 u1 (-.f32 1 u1))
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	0.4b	(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)

Compiler

Compiled 56 to 42 computations (25% saved)

series5.0ms (0%)

Counts

2 → 24

Calls

9 calls:

Time	Variable		Point	Expression
1.0ms	u2	@	0	(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)
1.0ms	u2	@	inf	(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)
1.0ms	u2	@	-inf	(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)
0.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))

rewrite75.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

601×	`log-prod_binary32`
377×	`pow-prod-down_binary32`
327×	`pow2_binary32`
271×	`prod-diff_binary32`
226×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	26
1	296	26
2	3325	26

Stop Event

1×	node limit

Counts

2 → 41

Calls

Call 1

Inputs
(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))

Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x .f32 1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (cos.f32 (.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (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))) (.f32 (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) 1) (cos.f32 (.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x .f32 (pow.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (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 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2) (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (.f32 (log.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(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 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) 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 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 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 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (sqrt.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) 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 (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 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.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)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(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))))) 1))))))

Outputs

((#(struct:change #<rule egg-rr> (2) ((x +.f32 0 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f32 (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))) (log.f32 (sqrt.f32 (exp.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f32 (exp.f32 (log1p.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)) (*.f32 (cbrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (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))) (*.f32 (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3/2) (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) 1) (cos.f32 (*.f32 314159265359/50000000000 u2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (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 (*.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 2) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))) (sqrt.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (+.f32 1 (expm1.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 9))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (log.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 (log.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)) 1))))))

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

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

769×	`associate-*r/_binary32`
548×	`distribute-rgt-out_binary32`
531×	`distribute-lft-out_binary32`
500×	`associate-/l/_binary32`
345×	`fma-def_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	89	698
1	247	663
2	729	602
3	2804	502
4	6201	488

Stop Event

1×	node limit

Counts

65 → 71

Calls

Call 1

Inputs
1
(+.f32 1 (*.f32 -296088132032719732196643/5000000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (+.f32 (.f32 -296088132032719732196643/5000000000000000000000 (pow.f32 u2 2)) (.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 1 (+.f32 (.f32 -296088132032719732196643/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (.f32 -234578963232466914454487394245790155366414510988240850205869851459769204/15000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (*.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(.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
1
(+.f32 1 (*.f32 -296088132032719732196643/5000000000000000000000 (pow.f32 u2 2)))
(+.f32 1 (.f32 -296088132032719732196643/5000000000000000000000 (.f32 u2 u2)))
(fma.f32 -296088132032719732196643/5000000000000000000000 (*.f32 u2 u2) 1)
(+.f32 1 (+.f32 (.f32 -296088132032719732196643/5000000000000000000000 (pow.f32 u2 2)) (.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 1 (fma.f32 -296088132032719732196643/5000000000000000000000 (.f32 u2 u2) (.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(fma.f32 -296088132032719732196643/5000000000000000000000 (*.f32 u2 u2) (fma.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(+.f32 1 (+.f32 (.f32 -296088132032719732196643/5000000000000000000000 (pow.f32 u2 2)) (+.f32 (.f32 -234578963232466914454487394245790155366414510988240850205869851459769204/15000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (*.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 1 (fma.f32 -296088132032719732196643/5000000000000000000000 (.f32 u2 u2) (fma.f32 -58644740808116728613621848561447538841603627747060212551467462864942301/3750000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(+.f32 1 (fma.f32 -296088132032719732196643/5000000000000000000000 (.f32 u2 u2) (fma.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 -58644740808116728613621848561447538841603627747060212551467462864942301/3750000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)))))
(+.f32 (fma.f32 -296088132032719732196643/5000000000000000000000 (.f32 u2 u2) 1) (fma.f32 68186363723819656600723780188600472878460365127/50000000000000000000000000000000000000000000 (pow.f32 u2 4) (.f32 -58644740808116728613621848561447538841603627747060212551467462864942301/3750000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6))))
(.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 (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))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (+.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 (+.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 -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 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.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 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))))
(+.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 (+.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 -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 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.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 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) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (cos.f32 (.f32 u2 314159265359/50000000000)))))))
(fma.f32 -1/2 (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) u1) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.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 (+.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))))
(+.f32 (.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 (/.f32 -3/8 u1) (/.f32 -5/16 (.f32 u1 u1))))))
(.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 (sqrt.f32 -1) (/.f32 u1 (cos.f32 (.f32 u2 314159265359/50000000000)))) (.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 (/.f32 (sqrt.f32 -1) u1) (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))))
(.f32 (+.f32 (/.f32 1/2 u1) 1) (.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 (.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 u2 314159265359/50000000000)))) (fma.f32 3/8 (/.f32 (sqrt.f32 -1) (/.f32 (.f32 u1 u1) (cos.f32 (.f32 u2 314159265359/50000000000)))) (.f32 (sqrt.f32 -1) (cos.f32 (*.f32 u2 314159265359/50000000000)))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 3/8 (/.f32 (.f32 u1 u1) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)))))))
(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))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (.f32 (sqrt.f32 -1) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 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)))))
(+.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 u2 314159265359/50000000000)))) (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))))))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (cos.f32 (.f32 u2 314159265359/50000000000))) (fma.f32 3/8 (.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) u1) (/.f32 (sqrt.f32 -1) u1)) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 5/16 (/.f32 (sqrt.f32 -1) (/.f32 (pow.f32 u1 3) (cos.f32 (*.f32 u2 314159265359/50000000000))))))))
(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 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 3/8 (/.f32 5/16 u1)))))
(+.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))) (.f32 (.f32 (sqrt.f32 -1) (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) u1)) (+.f32 (/.f32 5/16 (.f32 u1 u1)) (+.f32 1/2 (/.f32 3/8 u1)))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (+.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 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000 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 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (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 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000) (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000) (fma.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 1 (fma.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))
(+.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 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(+.f32 (.f32 (+.f32 (.f32 (pow.f32 u2 6) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000) (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))
(fma.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000)) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (pow.f32 u2 6) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (fma.f32 (pow.f32 u2 6) -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 1) (fma.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (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 u2 314159265359/50000000000)) (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 u2 314159265359/50000000000)) (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 u2 314159265359/50000000000)) (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 u2 314159265359/50000000000)) (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 u2 314159265359/50000000000)) (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 u2 314159265359/50000000000)) (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 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

localize50.0ms (0.5%)

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)

series2.0ms (0%)

Counts

1 → 8

Calls

3 calls:

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

rewrite55.0ms (0.5%)

Algorithm

1×	batch-egg-rewrite

Rules

690×	`pow1_binary32`
646×	`add-log-exp_binary32`
646×	`log1p-expm1-u_binary32`
646×	`expm1-log1p-u_binary32`
632×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	9
1	129	9
2	1717	9

Stop Event

1×	node limit

Counts

1 → 28

Calls

Call 1

Inputs
(sqrt.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 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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(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 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (pow.f32 (/.f32 1 (-.f32 1 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (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 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))))) (#(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 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)))) (#(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 (/.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)))))))))

simplify66.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

705×	`cancel-sign-sub-inv_binary32`
652×	`fma-neg_binary32`
580×	`associate-/r*_binary32`
579×	`times-frac_binary32`
543×	`unswap-sqr_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	45	216
1	127	207
2	349	190
3	1144	139
4	5961	137

Stop Event

1×	node limit

Counts

36 → 41

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

localize114.0ms (1.1%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 42 to 28 computations (33.3% saved)

series9.0ms (0.1%)

Counts

3 → 36

Calls

15 calls:

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

rewrite158.0ms (1.5%)

Algorithm

1×	batch-egg-rewrite

Rules

600×	`log-prod_binary32`
357×	`pow-prod-down_binary32`
310×	`pow2_binary32`
303×	`prod-diff_binary32`
217×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	36
1	249	36
2	3145	36

Stop Event

1×	node limit

Counts

3 → 96

Calls

Call 1

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

Outputs

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

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

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

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

731×	`associate-*r/_binary32`
587×	`distribute-rgt-out_binary32`
528×	`distribute-lft-out_binary32`
503×	`associate-/l/_binary32`
467×	`unswap-sqr_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	101	867
1	282	824
2	840	750
3	3199	646
4	6641	632

Stop Event

1×	node limit

Counts

132 → 132

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

localize69.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.2b	(/.f32 u1 (-.f32 1 u1))
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	14.1b	(log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))

Compiler

Compiled 56 to 40 computations (28.6% saved)

series3.0ms (0%)

Counts

2 → 32

Calls

9 calls:

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

rewrite66.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

569×	`log-prod_binary32`
333×	`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	13	24
1	250	24
2	3004	24

Stop Event

1×	node limit

Counts

2 → 86

Calls

Call 1

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

Outputs

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

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

752×	`associate-*r/_binary32`
513×	`associate-/l/_binary32`
389×	`unswap-sqr_binary32`
348×	`fma-def_binary32`
306×	`distribute-rgt-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	796
1	273	745
2	844	679
3	3079	579
4	7006	579

Stop Event

1×	node limit

Counts

118 → 121

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

localize112.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f32 u1 (-.f32 1 u1))
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	0.6b	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)
✓	1.2b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)

Compiler

Compiled 65 to 49 computations (24.6% saved)

series7.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	0	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)
2.0ms	u1	@	inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)
2.0ms	u1	@	-inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)
1.0ms	u1	@	0	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)
0.0ms	u1	@	inf	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)

rewrite71.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

857×	`pow1_binary32`
813×	`add-log-exp_binary32`
812×	`log1p-expm1-u_binary32`
812×	`expm1-log1p-u_binary32`
796×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	203	17
2	2244	17

Stop Event

1×	node limit

Counts

2 → 57

Calls

Call 1

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

Outputs

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

simplify67.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

863×	`distribute-rgt-in_binary32`
861×	`distribute-lft-in_binary32`
622×	`associate-+l+_binary32`
560×	`times-frac_binary32`
280×	`associate-/l*_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	1066
1	619	808
2	2582	708

Stop Event

1×	node limit

Counts

81 → 90

Calls

Call 1

Inputs
u1
(+.f32 (.f32 (+.f32 (.f32 (sqrt.f32 u1) (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1)))) (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (*.f32 1/6 (sqrt.f32 u1))) (sqrt.f32 u1))) u1) u1)
(+.f32 (.f32 (+.f32 (.f32 (sqrt.f32 u1) (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1)))) (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) (sqrt.f32 u1))) u1) (+.f32 (.f32 (+.f32 (pow.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) 2) (.f32 2 (.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)))) (sqrt.f32 u1)))) (pow.f32 u1 2)) u1))
(+.f32 (.f32 (+.f32 (.f32 (sqrt.f32 u1) (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1)))) (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) (sqrt.f32 u1))) u1) (+.f32 (.f32 (+.f32 (pow.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) 2) (.f32 2 (.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)))) (sqrt.f32 u1)))) (pow.f32 u1 2)) (+.f32 (.f32 (+.f32 (.f32 2 (.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 7/216 (sqrt.f32 u1)) (.f32 (+.f32 (.f32 7/216 (pow.f32 (.f32 1 u1) 1/3)) (.f32 91/648 (pow.f32 (.f32 1 u1) 1/3))) (pow.f32 (.f32 1 u1) 1/6))))) (sqrt.f32 u1))) (.f32 2 (.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)))) (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1)))))) (pow.f32 u1 3)) u1)))
(pow.f32 (sqrt.f32 -1) 2)
(+.f32 (.f32 2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/6 (sqrt.f32 -1)) (.f32 1/3 (sqrt.f32 -1)))) u1)) (pow.f32 (sqrt.f32 -1) 2))
(+.f32 (.f32 2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/6 (sqrt.f32 -1)) (.f32 1/3 (sqrt.f32 -1)))) u1)) (+.f32 (.f32 2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.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 1/18 (sqrt.f32 -1)) (.f32 7/72 (sqrt.f32 -1))))) (pow.f32 u1 2))) (+.f32 (/.f32 (pow.f32 (+.f32 (.f32 1/6 (sqrt.f32 -1)) (*.f32 1/3 (sqrt.f32 -1))) 2) (pow.f32 u1 2)) (pow.f32 (sqrt.f32 -1) 2))))
(+.f32 (.f32 2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 1/6 (sqrt.f32 -1)) (.f32 1/3 (sqrt.f32 -1)))) u1)) (+.f32 (.f32 2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.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 1/18 (sqrt.f32 -1)) (.f32 7/72 (sqrt.f32 -1))))) (pow.f32 u1 2))) (+.f32 (/.f32 (pow.f32 (+.f32 (.f32 1/6 (sqrt.f32 -1)) (.f32 1/3 (sqrt.f32 -1))) 2) (pow.f32 u1 2)) (+.f32 (pow.f32 (sqrt.f32 -1) 2) (+.f32 (.f32 2 (/.f32 (.f32 (+.f32 (.f32 1/6 (sqrt.f32 -1)) (.f32 1/3 (sqrt.f32 -1))) (+.f32 (.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 1/18 (sqrt.f32 -1)) (.f32 7/72 (sqrt.f32 -1))))) (pow.f32 u1 3))) (.f32 2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 (pow.f32 -1 1/6) (+.f32 (.f32 91/648 (pow.f32 -1 1/3)) (.f32 7/216 (pow.f32 -1 1/3)))) (+.f32 (.f32 91/1296 (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 7/216 (sqrt.f32 -1)))))) (pow.f32 u1 3))))))))
(pow.f32 (sqrt.f32 -1) 2)
(+.f32 (.f32 -2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/6 (sqrt.f32 -1)) (.f32 -1/3 (sqrt.f32 -1)))) u1)) (pow.f32 (sqrt.f32 -1) 2))
(+.f32 (.f32 2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.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 1/18 (sqrt.f32 -1)) (.f32 7/72 (sqrt.f32 -1))))) (pow.f32 u1 2))) (+.f32 (/.f32 (pow.f32 (+.f32 (.f32 -1/6 (sqrt.f32 -1)) (.f32 -1/3 (sqrt.f32 -1))) 2) (pow.f32 u1 2)) (+.f32 (.f32 -2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/6 (sqrt.f32 -1)) (*.f32 -1/3 (sqrt.f32 -1)))) u1)) (pow.f32 (sqrt.f32 -1) 2))))
(+.f32 (.f32 2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.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 1/18 (sqrt.f32 -1)) (.f32 7/72 (sqrt.f32 -1))))) (pow.f32 u1 2))) (+.f32 (/.f32 (pow.f32 (+.f32 (.f32 -1/6 (sqrt.f32 -1)) (.f32 -1/3 (sqrt.f32 -1))) 2) (pow.f32 u1 2)) (+.f32 (.f32 -2 (/.f32 (.f32 (sqrt.f32 -1) (+.f32 (.f32 -1/6 (sqrt.f32 -1)) (.f32 -1/3 (sqrt.f32 -1)))) u1)) (+.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 -1 (/.f32 (+.f32 (.f32 2 (.f32 (+.f32 (.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 1/18 (sqrt.f32 -1)) (.f32 7/72 (sqrt.f32 -1)))) (+.f32 (.f32 -1/6 (sqrt.f32 -1)) (.f32 -1/3 (sqrt.f32 -1))))) (.f32 2 (.f32 (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 -7/216 (sqrt.f32 -1)) (+.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))))

Outputs
u1
(+.f32 (.f32 (+.f32 (.f32 (sqrt.f32 u1) (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1)))) (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (*.f32 1/6 (sqrt.f32 u1))) (sqrt.f32 u1))) u1) u1)
(fma.f32 (fma.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) 1/2) (.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) 1/2))) u1 u1)
(fma.f32 u1 (.f32 2 (.f32 (sqrt.f32 u1) (*.f32 (sqrt.f32 u1) 1/2))) u1)
(fma.f32 u1 u1 u1)
(+.f32 (.f32 (+.f32 (.f32 (sqrt.f32 u1) (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1)))) (.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) (sqrt.f32 u1))) u1) (+.f32 (.f32 (+.f32 (pow.f32 (+.f32 (.f32 1/3 (sqrt.f32 u1)) (.f32 1/6 (sqrt.f32 u1))) 2) (.f32 2 (.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)))) (sqrt.f32 u1)))) (pow.f32 u1 2)) u1))
(fma.f32 (fma.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) 1/2) (.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) 1/2))) u1 (fma.f32 (+.f32 (pow.f32 (.f32 (sqrt.f32 u1) 1/2) 2) (.f32 2 (.f32 (sqrt.f32 u1) (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) u1))
(fma.f32 u1 (.f32 2 (.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) 1/2))) (fma.f32 (fma.f32 2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (cbrt.f32 u1) (.f32 2/9 (pow.f32 u1 1/6))) (.f32 (sqrt.f32 u1) 11/72))) (pow.f32 (.f32 (sqrt.f32 u1) 1/2) 2)) (*.f32 u1 u1) u1))
(fma.f32 u1 u1 (fma.f32 (fma.f32 2 (.f32 (sqrt.f32 u1) (+.f32 (.f32 (pow.f32 (pow.f32 u1 1/6) 3) 2/9) (.f32 (sqrt.f32 u1) 11/72))) (.f32 u1 1/4)) (*.f32 u1 u1) u1))
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(fma.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (pow.f32 -1 1/6))
(fma.f32 1/6 (/.f32 (pow.f32 -1 1/6) u1) (pow.f32 -1 1/6))
(*.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/6 u1) 1))
(+.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)))
(fma.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (.f32 u1 u1))) (fma.f32 1/6 (*.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (pow.f32 -1 1/6)))
(fma.f32 7/72 (/.f32 (pow.f32 -1 1/6) (*.f32 u1 u1)) (fma.f32 1/6 (/.f32 (pow.f32 -1 1/6) u1) (pow.f32 -1 1/6)))
(+.f32 (pow.f32 -1 1/6) (.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/6 u1) (/.f32 7/72 (.f32 u1 u1)))))
(+.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))))
(fma.f32 7/72 (.f32 (pow.f32 -1 1/6) (/.f32 1 (.f32 u1 u1))) (fma.f32 1/6 (.f32 (pow.f32 -1 1/6) (/.f32 1 u1)) (fma.f32 91/1296 (.f32 (pow.f32 -1 1/6) (/.f32 1 (pow.f32 u1 3))) (pow.f32 -1 1/6))))
(fma.f32 7/72 (/.f32 (pow.f32 -1 1/6) (*.f32 u1 u1)) (fma.f32 1/6 (/.f32 (pow.f32 -1 1/6) u1) (fma.f32 91/1296 (/.f32 (pow.f32 -1 1/6) (pow.f32 u1 3)) (pow.f32 -1 1/6))))
(+.f32 (.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 91/1296 (pow.f32 u1 3)) 1)) (.f32 (pow.f32 -1 1/6) (+.f32 (/.f32 1/6 u1) (/.f32 7/72 (*.f32 u1 u1)))))

eval759.0ms (7.3%)

Compiler: Compiled 15824 to 12460 computations (21.3% saved)

prune411.0ms (4%)

Pruning

43 alts after pruning (39 fresh and 4 done)

	Pruned	Kept	Total
New	808	31	839
Fresh	13	8	21
Picked	1	0	1
Done	1	4	5
Total	823	43	866

Error

0.0b

Counts

866 → 43

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (pow.f32 (-.f32 1 u1) 1/4) 2))
	2.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (.f32 u1 (+.f32 -1/2 (.f32 u1 (+.f32 -1/8 (*.f32 u1 -1/16)))))))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
	0.5b	(expm1.f32 (log1p.f32 (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	3.2b	(exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1/3))
	1.4b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -3/2) 2/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))))))
	0.4b	(.f32 (sqrt.f32 (.f32 1/3 (.f32 3 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	13.4b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 u1) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) -1/2)))
	7.1b	(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))
	0.6b	(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	6.9b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
▶	10.4b	(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.6b	(.f32 (sqrt.f32 u1) (/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))))
▶	7.1b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	0.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	1.4b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
▶	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))
	1.1b	(.f32 (sqrt.f32 (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 6) (pow.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) 6))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	6.9b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
▶	12.6b	(sqrt.f32 u1)
	7.0b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	0.3b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.6b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
	0.3b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	4.2b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
	1.4b	(.f32 (sqrt.f32 (exp.f32 (.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	8.8b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.8b	(/.f32 (exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))))) (sqrt.f32 (-.f32 1 u1)))
	3.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000 1))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.9b	(sqrt.f32 (/.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (-.f32 1 u1)))
	10.6b	(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
	9.4b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 u1 1/6) 6)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	10.0b	(sqrt.f32 (fma.f32 u1 u1 u1))
	14.8b	(.f32 (sqrt.f32 (+.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))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.0b	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	7.0b	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))

Compiler

Compiled 1332 to 1085 computations (18.5% saved)

localize183.0ms (1.8%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 56 to 33 computations (41.1% saved)

series8.0ms (0.1%)

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))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
1.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
1.0ms	u2	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))

rewrite110.0ms (1.1%)

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	40
1	271	30
2	3335	30

Stop Event

1×	node limit

Counts

3 → 62

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)))))

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

simplify111.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

764×	`associate-*r/_binary32`
644×	`distribute-lft-out_binary32`
528×	`distribute-rgt-out_binary32`
503×	`associate-/l/_binary32`
433×	`*-commutative_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	91	828
1	250	786
2	724	730
3	2742	628
4	6332	614

Stop Event

1×	node limit

Counts

106 → 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))))
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)))))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.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)))
(.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)))
(+.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 -1/2 (/.f32 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)) u1)))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (+.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 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 (cos.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 -1)) (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (.f32 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))))
(+.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 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 (cos.f32 (.f32 u2 314159265359/50000000000)) (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 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) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (cos.f32 (.f32 u2 314159265359/50000000000)))))))
(fma.f32 -1/2 (.f32 (/.f32 (/.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (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 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))))
(+.f32 (.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 (/.f32 -3/8 u1) (/.f32 -5/16 (.f32 u1 u1))))))
(.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))))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))) u1)))
(fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 (/.f32 (sqrt.f32 -1) u1) (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 1/2)))
(.f32 (+.f32 (/.f32 1/2 u1) 1) (.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 (.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 (.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)))) (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)))))
(fma.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))) u1) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 3/8 (/.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))) 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))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (+.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 (.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))))))
(fma.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))) u1) (fma.f32 3/8 (/.f32 (/.f32 (.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000))) u1) u1) (fma.f32 (sqrt.f32 -1) (cos.f32 (.f32 u2 314159265359/50000000000)) (.f32 5/16 (/.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)) (/.f32 (pow.f32 u1 3) (sqrt.f32 -1)))))))
(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 (.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (/.f32 (sqrt.f32 -1) (*.f32 u1 u1))) (+.f32 3/8 (/.f32 5/16 u1)))))
(+.f32 (.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 (/.f32 5/16 (.f32 u1 u1)) (/.f32 3/8 u1)))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (+.f32 (.f32 (/.f32 (/.f32 (sqrt.f32 -1) u1) u1) (+.f32 3/8 (/.f32 5/16 u1))) (+.f32 (sqrt.f32 -1) (.f32 1/2 (/.f32 (sqrt.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))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (fma.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 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 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 4)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 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 (.f32 u2 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.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 (*.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (.f32 (fma.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 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000)) (*.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))))
(fma.f32 (.f32 u2 u2) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) -98696044010906577398881/5000000000000000000000) (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1))))
(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) (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 u2 314159265359/50000000000)) (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 u2 314159265359/50000000000)) (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 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (cos.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 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)
(fma.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000 1)
(fma.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000) 1)
(+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (pow.f32 u2 2)) (+.f32 1 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4))))
(+.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4)))
(fma.f32 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000 (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1))
(fma.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000) (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 (*.f32 u2 u2) -98696044010906577398881/5000000000000000000000 (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) 1)))
(fma.f32 u2 (*.f32 u2 -98696044010906577398881/5000000000000000000000) (fma.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (pow.f32 u2 4) (fma.f32 -961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 6) 1)))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 -314159265359/50000000000))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 -314159265359/50000000000))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 -314159265359/50000000000))
(cos.f32 (*.f32 -314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 -314159265359/50000000000))

localize13.0ms (0.1%)

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

localize141.0ms (1.4%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.5b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)

Compiler

Compiled 31 to 23 computations (25.8% saved)

series13.0ms (0.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
6.0ms	u1	@	0	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
3.0ms	u1	@	inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
1.0ms	u1	@	-inf	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
1.0ms	u1	@	0	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)
1.0ms	u1	@	inf	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)

rewrite82.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

887×	`pow1_binary32`
834×	`add-log-exp_binary32`
833×	`log1p-expm1-u_binary32`
833×	`expm1-log1p-u_binary32`
816×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	20
1	201	19
2	2386	19

Stop Event

1×	node limit

Counts

2 → 43

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
(pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)

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 u1 (-.f32 1 u1))))))) (#(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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (*.f32 (cbrt.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 (sqrt.f32 u1) (sqrt.f32 (/.f32 1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 u1) (pow.f32 (/.f32 1 (-.f32 1 u1)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/8) (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/8) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/8)) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2)) (sqrt.f32 (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 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/2) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)))))) (#(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 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 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 1 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/8) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/8))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (sqrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 u1 1/4) (pow.f32 (/.f32 1 (-.f32 1 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 1 1/4) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 2) 1/4) (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f32 (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/4) (pow.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f32 (exp.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f32 (log1p.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f32 (expm1.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f32 (*.f32 1/4 (log.f32 (/.f32 u1 (-.f32 1 u1)))))))))

simplify81.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

632×	`associate-/l*_binary32`
553×	`associate-*l/_binary32`
441×	`associate-/r*_binary32`
427×	`fma-def_binary32`
361×	`associate-*r/_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	95	611
1	270	515
2	807	476
3	3065	423

Stop Event

1×	node limit

Counts

67 → 72

Calls

Call 1

Inputs
(sqrt.f32 u1)
(+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))
(+.f32 (.f32 (+.f32 (.f32 1/16 (sqrt.f32 u1)) (.f32 5/16 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (sqrt.f32 u1) (.f32 1/2 (sqrt.f32 (pow.f32 u1 3)))))
(+.f32 (.f32 (+.f32 (.f32 5/64 (sqrt.f32 u1)) (.f32 15/64 (sqrt.f32 u1))) (pow.f32 u1 3)) (+.f32 (.f32 (+.f32 (.f32 1/16 (sqrt.f32 u1)) (.f32 5/16 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 15/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -5/64 (sqrt.f32 -1)) (.f32 -15/64 (sqrt.f32 -1))) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))))
(pow.f32 u1 1/4)
(+.f32 (pow.f32 u1 1/4) (.f32 1/4 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)))
(+.f32 (pow.f32 u1 1/4) (+.f32 (.f32 1/4 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)) (.f32 5/32 (pow.f32 (.f32 1 (pow.f32 u1 9)) 1/4))))
(+.f32 (pow.f32 u1 1/4) (+.f32 (.f32 1/4 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)) (+.f32 (.f32 15/128 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/4)) (.f32 5/32 (pow.f32 (.f32 1 (pow.f32 u1 9)) 1/4)))))
(pow.f32 -1 1/4)
(+.f32 (.f32 1/4 (.f32 (pow.f32 -1 1/4) (/.f32 1 u1))) (pow.f32 -1 1/4))
(+.f32 (.f32 1/4 (.f32 (pow.f32 -1 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 -1 1/4) (.f32 5/32 (.f32 (pow.f32 -1 1/4) (/.f32 1 (pow.f32 u1 2))))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 -1 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 -1 1/4) (+.f32 (.f32 15/128 (.f32 (pow.f32 -1 1/4) (/.f32 1 (pow.f32 u1 3)))) (.f32 5/32 (.f32 (pow.f32 -1 1/4) (/.f32 1 (pow.f32 u1 2)))))))
(pow.f32 -1 1/4)
(+.f32 (.f32 1/4 (.f32 (pow.f32 -1 1/4) (/.f32 1 u1))) (pow.f32 -1 1/4))
(+.f32 (.f32 1/4 (.f32 (pow.f32 -1 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 -1 1/4) (.f32 5/32 (.f32 (pow.f32 -1 1/4) (/.f32 1 (pow.f32 u1 2))))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 -1 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 -1 1/4) (+.f32 (.f32 15/128 (.f32 (pow.f32 -1 1/4) (/.f32 1 (pow.f32 u1 3)))) (.f32 5/32 (.f32 (pow.f32 -1 1/4) (/.f32 1 (pow.f32 u1 2)))))))

Outputs
(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 (.f32 (+.f32 (.f32 1/16 (sqrt.f32 u1)) (.f32 5/16 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (sqrt.f32 u1) (.f32 1/2 (sqrt.f32 (pow.f32 u1 3)))))
(fma.f32 (.f32 (sqrt.f32 u1) 3/8) (.f32 u1 u1) (+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3)))))
(fma.f32 (.f32 (sqrt.f32 u1) 3/8) (.f32 u1 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1)))
(fma.f32 u1 (.f32 u1 (.f32 (sqrt.f32 u1) 3/8)) (fma.f32 1/2 (pow.f32 u1 3/2) (sqrt.f32 u1)))
(fma.f32 u1 (*.f32 (pow.f32 u1 3/2) 3/8) (fma.f32 1/2 (pow.f32 u1 3/2) (sqrt.f32 u1)))
(+.f32 (.f32 (+.f32 (.f32 5/64 (sqrt.f32 u1)) (.f32 15/64 (sqrt.f32 u1))) (pow.f32 u1 3)) (+.f32 (.f32 (+.f32 (.f32 1/16 (sqrt.f32 u1)) (.f32 5/16 (sqrt.f32 u1))) (pow.f32 u1 2)) (+.f32 (sqrt.f32 u1) (*.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))))
(fma.f32 (.f32 (sqrt.f32 u1) 5/16) (pow.f32 u1 3) (fma.f32 (.f32 (sqrt.f32 u1) 3/8) (.f32 u1 u1) (+.f32 (sqrt.f32 u1) (.f32 1/2 (sqrt.f32 (pow.f32 u1 3))))))
(fma.f32 (pow.f32 u1 3) (.f32 (sqrt.f32 u1) 5/16) (fma.f32 (.f32 (sqrt.f32 u1) 3/8) (*.f32 u1 u1) (fma.f32 1/2 (sqrt.f32 (pow.f32 u1 3)) (sqrt.f32 u1))))
(+.f32 (fma.f32 1/2 (pow.f32 u1 3/2) (sqrt.f32 u1)) (.f32 (sqrt.f32 u1) (+.f32 (.f32 (.f32 u1 u1) 3/8) (.f32 (pow.f32 u1 3) 5/16))))
(+.f32 (fma.f32 1/2 (pow.f32 u1 3/2) (sqrt.f32 u1)) (.f32 u1 (.f32 u1 (.f32 (sqrt.f32 u1) (+.f32 (.f32 u1 5/16) 3/8)))))
(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 (sqrt.f32 -1) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (sqrt.f32 -1) (fma.f32 1/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) 3/8) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(fma.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) 3/8 (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(fma.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) 3/8 (.f32 (+.f32 (/.f32 1/2 u1) 1) (sqrt.f32 -1)))
(+.f32 (.f32 15/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))))
(fma.f32 15/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (+.f32 (sqrt.f32 -1) (fma.f32 5/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 1/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))))
(+.f32 (fma.f32 5/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (+.f32 (.f32 1/2 (/.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) 3/8))) (fma.f32 15/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (fma.f32 15/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) 3/8 (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 5/64 (*.f32 u1 u1)))))))
(+.f32 (.f32 (+.f32 (/.f32 1/2 u1) 1) (sqrt.f32 -1)) (.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 3/8 (/.f32 5/16 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 (sqrt.f32 -1) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (sqrt.f32 -1) (fma.f32 1/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))
(+.f32 (.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) 3/8) (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(fma.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) 3/8 (fma.f32 1/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1)))
(fma.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) 3/8 (.f32 (+.f32 (/.f32 1/2 u1) 1) (sqrt.f32 -1)))
(+.f32 (.f32 -1 (/.f32 (+.f32 (.f32 -5/64 (sqrt.f32 -1)) (.f32 -15/64 (sqrt.f32 -1))) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 5/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (+.f32 (.f32 1/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))) (.f32 1/2 (/.f32 (sqrt.f32 -1) u1))))))
(fma.f32 15/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (+.f32 (sqrt.f32 -1) (fma.f32 5/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 5/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (fma.f32 1/16 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) (*.f32 1/2 (/.f32 (sqrt.f32 -1) u1)))))))
(+.f32 (fma.f32 5/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (+.f32 (.f32 1/2 (/.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) 3/8))) (fma.f32 15/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (fma.f32 15/64 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (fma.f32 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)) 3/8 (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 1/2 (/.f32 5/64 (*.f32 u1 u1)))))))
(+.f32 (.f32 (+.f32 (/.f32 1/2 u1) 1) (sqrt.f32 -1)) (.f32 (/.f32 (sqrt.f32 -1) (*.f32 u1 u1)) (+.f32 3/8 (/.f32 5/16 u1))))
(pow.f32 u1 1/4)
(+.f32 (pow.f32 u1 1/4) (.f32 1/4 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)))
(+.f32 (pow.f32 u1 1/4) (*.f32 1/4 (pow.f32 (pow.f32 u1 5) 1/4)))
(fma.f32 1/4 (pow.f32 (pow.f32 u1 5) 1/4) (pow.f32 u1 1/4))
(+.f32 (pow.f32 u1 1/4) (+.f32 (.f32 1/4 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)) (.f32 5/32 (pow.f32 (.f32 1 (pow.f32 u1 9)) 1/4))))
(+.f32 (pow.f32 u1 1/4) (fma.f32 1/4 (pow.f32 (pow.f32 u1 5) 1/4) (*.f32 5/32 (pow.f32 (pow.f32 u1 9) 1/4))))
(fma.f32 1/4 (pow.f32 (pow.f32 u1 5) 1/4) (fma.f32 5/32 (pow.f32 (pow.f32 u1 9) 1/4) (pow.f32 u1 1/4)))
(+.f32 (pow.f32 u1 1/4) (+.f32 (.f32 1/4 (pow.f32 (.f32 1 (pow.f32 u1 5)) 1/4)) (+.f32 (.f32 15/128 (pow.f32 (.f32 1 (pow.f32 u1 13)) 1/4)) (.f32 5/32 (pow.f32 (.f32 1 (pow.f32 u1 9)) 1/4)))))
(+.f32 (pow.f32 u1 1/4) (fma.f32 1/4 (pow.f32 (pow.f32 u1 5) 1/4) (fma.f32 15/128 (pow.f32 (pow.f32 u1 13) 1/4) (*.f32 5/32 (pow.f32 (pow.f32 u1 9) 1/4)))))
(+.f32 (pow.f32 u1 1/4) (fma.f32 1/4 (pow.f32 (pow.f32 u1 5) 1/4) (fma.f32 5/32 (pow.f32 (pow.f32 u1 9) 1/4) (*.f32 15/128 (pow.f32 (pow.f32 u1 13) 1/4)))))
(+.f32 (fma.f32 15/128 (pow.f32 (pow.f32 u1 13) 1/4) (*.f32 1/4 (pow.f32 (pow.f32 u1 5) 1/4))) (fma.f32 5/32 (pow.f32 (pow.f32 u1 9) 1/4) (pow.f32 u1 1/4)))
(+.f32 (fma.f32 1/4 (pow.f32 (pow.f32 u1 5) 1/4) (pow.f32 u1 1/4)) (fma.f32 5/32 (pow.f32 (pow.f32 u1 9) 1/4) (*.f32 15/128 (pow.f32 (pow.f32 u1 13) 1/4))))
(pow.f32 -1 1/4)
(+.f32 (.f32 1/4 (.f32 (pow.f32 -1 1/4) (/.f32 1 u1))) (pow.f32 -1 1/4))
(fma.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 1 u1)) (pow.f32 -1 1/4))
(fma.f32 1/4 (/.f32 (pow.f32 -1 1/4) u1) (pow.f32 -1 1/4))
(*.f32 (pow.f32 -1 1/4) (+.f32 (/.f32 1/4 u1) 1))
(+.f32 (.f32 1/4 (.f32 (pow.f32 -1 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 -1 1/4) (.f32 5/32 (.f32 (pow.f32 -1 1/4) (/.f32 1 (pow.f32 u1 2))))))
(+.f32 (fma.f32 1/4 (.f32 (pow.f32 -1 1/4) (/.f32 1 u1)) (pow.f32 -1 1/4)) (.f32 5/32 (.f32 (pow.f32 -1 1/4) (/.f32 1 (.f32 u1 u1)))))
(fma.f32 1/4 (/.f32 (pow.f32 -1 1/4) u1) (fma.f32 5/32 (/.f32 (pow.f32 -1 1/4) (*.f32 u1 u1)) (pow.f32 -1 1/4)))
(+.f32 (pow.f32 -1 1/4) (.f32 (pow.f32 -1 1/4) (+.f32 (/.f32 5/32 (.f32 u1 u1)) (/.f32 1/4 u1))))
(+.f32 (pow.f32 -1 1/4) (*.f32 (/.f32 (pow.f32 -1 1/4) u1) (+.f32 1/4 (/.f32 5/32 u1))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 -1 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 -1 1/4) (+.f32 (.f32 15/128 (.f32 (pow.f32 -1 1/4) (/.f32 1 (pow.f32 u1 3)))) (.f32 5/32 (.f32 (pow.f32 -1 1/4) (/.f32 1 (pow.f32 u1 2)))))))
(+.f32 (fma.f32 1/4 (.f32 (pow.f32 -1 1/4) (/.f32 1 u1)) (pow.f32 -1 1/4)) (fma.f32 15/128 (.f32 (pow.f32 -1 1/4) (/.f32 1 (pow.f32 u1 3))) (.f32 5/32 (.f32 (pow.f32 -1 1/4) (/.f32 1 (*.f32 u1 u1))))))
(+.f32 (fma.f32 1/4 (/.f32 (pow.f32 -1 1/4) u1) (pow.f32 -1 1/4)) (fma.f32 5/32 (/.f32 (pow.f32 -1 1/4) (.f32 u1 u1)) (.f32 15/128 (/.f32 (pow.f32 -1 1/4) (pow.f32 u1 3)))))
(+.f32 (.f32 (pow.f32 -1 1/4) (+.f32 (/.f32 15/128 (pow.f32 u1 3)) 1)) (.f32 (pow.f32 -1 1/4) (+.f32 (/.f32 5/32 (*.f32 u1 u1)) (/.f32 1/4 u1))))
(.f32 (pow.f32 -1 1/4) (+.f32 (+.f32 (/.f32 15/128 (pow.f32 u1 3)) 1) (+.f32 (/.f32 5/32 (.f32 u1 u1)) (/.f32 1/4 u1))))
(pow.f32 -1 1/4)
(+.f32 (.f32 1/4 (.f32 (pow.f32 -1 1/4) (/.f32 1 u1))) (pow.f32 -1 1/4))
(fma.f32 1/4 (*.f32 (pow.f32 -1 1/4) (/.f32 1 u1)) (pow.f32 -1 1/4))
(fma.f32 1/4 (/.f32 (pow.f32 -1 1/4) u1) (pow.f32 -1 1/4))
(*.f32 (pow.f32 -1 1/4) (+.f32 (/.f32 1/4 u1) 1))
(+.f32 (.f32 1/4 (.f32 (pow.f32 -1 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 -1 1/4) (.f32 5/32 (.f32 (pow.f32 -1 1/4) (/.f32 1 (pow.f32 u1 2))))))
(+.f32 (fma.f32 1/4 (.f32 (pow.f32 -1 1/4) (/.f32 1 u1)) (pow.f32 -1 1/4)) (.f32 5/32 (.f32 (pow.f32 -1 1/4) (/.f32 1 (.f32 u1 u1)))))
(fma.f32 1/4 (/.f32 (pow.f32 -1 1/4) u1) (fma.f32 5/32 (/.f32 (pow.f32 -1 1/4) (*.f32 u1 u1)) (pow.f32 -1 1/4)))
(+.f32 (pow.f32 -1 1/4) (.f32 (pow.f32 -1 1/4) (+.f32 (/.f32 5/32 (.f32 u1 u1)) (/.f32 1/4 u1))))
(+.f32 (pow.f32 -1 1/4) (*.f32 (/.f32 (pow.f32 -1 1/4) u1) (+.f32 1/4 (/.f32 5/32 u1))))
(+.f32 (.f32 1/4 (.f32 (pow.f32 -1 1/4) (/.f32 1 u1))) (+.f32 (pow.f32 -1 1/4) (+.f32 (.f32 15/128 (.f32 (pow.f32 -1 1/4) (/.f32 1 (pow.f32 u1 3)))) (.f32 5/32 (.f32 (pow.f32 -1 1/4) (/.f32 1 (pow.f32 u1 2)))))))
(+.f32 (fma.f32 1/4 (.f32 (pow.f32 -1 1/4) (/.f32 1 u1)) (pow.f32 -1 1/4)) (fma.f32 15/128 (.f32 (pow.f32 -1 1/4) (/.f32 1 (pow.f32 u1 3))) (.f32 5/32 (.f32 (pow.f32 -1 1/4) (/.f32 1 (*.f32 u1 u1))))))
(+.f32 (fma.f32 1/4 (/.f32 (pow.f32 -1 1/4) u1) (pow.f32 -1 1/4)) (fma.f32 5/32 (/.f32 (pow.f32 -1 1/4) (.f32 u1 u1)) (.f32 15/128 (/.f32 (pow.f32 -1 1/4) (pow.f32 u1 3)))))
(+.f32 (.f32 (pow.f32 -1 1/4) (+.f32 (/.f32 15/128 (pow.f32 u1 3)) 1)) (.f32 (pow.f32 -1 1/4) (+.f32 (/.f32 5/32 (*.f32 u1 u1)) (/.f32 1/4 u1))))
(.f32 (pow.f32 -1 1/4) (+.f32 (+.f32 (/.f32 15/128 (pow.f32 u1 3)) 1) (+.f32 (/.f32 5/32 (.f32 u1 u1)) (/.f32 1/4 u1))))

localize37.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	0.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	6.0b	(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))

Compiler

Compiled 34 to 24 computations (29.4% saved)

series4.0ms (0%)

Counts

2 → 17

Calls

6 calls:

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

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

759×	`pow1_binary32`
708×	`add-log-exp_binary32`
708×	`log1p-expm1-u_binary32`
708×	`expm1-log1p-u_binary32`
692×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	152	20
2	1903	20

Stop Event

1×	node limit

Counts

2 → 50

Calls

Call 1

Inputs
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

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

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

833×	`associate-/l*_binary32`
663×	`associate-*l/_binary32`
454×	`associate-*r/_binary32`
425×	`associate-/l/_binary32`
358×	`fma-def_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	100	623
1	291	558
2	881	503
3	2961	377

Stop Event

1×	node limit

Counts

67 → 77

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 (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)))))
1
(exp.f32 (sqrt.f32 -1))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 (sqrt.f32 -1)) (.f32 (sqrt.f32 -1) u1))) (exp.f32 (sqrt.f32 -1)))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 (sqrt.f32 -1)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (/.f32 (.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1))) (*.f32 1/8 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)))) (exp.f32 (sqrt.f32 -1))) (pow.f32 u1 2)) (exp.f32 (sqrt.f32 -1))))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 (sqrt.f32 -1)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (/.f32 (.f32 (exp.f32 (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) (sqrt.f32 -1))) (.f32 1/4 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)))) (.f32 1/48 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3))))) (pow.f32 u1 3)) (+.f32 (/.f32 (.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1))) (.f32 1/8 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)))) (exp.f32 (sqrt.f32 -1))) (pow.f32 u1 2)) (exp.f32 (sqrt.f32 -1)))))
(exp.f32 (sqrt.f32 -1))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (exp.f32 (sqrt.f32 -1))) u1)) (exp.f32 (sqrt.f32 -1)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (exp.f32 (sqrt.f32 -1))) u1)) (+.f32 (exp.f32 (sqrt.f32 -1)) (/.f32 (.f32 (exp.f32 (sqrt.f32 -1)) (+.f32 (.f32 1/8 (pow.f32 (sqrt.f32 -1) 2)) (*.f32 3/8 (sqrt.f32 -1)))) (pow.f32 u1 2))))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (exp.f32 (sqrt.f32 -1))) u1)) (+.f32 (/.f32 (.f32 (+.f32 (.f32 1/8 (pow.f32 (sqrt.f32 -1) 2)) (.f32 3/8 (sqrt.f32 -1))) (exp.f32 (sqrt.f32 -1))) (pow.f32 u1 2)) (+.f32 (exp.f32 (sqrt.f32 -1)) (.f32 -1 (/.f32 (.f32 (exp.f32 (sqrt.f32 -1)) (+.f32 (.f32 -3/16 (pow.f32 (sqrt.f32 -1) 2)) (+.f32 (.f32 -5/16 (sqrt.f32 -1)) (.f32 -1/48 (pow.f32 (sqrt.f32 -1) 3))))) (pow.f32 u1 3))))))

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 (/.f32 -1/2 u1) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (/.f32 -1/2 (*.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 (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 (+.f32 (sqrt.f32 -1) (/.f32 (/.f32 -1/2 u1) (sqrt.f32 -1))) (/.f32 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) (.f32 (sqrt.f32 -1) (.f32 u1 u1))))
(+.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 (/.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 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 (/.f32 5/16 (.f32 u1 u1)) 1/2))))
1
(exp.f32 (sqrt.f32 -1))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 (sqrt.f32 -1)) (.f32 (sqrt.f32 -1) u1))) (exp.f32 (sqrt.f32 -1)))
(fma.f32 -1/2 (/.f32 (exp.f32 (sqrt.f32 -1)) (*.f32 (sqrt.f32 -1) u1)) (exp.f32 (sqrt.f32 -1)))
(.f32 (+.f32 (/.f32 -1/2 (.f32 (sqrt.f32 -1) u1)) 1) (exp.f32 (sqrt.f32 -1)))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 (sqrt.f32 -1)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (/.f32 (.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1))) (*.f32 1/8 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)))) (exp.f32 (sqrt.f32 -1))) (pow.f32 u1 2)) (exp.f32 (sqrt.f32 -1))))
(fma.f32 -1/2 (/.f32 (exp.f32 (sqrt.f32 -1)) (.f32 (sqrt.f32 -1) u1)) (+.f32 (exp.f32 (sqrt.f32 -1)) (/.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 1/8 (pow.f32 (sqrt.f32 -1) 2))) (/.f32 (.f32 u1 u1) (exp.f32 (sqrt.f32 -1))))))
(+.f32 (exp.f32 (sqrt.f32 -1)) (fma.f32 -1/2 (/.f32 (exp.f32 (sqrt.f32 -1)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (exp.f32 (sqrt.f32 -1)) u1) (/.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) -1/8) u1))))
(+.f32 (exp.f32 (sqrt.f32 -1)) (*.f32 (/.f32 (exp.f32 (sqrt.f32 -1)) u1) (+.f32 (/.f32 -1/2 (sqrt.f32 -1)) (/.f32 (+.f32 (/.f32 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) (sqrt.f32 -1)) -1/8) u1))))
(.f32 (exp.f32 (sqrt.f32 -1)) (+.f32 (/.f32 -1/2 (.f32 (sqrt.f32 -1) u1)) (+.f32 (/.f32 (+.f32 (/.f32 -3/8 (sqrt.f32 -1)) -1/8) (*.f32 u1 u1)) 1)))
(+.f32 (.f32 -1/2 (/.f32 (exp.f32 (sqrt.f32 -1)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (/.f32 (.f32 (exp.f32 (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) (sqrt.f32 -1))) (.f32 1/4 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)))) (.f32 1/48 (/.f32 1 (pow.f32 (sqrt.f32 -1) 3))))) (pow.f32 u1 3)) (+.f32 (/.f32 (.f32 (+.f32 (.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1))) (.f32 1/8 (/.f32 1 (pow.f32 (sqrt.f32 -1) 2)))) (exp.f32 (sqrt.f32 -1))) (pow.f32 u1 2)) (exp.f32 (sqrt.f32 -1)))))
(fma.f32 -1/2 (/.f32 (exp.f32 (sqrt.f32 -1)) (.f32 (sqrt.f32 -1) u1)) (+.f32 (+.f32 (exp.f32 (sqrt.f32 -1)) (/.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) (/.f32 1/8 (pow.f32 (sqrt.f32 -1) 2))) (/.f32 (.f32 u1 u1) (exp.f32 (sqrt.f32 -1))))) (/.f32 (exp.f32 (sqrt.f32 -1)) (/.f32 (pow.f32 u1 3) (-.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) (sqrt.f32 -1)) (*.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (pow.f32 (sqrt.f32 -1) 2)) 1/4)) (/.f32 1/48 (pow.f32 (sqrt.f32 -1) 3)))))))
(+.f32 (+.f32 (exp.f32 (sqrt.f32 -1)) (fma.f32 -1/2 (/.f32 (exp.f32 (sqrt.f32 -1)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (exp.f32 (sqrt.f32 -1)) u1) (/.f32 (fma.f32 -1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) (sqrt.f32 -1)) -1/8) u1)))) (.f32 (/.f32 (exp.f32 (sqrt.f32 -1)) (pow.f32 u1 3)) (-.f32 (fma.f32 -1/2 (/.f32 (fma.f32 1/2 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1) (sqrt.f32 -1)) (.f32 (/.f32 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2)) -1) 1/4)) (/.f32 -1/48 (sqrt.f32 -1)))))
(+.f32 (.f32 (/.f32 (exp.f32 (sqrt.f32 -1)) u1) (+.f32 (/.f32 -1/2 (sqrt.f32 -1)) (/.f32 (+.f32 (/.f32 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) (sqrt.f32 -1)) -1/8) u1))) (fma.f32 (/.f32 (exp.f32 (sqrt.f32 -1)) (pow.f32 u1 3)) (+.f32 (/.f32 (fma.f32 -1/2 (fma.f32 -1/2 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2) -1/2) -1/2) (sqrt.f32 -1)) (+.f32 (.f32 -1/4 (+.f32 1 (pow.f32 (/.f32 -1/2 (sqrt.f32 -1)) 2))) (/.f32 1/48 (sqrt.f32 -1)))) (exp.f32 (sqrt.f32 -1))))
(+.f32 (exp.f32 (sqrt.f32 -1)) (.f32 (/.f32 (exp.f32 (sqrt.f32 -1)) u1) (+.f32 (/.f32 -1/2 (sqrt.f32 -1)) (+.f32 (/.f32 (+.f32 (/.f32 -3/8 (sqrt.f32 -1)) -1/8) u1) (/.f32 (+.f32 (/.f32 -5/16 (sqrt.f32 -1)) (+.f32 -3/16 (/.f32 1/48 (sqrt.f32 -1)))) (.f32 u1 u1))))))
(exp.f32 (sqrt.f32 -1))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (exp.f32 (sqrt.f32 -1))) u1)) (exp.f32 (sqrt.f32 -1)))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (exp.f32 (sqrt.f32 -1)))) (exp.f32 (sqrt.f32 -1)))
(fma.f32 1/2 (*.f32 (/.f32 (sqrt.f32 -1) u1) (exp.f32 (sqrt.f32 -1))) (exp.f32 (sqrt.f32 -1)))
(*.f32 (+.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 1/2)) 1) (exp.f32 (sqrt.f32 -1)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (exp.f32 (sqrt.f32 -1))) u1)) (+.f32 (exp.f32 (sqrt.f32 -1)) (/.f32 (.f32 (exp.f32 (sqrt.f32 -1)) (+.f32 (.f32 1/8 (pow.f32 (sqrt.f32 -1) 2)) (*.f32 3/8 (sqrt.f32 -1)))) (pow.f32 u1 2))))
(+.f32 (fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (exp.f32 (sqrt.f32 -1)))) (exp.f32 (sqrt.f32 -1))) (/.f32 (fma.f32 1/8 (pow.f32 (sqrt.f32 -1) 2) (.f32 (sqrt.f32 -1) 3/8)) (/.f32 (.f32 u1 u1) (exp.f32 (sqrt.f32 -1)))))
(+.f32 (fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (exp.f32 (sqrt.f32 -1))) (exp.f32 (sqrt.f32 -1))) (.f32 (/.f32 (exp.f32 (sqrt.f32 -1)) u1) (/.f32 (fma.f32 (sqrt.f32 -1) 3/8 -1/8) u1)))
(fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (exp.f32 (sqrt.f32 -1))) (.f32 (+.f32 (/.f32 (fma.f32 (sqrt.f32 -1) 3/8 -1/8) (*.f32 u1 u1)) 1) (exp.f32 (sqrt.f32 -1))))
(.f32 (exp.f32 (sqrt.f32 -1)) (+.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 1/2)) (+.f32 (/.f32 (fma.f32 (sqrt.f32 -1) 3/8 -1/8) (.f32 u1 u1)) 1)))
(+.f32 (.f32 1/2 (/.f32 (.f32 (sqrt.f32 -1) (exp.f32 (sqrt.f32 -1))) u1)) (+.f32 (/.f32 (.f32 (+.f32 (.f32 1/8 (pow.f32 (sqrt.f32 -1) 2)) (.f32 3/8 (sqrt.f32 -1))) (exp.f32 (sqrt.f32 -1))) (pow.f32 u1 2)) (+.f32 (exp.f32 (sqrt.f32 -1)) (.f32 -1 (/.f32 (.f32 (exp.f32 (sqrt.f32 -1)) (+.f32 (.f32 -3/16 (pow.f32 (sqrt.f32 -1) 2)) (+.f32 (.f32 -5/16 (sqrt.f32 -1)) (.f32 -1/48 (pow.f32 (sqrt.f32 -1) 3))))) (pow.f32 u1 3))))))
(fma.f32 1/2 (/.f32 (sqrt.f32 -1) (/.f32 u1 (exp.f32 (sqrt.f32 -1)))) (+.f32 (+.f32 (exp.f32 (sqrt.f32 -1)) (/.f32 (fma.f32 1/8 (pow.f32 (sqrt.f32 -1) 2) (.f32 (sqrt.f32 -1) 3/8)) (/.f32 (.f32 u1 u1) (exp.f32 (sqrt.f32 -1))))) (neg.f32 (/.f32 (exp.f32 (sqrt.f32 -1)) (/.f32 (pow.f32 u1 3) (fma.f32 -3/16 (pow.f32 (sqrt.f32 -1) 2) (fma.f32 -5/16 (sqrt.f32 -1) (*.f32 (pow.f32 (sqrt.f32 -1) 3) -1/48))))))))
(+.f32 (-.f32 (exp.f32 (sqrt.f32 -1)) (.f32 (/.f32 (exp.f32 (sqrt.f32 -1)) (pow.f32 u1 3)) (+.f32 3/16 (fma.f32 (sqrt.f32 -1) -5/16 (.f32 (sqrt.f32 -1) 1/48))))) (fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (exp.f32 (sqrt.f32 -1))) (.f32 (/.f32 (exp.f32 (sqrt.f32 -1)) u1) (/.f32 (fma.f32 (sqrt.f32 -1) 3/8 -1/8) u1))))
(-.f32 (fma.f32 1/2 (.f32 (/.f32 (sqrt.f32 -1) u1) (exp.f32 (sqrt.f32 -1))) (.f32 (+.f32 (/.f32 (fma.f32 (sqrt.f32 -1) 3/8 -1/8) (.f32 u1 u1)) 1) (exp.f32 (sqrt.f32 -1)))) (.f32 (/.f32 (+.f32 3/16 (*.f32 (sqrt.f32 -1) -7/24)) (pow.f32 u1 3)) (exp.f32 (sqrt.f32 -1))))
(+.f32 (.f32 (+.f32 (/.f32 (sqrt.f32 -1) (/.f32 u1 1/2)) 1) (exp.f32 (sqrt.f32 -1))) (.f32 (/.f32 (exp.f32 (sqrt.f32 -1)) (.f32 u1 u1)) (-.f32 (fma.f32 (sqrt.f32 -1) 3/8 -1/8) (/.f32 (+.f32 3/16 (.f32 (sqrt.f32 -1) -7/24)) u1))))

localize112.0ms (1.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f32 u1 (-.f32 1 u1))
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	0.6b	(expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	0.7b	(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 63 to 48 computations (23.8% saved)

series117.0ms (1.1%)

Counts

2 → 24

Calls

6 calls:

Time	Variable		Point	Expression
63.0ms	u2	@	inf	(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
51.0ms	u2	@	-inf	(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
2.0ms	u2	@	0	(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
1.0ms	u2	@	0	(expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))
0.0ms	u2	@	inf	(expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))

rewrite175.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

738×	`pow1_binary32`
686×	`add-log-exp_binary32`
686×	`log1p-expm1-u_binary32`
686×	`expm1-log1p-u_binary32`
674×	`add-exp-log_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	14
1	180	14
2	1861	14

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

Inputs
(log.f32 (+.f32 1 (expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))))
(expm1.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)))

Outputs

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

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

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

659×	`fma-neg_binary32`
516×	`distribute-lft-out_binary32`
514×	`distribute-rgt-out_binary32`
504×	`associate-l_binary32`
472×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 5 (0.0ms)

Iter	Nodes	Cost
0	44	254
1	114	242
2	283	236
3	912	232
4	2738	229
5	6150	228

Stop Event

1×	node limit

Counts

69 → 62

Calls

Call 1

Inputs
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)))))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(-.f32 (E.f32) 1)
(-.f32 (+.f32 (E.f32) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (E.f32) (pow.f32 u2 2)))) 1)
(-.f32 (+.f32 (E.f32) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (E.f32) (pow.f32 u2 2))) (.f32 9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000 (.f32 (E.f32) (pow.f32 u2 4))))) 1)
(-.f32 (+.f32 (E.f32) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (E.f32) (pow.f32 u2 2))) (+.f32 (.f32 -29803065000846206344627496809915962362126433773096173591729366373987071/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (E.f32) (pow.f32 u2 6))) (.f32 9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000 (.f32 (E.f32) (pow.f32 u2 4)))))) 1)
(-.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(-.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(-.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(-.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(-.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(-.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(-.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(-.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)

Outputs
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)))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(cos.f32 (*.f32 314159265359/50000000000 u2))
(cos.f32 (*.f32 u2 314159265359/50000000000))
(-.f32 (E.f32) 1)
(+.f32 (E.f32) -1)
(expm1.f32 1)
(-.f32 (+.f32 (E.f32) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (E.f32) (pow.f32 u2 2)))) 1)
(+.f32 (E.f32) (-.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (*.f32 u2 u2) (E.f32))) 1))
(+.f32 (E.f32) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 (.f32 u2 (E.f32))) -1))
(fma.f32 (.f32 u2 u2) (.f32 -98696044010906577398881/5000000000000000000000 (E.f32)) (expm1.f32 1))
(fma.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2) 1) (E.f32) -1)
(-.f32 (+.f32 (E.f32) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (E.f32) (pow.f32 u2 2))) (.f32 9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000 (.f32 (E.f32) (pow.f32 u2 4))))) 1)
(+.f32 (+.f32 (E.f32) (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (E.f32)) (.f32 9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (E.f32))))) -1)
(+.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 (.f32 u2 (E.f32))) (.f32 9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (E.f32)))) (expm1.f32 1))
(+.f32 (expm1.f32 1) (.f32 (E.f32) (+.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000) (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)))))
(+.f32 (.f32 (E.f32) (+.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000))) -1)
(fma.f32 (E.f32) (+.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000)) -1)
(-.f32 (+.f32 (E.f32) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 (E.f32) (pow.f32 u2 2))) (+.f32 (.f32 -29803065000846206344627496809915962362126433773096173591729366373987071/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (E.f32) (pow.f32 u2 6))) (.f32 9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000 (.f32 (E.f32) (pow.f32 u2 4)))))) 1)
(+.f32 (E.f32) (-.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 (.f32 u2 u2) (E.f32)) (fma.f32 -29803065000846206344627496809915962362126433773096173591729366373987071/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (E.f32)) (.f32 9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 4) (E.f32))))) 1))
(+.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 (.f32 u2 (E.f32))) (fma.f32 9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (E.f32)) (.f32 -29803065000846206344627496809915962362126433773096173591729366373987071/11250000000000000000000000000000000000000000000000000000000000000000 (*.f32 (pow.f32 u2 6) (E.f32))))) (expm1.f32 1))
(+.f32 (expm1.f32 1) (fma.f32 (pow.f32 u2 6) (.f32 (E.f32) -29803065000846206344627496809915962362126433773096173591729366373987071/11250000000000000000000000000000000000000000000000000000000000000000) (.f32 (E.f32) (+.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000) (.f32 -98696044010906577398881/5000000000000000000000 (*.f32 u2 u2))))))
(+.f32 (expm1.f32 1) (.f32 (E.f32) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (+.f32 (.f32 (pow.f32 u2 6) -29803065000846206344627496809915962362126433773096173591729366373987071/11250000000000000000000000000000000000000000000000000000000000000000) (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000)))))
(+.f32 (.f32 (E.f32) (+.f32 (fma.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2) 1) (+.f32 (.f32 (pow.f32 u2 6) -29803065000846206344627496809915962362126433773096173591729366373987071/11250000000000000000000000000000000000000000000000000000000000000000) (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000)))) -1)
(fma.f32 (E.f32) (+.f32 (.f32 -98696044010906577398881/5000000000000000000000 (.f32 u2 u2)) (+.f32 (.f32 (pow.f32 u2 6) -29803065000846206344627496809915962362126433773096173591729366373987071/11250000000000000000000000000000000000000000000000000000000000000000) (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/37500000000000000000000000000000000000000000))) (expm1.f32 1))
(-.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(expm1.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(expm1.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(expm1.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(expm1.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(expm1.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(expm1.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(expm1.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))
(-.f32 (exp.f32 (cos.f32 (*.f32 314159265359/50000000000 u2))) 1)
(expm1.f32 (cos.f32 (*.f32 u2 314159265359/50000000000)))

eval539.0ms (5.2%)

Compiler: Compiled 11207 to 8899 computations (20.6% saved)

prune233.0ms (2.2%)

Pruning

45 alts after pruning (38 fresh and 7 done)

	Pruned	Kept	Total
New	651	13	664
Fresh	9	25	34
Picked	1	0	1
Done	1	7	8
Total	662	45	707

Error

0.0b

Counts

707 → 45

Alt Table

Click to see full alt table

Status	Error	Program
	0.5b	(expm1.f32 (log1p.f32 (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
	3.2b	(exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1/3))
▶	1.4b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -3/2) 2/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))))))
	0.4b	(.f32 (sqrt.f32 (.f32 1/3 (.f32 3 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	13.4b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 u1) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) -1/2)))
	6.9b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	9.0b	(.f32 (sqrt.f32 u1) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))
	0.6b	(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
	0.6b	(.f32 (sqrt.f32 u1) (/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))))
✓	7.1b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
	1.4b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
▶	7.1b	(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))
✓	0.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	12.7b	(pow.f32 (pow.f32 u1 1/4) 2)
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) 1))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	1.1b	(.f32 (sqrt.f32 (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 6) (pow.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) 6))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	6.9b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	12.6b	(sqrt.f32 u1)
	7.0b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	0.3b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	7.6b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 3))
▶	0.3b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
▶	29.9b	(log.f32 1)
	4.2b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
	1.4b	(.f32 (sqrt.f32 (exp.f32 (.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	7.0b	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	8.8b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.8b	(/.f32 (exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))))) (sqrt.f32 (-.f32 1 u1)))
	3.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000 1))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
▶	1.9b	(sqrt.f32 (/.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (-.f32 1 u1)))
	10.6b	(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
	9.4b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 u1 1/6) 6)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	10.0b	(sqrt.f32 (fma.f32 u1 u1 u1))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	14.8b	(.f32 (sqrt.f32 (+.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))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (.f32 u1 (+.f32 -1/2 (.f32 u1 (+.f32 -1/8 (*.f32 u1 -1/16)))))))
	8.8b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	7.0b	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))

Compiler

Compiled 1332 to 1086 computations (18.5% saved)

localize54.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 50 to 37 computations (26% saved)

series5.0ms (0%)

Counts

3 → 44

Calls

12 calls:

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

rewrite68.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

582×	`log-prod_binary32`
359×	`pow-prod-down_binary32`
305×	`pow2_binary32`
262×	`prod-diff_binary32`
215×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	31
1	250	31
2	3051	31

Stop Event

1×	node limit

Counts

3 → 92

Calls

Call 1

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

Outputs

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

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

754×	`associate-*r/_binary32`
523×	`associate-/l/_binary32`
376×	`fma-def_binary32`
293×	`associate-/r/_binary32`
291×	`distribute-rgt-out_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	106	979
1	306	912
2	960	844
3	3466	743
4	7763	743

Stop Event

1×	node limit

Counts

136 → 141

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)))))
1
(+.f32 1 u1)
(+.f32 (pow.f32 u1 2) (+.f32 1 u1))
(+.f32 (pow.f32 u1 2) (+.f32 1 (+.f32 u1 (pow.f32 u1 3))))
(/.f32 -1 u1)
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1)))))
(/.f32 -1 u1)
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (/.f32 1 u1)))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.f32 1 u1))))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 4)) (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (/.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 (+.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
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 (*.f32 u1 u1) (pow.f32 u1 3)) u1)
(+.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1)))
(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 (*.f32 u1 (fma.f32 u1 u1 u1))) (pow.f32 u1 4))
(*.f32 (fma.f32 u1 u1 1) (fma.f32 u1 u1 u1))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
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(+.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))))

localize6.0ms (0.1%)

Compiler: Compiled 6 to 6 computations (0% saved)

localize37.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

Compiler

Compiled 29 to 21 computations (27.6% saved)

series6.0ms (0.1%)

Counts

2 → 12

Calls

6 calls:

Time	Variable		Point	Expression
3.0ms	u1	@	inf	(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))
1.0ms	u1	@	inf	(/.f32 1 (sqrt.f32 (-.f32 1 u1)))
1.0ms	u1	@	-inf	(/.f32 1 (sqrt.f32 (-.f32 1 u1)))
1.0ms	u1	@	0	(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))
0.0ms	u1	@	-inf	(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))

rewrite59.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

803×	`pow1_binary32`
747×	`add-log-exp_binary32`
747×	`log1p-expm1-u_binary32`
747×	`expm1-log1p-u_binary32`
729×	`add-exp-log_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	20
1	171	16
2	2130	16

Stop Event

1×	node limit

Counts

2 → 45

Calls

Call 1

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

simplify58.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

710×	`fma-def_binary32`
652×	`fma-neg_binary32`
579×	`times-frac_binary32`
578×	`associate-/r*_binary32`
543×	`unswap-sqr_binary32`

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	54	259
1	152	248
2	421	228
3	1396	170
4	6628	168

Stop Event

1×	node limit

Counts

57 → 65

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 (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)))))
1
(+.f32 1 (*.f32 1/2 u1))
(+.f32 1 (+.f32 (.f32 3/8 (pow.f32 u1 2)) (.f32 1/2 u1)))
(+.f32 1 (+.f32 (.f32 3/8 (pow.f32 u1 2)) (+.f32 (.f32 1/2 u1) (*.f32 5/16 (pow.f32 u1 3)))))

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

localize66.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

Compiler

Compiled 57 to 43 computations (24.6% saved)

series6.0ms (0.1%)

Counts

2 → 28

Calls

9 calls:

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

rewrite80.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

585×	`log-prod_binary32`
339×	`pow-prod-down_binary32`
309×	`pow2_binary32`
286×	`prod-diff_binary32`
216×	`pow1/3_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	27
1	254	27
2	3161	27

Stop Event

1×	node limit

Counts

2 → 73

Calls

Call 1

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

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

simplify66.0ms (0.6%)

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

101 → 105

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

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

localize78.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 (-.f32 1 u1) u1)
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	0.4b	(pow.f32 (/.f32 (-.f32 1 u1) u1) -3/2)
✓	2.1b	(pow.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -3/2) 2/3)

Compiler

Compiled 65 to 49 computations (24.6% saved)

series8.0ms (0.1%)

Counts

3 → 36

Calls

9 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	inf	(pow.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -3/2) 2/3)
2.0ms	u1	@	-inf	(pow.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -3/2) 2/3)
2.0ms	u1	@	0	(pow.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -3/2) 2/3)
0.0ms	u1	@	-inf	(/.f32 (-.f32 1 u1) u1)
0.0ms	u1	@	inf	(/.f32 (-.f32 1 u1) u1)

rewrite95.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

972×	`pow1_binary32`
924×	`add-log-exp_binary32`
923×	`log1p-expm1-u_binary32`
923×	`expm1-log1p-u_binary32`
100×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	9	27
1	206	24
2	2595	24

Stop Event

1×	node limit

Counts

3 → 90

Calls

Call 1

Inputs
(pow.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -3/2) 2/3)
(pow.f32 (/.f32 (-.f32 1 u1) u1) -3/2)
(/.f32 (-.f32 1 u1) u1)

Outputs

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

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

simplify70.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

458×	`associate-/l*_binary32`
407×	`associate-l_binary32`
395×	`fma-def_binary32`
388×	`fma-neg_binary32`
370×	`associate-/r*_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	117	797
1	334	465
2	1272	393
3	3079	382
4	7695	382

Stop Event

1×	node limit

Counts

126 → 124

Calls

Call 1

Inputs
(*.f32 (pow.f32 1 1/3) u1)
(+.f32 (.f32 (pow.f32 1 1/3) u1) (.f32 (pow.f32 1 1/3) (pow.f32 u1 2)))
(+.f32 (.f32 (pow.f32 1 1/3) (pow.f32 u1 3)) (+.f32 (.f32 (pow.f32 1 1/3) u1) (*.f32 (pow.f32 1 1/3) (pow.f32 u1 2))))
(+.f32 (.f32 (pow.f32 1 1/3) (pow.f32 u1 3)) (+.f32 (.f32 (pow.f32 1 1/3) u1) (+.f32 (.f32 (pow.f32 1 1/3) (pow.f32 u1 2)) (.f32 (pow.f32 1 1/3) (pow.f32 u1 4)))))
(*.f32 -1 (pow.f32 1 1/3))
(+.f32 (.f32 -1 (.f32 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1) (pow.f32 1 1/3))) (*.f32 -1 (pow.f32 1 1/3)))
(+.f32 (.f32 -1 (.f32 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1) (pow.f32 1 1/3))) (+.f32 (.f32 -1 (pow.f32 1 1/3)) (.f32 -1 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 (.f32 1/2 (pow.f32 (sqrt.f32 -1) 4)) (.f32 1/3 (+.f32 (.f32 9/4 (pow.f32 (sqrt.f32 -1) 2)) (*.f32 15/4 (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 u1 2))))))
(+.f32 (.f32 -1 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 (.f32 1/3 (.f32 (+.f32 (.f32 9/4 (pow.f32 (sqrt.f32 -1) 2)) (.f32 15/4 (pow.f32 (sqrt.f32 -1) 2))) (pow.f32 (sqrt.f32 -1) 2))) (+.f32 (.f32 1/6 (pow.f32 (sqrt.f32 -1) 6)) (.f32 1/9 (+.f32 (.f32 27/4 (pow.f32 (sqrt.f32 -1) 4)) (+.f32 (.f32 105/8 (pow.f32 (sqrt.f32 -1) 2)) (.f32 135/8 (pow.f32 (sqrt.f32 -1) 2))))))) (pow.f32 u1 3)))) (+.f32 (.f32 -1 (.f32 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1) (pow.f32 1 1/3))) (+.f32 (.f32 -1 (pow.f32 1 1/3)) (.f32 -1 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 (.f32 1/2 (pow.f32 (sqrt.f32 -1) 4)) (.f32 1/3 (+.f32 (.f32 9/4 (pow.f32 (sqrt.f32 -1) 2)) (.f32 15/4 (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 u1 2)))))))
(*.f32 -1 (pow.f32 1 1/3))
(+.f32 (.f32 -1 (.f32 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1) (pow.f32 1 1/3))) (*.f32 -1 (pow.f32 1 1/3)))
(+.f32 (.f32 -1 (.f32 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1) (pow.f32 1 1/3))) (+.f32 (.f32 -1 (pow.f32 1 1/3)) (.f32 -1 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 (.f32 1/2 (pow.f32 (sqrt.f32 -1) 4)) (.f32 1/3 (+.f32 (.f32 9/4 (pow.f32 (sqrt.f32 -1) 2)) (*.f32 15/4 (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 u1 2))))))
(+.f32 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 (.f32 1/9 (+.f32 (.f32 -135/8 (pow.f32 (sqrt.f32 -1) 2)) (+.f32 (.f32 -105/8 (pow.f32 (sqrt.f32 -1) 2)) (.f32 -27/4 (pow.f32 (sqrt.f32 -1) 4))))) (+.f32 (.f32 -1/6 (pow.f32 (sqrt.f32 -1) 6)) (.f32 -1/3 (.f32 (+.f32 (.f32 9/4 (pow.f32 (sqrt.f32 -1) 2)) (.f32 15/4 (pow.f32 (sqrt.f32 -1) 2))) (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 u1 3))) (+.f32 (.f32 -1 (.f32 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1) (pow.f32 1 1/3))) (+.f32 (.f32 -1 (pow.f32 1 1/3)) (.f32 -1 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 (.f32 1/2 (pow.f32 (sqrt.f32 -1) 4)) (.f32 1/3 (+.f32 (.f32 9/4 (pow.f32 (sqrt.f32 -1) 2)) (*.f32 15/4 (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 u1 2)))))))
(sqrt.f32 (pow.f32 u1 3))
(+.f32 (*.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (sqrt.f32 (pow.f32 u1 3)))
(+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (.f32 15/8 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 35/16 (sqrt.f32 (pow.f32 u1 9))) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))
(+.f32 (.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))
(+.f32 (.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(/.f32 1 u1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
-1
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
-1
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)
(-.f32 (/.f32 1 u1) 1)

Outputs
(*.f32 (pow.f32 1 1/3) u1)
(*.f32 1 u1)
u1
(+.f32 (.f32 (pow.f32 1 1/3) u1) (.f32 (pow.f32 1 1/3) (pow.f32 u1 2)))
(.f32 1 (+.f32 u1 (.f32 u1 u1)))
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (.f32 (pow.f32 1 1/3) (pow.f32 u1 3)) (+.f32 (.f32 (pow.f32 1 1/3) u1) (*.f32 (pow.f32 1 1/3) (pow.f32 u1 2))))
(fma.f32 1 (pow.f32 u1 3) (.f32 1 (+.f32 u1 (.f32 u1 u1))))
(+.f32 u1 (+.f32 (*.f32 u1 u1) (pow.f32 u1 3)))
(+.f32 u1 (*.f32 u1 (fma.f32 u1 u1 u1)))
(+.f32 u1 (fma.f32 u1 u1 (pow.f32 u1 3)))
(+.f32 (.f32 (pow.f32 1 1/3) (pow.f32 u1 3)) (+.f32 (.f32 (pow.f32 1 1/3) u1) (+.f32 (.f32 (pow.f32 1 1/3) (pow.f32 u1 2)) (.f32 (pow.f32 1 1/3) (pow.f32 u1 4)))))
(fma.f32 1 (pow.f32 u1 3) (fma.f32 1 u1 (.f32 1 (+.f32 (.f32 u1 u1) (pow.f32 u1 4)))))
(+.f32 u1 (+.f32 (fma.f32 u1 u1 (pow.f32 u1 4)) (pow.f32 u1 3)))
(+.f32 u1 (+.f32 (pow.f32 u1 3) (fma.f32 u1 u1 (pow.f32 u1 4))))
(*.f32 (fma.f32 u1 u1 u1) (fma.f32 u1 u1 1))
(*.f32 -1 (pow.f32 1 1/3))
-1
(+.f32 (.f32 -1 (.f32 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1) (pow.f32 1 1/3))) (*.f32 -1 (pow.f32 1 1/3)))
(fma.f32 -1 (*.f32 1 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1)) -1)
(+.f32 -1 (/.f32 1 u1))
(+.f32 (.f32 -1 (.f32 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1) (pow.f32 1 1/3))) (+.f32 (.f32 -1 (pow.f32 1 1/3)) (.f32 -1 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 (.f32 1/2 (pow.f32 (sqrt.f32 -1) 4)) (.f32 1/3 (+.f32 (.f32 9/4 (pow.f32 (sqrt.f32 -1) 2)) (*.f32 15/4 (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 u1 2))))))
(+.f32 (fma.f32 -1 (.f32 1 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1)) -1) (.f32 -1 (/.f32 (fma.f32 1/2 (pow.f32 (sqrt.f32 -1) 4) (.f32 1/3 (.f32 (pow.f32 (sqrt.f32 -1) 2) 6))) (*.f32 u1 u1))))
(+.f32 -1 (+.f32 (/.f32 3/2 (*.f32 u1 u1)) (/.f32 1 u1)))
(+.f32 (/.f32 3/2 (*.f32 u1 u1)) (+.f32 -1 (/.f32 1 u1)))
(+.f32 -1 (*.f32 (/.f32 -1 u1) (-.f32 -1 (/.f32 3/2 u1))))
(+.f32 (.f32 -1 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 (.f32 1/3 (.f32 (+.f32 (.f32 9/4 (pow.f32 (sqrt.f32 -1) 2)) (.f32 15/4 (pow.f32 (sqrt.f32 -1) 2))) (pow.f32 (sqrt.f32 -1) 2))) (+.f32 (.f32 1/6 (pow.f32 (sqrt.f32 -1) 6)) (.f32 1/9 (+.f32 (.f32 27/4 (pow.f32 (sqrt.f32 -1) 4)) (+.f32 (.f32 105/8 (pow.f32 (sqrt.f32 -1) 2)) (.f32 135/8 (pow.f32 (sqrt.f32 -1) 2))))))) (pow.f32 u1 3)))) (+.f32 (.f32 -1 (.f32 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1) (pow.f32 1 1/3))) (+.f32 (.f32 -1 (pow.f32 1 1/3)) (.f32 -1 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 (.f32 1/2 (pow.f32 (sqrt.f32 -1) 4)) (.f32 1/3 (+.f32 (.f32 9/4 (pow.f32 (sqrt.f32 -1) 2)) (.f32 15/4 (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 u1 2)))))))
(+.f32 (+.f32 (fma.f32 -1 (.f32 1 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1)) -1) (.f32 -1 (/.f32 (fma.f32 1/2 (pow.f32 (sqrt.f32 -1) 4) (.f32 1/3 (.f32 (pow.f32 (sqrt.f32 -1) 2) 6))) (.f32 u1 u1)))) (.f32 -1 (/.f32 (fma.f32 1/3 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (pow.f32 (sqrt.f32 -1) 2) 6)) (fma.f32 1/6 (pow.f32 (sqrt.f32 -1) 6) (.f32 1/9 (fma.f32 27/4 (pow.f32 (sqrt.f32 -1) 4) (.f32 (pow.f32 (sqrt.f32 -1) 2) 30))))) (pow.f32 u1 3))))
(-.f32 (+.f32 -1 (+.f32 (/.f32 3/2 (.f32 u1 u1)) (/.f32 1 u1))) (/.f32 (+.f32 (.f32 1/6 (pow.f32 (sqrt.f32 -1) 6)) -7/12) (pow.f32 u1 3)))
(+.f32 (/.f32 1 u1) (+.f32 -1 (+.f32 (/.f32 3/2 (*.f32 u1 u1)) (/.f32 3/4 (pow.f32 u1 3)))))
(+.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 3/2 (*.f32 u1 u1)) (/.f32 3/4 (pow.f32 u1 3)))))
(*.f32 -1 (pow.f32 1 1/3))
-1
(+.f32 (.f32 -1 (.f32 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1) (pow.f32 1 1/3))) (*.f32 -1 (pow.f32 1 1/3)))
(fma.f32 -1 (*.f32 1 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1)) -1)
(+.f32 -1 (/.f32 1 u1))
(+.f32 (.f32 -1 (.f32 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1) (pow.f32 1 1/3))) (+.f32 (.f32 -1 (pow.f32 1 1/3)) (.f32 -1 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 (.f32 1/2 (pow.f32 (sqrt.f32 -1) 4)) (.f32 1/3 (+.f32 (.f32 9/4 (pow.f32 (sqrt.f32 -1) 2)) (*.f32 15/4 (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 u1 2))))))
(+.f32 (fma.f32 -1 (.f32 1 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1)) -1) (.f32 -1 (/.f32 (fma.f32 1/2 (pow.f32 (sqrt.f32 -1) 4) (.f32 1/3 (.f32 (pow.f32 (sqrt.f32 -1) 2) 6))) (*.f32 u1 u1))))
(+.f32 -1 (+.f32 (/.f32 3/2 (*.f32 u1 u1)) (/.f32 1 u1)))
(+.f32 (/.f32 3/2 (*.f32 u1 u1)) (+.f32 -1 (/.f32 1 u1)))
(+.f32 -1 (*.f32 (/.f32 -1 u1) (-.f32 -1 (/.f32 3/2 u1))))
(+.f32 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 (.f32 1/9 (+.f32 (.f32 -135/8 (pow.f32 (sqrt.f32 -1) 2)) (+.f32 (.f32 -105/8 (pow.f32 (sqrt.f32 -1) 2)) (.f32 -27/4 (pow.f32 (sqrt.f32 -1) 4))))) (+.f32 (.f32 -1/6 (pow.f32 (sqrt.f32 -1) 6)) (.f32 -1/3 (.f32 (+.f32 (.f32 9/4 (pow.f32 (sqrt.f32 -1) 2)) (.f32 15/4 (pow.f32 (sqrt.f32 -1) 2))) (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 u1 3))) (+.f32 (.f32 -1 (.f32 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1) (pow.f32 1 1/3))) (+.f32 (.f32 -1 (pow.f32 1 1/3)) (.f32 -1 (.f32 (pow.f32 1 1/3) (/.f32 (+.f32 (.f32 1/2 (pow.f32 (sqrt.f32 -1) 4)) (.f32 1/3 (+.f32 (.f32 9/4 (pow.f32 (sqrt.f32 -1) 2)) (*.f32 15/4 (pow.f32 (sqrt.f32 -1) 2))))) (pow.f32 u1 2)))))))
(+.f32 (+.f32 (fma.f32 -1 (.f32 1 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1)) -1) (.f32 -1 (/.f32 (fma.f32 1/2 (pow.f32 (sqrt.f32 -1) 4) (.f32 1/3 (.f32 (pow.f32 (sqrt.f32 -1) 2) 6))) (.f32 u1 u1)))) (.f32 -1 (/.f32 (fma.f32 1/3 (.f32 (pow.f32 (sqrt.f32 -1) 2) (.f32 (pow.f32 (sqrt.f32 -1) 2) 6)) (fma.f32 1/6 (pow.f32 (sqrt.f32 -1) 6) (.f32 1/9 (fma.f32 27/4 (pow.f32 (sqrt.f32 -1) 4) (.f32 (pow.f32 (sqrt.f32 -1) 2) 30))))) (pow.f32 u1 3))))
(-.f32 (+.f32 -1 (+.f32 (/.f32 3/2 (.f32 u1 u1)) (/.f32 1 u1))) (/.f32 (+.f32 (.f32 1/6 (pow.f32 (sqrt.f32 -1) 6)) -7/12) (pow.f32 u1 3)))
(+.f32 (/.f32 1 u1) (+.f32 -1 (+.f32 (/.f32 3/2 (*.f32 u1 u1)) (/.f32 3/4 (pow.f32 u1 3)))))
(+.f32 -1 (+.f32 (/.f32 1 u1) (+.f32 (/.f32 3/2 (*.f32 u1 u1)) (/.f32 3/4 (pow.f32 u1 3)))))
(sqrt.f32 (pow.f32 u1 3))
(fabs.f32 (pow.f32 u1 3/2))
(pow.f32 u1 3/2)
(+.f32 (*.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (sqrt.f32 (pow.f32 u1 3)))
(fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 (pow.f32 u1 3)))
(fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (fabs.f32 (pow.f32 u1 3/2)))
(fma.f32 3/2 (pow.f32 u1 5/2) (pow.f32 u1 3/2))
(+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (.f32 15/8 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 (pow.f32 u1 3))) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7))))
(fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (fma.f32 15/8 (sqrt.f32 (pow.f32 u1 7)) (fabs.f32 (pow.f32 u1 3/2))))
(fma.f32 15/8 (pow.f32 u1 7/2) (fma.f32 3/2 (pow.f32 u1 5/2) (pow.f32 u1 3/2)))
(+.f32 (.f32 3/2 (sqrt.f32 (pow.f32 u1 5))) (+.f32 (sqrt.f32 (pow.f32 u1 3)) (+.f32 (.f32 35/16 (sqrt.f32 (pow.f32 u1 9))) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7))))))
(+.f32 (fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (sqrt.f32 (pow.f32 u1 3))) (fma.f32 35/16 (sqrt.f32 (pow.f32 u1 9)) (*.f32 15/8 (sqrt.f32 (pow.f32 u1 7)))))
(+.f32 (fma.f32 3/2 (sqrt.f32 (pow.f32 u1 5)) (fabs.f32 (pow.f32 u1 3/2))) (fma.f32 15/8 (sqrt.f32 (pow.f32 u1 7)) (*.f32 35/16 (sqrt.f32 (pow.f32 u1 9)))))
(fma.f32 3/2 (pow.f32 u1 5/2) (fma.f32 15/8 (pow.f32 u1 7/2) (fma.f32 35/16 (pow.f32 u1 9/2) (pow.f32 u1 3/2))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)))
(fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(*.f32 (sqrt.f32 -1) (+.f32 (/.f32 3/2 u1) 1))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))
(+.f32 (sqrt.f32 -1) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)))))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 3/2 (/.f32 15/8 u1))))
(+.f32 (.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (+.f32 (sqrt.f32 -1) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1))))))
(+.f32 (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 3/2 (/.f32 15/8 u1)))))
(+.f32 (sqrt.f32 -1) (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 3/2 (+.f32 (/.f32 35/16 (.f32 u1 u1)) (/.f32 15/8 u1)))))
(sqrt.f32 -1)
(+.f32 (sqrt.f32 -1) (*.f32 3/2 (/.f32 (sqrt.f32 -1) u1)))
(fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (sqrt.f32 -1))
(*.f32 (sqrt.f32 -1) (+.f32 (/.f32 3/2 u1) 1))
(+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))
(+.f32 (sqrt.f32 -1) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)))))
(+.f32 (sqrt.f32 -1) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 3/2 (/.f32 15/8 u1))))
(+.f32 (.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (+.f32 (sqrt.f32 -1) (+.f32 (.f32 3/2 (/.f32 (sqrt.f32 -1) u1)) (*.f32 15/8 (/.f32 (sqrt.f32 -1) (pow.f32 u1 2))))))
(fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (+.f32 (sqrt.f32 -1) (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1))))))
(+.f32 (fma.f32 3/2 (/.f32 (sqrt.f32 -1) u1) (.f32 15/8 (/.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (sqrt.f32 -1)))
(+.f32 (sqrt.f32 -1) (fma.f32 35/16 (/.f32 (sqrt.f32 -1) (pow.f32 u1 3)) (*.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 3/2 (/.f32 15/8 u1)))))
(+.f32 (sqrt.f32 -1) (.f32 (/.f32 (sqrt.f32 -1) u1) (+.f32 3/2 (+.f32 (/.f32 35/16 (.f32 u1 u1)) (/.f32 15/8 u1)))))
(/.f32 1 u1)
(-.f32 (/.f32 1 u1) 1)
(fma.f32 -1 (*.f32 1 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1)) -1)
(+.f32 -1 (/.f32 1 u1))
(-.f32 (/.f32 1 u1) 1)
(fma.f32 -1 (*.f32 1 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1)) -1)
(+.f32 -1 (/.f32 1 u1))
(-.f32 (/.f32 1 u1) 1)
(fma.f32 -1 (*.f32 1 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1)) -1)
(+.f32 -1 (/.f32 1 u1))
-1
(-.f32 (/.f32 1 u1) 1)
(fma.f32 -1 (*.f32 1 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1)) -1)
(+.f32 -1 (/.f32 1 u1))
(-.f32 (/.f32 1 u1) 1)
(fma.f32 -1 (*.f32 1 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1)) -1)
(+.f32 -1 (/.f32 1 u1))
(-.f32 (/.f32 1 u1) 1)
(fma.f32 -1 (*.f32 1 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1)) -1)
(+.f32 -1 (/.f32 1 u1))
-1
(-.f32 (/.f32 1 u1) 1)
(fma.f32 -1 (*.f32 1 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1)) -1)
(+.f32 -1 (/.f32 1 u1))
(-.f32 (/.f32 1 u1) 1)
(fma.f32 -1 (*.f32 1 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1)) -1)
(+.f32 -1 (/.f32 1 u1))
(-.f32 (/.f32 1 u1) 1)
(fma.f32 -1 (*.f32 1 (/.f32 (pow.f32 (sqrt.f32 -1) 2) u1)) -1)
(+.f32 -1 (/.f32 1 u1))

eval263.0ms (2.5%)

Compiler: Compiled 10327 to 8224 computations (20.4% saved)

prune215.0ms (2.1%)

Pruning

51 alts after pruning (40 fresh and 11 done)

	Pruned	Kept	Total
New	568	13	581
Fresh	6	27	33
Picked	0	1	1
Done	1	10	11
Total	575	51	626

Error

0.0b

Counts

626 → 51

Alt Table

Click to see full alt table

Status	Error	Program
	1.9b	(sqrt.f32 (/.f32 (.f32 u1 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 314159265359/50000000000 u2)))))) (-.f32 1 u1)))
	2.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (.f32 u1 (+.f32 -1/2 (.f32 u1 (+.f32 -1/8 (*.f32 u1 -1/16)))))))
	0.5b	(expm1.f32 (log1p.f32 (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	9.6b	(.f32 (sqrt.f32 u1) (/.f32 1 (+.f32 1 (.f32 -1/2 u1))))
	3.2b	(exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1/3))
✓	1.4b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -3/2) 2/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))))))
	0.4b	(.f32 (sqrt.f32 (.f32 1/3 (.f32 3 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
✓	13.4b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	9.9b	(.f32 (sqrt.f32 u1) (+.f32 1 (.f32 1/2 u1)))
	6.9b	(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
	9.0b	(.f32 (sqrt.f32 u1) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))
	0.6b	(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.3b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
	0.6b	(.f32 (sqrt.f32 u1) (/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (cos.f32 (.f32 314159265359/50000000000 u2)))))
✓	7.1b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
	1.4b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
✓	7.1b	(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))
✓	0.4b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	12.7b	(pow.f32 (pow.f32 u1 1/4) 2)
	8.8b	(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	8.4b	(.f32 (sqrt.f32 u1) (/.f32 1 (+.f32 1 (.f32 u1 (+.f32 -1/2 (.f32 u1 (+.f32 -1/8 (.f32 u1 -1/16))))))))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) 1))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 3))
	10.1b	(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
✓	12.6b	(sqrt.f32 u1)
✓	6.9b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
	7.0b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
	7.6b	(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
✓	0.3b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	29.9b	(log.f32 1)
	4.2b	(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
	1.4b	(.f32 (sqrt.f32 (exp.f32 (.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	7.0b	(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	8.8b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.8b	(/.f32 (exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))))) (sqrt.f32 (-.f32 1 u1)))
	3.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000 1))
	4.8b	(.f32 (sqrt.f32 (.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	9.4b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 u1 3/2) 2/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	10.0b	(sqrt.f32 (fma.f32 u1 u1 u1))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	2.1b	(sqrt.f32 (/.f32 (.f32 u1 (+.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)))))) (-.f32 1 u1)))
	14.8b	(.f32 (sqrt.f32 (+.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))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	10.6b	(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
	7.0b	(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
	4.8b	(sqrt.f32 (/.f32 (.f32 u1 (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1)) (-.f32 1 u1)))
	2.0b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (pow.f32 (pow.f32 (+.f32 (pow.f32 u1 -1) -1) 3) 1/3) -3/2) 2/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.9b	(sqrt.f32 (.f32 u1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1))))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 807 to 660 computations (18.2% saved)

regimes464.0ms (4.5%)

Counts

84 → 1

Calls

Call 1

Inputs
(log.f32 1)
(sqrt.f32 u1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(.f32 (sqrt.f32 u1) (+.f32 1 (.f32 1/2 u1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(.f32 (sqrt.f32 u1) (/.f32 1 (+.f32 1 (.f32 -1/2 u1))))
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(.f32 (sqrt.f32 u1) (/.f32 1 (+.f32 1 (.f32 u1 (+.f32 -1/2 (.f32 u1 (+.f32 -1/8 (.f32 u1 -1/16))))))))
(pow.f32 (pow.f32 u1 1/4) 2)
(sqrt.f32 (fma.f32 u1 u1 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(.f32 (sqrt.f32 (.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 (/.f32 (.f32 u1 (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1)) (-.f32 1 u1)))
(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000 1))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) 1))
(.f32 (sqrt.f32 (.f32 1/3 (.f32 3 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 (/.f32 (.f32 u1 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 314159265359/50000000000 u2)))))) (-.f32 1 u1)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (.f32 u1 (+.f32 -1/2 (.f32 u1 (+.f32 -1/8 (*.f32 u1 -1/16)))))))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.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)))
(sqrt.f32 (.f32 u1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1))))
(.f32 (sqrt.f32 u1) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) -1/2)))
(sqrt.f32 (/.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (-.f32 1 u1)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(.f32 (sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (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 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 u1 3/2) 2/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 u1 1/6) 6)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 3))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 3))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (pow.f32 (-.f32 1 u1) 1/4) 2))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -3/2) 2/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(exp.f32 (.f32 (.f32 3 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) 1/3))
(.f32 (sqrt.f32 (exp.f32 (.f32 (.f32 3 (log.f32 (/.f32 u1 (-.f32 1 u1)))) 1/3))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(expm1.f32 (log1p.f32 (.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(/.f32 (exp.f32 (log.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))))) (sqrt.f32 (-.f32 1 u1)))
(.f32 (sqrt.f32 (exp.f32 (.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (exp.f32 (.f32 (log.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(exp.f32 (.f32 (log.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))) 3)) 1/3))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6) 6)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 (pow.f32 (pow.f32 (+.f32 (pow.f32 u1 -1) -1) 3) 1/3) -3/2) 2/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (.f32 (pow.f32 (cbrt.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1)))) 6) (pow.f32 (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/6)) 6))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (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)))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (+.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))))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 (/.f32 (.f32 u1 (+.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)))))) (-.f32 1 u1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (+.f32 (log.f32 (pow.f32 (cbrt.f32 (exp.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3))) 2)) (log.f32 (cbrt.f32 (exp.f32 (pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)))))))

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))

Calls

9 calls:

56.0ms	u1
52.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
50.0ms	cosTheta_i
47.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
46.0ms	(*.f32 314159265359/50000000000 u2)

Results

Error	Segments	Branch
0.3b	1	`cosTheta_i`
0.3b	1	`u1`
0.3b	1	`u2`
0.3b	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))`
0.3b	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))`
0.3b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.3b	1	`(/.f32 u1 (-.f32 1 u1))`
0.3b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
0.3b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 1207 to 908 computations (24.8% saved)

regimes270.0ms (2.6%)

Counts

60 → 1

Calls

Call 1

Inputs
(log.f32 1)
(sqrt.f32 u1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(.f32 (sqrt.f32 u1) (+.f32 1 (.f32 1/2 u1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(.f32 (sqrt.f32 u1) (/.f32 1 (+.f32 1 (.f32 -1/2 u1))))
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(.f32 (sqrt.f32 u1) (/.f32 1 (+.f32 1 (.f32 u1 (+.f32 -1/2 (.f32 u1 (+.f32 -1/8 (.f32 u1 -1/16))))))))
(pow.f32 (pow.f32 u1 1/4) 2)
(sqrt.f32 (fma.f32 u1 u1 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))
(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))
(*.f32 (sqrt.f32 u1) (/.f32 1 (sqrt.f32 (-.f32 1 u1))))
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) 2)
(pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) 1/3)
(.f32 (sqrt.f32 (.f32 (+.f32 u1 1) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 (/.f32 (.f32 u1 (fma.f32 -98696044010906577398881/2500000000000000000000 (.f32 u2 u2) 1)) (-.f32 1 u1)))
(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (*.f32 -1/2 u1)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (.f32 u2 u2) -98696044010906577398881/5000000000000000000000 1))
(.f32 (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 u2 (.f32 u2 -98696044010906577398881/5000000000000000000000) 1))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 1 (cos.f32 (.f32 314159265359/50000000000 u2))) 1))
(.f32 (sqrt.f32 (.f32 1/3 (.f32 3 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(sqrt.f32 (/.f32 (.f32 u1 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 2 (.f32 314159265359/50000000000 u2)))))) (-.f32 1 u1)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(/.f32 (.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2))) (+.f32 1 (.f32 u1 (+.f32 -1/2 (.f32 u1 (+.f32 -1/8 (*.f32 u1 -1/16)))))))
(log.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(sqrt.f32 (.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) u1))
(.f32 (sqrt.f32 u1) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.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)))
(sqrt.f32 (.f32 u1 (/.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2) (-.f32 1 u1))))
(.f32 (sqrt.f32 u1) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 (-.f32 1 u1) -1/2)))
(sqrt.f32 (/.f32 (.f32 u1 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)) (-.f32 1 u1)))
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 2)))
(.f32 (sqrt.f32 (pow.f32 (-.f32 (/.f32 1 u1) 1) -1)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (/.f32 1 (/.f32 (sqrt.f32 (-.f32 1 u1)) (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 -98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 u1 3/2) 2/3)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 u1) (log.f32 (+.f32 1 (expm1.f32 (cos.f32 (.f32 314159265359/50000000000 u2))))))
(.f32 (sqrt.f32 (pow.f32 (pow.f32 u1 1/6) 6)) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000))) 3))

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

Calls

8 calls:

34.0ms	cosTheta_i
33.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
32.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
31.0ms	(*.f32 314159265359/50000000000 u2)
31.0ms	u1

Results

Error	Segments	Branch
0.3b	1	`cosTheta_i`
0.3b	1	`u1`
0.3b	1	`u2`
0.3b	1	`(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))`
0.3b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
0.3b	1	`(/.f32 u1 (-.f32 1 u1))`
0.3b	1	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
0.3b	1	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 755 to 549 computations (27.3% saved)

regimes281.0ms (2.7%)

Counts

21 → 2

Calls

Call 1

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

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

Calls

9 calls:

64.0ms	u2
42.0ms	u1
35.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
27.0ms	(/.f32 u1 (-.f32 1 u1))
25.0ms	(/.f32 u1 (-.f32 1 u1))

Results

Error	Segments	Branch
4.8b	1	`cosTheta_i`
2.2b	2	`u1`
2.2b	2	`u2`
2.2b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
2.2b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
2.2b	2	`(/.f32 u1 (-.f32 1 u1))`
2.2b	2	`(/.f32 u1 (-.f32 1 u1))`
2.2b	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
2.2b	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 235 to 171 computations (27.2% saved)

bsearch3.0ms (0%)

Algorithm

1×	left-value

Steps

Time	Left	Right
0.0ms	0.0018976695137098432	0.0019906482193619013

Compiler

Compiled 20 to 16 computations (20% saved)

regimes252.0ms (2.4%)

Counts

20 → 2

Calls

Call 1

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

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

Calls

9 calls:

40.0ms	u2
40.0ms	(/.f32 u1 (-.f32 1 u1))
38.0ms	(*.f32 314159265359/50000000000 u2)
29.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
22.0ms	(/.f32 u1 (-.f32 1 u1))

Results

Error	Segments	Branch
6.9b	1	`cosTheta_i`
4.3b	2	`u1`
3.4b	2	`u2`
4.3b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
4.3b	2	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
4.3b	2	`(/.f32 u1 (-.f32 1 u1))`
4.3b	2	`(/.f32 u1 (-.f32 1 u1))`
3.4b	2	`(cos.f32 (*.f32 314159265359/50000000000 u2))`
3.4b	2	`(*.f32 314159265359/50000000000 u2)`

Compiler

Compiled 224 to 163 computations (27.2% saved)

bsearch0.0ms (0%)

Algorithm

1×	binary-search

Steps

Time	Left	Right
0.0ms	0.9999157190322876	0.9999260306358337

Compiler

Compiled 20 to 16 computations (20% saved)

regimes84.0ms (0.8%)

Counts

15 → 1

Calls

Call 1

Inputs
(log.f32 1)
(sqrt.f32 u1)
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(.f32 (sqrt.f32 u1) (+.f32 1 (.f32 1/2 u1)))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(sqrt.f32 (*.f32 (/.f32 1 (-.f32 1 u1)) u1))
(/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
(.f32 (sqrt.f32 u1) (/.f32 1 (+.f32 1 (.f32 -1/2 u1))))
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(-.f32 (+.f32 1 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 1)
(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1)))
(.f32 (sqrt.f32 u1) (/.f32 1 (+.f32 1 (.f32 u1 (+.f32 -1/2 (.f32 u1 (+.f32 -1/8 (.f32 u1 -1/16))))))))
(pow.f32 (pow.f32 u1 1/4) 2)
(sqrt.f32 (fma.f32 u1 u1 u1))
(/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))

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

Calls

5 calls:

44.0ms	cosTheta_i
9.0ms	(/.f32 u1 (-.f32 1 u1))
9.0ms	u2
8.0ms	u1
8.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))

Results

Error	Segments	Branch
6.9b	1	`cosTheta_i`
6.9b	1	`u1`
6.9b	1	`u2`
6.9b	1	`(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))`
6.9b	1	`(/.f32 u1 (-.f32 1 u1))`

Compiler

Compiled 151 to 109 computations (27.8% saved)

regimes10.0ms (0.1%)

Accuracy

Total -17.3b remaining (-137.4%)

Threshold costs -17.3b (-137.4%)

Counts

2 → 1

Calls

Call 1

Inputs
(log.f32 1)
(sqrt.f32 u1)

Outputs
(sqrt.f32 u1)

Calls

3 calls:

3.0ms	u1
3.0ms	u2
3.0ms	cosTheta_i

Results

Error	Segments	Branch
12.6b	1	`cosTheta_i`
12.6b	1	`u1`
12.6b	1	`u2`

Compiler

Compiled 19 to 15 computations (21.1% saved)

simplify9.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	33	124
1	44	124
2	48	124
3	50	124
4	51	124

Stop Event

1×	fuel
1×	saturated

Calls

Call 1

Inputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(if (<=.f32 (/.f32 u1 (-.f32 1 u1)) 8160438/4294967296) (.f32 (sqrt.f32 (.f32 (+.f32 u1 1) u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 4294623744/4294967296) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)
(log.f32 1)

Outputs
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
(if (<=.f32 (/.f32 u1 (-.f32 1 u1)) 8160438/4294967296) (.f32 (sqrt.f32 (.f32 (+.f32 u1 1) u1)) (cos.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (.f32 (/.f32 1 (-.f32 1 u1)) u1)))
(if (<=.f32 (/.f32 u1 (-.f32 1 u1)) 4080219/2147483648) (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (.f32 u1 (+.f32 u1 1)))) (sqrt.f32 (.f32 u1 (/.f32 1 (-.f32 1 u1)))))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 4294623744/4294967296) (.f32 (sqrt.f32 u1) (cos.f32 (*.f32 314159265359/50000000000 u2))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(if (<=.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 8387937/8388608) (.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 u1)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
(sqrt.f32 u1)
(log.f32 1)
0

Compiler

Compiled 102 to 81 computations (20.6% saved)

soundness0.0ms (0%)

end142.0ms (1.4%)

Compiler: Compiled 84 to 62 computations (26.2% 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

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