Details

analyze372.0ms (7.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1
0%	0%	100%	2
0%	0%	100%	3
0%	0%	100%	4
0%	0%	100%	5
0%	0%	100%	6
0%	0%	100%	7
0%	0%	100%	8
0%	0%	100%	9
0%	0%	100%	10
0%	0%	100%	11
0%	0%	100%	12
0%	0%	100%	13
0%	0%	100%	14

Compiler

Compiled 37 to 28 computations (24.3% saved)

sample1.9s (38.2%)

Results

1.9s	8256×	body	128	valid
2.0ms	10×	body	128	invalid

Compiler

Compiled 74 to 56 computations (24.3% saved)

preprocess23.0ms (0.5%)

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	231	68
9	240	68
10	243	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))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 cosTheta_i (-.f32 1 cosTheta_i))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 cosTheta_i)))
(.f32 (sqrt.f32 (/.f32 u2 (-.f32 1 u2))) (sin.f32 (.f32 314159265359/50000000000 u1)))

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

Compiler

Compiled 14 to 11 computations (21.4% saved)

simplify8.0ms (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	88	17
9	91	17
10	92	17

Stop Event

1×

saturated

Counts

1 → 1

Calls

Call 1

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

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

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

0.5b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 42 to 33 computations (21.4% saved)

localize27.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series14.0ms (0.3%)

Counts

4 → 28

Calls

15 calls:

Time	Variable		Point	Expression
3.0ms	u2	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
3.0ms	u1	@	0	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	u1	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u2	@	inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
1.0ms	u1	@	-inf	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))

rewrite54.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

532×	`log-prod_binary32`
271×	`prod-diff_binary32`
196×	`expm1-udef_binary32`
195×	`log1p-udef_binary32`
164×	`log-pow_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	228	34
2	2838	34

Stop Event

1×	node limit

Counts

4 → 101

Calls

Call 1

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

simplify47.0ms (1%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-neg_binary32`
396×	`fma-def_binary32`
227×	`associate-/r*_binary32`
190×	`associate-l_binary32`
180×	`associate-r_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	894
1	294	820
2	1014	704
3	4369	704

Stop Event

1×	node limit

Counts

129 → 137

Calls

Call 1

Inputs
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 3))))))))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 3))))))))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (+.f32 (.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 3) (+.f32 (pow.f32 u1 2) u1))
(+.f32 (pow.f32 u1 3) (+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 1 (/.f32 1 u1))))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (+.f32 1 (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 1 (/.f32 1 u1))))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (+.f32 1 (/.f32 1 u1)))))
(*.f32 314159265359/50000000000 u2)
(-.f32 (.f32 314159265359/50000000000 u2) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(-.f32 (+.f32 (.f32 314159265359/50000000000 u2) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(-.f32 (+.f32 (.f32 314159265359/50000000000 u2) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (+.f32 (.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))

Outputs
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (/.f32 (.f32 1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) -1/2))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (.f32 u1 u1))) (/.f32 (.f32 1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (*.f32 u1 u1))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1 (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 1/2) (.f32 (sqrt.f32 -1) (.f32 u1 u1))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 u1)) (+.f32 (/.f32 -1/8 (sqrt.f32 -1)) (/.f32 1/2 (sqrt.f32 -1))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 3))))))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (.f32 u1 u1))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 3))))))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1 (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (.f32 (/.f32 1/4 (pow.f32 u1 3)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1 (sqrt.f32 -1))))))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3))) (+.f32 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1)) (+.f32 (/.f32 -1/8 (sqrt.f32 -1)) (/.f32 1/2 (sqrt.f32 -1)))) (.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)) (+.f32 (/.f32 1/2 (sqrt.f32 -1)) (/.f32 -1/4 (sqrt.f32 -1))))))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (/.f32 (.f32 1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) -1/2))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 -1/2 (/.f32 (.f32 (sqrt.f32 -1) u1) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (.f32 u1 u1))) (/.f32 (.f32 1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (*.f32 u1 u1))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1 (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 1/2) (.f32 (sqrt.f32 -1) (.f32 u1 u1))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 u1)) (+.f32 (/.f32 -1/8 (sqrt.f32 -1)) (/.f32 1/2 (sqrt.f32 -1))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 3))))))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (.f32 u1 u1))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 3))))))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1 (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (.f32 (/.f32 1/4 (pow.f32 u1 3)) (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1 (sqrt.f32 -1))))))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3))) (+.f32 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1)) (+.f32 (/.f32 -1/8 (sqrt.f32 -1)) (/.f32 1/2 (sqrt.f32 -1)))) (.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)) (+.f32 (/.f32 1/2 (sqrt.f32 -1)) (/.f32 -1/4 (sqrt.f32 -1))))))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (.f32 (pow.f32 u2 3) -31006276680305942139213528068663279/750000000000000000000000000000000)))
(-.f32 (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(+.f32 (fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 3))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 (pow.f32 u2 3) -31006276680305942139213528068663279/750000000000000000000000000000000))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 (pow.f32 u2 3) -31006276680305942139213528068663279/750000000000000000000000000000000 (fma.f32 314159265359/50000000000 u2 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))))
(-.f32 (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (+.f32 (.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (fma.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 7)) (.f32 (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (fma.f32 (pow.f32 u2 3) -31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 7) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000)))))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 3) (+.f32 (pow.f32 u1 2) u1))
(+.f32 (pow.f32 u1 3) (+.f32 u1 (*.f32 u1 u1)))
(+.f32 (pow.f32 u1 3) (fma.f32 u1 u1 u1))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(+.f32 (pow.f32 u1 3) (+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) u1)))
(+.f32 (pow.f32 u1 3) (+.f32 (*.f32 u1 u1) (+.f32 u1 (pow.f32 u1 4))))
(+.f32 (+.f32 (pow.f32 u1 3) (fma.f32 u1 u1 u1)) (pow.f32 u1 4))
(+.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 1 (/.f32 1 u1))))
(neg.f32 (+.f32 (+.f32 1 (/.f32 1 u1)) (/.f32 1 (*.f32 u1 u1))))
(-.f32 (/.f32 -1 (*.f32 u1 u1)) (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (+.f32 1 (/.f32 1 u1)))))
(neg.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (+.f32 1 (/.f32 1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (/.f32 -1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (+.f32 1 (/.f32 1 (pow.f32 u1 3)))))
(+.f32 (/.f32 -1 (*.f32 u1 u1)) (+.f32 -1 (+.f32 (/.f32 -1 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))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 1 (/.f32 1 u1))))
(neg.f32 (+.f32 (+.f32 1 (/.f32 1 u1)) (/.f32 1 (*.f32 u1 u1))))
(-.f32 (/.f32 -1 (*.f32 u1 u1)) (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (*.f32 u1 u1))))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (+.f32 1 (/.f32 1 u1)))))
(neg.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (+.f32 (+.f32 1 (/.f32 1 u1)) (/.f32 1 (pow.f32 u1 3)))))
(-.f32 (/.f32 -1 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (+.f32 1 (/.f32 1 (pow.f32 u1 3)))))
(+.f32 (/.f32 -1 (*.f32 u1 u1)) (+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (pow.f32 u1 3)))))
(*.f32 314159265359/50000000000 u2)
(-.f32 (.f32 314159265359/50000000000 u2) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (.f32 314159265359/50000000000 u2) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(fma.f32 314159265359/50000000000 u2 (*.f32 (pow.f32 u2 3) -31006276680305942139213528068663279/750000000000000000000000000000000))
(-.f32 (+.f32 (.f32 314159265359/50000000000 u2) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(+.f32 (fma.f32 314159265359/50000000000 u2 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (.f32 -31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))
(fma.f32 314159265359/50000000000 u2 (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (*.f32 (pow.f32 u2 3) -31006276680305942139213528068663279/750000000000000000000000000000000)))
(fma.f32 (pow.f32 u2 3) -31006276680305942139213528068663279/750000000000000000000000000000000 (fma.f32 314159265359/50000000000 u2 (*.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))))
(-.f32 (+.f32 (.f32 314159265359/50000000000 u2) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (+.f32 (.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(-.f32 (fma.f32 314159265359/50000000000 u2 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (fma.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(-.f32 (fma.f32 314159265359/50000000000 u2 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7))))
(fma.f32 314159265359/50000000000 u2 (fma.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5) (fma.f32 (pow.f32 u2 3) -31006276680305942139213528068663279/750000000000000000000000000000000 (*.f32 (pow.f32 u2 7) -302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000))))

prune152.0ms (3.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	124	13	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	125	13	138

Error

0.0b

Counts

138 → 13

Alt Table

Status	Error	Program
	0.7b	(.f32 (sqrt.f32 (.f32 (/.f32 (pow.f32 (cbrt.f32 u1) 2) 1) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	3.0b	(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
	14.0b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
	0.5b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.6b	(.f32 (sqrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 1/4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	1.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (exp.f32 (log.f32 (.f32 314159265359/50000000000 u2)))))
	13.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
	1.6b	(-.f32 (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (+.f32 (.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	1.1b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	1.0b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)

Compiler

Compiled 3121 to 2432 computations (22.1% saved)

localize32.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

series6.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

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

rewrite55.0ms (1.1%)

Algorithm

1×	batch-egg-rewrite

Rules

346×	`prod-diff_binary32`
222×	`expm1-udef_binary32`
221×	`log1p-udef_binary32`
191×	`log-pow_binary32`
132×	`fma-def_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	271	28
2	3326	28

Stop Event

1×	node limit

Counts

3 → 60

Calls

Call 1

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

Inputs

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

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

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

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

Outputs

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

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

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

simplify45.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

573×	`fma-neg_binary32`
280×	`fma-def_binary32`
229×	`sub-neg_binary32`
218×	`associate-/r*_binary32`
215×	`distribute-neg-frac_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	80	948
1	230	904
2	751	790
3	3566	790

Stop Event

1×	node limit

Counts

104 → 84

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) (sin.f32 (.f32 314159265359/50000000000 u2)))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 3))))))))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 3))))))))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (+.f32 (.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 -314159265359/50000000000 u2)
(*.f32 -314159265359/50000000000 u2)
(*.f32 -314159265359/50000000000 u2)
(*.f32 -314159265359/50000000000 u2)

Outputs
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(*.f32 98696044010906577398881/2500000000000000000000 (pow.f32 u2 2))
(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000)))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 u2 314159265359/50000000000))) (/.f32 (.f32 1/2 (sin.f32 (.f32 u2 314159265359/50000000000))) (*.f32 (sqrt.f32 -1) u1)))
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(*.f32 u2 314159265359/50000000000)
(*.f32 314159265359/50000000000 u2)
(*.f32 u2 314159265359/50000000000)
(*.f32 -314159265359/50000000000 u2)
(*.f32 u2 -314159265359/50000000000)
(*.f32 -314159265359/50000000000 u2)
(*.f32 u2 -314159265359/50000000000)
(*.f32 -314159265359/50000000000 u2)
(*.f32 u2 -314159265359/50000000000)
(*.f32 -314159265359/50000000000 u2)
(*.f32 u2 -314159265359/50000000000)

prune182.0ms (3.7%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	136	5	141
Fresh	2	10	12
Picked	1	0	1
Done	0	0	0
Total	139	15	154

Error

0.0b

Counts

154 → 15

Alt Table

Status	Error	Program
	0.5b	(.f32 (sqrt.f32 (expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	3.0b	(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
	1.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (exp.f32 (log.f32 (.f32 314159265359/50000000000 u2)))))
	14.0b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
	0.5b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)))
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	1.1b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))))
	13.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
	1.6b	(-.f32 (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (+.f32 (.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	1.0b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)

Compiler

Compiled 3290 to 2473 computations (24.8% saved)

localize34.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sqrt.f32 (.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000)))
✓	0.3b	(.f32 u2 (.f32 u2 98696044010906577398881/2500000000000000000000))
✓	0.3b	(*.f32 u2 98696044010906577398881/2500000000000000000000)
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))

series10.0ms (0.2%)

Counts

4 → 56

Calls

15 calls:

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

rewrite59.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

294×	`prod-diff_binary32`
225×	`expm1-udef_binary32`
224×	`log1p-udef_binary32`
193×	`log-pow_binary32`
130×	`fma-def_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	42
1	270	32
2	3319	32

Stop Event

1×	node limit

Counts

4 → 73

Calls

Call 1

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

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

simplify47.0ms (1%)

Algorithm

1×	egg-herbie

Rules

573×	`fma-neg_binary32`
282×	`fma-def_binary32`
229×	`sub-neg_binary32`
218×	`associate-/r*_binary32`
215×	`distribute-neg-frac_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	81	996
1	232	952
2	751	838
3	3568	838

Stop Event

1×	node limit

Counts

129 → 99

Calls

Call 1

Inputs
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 3))))))))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 3))))))))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (+.f32 (.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.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 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 -314159265359/50000000000 u2)
(*.f32 -314159265359/50000000000 u2)
(*.f32 -314159265359/50000000000 u2)
(*.f32 -314159265359/50000000000 u2)

Outputs
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (/.f32 (.f32 1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) -1/2))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 u1) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (.f32 u1 u1))) (/.f32 (.f32 1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (*.f32 u1 u1))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (.f32 u1 (.f32 (sqrt.f32 -1) -1))))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 u1)) (+.f32 (/.f32 -1/8 (sqrt.f32 -1)) (/.f32 1/2 (sqrt.f32 -1))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 3))))))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (.f32 u1 u1))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (/.f32 (.f32 1/4 (sin.f32 (.f32 314159265359/50000000000 u2))) (*.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 3)))))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (.f32 u1 (.f32 (sqrt.f32 -1) -1)))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (*.f32 (sqrt.f32 -1) -1) (pow.f32 u1 3))))))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (+.f32 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)) (+.f32 (/.f32 1/2 (sqrt.f32 -1)) (/.f32 -1/4 (sqrt.f32 -1)))) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3))) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 u1)) (+.f32 (/.f32 -1/8 (sqrt.f32 -1)) (/.f32 1/2 (sqrt.f32 -1))))))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (/.f32 (.f32 1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (*.f32 (sqrt.f32 -1) u1)))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) -1/2))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 -1/2 u1) (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (.f32 u1 u1))) (/.f32 (.f32 1/2 (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 -1) (*.f32 u1 u1))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (.f32 u1 (.f32 (sqrt.f32 -1) -1))))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 u1)) (+.f32 (/.f32 -1/8 (sqrt.f32 -1)) (/.f32 1/2 (sqrt.f32 -1))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 3))))))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (.f32 u1 u1))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (/.f32 (.f32 1/4 (sin.f32 (.f32 314159265359/50000000000 u2))) (*.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 3)))))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 (.f32 u1 (.f32 (sqrt.f32 -1) -1)))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (*.f32 (sqrt.f32 -1) -1) (pow.f32 u1 3))))))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (+.f32 (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)) (+.f32 (/.f32 1/2 (sqrt.f32 -1)) (/.f32 -1/4 (sqrt.f32 -1)))) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3))) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 u1)) (+.f32 (/.f32 -1/8 (sqrt.f32 -1)) (/.f32 1/2 (sqrt.f32 -1))))))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (.f32 314159265359/50000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (.f32 (pow.f32 u2 3) -31006276680305942139213528068663279/750000000000000000000000000000000)))
(-.f32 (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (fma.f32 314159265359/50000000000 u2 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (fma.f32 314159265359/50000000000 u2 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (*.f32 (pow.f32 u2 3) -31006276680305942139213528068663279/750000000000000000000000000000000)))
(-.f32 (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (+.f32 (.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (fma.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 7)) (.f32 (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (.f32 314159265359/50000000000 u2))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (fma.f32 314159265359/50000000000 u2 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 u2 98696044010906577398881/2500000000000000000000)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 u2 98696044010906577398881/2500000000000000000000)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 u2 98696044010906577398881/2500000000000000000000)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 u2 98696044010906577398881/2500000000000000000000)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 u2 98696044010906577398881/2500000000000000000000)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 u2 98696044010906577398881/2500000000000000000000)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 u2 98696044010906577398881/2500000000000000000000)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 u2 98696044010906577398881/2500000000000000000000)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 u2 98696044010906577398881/2500000000000000000000)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 u2 98696044010906577398881/2500000000000000000000)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 u2 98696044010906577398881/2500000000000000000000)
(*.f32 98696044010906577398881/2500000000000000000000 u2)
(*.f32 u2 98696044010906577398881/2500000000000000000000)
(*.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 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 314159265359/50000000000 u2)
(*.f32 -314159265359/50000000000 u2)
(*.f32 u2 -314159265359/50000000000)
(*.f32 -314159265359/50000000000 u2)
(*.f32 u2 -314159265359/50000000000)
(*.f32 -314159265359/50000000000 u2)
(*.f32 u2 -314159265359/50000000000)
(*.f32 -314159265359/50000000000 u2)
(*.f32 u2 -314159265359/50000000000)

prune91.0ms (1.8%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	99	0	99
Fresh	0	14	14
Picked	0	1	1
Done	0	0	0
Total	99	15	114

Error

0.0b

Counts

114 → 15

Alt Table

Status	Error	Program
▶	0.5b	(.f32 (sqrt.f32 (expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	3.0b	(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
	1.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (exp.f32 (log.f32 (.f32 314159265359/50000000000 u2)))))
	14.0b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
	0.5b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)))
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	1.1b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))))
	13.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
	1.6b	(-.f32 (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (+.f32 (.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	1.0b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)

Compiler

Compiled 2413 to 1889 computations (21.7% saved)

localize42.0ms (0.8%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
✓	0.3b	(expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))
✓	0.4b	(.f32 (sqrt.f32 (expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.4b	(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))

series6.0ms (0.1%)

Counts

3 → 44

Calls

12 calls:

Time	Variable		Point	Expression
2.0ms	u1	@	inf	(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
1.0ms	u1	@	0	(.f32 (sqrt.f32 (expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
1.0ms	u1	@	0	(log1p.f32 (/.f32 u1 (-.f32 1 u1)))
0.0ms	u1	@	-inf	(.f32 (sqrt.f32 (expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
0.0ms	u1	@	inf	(.f32 (sqrt.f32 (expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))

rewrite59.0ms (1.2%)

Algorithm

1×	batch-egg-rewrite

Rules

576×	`prod-diff_binary32`
236×	`log1p-udef_binary32`
138×	`add-sqr-sqrt_binary32`
134×	`pow1_binary32`
133×	`*-un-lft-identity_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	38
1	291	33
2	3512	33

Stop Event

1×	node limit

Counts

3 → 84

Calls

Call 1

Inputs

(*.f32 (sqrt.f32 (expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))

(expm1.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))

(log1p.f32 (/.f32 u1 (-.f32 1 u1)))

Outputs

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

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

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

simplify50.0ms (1%)

Algorithm

1×	egg-herbie

Rules

611×	`fma-neg_binary32`
477×	`fma-def_binary32`
248×	`associate-+l+_binary32`
236×	`associate-/r*_binary32`
203×	`associate-+r+_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	118	1182
1	356	1088
2	1163	970
3	4799	970

Stop Event

1×	node limit

Counts

128 → 135

Calls

Call 1

Inputs
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 3))))))))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 3))))))))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(-.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (+.f32 (.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 (pow.f32 u1 3) (+.f32 (pow.f32 u1 2) u1))
(+.f32 (pow.f32 u1 3) (+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 1 (/.f32 1 u1))))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (+.f32 1 (/.f32 1 u1)))))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 1 (/.f32 1 u1))))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (+.f32 1 (/.f32 1 u1)))))
u1
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) u1)
(+.f32 (.f32 1/3 (pow.f32 u1 3)) (+.f32 (.f32 1/2 (pow.f32 u1 2)) u1))
(+.f32 (.f32 1/3 (pow.f32 u1 3)) (+.f32 (.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/4 (pow.f32 u1 4)) u1)))
(+.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))
(+.f32 (/.f32 1 u1) (+.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))
(+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (/.f32 1 u1) (+.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))
(+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (/.f32 1 u1) (+.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))
(log.f32 (/.f32 -1 u1))
(+.f32 (log.f32 (/.f32 -1 u1)) (/.f32 1 u1))
(+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (log.f32 (/.f32 -1 u1)) (/.f32 1 u1)))
(+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (log.f32 (/.f32 -1 u1)) (/.f32 1 u1))))

Outputs
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) -1/2))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) -1/2) (.f32 (sqrt.f32 -1) u1)))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (.f32 u1 u1))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (*.f32 u1 u1)))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1 (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (/.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (*.f32 u1 u1)))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 u1)) (+.f32 (/.f32 -1/8 (sqrt.f32 -1)) (/.f32 1/2 (sqrt.f32 -1))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 3))))))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (.f32 u1 u1))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 3))))))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1 (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1 (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3))) (+.f32 (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1)) (+.f32 (/.f32 -1/8 (sqrt.f32 -1)) (/.f32 1/2 (sqrt.f32 -1))))) (.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)) (+.f32 (/.f32 1/2 (sqrt.f32 -1)) (/.f32 -1/4 (sqrt.f32 -1)))))))
(.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(+.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 -1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) u1))))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) -1/2))
(fma.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2)) (/.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) -1/2) (.f32 (sqrt.f32 -1) u1)))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (sqrt.f32 -1) (pow.f32 u1 2)))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (.f32 u1 u1))) (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (*.f32 u1 u1)))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1 (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (/.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 -1))) (*.f32 u1 u1)))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 u1 u1)) (+.f32 (/.f32 -1/8 (sqrt.f32 -1)) (/.f32 1/2 (sqrt.f32 -1))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1))) (+.f32 (.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 2)))) (+.f32 (.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 2)))) (+.f32 (.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3)))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 3))))))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 3) (.f32 u1 u1))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (*.f32 (pow.f32 (sqrt.f32 -1) 3) (pow.f32 u1 3))))))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (.f32 u1 u1))) (fma.f32 1/8 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1 (.f32 (sqrt.f32 -1) (.f32 u1 u1)))) (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) (pow.f32 u1 3))) (.f32 1/4 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 -1 (*.f32 (sqrt.f32 -1) (pow.f32 u1 3)))))))))))
(-.f32 (.f32 (sqrt.f32 -1) (sin.f32 (.f32 314159265359/50000000000 u2))) (fma.f32 1/16 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (pow.f32 (sqrt.f32 -1) 5) (pow.f32 u1 3))) (+.f32 (fma.f32 1/2 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 (sqrt.f32 -1) u1)) (.f32 (/.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (.f32 u1 u1)) (+.f32 (/.f32 -1/8 (sqrt.f32 -1)) (/.f32 1/2 (sqrt.f32 -1))))) (.f32 (/.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (pow.f32 u1 3)) (+.f32 (/.f32 1/2 (sqrt.f32 -1)) (/.f32 -1/4 (sqrt.f32 -1)))))))
(.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(-.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (.f32 (.f32 314159265359/50000000000 u2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (.f32 314159265359/50000000000 u2) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (.f32 (pow.f32 u2 3) -31006276680305942139213528068663279/750000000000000000000000000000000)))
(-.f32 (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
(fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (fma.f32 314159265359/50000000000 u2 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (*.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3))))
(-.f32 (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (+.f32 (.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
(-.f32 (fma.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (fma.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 u2 7)) (.f32 (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
(-.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 314159265359/50000000000 u2) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3)) (.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (fma.f32 314159265359/50000000000 u2 (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (pow.f32 u2 5))) (fma.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (pow.f32 u2 3) (*.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7)))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
(.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
(.f32 (sin.f32 (.f32 -314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 -314159265359/50000000000)))
u1
(+.f32 (pow.f32 u1 2) u1)
(+.f32 u1 (*.f32 u1 u1))
(fma.f32 u1 u1 u1)
(+.f32 (pow.f32 u1 3) (+.f32 (pow.f32 u1 2) u1))
(+.f32 (pow.f32 u1 3) (+.f32 u1 (*.f32 u1 u1)))
(+.f32 (pow.f32 u1 3) (fma.f32 u1 u1 u1))
(fma.f32 u1 (fma.f32 u1 u1 u1) u1)
(+.f32 (pow.f32 u1 3) (+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) u1)))
(+.f32 (+.f32 (pow.f32 u1 3) (*.f32 u1 u1)) (+.f32 u1 (pow.f32 u1 4)))
(+.f32 (pow.f32 u1 3) (+.f32 u1 (fma.f32 u1 u1 (pow.f32 u1 4))))
(+.f32 u1 (*.f32 u1 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)))
-1
(neg.f32 (+.f32 1 (/.f32 1 u1)))
(+.f32 -1 (neg.f32 (/.f32 1 u1)))
(+.f32 -1 (/.f32 -1 u1))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 1 (/.f32 1 u1))))
(neg.f32 (+.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) 1) (/.f32 1 u1)))
(-.f32 (/.f32 -1 (*.f32 u1 u1)) (+.f32 1 (/.f32 1 u1)))
(-.f32 (/.f32 (/.f32 -1 u1) u1) (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (+.f32 1 (/.f32 1 u1)))))
(neg.f32 (+.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))) (+.f32 1 (/.f32 1 u1))))
(-.f32 (/.f32 -1 (*.f32 u1 u1)) (+.f32 1 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(+.f32 (/.f32 (/.f32 -1 u1) u1) (+.f32 -1 (+.f32 (/.f32 -1 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))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 1 (/.f32 1 u1))))
(neg.f32 (+.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) 1) (/.f32 1 u1)))
(-.f32 (/.f32 -1 (*.f32 u1 u1)) (+.f32 1 (/.f32 1 u1)))
(-.f32 (/.f32 (/.f32 -1 u1) u1) (+.f32 1 (/.f32 1 u1)))
(neg.f32 (+.f32 (/.f32 1 (pow.f32 u1 2)) (+.f32 (/.f32 1 (pow.f32 u1 3)) (+.f32 1 (/.f32 1 u1)))))
(neg.f32 (+.f32 (+.f32 (/.f32 1 (*.f32 u1 u1)) (/.f32 1 (pow.f32 u1 3))) (+.f32 1 (/.f32 1 u1))))
(-.f32 (/.f32 -1 (*.f32 u1 u1)) (+.f32 1 (+.f32 (/.f32 1 u1) (/.f32 1 (pow.f32 u1 3)))))
(+.f32 (/.f32 (/.f32 -1 u1) u1) (+.f32 -1 (+.f32 (/.f32 -1 u1) (/.f32 -1 (pow.f32 u1 3)))))
u1
(+.f32 (*.f32 1/2 (pow.f32 u1 2)) u1)
(fma.f32 1/2 (*.f32 u1 u1) u1)
(+.f32 (.f32 1/3 (pow.f32 u1 3)) (+.f32 (.f32 1/2 (pow.f32 u1 2)) u1))
(fma.f32 1/3 (pow.f32 u1 3) (fma.f32 1/2 (*.f32 u1 u1) u1))
(fma.f32 (pow.f32 u1 3) 1/3 (fma.f32 1/2 (*.f32 u1 u1) u1))
(fma.f32 1/2 (*.f32 u1 u1) (fma.f32 (pow.f32 u1 3) 1/3 u1))
(+.f32 (.f32 1/3 (pow.f32 u1 3)) (+.f32 (.f32 1/2 (pow.f32 u1 2)) (+.f32 (*.f32 1/4 (pow.f32 u1 4)) u1)))
(fma.f32 1/3 (pow.f32 u1 3) (fma.f32 1/2 (*.f32 u1 u1) (fma.f32 1/4 (pow.f32 u1 4) u1)))
(fma.f32 (pow.f32 u1 3) 1/3 (fma.f32 1/2 (*.f32 u1 u1) (fma.f32 1/4 (pow.f32 u1 4) u1)))
(fma.f32 1/2 (*.f32 u1 u1) (fma.f32 (pow.f32 u1 3) 1/3 (fma.f32 1/4 (pow.f32 u1 4) u1)))
(+.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))
(+.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))
(log.f32 (/.f32 -1 u1))
(+.f32 (/.f32 1 u1) (+.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))
(+.f32 (/.f32 1 u1) (+.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))
(+.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1)))
(+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (/.f32 1 u1) (+.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1))))
(+.f32 (+.f32 (/.f32 1 u1) (+.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (/.f32 1/2 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1))))
(+.f32 (/.f32 (/.f32 1/2 u1) u1) (+.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (/.f32 1 u1) (+.f32 (log.f32 (/.f32 1 u1)) (log.f32 -1)))))
(+.f32 (/.f32 1/2 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 1 u1) (+.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (/.f32 1/3 (pow.f32 u1 3))))
(+.f32 (/.f32 1/2 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1/3 (pow.f32 u1 3)) (log.f32 (/.f32 -1 u1)))))
(+.f32 (/.f32 1 u1) (+.f32 (/.f32 (/.f32 1/2 u1) u1) (+.f32 (/.f32 1/3 (pow.f32 u1 3)) (log.f32 (/.f32 -1 u1)))))
(log.f32 (/.f32 -1 u1))
(+.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))
(+.f32 (log.f32 (/.f32 -1 u1)) (/.f32 1 u1))
(+.f32 (/.f32 1 u1) (+.f32 (neg.f32 (log.f32 u1)) (log.f32 -1)))
(+.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1)))
(+.f32 (*.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (log.f32 (/.f32 -1 u1)) (/.f32 1 u1)))
(+.f32 (+.f32 (/.f32 1 u1) (+.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (/.f32 1/2 (*.f32 u1 u1)))
(+.f32 (/.f32 1/2 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1))))
(+.f32 (/.f32 (/.f32 1/2 u1) u1) (+.f32 (/.f32 1 u1) (log.f32 (/.f32 -1 u1))))
(+.f32 (.f32 1/2 (/.f32 1 (pow.f32 u1 2))) (+.f32 (.f32 1/3 (/.f32 1 (pow.f32 u1 3))) (+.f32 (log.f32 (/.f32 -1 u1)) (/.f32 1 u1))))
(+.f32 (/.f32 1/2 (*.f32 u1 u1)) (+.f32 (+.f32 (/.f32 1 u1) (+.f32 (neg.f32 (log.f32 u1)) (log.f32 -1))) (/.f32 1/3 (pow.f32 u1 3))))
(+.f32 (/.f32 1/2 (*.f32 u1 u1)) (+.f32 (/.f32 1 u1) (+.f32 (/.f32 1/3 (pow.f32 u1 3)) (log.f32 (/.f32 -1 u1)))))
(+.f32 (/.f32 1 u1) (+.f32 (/.f32 (/.f32 1/2 u1) u1) (+.f32 (/.f32 1/3 (pow.f32 u1 3)) (log.f32 (/.f32 -1 u1)))))

prune138.0ms (2.8%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	150	1	151
Fresh	1	12	13
Picked	1	0	1
Done	0	1	1
Total	152	14	166

Error

0.0b

Counts

166 → 14

Alt Table

Status	Error	Program
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)))))
	1.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (exp.f32 (log.f32 (.f32 314159265359/50000000000 u2)))))
	14.0b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))) (log.f32 (cbrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
	0.5b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)))
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	1.1b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
	3.0b	(pow.f32 (pow.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))) 3) 1/3)
	0.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))))
	1.2b	(.f32 (sqrt.f32 (expm1.f32 (exp.f32 (log.f32 (log1p.f32 (/.f32 u1 (-.f32 1 u1))))))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	13.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2))))) (log.f32 (sqrt.f32 (exp.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))))
	1.6b	(-.f32 (+.f32 (.f32 314159265359/50000000000 (.f32 u2 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 3060196847853821555298148281676017575122444629042460390799/37500000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))) (+.f32 (.f32 302029322777818351566783844332719832329455959975176141755859165754785028165295919/3937500000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 7) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 31006276680305942139213528068663279/750000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	1.0b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)

Compiler

Compiled 3430 to 2537 computations (26% saved)

regimes1.3s (25.8%)

Accuracy

Total 0.4b remaining (88%)

Threshold costs 0.4b (88%)

Counts

179 → 1

Compiler

Compiled 2995 to 2222 computations (25.8% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary32`
2×	`+-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	13	22
1	20	22
2	24	22
3	26	22
4	27	22

Stop Event

1×

saturated

Calls

Call 1

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

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

end214.0ms (4.3%)

Stop Event

1×

fuel

Compiler

Compiled 349 to 279 computations (20.1% 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	231	68
9	240	68
10	243	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	231	68
9	240	68
10	243	68
0	3	3

Details

analyze372.0ms (7.6%)

sample1.9s (38.2%)

preprocess23.0ms (0.5%)

simplify8.0ms (0.2%)

prune2.0ms (0%)

localize27.0ms (0.5%)

series14.0ms (0.3%)

rewrite54.0ms (1.1%)

simplify47.0ms (1%)

prune152.0ms (3.1%)

localize32.0ms (0.7%)

series6.0ms (0.1%)

rewrite55.0ms (1.1%)

simplify45.0ms (0.9%)

prune182.0ms (3.7%)

localize34.0ms (0.7%)

series10.0ms (0.2%)

rewrite59.0ms (1.2%)

simplify47.0ms (1%)

prune91.0ms (1.8%)

localize42.0ms (0.8%)

series6.0ms (0.1%)

rewrite59.0ms (1.2%)

simplify50.0ms (1%)

prune138.0ms (2.8%)

regimes1.3s (25.8%)

simplify2.0ms (0%)

end214.0ms (4.3%)

Profiling

Iter	Nodes	Cost
0	25	68
1	40	68
2	50	68
3	66	68
4	86	68
5	112	68
6	143	68
7	190	68
8	231	68
9	240	68
10	243	68
0	3	3