Details

analyze381.0ms (6.2%)

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 (31.4%)

Results

1.9s	8256×	body	128	valid
1.0ms	4×	body	128	invalid

Compiler

Compiled 88 to 67 computations (23.9% saved)

simplify8.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17

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

0.6b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 42 to 33 computations (21.4% saved)

localize31.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series32.0ms (0.5%)

Counts

4 → 28

Calls

4 calls:

26.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	(/.f32 u1 (-.f32 1 u1))
2.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
1.0ms	(*.f32 314159265359/50000000000 u2)

rewrite66.0ms (1.1%)

Algorithm

2×	batch-egg-rewrite

Rules

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

Counts

4 → 101

Calls

4 calls:

65.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
65.0ms	(/.f32 u1 (-.f32 1 u1))
65.0ms	(*.f32 314159265359/50000000000 u2)
65.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	227	34
2	2724	34
3	5085	34
0	0	0
1	0	0

simplify52.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-neg_binary32`
405×	`fma-def_binary32`
308×	`sub-neg_binary32`
228×	`associate-/r*_binary32`
228×	`distribute-neg-frac_binary32`

Counts

129 → 136

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	97	894
1	292	820
2	958	704
3	3523	704
4	5019	704

prune151.0ms (2.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	123	13	136
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	124	13	137

Error

0.0b

Counts

137 → 13

Alt Table

Status	Error	Program
	0.7b	(.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) 3)) (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)
	1.1b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (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)))
	1.3b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 2)
	1.5b	(-.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 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (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 u1 (-.f32 1 u1))) (log1p.f32 (expm1.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2)) 3)))
	0.7b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))) (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)))

Compiler

Compiled 3013 to 2343 computations (22.2% saved)

localize37.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
✓	0.4b	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))
	0.4b	(*.f32 314159265359/50000000000 u2)
✓	0.8b	(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3)

series94.0ms (1.5%)

Counts

3 → 36

Calls

3 calls:

81.0ms	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))
9.0ms	(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3)
4.0ms	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)

rewrite86.0ms (1.4%)

Algorithm

2×	batch-egg-rewrite

Rules

338×	`prod-diff_binary32`
240×	`expm1-udef_binary32`
239×	`log1p-udef_binary32`
209×	`log-pow_binary32`
139×	`add-sqr-sqrt_binary32`

Counts

3 → 54

Calls

3 calls:

85.0ms	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
85.0ms	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))
85.0ms	(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	296	40
2	3271	40
3	4847	40
4	4871	40
0	0	0
1	0	0

simplify80.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

537×	`associate-/l*_binary32`
444×	`fma-def_binary32`
367×	`fma-neg_binary32`
343×	`associate-/r*_binary32`
328×	`associate-r_binary32`

Counts

90 → 93

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	115	1366
1	331	1280
2	1216	1072
3	4751	1072
4	4999	1072
5	4961	1072

prune140.0ms (2.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	104	5	109
Fresh	6	6	12
Picked	1	0	1
Done	0	0	0
Total	111	11	122

Error

0.0b

Counts

122 → 11

Alt Table

Status	Error	Program
	0.7b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
▶	0.5b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))) 3)))
	3.1b	(cbrt.f32 (-.f32 (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (.f32 3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))))))
	22.8b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))) 1)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.9b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2)) 3)) 3)))
	3.1b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (fma.f32 (pow.f32 u2 5) -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)))))
	1.1b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (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)))
	1.3b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 2)
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)

Compiler

Compiled 2943 to 2447 computations (16.9% saved)

localize45.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
✓	0.4b	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))) 3))
✓	0.4b	(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
✓	0.8b	(pow.f32 (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))) 3)

series85.0ms (1.4%)

Counts

3 → 44

Calls

3 calls:

76.0ms

(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))) 3))

6.0ms

(pow.f32 (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))) 3)

2.0ms

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

rewrite75.0ms (1.2%)

Algorithm

2×	batch-egg-rewrite

Rules

346×	`prod-diff_binary32`
266×	`expm1-udef_binary32`
265×	`log1p-udef_binary32`
154×	`add-sqr-sqrt_binary32`
151×	`log1p-expm1-u_binary32`

Counts

3 → 50

Calls

3 calls:

74.0ms

(*.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))) 3))

74.0ms

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

74.0ms

(pow.f32 (sin.f32 (sqrt.f32 (*.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))) 3)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	47
1	338	37
2	3682	37
3	4918	37
0	0	0
1	0	0

simplify63.0ms (1%)

Algorithm

1×	egg-herbie

Rules

517×	`associate-/l*_binary32`
362×	`fma-def_binary32`
340×	`associate-r_binary32`
312×	`associate-/r*_binary32`
308×	`associate-l_binary32`

Counts

94 → 82

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	1276
1	278	1196
2	1082	1036
3	4705	1036
4	5117	1036

prune129.0ms (2.1%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	114	1	115
Fresh	2	8	10
Picked	0	1	1
Done	0	0	0
Total	116	10	126

Error

0.0b

Counts

126 → 10

Alt Table

Status	Error	Program
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.6b	(cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))) 3))
	0.7b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓	0.5b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))) 3)))
	3.1b	(cbrt.f32 (-.f32 (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (.f32 3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))))))
	22.8b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))) 1)))
	0.9b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2)) 3)) 3)))
	1.1b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (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)))
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)

Compiler

Compiled 3094 to 2507 computations (19% saved)

localize36.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

series25.0ms (0.4%)

Counts

2 → 32

Calls

2 calls:

23.0ms

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

2.0ms

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

rewrite91.0ms (1.5%)

Algorithm

2×	batch-egg-rewrite

Rules

450×	`prod-diff_binary32`
222×	`expm1-udef_binary32`
221×	`log1p-udef_binary32`
202×	`log-pow_binary32`
132×	`fma-def_binary32`

Counts

2 → 37

Calls

2 calls:

90.0ms

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

90.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	33
1	269	23
2	3126	23
3	4917	23
4	5099	23
0	0	0
1	0	0

simplify50.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

668×	`fma-neg_binary32`
338×	`fma-def_binary32`
270×	`distribute-rgt-neg-in_binary32`
257×	`sub-neg_binary32`
224×	`distribute-neg-in_binary32`

Counts

69 → 65

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	85	928
1	248	872
2	783	760
3	3055	760
4	4961	760

prune127.0ms (2.1%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	8	8
Picked	0	1	1
Done	0	1	1
Total	138	10	148

Error

0.0b

Counts

148 → 10

Alt Table

Status	Error	Program
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.6b	(cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (cbrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2))) 3))
	0.7b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1))) (/.f32 u1 (sqrt.f32 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
✓	0.5b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))) 3)))
	3.1b	(cbrt.f32 (-.f32 (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (.f32 (pow.f32 u2 3) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))))) (.f32 3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3)))))))
	22.8b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (-.f32 (exp.f32 (log1p.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))) 1)))
	0.9b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2)) 3)) 3)))
	1.1b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (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)))
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)

Compiler

Compiled 2865 to 2129 computations (25.7% saved)

regimes2.2s (35.6%)

Accuracy

Total 0.4b remaining (85.6%)

Threshold costs 0.4b (85.6%)

Counts

213 → 1

Compiler

Compiled 40375 to 32976 computations (18.3% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

3×	`*-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	17	30
1	23	30
2	27	30
3	29	30
4	30	30
5	29	30

end152.0ms (2.5%)

Compiler: Compiled 252 to 208 computations (17.5% saved)

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17

Details

analyze381.0ms (6.2%)

sample1.9s (31.4%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize31.0ms (0.5%)

series32.0ms (0.5%)

rewrite66.0ms (1.1%)

simplify52.0ms (0.8%)

prune151.0ms (2.4%)

localize37.0ms (0.6%)

series94.0ms (1.5%)

rewrite86.0ms (1.4%)

simplify80.0ms (1.3%)

prune140.0ms (2.3%)

localize45.0ms (0.7%)

series85.0ms (1.4%)

rewrite75.0ms (1.2%)

simplify63.0ms (1%)

prune129.0ms (2.1%)

localize36.0ms (0.6%)

series25.0ms (0.4%)

rewrite91.0ms (1.5%)

simplify50.0ms (0.8%)

prune127.0ms (2.1%)

regimes2.2s (35.6%)

simplify2.0ms (0%)

end152.0ms (2.5%)

Profiling

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	27	17
4	34	17
5	44	17
6	54	17
7	69	17
8	76	17
9	79	17
10	80	17
11	60	17