Details

analyze358.0ms (5.3%)

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)

sample1.8s (27.2%)

Results

1.8s	8256×	body	128	valid
1.0ms	3×	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`

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

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

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

Error

0.3b

Counts

2 → 1

Alt Table

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

Compiler

Compiled 42 to 33 computations (21.4% saved)

localize28.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series25.0ms (0.4%)

Counts

4 → 36

Calls

4 calls:

20.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	(/.f32 u1 (-.f32 1 u1))
2.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
1.0ms	(*.f32 314159265359/50000000000 u2)

rewrite51.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	34
1	229	34
2	2842	34

Stop Event

1×	node limit

Counts

4 → 101

Calls

4 calls:

49.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
49.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
49.0ms	(/.f32 u1 (-.f32 1 u1))
49.0ms	(*.f32 314159265359/50000000000 u2)

simplify45.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

557×	`fma-neg_binary32`
324×	`fma-def_binary32`
287×	`sub-neg_binary32`
228×	`associate-/r*_binary32`
178×	`associate-l_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	994
1	300	941
2	988	813
3	4205	813

Stop Event

1×	node limit

Counts

137 → 141

prune209.0ms (3.1%)

Pruning

13 alts after pruning (13 fresh and 0 done)

	Pruned	Kept	Total
New	128	13	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	129	13	142

Error

0.1b

Counts

142 → 13

Alt Table

Status	Error	Program
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 1))
▶	0.3b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3)))
	7.8b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
	2.4b	(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 3) (+.f32 (pow.f32 u1 2) (+.f32 (pow.f32 u1 4) u1)))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (+.f32 (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))) (log.f32 (sqrt.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))))
	1.1b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.4b	(-.f32 (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (.f32 98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 (cbrt.f32 (.f32 u1 u1)) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2)))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 314159265359/50000000000 u2)))) (cos.f32 1)) (.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 1))))
	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2)) 2)))
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))

Compiler

Compiled 3227 to 2512 computations (22.2% saved)

localize40.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

series62.0ms (0.9%)

Counts

3 → 36

Calls

3 calls:

53.0ms	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3))
6.0ms	(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)
3.0ms	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)

rewrite48.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

271×	`prod-diff_binary32`
240×	`expm1-udef_binary32`
239×	`log1p-udef_binary32`
139×	`add-sqr-sqrt_binary32`
134×	`log1p-expm1-u_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	40
1	297	40
2	3492	40

Stop Event

1×	node limit

Counts

3 → 54

Calls

3 calls:

47.0ms	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3))
47.0ms	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
47.0ms	(pow.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) 3)

simplify33.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

532×	`associate-/l*_binary32`
338×	`fma-def_binary32`
337×	`associate-/r*_binary32`
315×	`associate-r_binary32`
275×	`associate-l_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	113	1310
1	321	1251
2	1207	1057

Stop Event

1×	node limit

Counts

90 → 93

prune192.0ms (2.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	110	12	122

Error

0.1b

Counts

122 → 12

Alt Table

Status	Error	Program
	0.3b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (cos.f32 (expm1.f32 (log1p.f32 (.f32 314159265359/50000000000 u2)))) 3)))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 1))
	7.8b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.8b	(cbrt.f32 (pow.f32 (pow.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) 3) 1/3))
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2)) 2)))
	1.1b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.4b	(-.f32 (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (.f32 98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2)))
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
	1.2b	(cbrt.f32 (pow.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3/2)) 2))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 314159265359/50000000000 u2)))) (cos.f32 1)) (.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 1))))
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))) (cos.f32 (*.f32 314159265359/50000000000 u2)))

Compiler

Compiled 2968 to 2457 computations (17.2% saved)

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2)) 2)))
	0.2b	(/.f32 u1 (-.f32 1 u1))
	0.3b	(*.f32 314159265359/50000000000 u2)
✓	0.6b	(pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)

series64.0ms (1%)

Counts

2 → 9

Calls

2 calls:

54.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2)) 2)))
10.0ms	(pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)

rewrite44.0ms (0.7%)

Algorithm

1×	batch-egg-rewrite

Rules

474×	`prod-diff_binary32`
221×	`expm1-udef_binary32`
220×	`log1p-udef_binary32`
131×	`fma-def_binary32`
127×	`add-sqr-sqrt_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	14	21
1	293	21
2	3255	21

Stop Event

1×	node limit

Counts

2 → 44

Calls

2 calls:

43.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2)) 2)))
43.0ms	(pow.f32 (sqrt.f32 (*.f32 314159265359/50000000000 u2)) 2)

simplify28.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

220×	`distribute-neg-in_binary32`
218×	`associate-/r*_binary32`
214×	`distribute-neg-frac_binary32`
190×	`unswap-sqr_binary32`
167×	`distribute-rgt-in_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	54	653
1	155	509
2	522	407
3	2623	341

Stop Event

1×	node limit

Counts

53 → 53

prune213.0ms (3.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	124	2	126
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	127	11	138

Error

0.1b

Counts

138 → 11

Alt Table

Status	Error	Program
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 1))
	7.8b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.1b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2)) 2)))
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
▶	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	1.4b	(-.f32 (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (.f32 98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2)))
	1.2b	(cbrt.f32 (pow.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3/2)) 2))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 314159265359/50000000000 u2)))) (cos.f32 1)) (.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 1))))
	2.8b	(cbrt.f32 (pow.f32 (pow.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) 3) 1/3))

Compiler

Compiled 2910 to 2304 computations (20.8% saved)

localize37.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
✓	0.1b	(sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.5b	(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))

series24.0ms (0.4%)

Counts

3 → 44

Calls

3 calls:

20.0ms

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

2.0ms

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

1.0ms

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

rewrite51.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	38
1	272	28
2	3329	28

Stop Event

1×	node limit

Counts

3 → 60

Calls

3 calls:

50.0ms

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

50.0ms

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

50.0ms

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

simplify41.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

426×	`fma-neg_binary32`
281×	`distribute-neg-frac_binary32`
225×	`fma-def_binary32`
223×	`distribute-neg-in_binary32`
218×	`associate-/r*_binary32`

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	82	920
1	235	895
2	737	775
3	3405	773

Stop Event

1×	node limit

Counts

104 → 87

prune209.0ms (3.1%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	144	11	155

Error

0.1b

Counts

155 → 11

Alt Table

Status	Error	Program
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) 1))
	7.8b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	1.1b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (cos.f32 (pow.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2)) 2)))
	1.5b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (cos.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	1.2b	(cbrt.f32 (pow.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/4) (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3/2)) 2))
	1.4b	(-.f32 (+.f32 (.f32 9740909103402808085817682884085781839780052161/150000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 4) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (+.f32 (.f32 98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 961389193575684075633145058384385882649239799132134631991269883031841/11250000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 6) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) 2)))
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) 3)
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (+.f32 (.f32 (cos.f32 (exp.f32 (log1p.f32 (.f32 314159265359/50000000000 u2)))) (cos.f32 1)) (.f32 (sin.f32 (exp.f32 (log1p.f32 (*.f32 314159265359/50000000000 u2)))) (sin.f32 1))))
	2.8b	(cbrt.f32 (pow.f32 (pow.f32 (.f32 (pow.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) 3) (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)) 3) 1/3))

Compiler

Compiled 3013 to 2249 computations (25.4% saved)

regimes2.9s (42.6%)

Accuracy

Total 0.2b remaining (73.7%)

Threshold costs 0.2b (73.7%)

Counts

247 → 1

Compiler

Compiled 50746 to 41294 computations (18.6% 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	16	28
1	22	28
2	26	28
3	28	28
4	29	28

Stop Event

1×

saturated

end182.0ms (2.7%)

Compiler: Compiled 289 to 238 computations (17.6% saved)

Details

analyze358.0ms (5.3%)

sample1.8s (27.2%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize28.0ms (0.4%)

series25.0ms (0.4%)

rewrite51.0ms (0.8%)

simplify45.0ms (0.7%)

prune209.0ms (3.1%)

localize40.0ms (0.6%)

series62.0ms (0.9%)

rewrite48.0ms (0.7%)

simplify33.0ms (0.5%)

prune192.0ms (2.9%)

localize36.0ms (0.5%)

series64.0ms (1%)

rewrite44.0ms (0.7%)

simplify28.0ms (0.4%)

prune213.0ms (3.2%)

localize37.0ms (0.5%)

series24.0ms (0.4%)

rewrite51.0ms (0.8%)

simplify41.0ms (0.6%)

prune209.0ms (3.1%)

regimes2.9s (42.6%)

simplify2.0ms (0%)

end182.0ms (2.7%)

Profiling