Details

analyze421.0ms (4.8%)

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)

sample2.1s (24.3%)

Results

2.1s	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`

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

0.5b

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)

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series33.0ms (0.4%)

Counts

4 → 24

Calls

4 calls:

23.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
6.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
2.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
1.0ms	(*.f32 314159265359/50000000000 u2)

rewrite100.0ms (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 → 96

Calls

4 calls:

98.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
98.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
98.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
98.0ms	(*.f32 314159265359/50000000000 u2)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	227	36
2	2724	36
3	5085	36
0	0	0
1	0	0

simplify75.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

790×	`fma-neg_binary32`
418×	`fma-def_binary32`
400×	`associate-/r*_binary32`
229×	`associate-+l+_binary32`
202×	`associate--r+_binary32`

Counts

120 → 123

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	102	1054
1	319	986
2	1052	868
3	4253	868
4	4979	868
5	4943	868

prune138.0ms (1.6%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	112	11	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	113	11	124

Error

0.0b

Counts

124 → 11

Alt Table

Status	Error	Program
	2.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2))
	0.5b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)))
	14.6b	(.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	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 3))
	0.6b	(.f32 (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (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)
	2.4b	(-.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)))))))
	7.8b	(.f32 (+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	3.7b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))))
	0.6b	(.f32 (expm1.f32 (log1p.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 2857 to 2270 computations (20.5% saved)

localize38.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
✓	0.2b	(sin.f32 (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))

series28.0ms (0.3%)

Counts

4 → 56

Calls

4 calls:

22.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
2.0ms	(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))
2.0ms	(sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))))
1.0ms	(sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))

rewrite94.0ms (1.1%)

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

4 → 83

Calls

4 calls:

93.0ms	(sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2)))
93.0ms	(sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))))
93.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))))
92.0ms	(.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	13	49
1	269	34
2	3126	34
3	4917	34
4	5099	34
0	0	0
1	0	0

simplify76.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

749×	`fma-neg_binary32`
338×	`fma-def_binary32`
257×	`sub-neg_binary32`
224×	`distribute-neg-in_binary32`
218×	`associate-/r*_binary32`

Counts

139 → 114

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	1060
1	254	1004
2	794	892
3	3121	892
4	4861	892
5	4988	892

prune129.0ms (1.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	112	2	114
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	115	10	125

Error

0.0b

Counts

125 → 10

Alt Table

Status	Error	Program
▶	0.5b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 3))
	0.6b	(.f32 (.f32 (cbrt.f32 (/.f32 u1 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))))
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
	2.4b	(-.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)))))))
	7.8b	(.f32 (+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	14.6b	(.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)))))))
	3.7b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (cbrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))) (cbrt.f32 (*.f32 u2 314159265359/50000000000)))))

Compiler

Compiled 2489 to 1941 computations (22% saved)

localize44.0ms (0.5%)

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)
✓	0.7b	(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3)

series71.0ms (0.8%)

Counts

3 → 36

Calls

3 calls:

59.0ms	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))
8.0ms	(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 3)
4.0ms	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)

rewrite88.0ms (1%)

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 → 57

Calls

3 calls:

87.0ms	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2)
87.0ms	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))
87.0ms	(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

simplify79.0ms (0.9%)

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

93 → 96

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

prune147.0ms (1.7%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	113	9	122

Error

0.0b

Counts

122 → 9

Alt Table

Status	Error	Program
	2.4b	(-.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)))))))
	3.0b	(cbrt.f32 (.f32 (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))) (fma.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 (pow.f32 u2 9) -1222173072672018605869876866523723537468811217154985888808286930155378349843421319946643271006387243132199/5906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000))))))
	22.6b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (log.f32 (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))))))
	7.8b	(.f32 (+.f32 (log.f32 (.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (log.f32 (cbrt.f32 (exp.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 3))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))))
	14.6b	(.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)))))))
	3.7b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))))
▶	0.6b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2) (.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))))

Compiler

Compiled 3048 to 2529 computations (17% saved)

localize66.0ms (0.7%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.4b	(.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2) (.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2))))
	0.4b	(*.f32 314159265359/50000000000 u2)
✓	0.5b	(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)
✓	0.5b	(pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2)

series209.0ms (2.4%)

Counts

3 → 36

Calls

3 calls:

147.0ms

(pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2)

58.0ms

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

4.0ms

(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)

rewrite75.0ms (0.8%)

Algorithm

2×	batch-egg-rewrite

Rules

288×	`log1p-udef_binary32`
271×	`prod-diff_binary32`
170×	`add-sqr-sqrt_binary32`
170×	`log1p-expm1-u_binary32`
170×	`expm1-log1p-u_binary32`

Counts

3 → 58

Calls

3 calls:

73.0ms

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

73.0ms

(pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)

73.0ms

(pow.f32 (cbrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2))) 2)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	49
1	377	41
2	4012	41
3	4856	41
0	0	0
1	0	0

simplify52.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

535×	`associate-/l*_binary32`
490×	`associate-l_binary32`
428×	`fma-def_binary32`
321×	`associate-/r*_binary32`
220×	`cancel-sign-sub-inv_binary32`

Counts

94 → 91

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	121	1432
1	359	1311
2	1335	1095
3	5001	1095

prune194.0ms (2.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	135	4	139
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	139	9	148

Error

0.0b

Counts

148 → 9

Alt Table

Status	Error	Program
	0.8b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2) (.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (.f32 (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 4) (cbrt.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 4))) (pow.f32 (cbrt.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) 2))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))))
	2.4b	(-.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)))))))
	3.0b	(cbrt.f32 (.f32 (sqrt.f32 (/.f32 (pow.f32 u1 3) (pow.f32 (-.f32 1 u1) 3))) (fma.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3) (fma.f32 3926381196111638570368189976325357820282927479677289842826169154812205366148846947/93750000000000000000000000000000000000000000000000000000000000000000000000000 (pow.f32 u2 7) (fma.f32 (pow.f32 u2 9) -1222173072672018605869876866523723537468811217154985888808286930155378349843421319946643271006387243132199/5906250000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000 (.f32 (pow.f32 u2 5) -3060196847853821555298148281676017575122444629042460390799/625000000000000000000000000000000000000000000000000000))))))
	22.6b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (log.f32 (+.f32 1 (expm1.f32 (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3))))))
	14.6b	(.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)))))))
	0.8b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2) (.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (sin.f32 (pow.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2)) 3)) 2)))))
	0.5b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (.f32 u2 u2))))) 2) (.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) 2)))))
	0.4b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (.f32 (pow.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) 2) (.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (pow.f32 (sin.f32 (sqrt.f32 (.f32 98696044010906577398881/2500000000000000000000 (*.f32 u2 u2)))) 2)))))

Compiler

Compiled 4990 to 4160 computations (16.6% saved)

regimes4.2s (48%)

Accuracy

Total 0.4b remaining (87.7%)

Threshold costs 0.4b (87.7%)

Counts

256 → 1

Compiler

Compiled 55690 to 46337 computations (16.8% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-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	24	51
1	33	51
2	37	51
3	39	51
4	40	51
5	39	51

end241.0ms (2.7%)

Compiler: Compiled 383 to 318 computations (17% 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

analyze421.0ms (4.8%)

sample2.1s (24.3%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize36.0ms (0.4%)

series33.0ms (0.4%)

rewrite100.0ms (1.1%)

simplify75.0ms (0.8%)

prune138.0ms (1.6%)

localize38.0ms (0.4%)

series28.0ms (0.3%)

rewrite94.0ms (1.1%)

simplify76.0ms (0.9%)

prune129.0ms (1.5%)

localize44.0ms (0.5%)

series71.0ms (0.8%)

rewrite88.0ms (1%)

simplify79.0ms (0.9%)

prune147.0ms (1.7%)

localize66.0ms (0.7%)

series209.0ms (2.4%)

rewrite75.0ms (0.8%)

simplify52.0ms (0.6%)

prune194.0ms (2.2%)

regimes4.2s (48%)

simplify3.0ms (0%)

end241.0ms (2.7%)

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