Details

analyze387.0ms (6.4%)

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)

sample2.0s (33.1%)

Results

2.0s	8256×	body	128	valid
2.0ms	7×	body	128	invalid

Compiler

Compiled 88 to 67 computations (23.9% saved)

simplify16.0ms (0.3%)

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

0.6b

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)

localize30.0ms (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))
✓	0.3b	(*.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:

27.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	(/.f32 u1 (-.f32 1 u1))
2.0ms	(*.f32 314159265359/50000000000 u2)
2.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))

rewrite57.0ms (0.9%)

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	2843	34

Stop Event

1×	node limit

Counts

4 → 101

Calls

4 calls:

54.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
54.0ms	(/.f32 u1 (-.f32 1 u1))
54.0ms	(*.f32 314159265359/50000000000 u2)
54.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))

simplify44.0ms (0.7%)

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

prune161.0ms (2.7%)

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
	2.0b	(-.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)))
	0.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (pow.f32 (sqrt.f32 (.f32 314159265359/50000000000 u2)) 2)))
	13.0b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) 1))
	1.0b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2)) 3)))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))
	13.9b	(.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)))))))
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 (cbrt.f32 (.f32 u1 u1)) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
▶	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	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)
	2.6b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 3055 to 2366 computations (22.6% saved)

localize36.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

series27.0ms (0.4%)

Counts

3 → 44

Calls

3 calls:

21.0ms

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

3.0ms

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

2.0ms

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

rewrite49.0ms (0.8%)

Algorithm

1×	batch-egg-rewrite

Rules

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

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	13	40
1	272	30
2	3326	30

Stop Event

1×	node limit

Counts

3 → 50

Calls

3 calls:

48.0ms

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

48.0ms

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

48.0ms

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

simplify43.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

687×	`fma-neg_binary32`
334×	`fma-def_binary32`
258×	`sub-neg_binary32`
217×	`associate-/r*_binary32`
202×	`unswap-sqr_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	1012
1	257	956
2	839	844
3	3871	844

Stop Event

1×	node limit

Counts

94 → 81

prune139.0ms (2.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	135	3	138
Fresh	3	9	12
Picked	1	0	1
Done	0	0	0
Total	139	12	151

Error

0.0b

Counts

151 → 12

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))
	13.9b	(.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)))))))
	1.3b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 2)
	0.6b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (/.f32 1 (-.f32 1 u1))))) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 (cbrt.f32 (.f32 u1 u1)) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	2.0b	(-.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)))))))
	13.0b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) 1))
	1.1b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
	2.6b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (sqrt.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000)))))
	1.0b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) 2) 3))))

Compiler

Compiled 3151 to 2363 computations (25% saved)

localize39.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sin.f32 (sqrt.f32 (sqrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000))))
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.4b	(*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000)
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (sqrt.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000)))))

series26.0ms (0.4%)

Counts

3 → 44

Calls

3 calls:

20.0ms

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (sqrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000)))))

4.0ms

(*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000)

2.0ms

(sin.f32 (sqrt.f32 (sqrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000))))

rewrite55.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

250×	`prod-diff_binary32`
249×	`expm1-udef_binary32`
248×	`log1p-udef_binary32`
139×	`add-sqr-sqrt_binary32`
138×	`log1p-expm1-u_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	44
1	315	30
2	3688	30

Stop Event

1×	node limit

Counts

3 → 49

Calls

3 calls:

54.0ms

(sin.f32 (sqrt.f32 (sqrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000))))

54.0ms

(*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000)

54.0ms

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (sqrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000)))))

simplify44.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

668×	`fma-neg_binary32`
327×	`fma-def_binary32`
258×	`sub-neg_binary32`
217×	`associate-/r*_binary32`
200×	`unswap-sqr_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	89	1012
1	258	956
2	842	844
3	3819	844

Stop Event

1×	node limit

Counts

93 → 79

prune138.0ms (2.3%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	135	1	136
Fresh	1	10	11
Picked	1	0	1
Done	0	0	0
Total	137	11	148

Error

0.0b

Counts

148 → 11

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))
	13.9b	(.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)))))))
	1.3b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 2)
	0.6b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (/.f32 1 (-.f32 1 u1))))) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	2.0b	(-.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)))))))
	13.0b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) 1))
	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)
▶	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 (cbrt.f32 (.f32 u1 u1)) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (sqrt.f32 (sqrt.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000)))))
	2.6b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))))
	1.0b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) 2) 3))))

Compiler

Compiled 3157 to 2504 computations (20.7% saved)

localize70.0ms (1.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (/.f32 (cbrt.f32 (.f32 u1 u1)) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))
	0.4b	(*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000)
✓	0.4b	(pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)
✓	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 (cbrt.f32 (.f32 u1 u1)) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (sqrt.f32 (sqrt.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000)))))

series41.0ms (0.7%)

Counts

3 → 36

Calls

3 calls:

29.0ms

(*.f32 (sqrt.f32 (*.f32 (/.f32 (cbrt.f32 (*.f32 u1 u1)) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (sqrt.f32 (sqrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000)))))

6.0ms

(pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)

5.0ms

(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 u1)) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))

rewrite36.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

208×	`add-sqr-sqrt_binary32`
203×	`add-cbrt-cube_binary32`
203×	`log1p-expm1-u_binary32`
203×	`expm1-log1p-u_binary32`
201×	`add-cube-cbrt_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	82
1	476	33

Stop Event

1×	node limit

Counts

3 → 70

Calls

3 calls:

35.0ms

(*.f32 (/.f32 (cbrt.f32 (*.f32 u1 u1)) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))

35.0ms

(pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)

35.0ms

(*.f32 (sqrt.f32 (*.f32 (/.f32 (cbrt.f32 (*.f32 u1 u1)) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (sqrt.f32 (sqrt.f32 (*.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000)))))

simplify30.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

494×	`fma-def_binary32`
267×	`associate-/r*_binary32`
213×	`associate-+l+_binary32`
210×	`associate-r_binary32`
205×	`associate-l_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	132	945
1	378	891
2	1258	794

Stop Event

1×	node limit

Counts

106 → 124

prune138.0ms (2.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	139	0	139
Fresh	0	10	10
Picked	0	1	1
Done	0	0	0
Total	139	11	150

Error

0.0b

Counts

150 → 11

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))
	13.9b	(.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)))))))
	1.3b	(pow.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 2)
	0.6b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 u1) (/.f32 1 (-.f32 1 u1))))) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	2.0b	(-.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)))))))
	13.0b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (exp.f32 (log1p.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) 1))
	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)
✓	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 (cbrt.f32 (.f32 u1 u1)) (pow.f32 (cbrt.f32 (-.f32 1 u1)) 2)) (cbrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (sqrt.f32 (sqrt.f32 (.f32 (pow.f32 u2 4) 9740909103402808085817682884085781839780052161/6250000000000000000000000000000000000000000)))))
	2.6b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))))
	1.0b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (pow.f32 (pow.f32 (cbrt.f32 (.f32 u2 314159265359/50000000000)) 2) 3))))

Compiler

Compiled 3596 to 2814 computations (21.7% saved)

regimes2.2s (36%)

Accuracy

Total 0.4b remaining (82.3%)

Threshold costs 0.4b (82.3%)

Counts

201 → 1

Compiler

Compiled 36634 to 29501 computations (19.5% saved)

simplify3.0ms (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	28
1	23	28
2	27	28
3	29	28
4	30	28

Stop Event

1×

saturated

end216.0ms (3.6%)

Compiler: Compiled 291 to 236 computations (18.9% saved)

Details

analyze387.0ms (6.4%)

sample2.0s (33.1%)

simplify16.0ms (0.3%)

prune2.0ms (0%)

localize30.0ms (0.5%)

series32.0ms (0.5%)

rewrite57.0ms (0.9%)

simplify44.0ms (0.7%)

prune161.0ms (2.7%)

localize36.0ms (0.6%)

series27.0ms (0.4%)

rewrite49.0ms (0.8%)

simplify43.0ms (0.7%)

prune139.0ms (2.3%)

localize39.0ms (0.6%)

series26.0ms (0.4%)

rewrite55.0ms (0.9%)

simplify44.0ms (0.7%)

prune138.0ms (2.3%)

localize70.0ms (1.2%)

series41.0ms (0.7%)

rewrite36.0ms (0.6%)

simplify30.0ms (0.5%)

prune138.0ms (2.3%)

regimes2.2s (36%)

simplify3.0ms (0%)

end216.0ms (3.6%)

Profiling