Details

analyze373.0ms (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 (31.7%)

Results

1.9s	8256×	body	128	valid
1.0ms	5×	body	128	invalid

Compiler

Compiled 74 to 56 computations (24.3% saved)

preprocess21.0ms (0.3%)

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

Compiler

Compiled 14 to 11 computations (21.4% 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

0.5b

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 (0.4%)

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 314159265359/50000000000 u2)
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))

series25.0ms (0.4%)

Counts

4 → 28

Calls

15 calls:

4.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))	u1	0
4.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))	u1	inf
3.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))	u1	-inf
3.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))	u2	-inf
3.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))	u2	inf

rewrite54.0ms (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

simplify48.0ms (0.8%)

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

prune169.0ms (2.8%)

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
	0.8b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
	0.5b	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
	3.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (.f32 (pow.f32 u2 3) -31006276680305942139213528068663279/750000000000000000000000000000000)))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	13.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.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))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	0.6b	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (pow.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2)) 3)))
	3.1b	(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))) (.f32 1 (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)))
	1.7b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
	2.2b	(-.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)))))))

Compiler

Compiled 3045 to 2358 computations (22.6% saved)

localize35.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(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))))

series24.0ms (0.4%)

Counts

3 → 44

Calls

12 calls:

5.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))	u1	0
4.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))	u1	inf
3.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))	u1	-inf
3.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))	u2	-inf
3.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))	u2	inf

rewrite53.0ms (0.9%)

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	38
1	272	28
2	3326	28

Stop Event

1×	node limit

Counts

3 → 60

simplify44.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

573×	`fma-neg_binary32`
278×	`fma-def_binary32`
229×	`sub-neg_binary32`
217×	`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	3567	790

Stop Event

1×	node limit

Counts

104 → 83

prune139.0ms (2.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	135	5	140
Fresh	5	7	12
Picked	1	0	1
Done	0	0	0
Total	141	12	153

Error

0.0b

Counts

153 → 12

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))))
	1.7b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
	0.8b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
	3.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (fma.f32 314159265359/50000000000 u2 (.f32 (pow.f32 u2 3) -31006276680305942139213528068663279/750000000000000000000000000000000)))
	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 u1 1))) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	1.4b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
▶	0.5b	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	3.1b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))))
	14.9b	(.f32 (sqrt.f32 (+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	0.5b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)))
	2.2b	(-.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)))))))

Compiler

Compiled 3155 to 2358 computations (25.3% saved)

localize40.0ms (0.7%)

Local error

Found 4 expressions with local error:

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

series25.0ms (0.4%)

Counts

3 → 44

Calls

12 calls:

4.0ms	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))	u1	0
4.0ms	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))	u2	-inf
3.0ms	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))	u1	-inf
3.0ms	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))	u1	inf
3.0ms	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))	u2	inf

rewrite56.0ms (0.9%)

Algorithm

1×	batch-egg-rewrite

Rules

390×	`prod-diff_binary32`
248×	`expm1-udef_binary32`
247×	`log1p-udef_binary32`
143×	`add-sqr-sqrt_binary32`
138×	`log1p-expm1-u_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	15	40
1	313	31
2	3783	31

Stop Event

1×	node limit

Counts

3 → 99

simplify53.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

601×	`fma-neg_binary32`
347×	`fma-def_binary32`
279×	`sub-neg_binary32`
228×	`associate-/r*_binary32`
175×	`associate-r_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	95	1035
1	277	973
2	937	855
3	4091	855

Stop Event

1×	node limit

Counts

143 → 135

prune169.0ms (2.8%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	149	2	151
Fresh	2	9	11
Picked	1	0	1
Done	0	0	0
Total	152	11	163

Error

0.0b

Counts

163 → 11

Alt Table

Status	Error	Program
▶	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))) (sin.f32 (sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	0.5b	(.f32 (sqrt.f32 (.f32 (pow.f32 (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)) -1) (pow.f32 (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)) -1))) (sin.f32 (sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 u2 (pow.f32 98696044010906577398881/2500000000000000000000 1/2))))
	1.7b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
	0.8b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
	1.4b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	3.1b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))))
	14.9b	(.f32 (sqrt.f32 (+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	0.5b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)))
	2.2b	(-.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)))))))

Compiler

Compiled 3599 to 2701 computations (25% saved)

localize55.0ms (0.9%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.1b	(sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))
✓	0.3b	(*.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))
	0.4b	(.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000)
✓	0.4b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))) (sin.f32 (sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))

series55.0ms (0.9%)

Counts

2 → 32

Calls

9 calls:

17.0ms	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))) (sin.f32 (sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))	u2	inf
16.0ms	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))) (sin.f32 (sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))	u2	-inf
7.0ms	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))) (sin.f32 (sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))	u2	0
5.0ms	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))) (sin.f32 (sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))	u1	0
4.0ms	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))) (sin.f32 (sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))	u1	inf

rewrite35.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

182×	`add-sqr-sqrt_binary32`
176×	`log1p-expm1-u_binary32`
176×	`expm1-log1p-u_binary32`
175×	`add-cbrt-cube_binary32`
172×	`add-log-exp_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	18	55
1	392	50

Stop Event

1×	node limit

Counts

2 → 67

simplify49.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

610×	`fma-neg_binary32`
363×	`fma-def_binary32`
281×	`sub-neg_binary32`
229×	`associate-/r*_binary32`
178×	`associate-r_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	96	1236
1	283	1084
2	976	918
3	4202	918

Stop Event

1×	node limit

Counts

99 → 100

prune161.0ms (2.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	146	1	147
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	147	11	158

Error

0.0b

Counts

158 → 11

Alt Table

Status	Error	Program
✓	0.5b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))) (sin.f32 (sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	0.5b	(.f32 (sqrt.f32 (.f32 (pow.f32 (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)) -1) (pow.f32 (sqrt.f32 (+.f32 (pow.f32 u1 -1) -1)) -1))) (sin.f32 (sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 (pow.f32 98696044010906577398881/2500000000000000000000 1/2) u2)))
	1.7b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
	0.8b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
	1.4b	(.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3) 1/3)) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (pow.f32 u1 3))) (+.f32 1 (fma.f32 u1 u1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	3.1b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))))
	14.9b	(.f32 (sqrt.f32 (+.f32 (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (log.f32 (sqrt.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))))) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	0.5b	(cbrt.f32 (.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3/2) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 3)))
	2.2b	(-.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)))))))

Compiler

Compiled 4370 to 2965 computations (32.2% saved)

regimes2.2s (36.6%)

Accuracy

Total 0.4b remaining (87.6%)

Threshold costs 0.4b (87.6%)

Counts

203 → 1

Compiler

Compiled 39726 to 31817 computations (19.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary32`
3×	`+-commutative_binary32`
2×	`sub-neg_binary32`
1×	`/-rgt-identity_binary32`
1×	`neg-sub0_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	35
1	28	35
2	32	35
3	34	35
4	35	35

Stop Event

1×

saturated

end187.0ms (3.1%)

Stop Event

1×

fuel

Compiler

Compiled 324 to 251 computations (22.5% 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

analyze373.0ms (6.2%)

sample1.9s (31.7%)

preprocess21.0ms (0.3%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize27.0ms (0.4%)

series25.0ms (0.4%)

rewrite54.0ms (0.9%)

simplify48.0ms (0.8%)

prune169.0ms (2.8%)

localize35.0ms (0.6%)

series24.0ms (0.4%)

rewrite53.0ms (0.9%)

simplify44.0ms (0.7%)

prune139.0ms (2.3%)

localize40.0ms (0.7%)

series25.0ms (0.4%)

rewrite56.0ms (0.9%)

simplify53.0ms (0.9%)

prune169.0ms (2.8%)

localize55.0ms (0.9%)

series55.0ms (0.9%)

rewrite35.0ms (0.6%)

simplify49.0ms (0.8%)

prune161.0ms (2.7%)

regimes2.2s (36.6%)

simplify3.0ms (0%)

end187.0ms (3.1%)

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