Details

analyze391.0ms (7%)

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 (36.2%)

Results

2.0s	8256×	body	128	valid
3.0ms	5×	body	128	invalid

Compiler

Compiled 74 to 56 computations (24.3% saved)

preprocess24.0ms (0.4%)

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 (0.2%)

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)

localize29.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(sin.f32 (*.f32 314159265359/50000000000 u2))
✓	0.3b	(*.f32 314159265359/50000000000 u2)
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))

series28.0ms (0.5%)

Counts

4 → 28

Calls

15 calls:

6.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))	u1	0
5.0ms	(.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)))	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

rewrite55.0ms (1%)

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

simplify52.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

708×	`fma-neg_binary32`
394×	`fma-def_binary32`
227×	`associate-/r*_binary32`
191×	`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	4371	704

Stop Event

1×	node limit

Counts

129 → 137

prune150.0ms (2.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	126	11	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	127	11	138

Error

0.1b

Counts

138 → 11

Alt Table

Status	Error	Program
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	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)))
	14.7b	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (log.f32 (pow.f32 (exp.f32 u2) 314159265359/50000000000))))
	0.6b	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	1.7b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
	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)))))))
	0.9b	(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 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	0.6b	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
	13.4b	(.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)))))))
	13.8b	(.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)))))))

Compiler

Compiled 2995 to 2321 computations (22.5% saved)

localize36.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

series26.0ms (0.5%)

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

rewrite52.0ms (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	40
1	272	30
2	3328	30

Stop Event

1×	node limit

Counts

3 → 50

simplify48.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

687×	`fma-neg_binary32`
332×	`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	3872	844

Stop Event

1×	node limit

Counts

94 → 84

prune153.0ms (2.8%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	135	6	141
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	140	12	152

Error

0.1b

Counts

152 → 12

Alt Table

Status	Error	Program
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 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)))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	1.5b	(.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))))
	1.7b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
	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)))))))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (pow.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 1))))
	0.5b	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	13.8b	(.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)))))))
	0.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 3))))

Compiler

Compiled 3187 to 2388 computations (25.1% saved)

localize42.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

series27.0ms (0.5%)

Counts

4 → 56

Calls

15 calls:

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

rewrite56.0ms (1%)

Algorithm

1×	batch-egg-rewrite

Rules

294×	`prod-diff_binary32`
226×	`expm1-udef_binary32`
225×	`log1p-udef_binary32`
204×	`log-pow_binary32`
132×	`fma-def_binary32`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	14	44
1	282	34
2	3355	34

Stop Event

1×	node limit

Counts

4 → 64

simplify48.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

687×	`fma-neg_binary32`
325×	`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	89	1060
1	259	1004
2	839	892
3	3861	892

Stop Event

1×	node limit

Counts

120 → 97

prune91.0ms (1.6%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	97	12	109

Error

0.1b

Counts

109 → 12

Alt Table

Status	Error	Program
	0.9b	(pow.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) 3)
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 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)))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	1.5b	(.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))))
	1.7b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
	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)))))))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (pow.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 1))))
▶	0.5b	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	13.8b	(.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)))))))
	0.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 3))))

Compiler

Compiled 2339 to 1848 computations (21% saved)

localize42.0ms (0.8%)

Local error

Found 4 expressions with local error:

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

series23.0ms (0.4%)

Counts

2 → 32

Calls

9 calls:

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

rewrite59.0ms (1.1%)

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	33
1	313	24
2	3783	24

Stop Event

1×	node limit

Counts

2 → 64

simplify45.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

601×	`fma-neg_binary32`
345×	`fma-def_binary32`
276×	`sub-neg_binary32`
228×	`associate-/r*_binary32`
176×	`associate-r_binary32`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	94	966
1	275	904
2	934	786
3	4088	786

Stop Event

1×	node limit

Counts

96 → 97

prune135.0ms (2.4%)

Pruning

12 alts after pruning (10 fresh and 2 done)

	Pruned	Kept	Total
New	143	1	144
Fresh	1	9	10
Picked	0	1	1
Done	0	1	1
Total	144	12	156

Error

0.1b

Counts

156 → 12

Alt Table

Status	Error	Program
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 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)))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (-.f32 (log.f32 u1) (log1p.f32 (neg.f32 u1))))) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 (sqrt.f32 u1) 1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (sqrt.f32 (.f32 (.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	1.5b	(.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))))
	1.7b	(sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 u1)) (pow.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) 2)))
	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)))))))
	0.9b	(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 (pow.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000)) 1))))
✓	0.5b	(.f32 (sqrt.f32 (pow.f32 (/.f32 (-.f32 1 u1) u1) -1)) (sin.f32 (sqrt.f32 (.f32 (*.f32 u2 u2) 98696044010906577398881/2500000000000000000000))))
	13.8b	(.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)))))))
	0.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (sqrt.f32 (pow.f32 (cbrt.f32 (.f32 u2 (*.f32 u2 98696044010906577398881/2500000000000000000000))) 3))))

Compiler

Compiled 3105 to 2345 computations (24.5% saved)

regimes1.8s (31.5%)

Accuracy

Total 0.4b remaining (86.8%)

Threshold costs 0.4b (86.8%)

Counts

174 → 1

Compiler

Compiled 29746 to 23925 computations (19.6% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-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	14	22
1	22	22
2	26	22
3	28	22
4	29	22

Stop Event

1×

saturated

end175.0ms (3.1%)

Stop Event

1×

fuel

Compiler

Compiled 303 to 240 computations (20.8% 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

analyze391.0ms (7%)

sample2.0s (36.2%)

preprocess24.0ms (0.4%)

simplify8.0ms (0.2%)

prune2.0ms (0%)

localize29.0ms (0.5%)

series28.0ms (0.5%)

rewrite55.0ms (1%)

simplify52.0ms (0.9%)

prune150.0ms (2.7%)

localize36.0ms (0.6%)

series26.0ms (0.5%)

rewrite52.0ms (0.9%)

simplify48.0ms (0.9%)

prune153.0ms (2.8%)

localize42.0ms (0.8%)

series27.0ms (0.5%)

rewrite56.0ms (1%)

simplify48.0ms (0.9%)

prune91.0ms (1.6%)

localize42.0ms (0.8%)

series23.0ms (0.4%)

rewrite59.0ms (1.1%)

simplify45.0ms (0.8%)

prune135.0ms (2.4%)

regimes1.8s (31.5%)

simplify2.0ms (0%)

end175.0ms (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