Details

analyze440.0ms (1.1%)

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)

sample68.0ms (0.2%)

Algorithm

1×

intervals

Results

33.0ms	256×	body	128	valid
10.0ms	256×	pre	128	true

Compiler

Compiled 54 to 42 computations (22.2% saved)

simplify11.0ms (0%)

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

prune3.0ms (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)

localize34.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
✓	0.1b	(/.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)))

series44.0ms (0.1%)

Counts

4 → 32

Calls

4 calls:

29.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
10.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
3.0ms	(/.f32 u1 (-.f32 1 u1))
2.0ms	(*.f32 314159265359/50000000000 u2)

rewrite33.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`add-sqr-sqrt_binary32`
69×	`*-un-lft-identity_binary32`
56×	`times-frac_binary32`
50×	`sqrt-prod_binary32`
39×	`add-cube-cbrt_binary32`

Counts

4 → 148

Calls

4 calls:

10.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
5.0ms	(/.f32 u1 (-.f32 1 u1))
4.0ms	(sqrt.f32 (/.f32 u1 (-.f32 1 u1)))
3.0ms	(*.f32 314159265359/50000000000 u2)

simplify122.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

595×	`associate-/r*_binary32`
533×	`fma-def_binary32`
401×	`times-frac_binary32`
260×	`associate-/l*_binary32`
231×	`fma-neg_binary32`

Counts

180 → 222

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	286	3573
1	636	3380
2	1887	3262
3	4911	3262
4	4959	3262

prune272.0ms (0.7%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	211	11	222
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	212	11	223

Error

0.0b

Counts

223 → 11

Alt Table

Status	Error	Program
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1))) (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (.f32 314159265359/50000000000 u2)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (pow.f32 1 3) (pow.f32 u1 3)))) (.f32 (sqrt.f32 (+.f32 (.f32 1 1) (+.f32 (.f32 u1 u1) (.f32 1 u1)))) (sin.f32 (.f32 314159265359/50000000000 u2))))
	3.3b	(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 3) (+.f32 (pow.f32 u1 2) u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	1.6b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))))
	1.7b	(.f32 (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (sqrt.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)))))
	1.6b	(-.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 5114 to 3745 computations (26.8% saved)

localize38.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series53.0ms (0.1%)

Counts

2 → 32

Calls

2 calls:

44.0ms

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

9.0ms

(*.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))

rewrite24.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`associate-l_binary32`
32×	`add-sqr-sqrt_binary32`
29×	`sqrt-prod_binary32`
25×	`*-un-lft-identity_binary32`
19×	`times-frac_binary32`

Counts

2 → 70

Calls

2 calls:

12.0ms

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

6.0ms

(*.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))

simplify93.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

493×	`fma-neg_binary32`
367×	`*-commutative_binary32`
334×	`fma-def_binary32`
299×	`associate-/r*_binary32`
259×	`unswap-sqr_binary32`

Counts

102 → 130

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	203	2099
1	462	1958
2	1379	1848
3	3597	1840
4	4911	1840

prune321.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	237	5	242
Fresh	5	5	10
Picked	1	0	1
Done	0	0	0
Total	243	10	253

Error

0.0b

Counts

253 → 10

Alt Table

Status	Error	Program
	0.5b	(.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (/.f32 1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))))
	3.3b	(.f32 (sqrt.f32 (+.f32 (pow.f32 u1 3) (+.f32 (pow.f32 u1 2) u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	1.5b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))) (sqrt.f32 (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))
	1.6b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))))
	0.7b	(.f32 (.f32 (sqrt.f32 (.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 u1))) (sqrt.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 (sqrt.f32 314159265359/50000000000)) (.f32 (sqrt.f32 (sqrt.f32 314159265359/50000000000)) (.f32 (sqrt.f32 314159265359/50000000000) u2)))))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))
	1.6b	(-.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 6263 to 4850 computations (22.6% saved)

localize45.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

series74.0ms (0.2%)

Counts

3 → 24

Calls

3 calls:

54.0ms

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

12.0ms

(/.f32 (-.f32 1 u1) (sqrt.f32 u1))

8.0ms

(/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))

rewrite233.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

994×	`times-frac_binary32`
755×	`sqrt-prod_binary32`
717×	`add-sqr-sqrt_binary32`
691×	`*-un-lft-identity_binary32`
436×	`add-cube-cbrt_binary32`

Counts

3 → 641

Calls

3 calls:

52.0ms

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

20.0ms

(/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))

13.0ms

(/.f32 (-.f32 1 u1) (sqrt.f32 u1))

simplify507.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

761×	`fma-def_binary32`
296×	`associate-/r/_binary32`
292×	`*-commutative_binary32`
282×	`associate-/l/_binary32`
189×	`associate-*r/_binary32`

Counts

665 → 733

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	554	20722
1	1158	17262
2	3392	16767
3	4599	16765
4	4927	16765

prune1.2s (3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	764	4	768
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	770	8	778

Error

0.0b

Counts

778 → 8

Alt Table

Status	Error	Program
▶	0.5b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))
	0.5b	(/.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (/.f32 (-.f32 1 u1) (sqrt.f32 u1))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 (sqrt.f32 314159265359/50000000000)) (.f32 (sqrt.f32 (sqrt.f32 314159265359/50000000000)) (.f32 (sqrt.f32 314159265359/50000000000) u2)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (/.f32 (-.f32 1 u1) (sqrt.f32 u1))))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (/.f32 (-.f32 1 u1) (sqrt.f32 u1))))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))))
	1.5b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))) (sqrt.f32 (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))
	0.6b	(.f32 (sqrt.f32 (.f32 (cbrt.f32 (/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))) (cbrt.f32 (/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))))) (.f32 (sqrt.f32 (cbrt.f32 (/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1))))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))

Compiler

Compiled 24853 to 15273 computations (38.5% saved)

localize55.0ms (0.1%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)
	0.3b	(/.f32 (-.f32 1 u1) (sqrt.f32 u1))
	0.4b	(/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))

series57.0ms (0.1%)

Counts

2 → 28

Calls

2 calls:

54.0ms

(*.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))) (sin.f32 (cbrt.f32 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))

3.0ms

(*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)

rewrite146.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

485×	`sqrt-prod_binary32`
466×	`times-frac_binary32`
344×	`add-sqr-sqrt_binary32`
311×	`*-un-lft-identity_binary32`
260×	`associate-l_binary32`

Counts

2 → 306

Calls

2 calls:

56.0ms

(*.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))) (sin.f32 (cbrt.f32 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))

4.0ms

(*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)

simplify407.0ms (1%)

Algorithm

1×	egg-herbie

Rules

401×	`fma-neg_binary32`
297×	`fma-def_binary32`
236×	`*-commutative_binary32`
233×	`associate-*l/_binary32`
218×	`associate-/r*_binary32`

Counts

334 → 401

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	426	10325
1	845	10095
2	1969	9282
3	4483	9210
4	4972	9210
5	4943	9210

prune1.3s (3.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	776	3	779
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	779	8	787

Error

0.0b

Counts

787 → 8

Alt Table

Status	Error	Program
✓	0.5b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (/.f32 (-.f32 1 u1) (sqrt.f32 u1)))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))
	0.5b	(/.f32 (.f32 (sin.f32 (.f32 u2 314159265359/50000000000)) (sqrt.f32 (sqrt.f32 u1))) (sqrt.f32 (/.f32 (-.f32 1 u1) (sqrt.f32 u1))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 (sqrt.f32 314159265359/50000000000)) (.f32 (sqrt.f32 (sqrt.f32 314159265359/50000000000)) (.f32 (sqrt.f32 314159265359/50000000000) u2)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1))) (/.f32 (+.f32 1 (sqrt.f32 u1)) 1))) (.f32 (sin.f32 (cbrt.f32 (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)))) (sqrt.f32 (/.f32 (sqrt.f32 (cbrt.f32 u1)) (+.f32 (/.f32 1 (sqrt.f32 u1)) -1)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (+.f32 1 (sqrt.f32 u1)) 1))) (.f32 (sin.f32 (cbrt.f32 (*.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)))) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))))
	1.5b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000)))) (sqrt.f32 (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1))) (.f32 (sqrt.f32 (sqrt.f32 u1)) (sin.f32 (cbrt.f32 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)))))

Compiler

Compiled 24792 to 15172 computations (38.8% saved)

regimes29.9s (76.8%)

Accuracy

Total 0.4b remaining (85.5%)

Threshold costs 0.4b (85.5%)

Counts

1220 → 1

Compiler

Compiled 310533 to 227822 computations (26.6% saved)

simplify9.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary32`
2×	`+-commutative_binary32`
2×	`sub-neg_binary32`
1×	`*-lft-identity_binary32`
1×	`neg-sub0_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	22
1	23	22
2	27	22
3	29	22
4	30	22
5	28	22

end1.0ms (0%)

Compiler: Compiled 17 to 14 computations (17.6% saved)

sample3.5s (9%)

Algorithm

1×

intervals

Results

1.5s	8000×	body	128	valid
530.0ms	8000×	pre	128	true
0.0ms	7×	pre	128	false

Compiler

Compiled 255 to 203 computations (20.4% 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

analyze440.0ms (1.1%)

sample68.0ms (0.2%)

simplify11.0ms (0%)

prune3.0ms (0%)

localize34.0ms (0.1%)

series44.0ms (0.1%)

rewrite33.0ms (0.1%)

simplify122.0ms (0.3%)

prune272.0ms (0.7%)

localize38.0ms (0.1%)

series53.0ms (0.1%)

rewrite24.0ms (0.1%)

simplify93.0ms (0.2%)

prune321.0ms (0.8%)

localize45.0ms (0.1%)

series74.0ms (0.2%)

rewrite233.0ms (0.6%)

simplify507.0ms (1.3%)

prune1.2s (3%)

localize55.0ms (0.1%)

series57.0ms (0.1%)

rewrite146.0ms (0.4%)

simplify407.0ms (1%)

prune1.3s (3.3%)

regimes29.9s (76.8%)

simplify9.0ms (0%)

end1.0ms (0%)

sample3.5s (9%)

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