Details

analyze805.0ms (5%)

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)

sample113.0ms (0.7%)

Algorithm

1×

intervals

Results

57.0ms	256×	body	128	valid
17.0ms	256×	pre	128	true

Compiler

Compiled 54 to 42 computations (22.2% saved)

simplify19.0ms (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

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

0.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 42 to 33 computations (21.4% saved)

localize66.0ms (0.4%)

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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
✓	0.3b	(*.f32 314159265359/50000000000 u2)

series62.0ms (0.4%)

Counts

4 → 28

Calls

4 calls:

51.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
4.0ms	(/.f32 u1 (-.f32 1 u1))
3.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
3.0ms	(*.f32 314159265359/50000000000 u2)

rewrite54.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`add-sqr-sqrt_binary32`
50×	`*-un-lft-identity_binary32`
37×	`times-frac_binary32`
30×	`associate-l_binary32`
29×	`add-cube-cbrt_binary32`

Counts

4 → 119

Calls

4 calls:

23.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
8.0ms	(/.f32 u1 (-.f32 1 u1))
5.0ms	(*.f32 314159265359/50000000000 u2)
2.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))

simplify194.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

508×	`fma-def_binary32`
448×	`associate-r_binary32`
378×	`associate-/r*_binary32`
357×	`times-frac_binary32`
261×	`fma-neg_binary32`

Counts

147 → 189

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	257	2754
1	569	2577
2	1673	2467
3	4686	2467
4	5037	2467

prune474.0ms (2.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	177	12	189
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	178	12	190

Error

0.0b

Counts

190 → 12

Alt Table

Status	Error	Program
	0.7b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 (sqrt.f32 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))
	12.6b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.8b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (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 (*.f32 314159265359/50000000000 (sqrt.f32 u2)) (sqrt.f32 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)))))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (.f32 (cbrt.f32 314159265359/50000000000) u2))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	1.5b	(.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))))
	0.9b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))))
	19.0b	(log.f32 (exp.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 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))))

Compiler

Compiled 4344 to 3184 computations (26.7% saved)

localize87.0ms (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 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))
✓	0.3b	(.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))
✓	0.3b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))

series117.0ms (0.7%)

Counts

3 → 44

Calls

3 calls:

83.0ms

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

17.0ms

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

17.0ms

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

rewrite58.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

22.0ms

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

19.0ms

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

3.0ms

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

simplify243.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

677×	`fma-neg_binary32`
421×	`fma-def_binary32`
377×	`*-commutative_binary32`
299×	`associate-/r*_binary32`
235×	`sub-neg_binary32`

Counts

123 → 154

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	214	2355
1	497	2167
2	1496	2057
3	3954	2049
4	4876	2049
5	4901	2049

prune365.0ms (2.3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	216	1	217
Fresh	1	10	11
Picked	0	1	1
Done	0	0	0
Total	217	12	229

Error

0.0b

Counts

229 → 12

Alt Table

Status	Error	Program
	0.7b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 (sqrt.f32 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))
▶	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))
	12.6b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.8b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (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 (*.f32 314159265359/50000000000 (sqrt.f32 u2)) (sqrt.f32 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)))))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 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 314159265359/50000000000 u2)))) (sqrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (sqrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.9b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))))
	19.0b	(log.f32 (exp.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 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))))

Compiler

Compiled 5547 to 4303 computations (22.4% saved)

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series74.0ms (0.5%)

Counts

3 → 44

Calls

3 calls:

56.0ms

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

11.0ms

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

7.0ms

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

rewrite51.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`add-sqr-sqrt_binary32`
39×	`associate-l_binary32`
28×	`*-un-lft-identity_binary32`
26×	`sqrt-prod_binary32`
19×	`times-frac_binary32`

Counts

3 → 89

Calls

3 calls:

24.0ms

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

9.0ms

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

4.0ms

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

simplify296.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

561×	`fma-neg_binary32`
434×	`fma-def_binary32`
299×	`associate-/r*_binary32`
227×	`cancel-sign-sub-inv_binary32`
211×	`times-frac_binary32`

Counts

133 → 167

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	230	2947
1	505	2794
2	1668	2634
3	4493	2634
4	4990	2634
5	4960	2634

prune637.0ms (4%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	224	6	230
Fresh	6	4	10
Picked	1	0	1
Done	0	1	1
Total	231	11	242

Error

0.0b

Counts

242 → 11

Alt Table

Status	Error	Program
	1.5b	(.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))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 (sqrt.f32 u2) 3) (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (.f32 u2 (sqrt.f32 u2)))))))
✓	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 (sqrt.f32 u1) (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)))))
▶	0.4b	(.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (+.f32 -1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))
	12.6b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	1.5b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))) (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))))
	0.8b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (.f32 314159265359/50000000000 u2))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 (.f32 (cbrt.f32 u2) (cbrt.f32 u2)) 3) (.f32 (pow.f32 (cbrt.f32 u2) 3) 31006276680305942139213528068663279/125000000000000000000000000000000)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 (sqrt.f32 u1)))) (sin.f32 (cbrt.f32 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)))))
	19.0b	(log.f32 (exp.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 5742 to 4427 computations (22.9% saved)

localize50.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series47.0ms (0.3%)

Counts

2 → 32

Calls

2 calls:

44.0ms

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

3.0ms

(/.f32 (neg.f32 u1) (+.f32 -1 u1))

rewrite41.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

95×	`*-un-lft-identity_binary32`
81×	`times-frac_binary32`
60×	`add-sqr-sqrt_binary32`
53×	`add-cube-cbrt_binary32`
49×	`associate-l_binary32`

Counts

2 → 141

Calls

2 calls:

18.0ms

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

6.0ms

(/.f32 (neg.f32 u1) (+.f32 -1 u1))

simplify209.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

638×	`times-frac_binary32`
487×	`fma-def_binary32`
389×	`div-sub_binary32`
234×	`fma-neg_binary32`
185×	`cancel-sign-sub-inv_binary32`

Counts

173 → 221

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	292	4228
1	649	4092
2	2045	3938
3	4539	3936
4	5066	3936

prune738.0ms (4.6%)

Pruning

11 alts after pruning (9 fresh and 2 done)

	Pruned	Kept	Total
New	293	0	293
Fresh	0	9	9
Picked	0	1	1
Done	0	1	1
Total	293	11	304

Error

0.0b

Counts

304 → 11

Alt Table

Status	Error	Program
	1.5b	(.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))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 (sqrt.f32 u2) 3) (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (.f32 u2 (sqrt.f32 u2)))))))
✓	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 (sqrt.f32 u1) (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)))))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 (neg.f32 u1) (+.f32 -1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))
	12.6b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	1.5b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))) (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))))
	0.8b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sin.f32 (.f32 314159265359/50000000000 u2))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 (.f32 (cbrt.f32 u2) (cbrt.f32 u2)) 3) (.f32 (pow.f32 (cbrt.f32 u2) 3) 31006276680305942139213528068663279/125000000000000000000000000000000)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 (sqrt.f32 u1)))) (sin.f32 (cbrt.f32 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)))))
	19.0b	(log.f32 (exp.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 7298 to 5393 computations (26.1% saved)

regimes9.0s (55.9%)

Accuracy

Total 0.4b remaining (82.3%)

Threshold costs 0.4b (82.3%)

Counts

484 → 1

Compiler

Compiled 95170 to 75132 computations (21.1% saved)

simplify5.0ms (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	14	22
1	20	22
2	24	22
3	26	22
4	27	22
5	26	22

end1.0ms (0%)

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

sample2.3s (14%)

Algorithm

1×

intervals

Results

1.0s	8000×	body	128	valid
346.0ms	8000×	pre	128	true
0.0ms	6×	pre	128	false

Compiler

Compiled 321 to 252 computations (21.5% 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

analyze805.0ms (5%)

sample113.0ms (0.7%)

simplify19.0ms (0.1%)

prune3.0ms (0%)

localize66.0ms (0.4%)

series62.0ms (0.4%)

rewrite54.0ms (0.3%)

simplify194.0ms (1.2%)

prune474.0ms (2.9%)

localize87.0ms (0.5%)

series117.0ms (0.7%)

rewrite58.0ms (0.4%)

simplify243.0ms (1.5%)

prune365.0ms (2.3%)

localize44.0ms (0.3%)

series74.0ms (0.5%)

rewrite51.0ms (0.3%)

simplify296.0ms (1.8%)

prune637.0ms (4%)

localize50.0ms (0.3%)

series47.0ms (0.3%)

rewrite41.0ms (0.3%)

simplify209.0ms (1.3%)

prune738.0ms (4.6%)

regimes9.0s (55.9%)

simplify5.0ms (0%)

end1.0ms (0%)

sample2.3s (14%)

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