Details

analyze360.0ms (3.6%)

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)

sample74.0ms (0.7%)

Algorithm

1×

intervals

Results

26.0ms	256×	body	128	valid
10.0ms	256×	pre	128	true

Compiler

Compiled 54 to 42 computations (22.2% saved)

simplify10.0ms (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

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)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series32.0ms (0.3%)

Counts

4 → 28

Calls

4 calls:

25.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
3.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
2.0ms	(/.f32 u1 (-.f32 1 u1))
1.0ms	(*.f32 314159265359/50000000000 u2)

rewrite27.0ms (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:

10.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
6.0ms	(/.f32 u1 (-.f32 1 u1))
3.0ms	(*.f32 314159265359/50000000000 u2)
1.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))

simplify108.0ms (1.1%)

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

prune227.0ms (2.3%)

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

0.1b

Counts

190 → 12

Alt Table

Status	Error	Program
	1.0b	(.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)))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) 1)) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))))
	0.7b	(.f32 (sqrt.f32 (.f32 (/.f32 (sqrt.f32 u1) (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1)))) (/.f32 (sqrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
▶	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	1.0b	(.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)))))
	13.6b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.9b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1)))) (sin.f32 (.f32 314159265359/50000000000 u2))))
	0.6b	(.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))))
	11.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))
	1.0b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))))
	1.4b	(.f32 (sqrt.f32 (exp.f32 (-.f32 (log.f32 u1) (log.f32 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.8b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2))))

Compiler

Compiled 4340 to 3182 computations (26.7% saved)

localize36.0ms (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 (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))))

series57.0ms (0.6%)

Counts

3 → 44

Calls

3 calls:

42.0ms

(*.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))

6.0ms

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

rewrite25.0ms (0.3%)

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:

10.0ms

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

7.0ms

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

2.0ms

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

simplify117.0ms (1.2%)

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

prune276.0ms (2.8%)

Pruning

14 alts after pruning (14 fresh and 0 done)

	Pruned	Kept	Total
New	208	9	217
Fresh	6	5	11
Picked	1	0	1
Done	0	0	0
Total	215	14	229

Error

0.1b

Counts

229 → 14

Alt Table

Status	Error	Program
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 (sqrt.f32 314159265359/50000000000)) (*.f32 u2 (pow.f32 (sqrt.f32 314159265359/50000000000) 3/2)))))
	1.0b	(.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)))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) 1)) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))))
	0.8b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 (sqrt.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 (/.f32 (-.f32 1 u1) u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	13.6b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 u1) (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))))
	3.2b	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	1.0b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))))
	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 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))))
	11.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))))
	0.6b	(.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)))))
	1.4b	(.f32 (sqrt.f32 (exp.f32 (-.f32 (log.f32 u1) (log.f32 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 5643 to 4390 computations (22.2% saved)

localize36.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(/.f32 u1 (-.f32 1 u1))
✓	0.2b	(sin.f32 (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))))

series49.0ms (0.5%)

Counts

3 → 44

Calls

3 calls:

37.0ms

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

6.0ms

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

6.0ms

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

rewrite23.0ms (0.2%)

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:

10.0ms

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

4.0ms

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

2.0ms

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

simplify144.0ms (1.4%)

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

prune293.0ms (2.9%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	226	4	230
Fresh	5	8	13
Picked	0	1	1
Done	0	0	0
Total	231	13	244

Error

0.1b

Counts

244 → 13

Alt Table

Status	Error	Program
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 (sqrt.f32 314159265359/50000000000)) (*.f32 u2 (pow.f32 (sqrt.f32 314159265359/50000000000) 3/2)))))
	1.0b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))))
	0.9b	(.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 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)))))
	1.4b	(.f32 (sqrt.f32 (exp.f32 (-.f32 (log.f32 u1) (log.f32 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	3.0b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)))))))
	13.6b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	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 (cbrt.f32 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)))))
	3.2b	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) 1)) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2))))
	11.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))))
▶	0.6b	(.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)))))
	0.8b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))))

Compiler

Compiled 5799 to 4478 computations (22.8% saved)

localize44.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series89.0ms (0.9%)

Counts

2 → 32

Calls

2 calls:

50.0ms

(*.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)))))

39.0ms

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

rewrite30.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`add-sqr-sqrt_binary32`
33×	`associate-l_binary32`
30×	`sqrt-prod_binary32`
26×	`*-un-lft-identity_binary32`
20×	`times-frac_binary32`

Counts

2 → 72

Calls

2 calls:

13.0ms

(*.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)))))

11.0ms

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

simplify122.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

853×	`times-frac_binary32`
614×	`fma-def_binary32`
340×	`fma-neg_binary32`
270×	`associate-/l*_binary32`
257×	`associate-r_binary32`

Counts

104 → 147

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	197	3362
1	501	2489
2	1817	2336
3	4774	2336
4	4938	2261
5	4985	2261

prune271.0ms (2.7%)

Pruning

14 alts after pruning (13 fresh and 1 done)

	Pruned	Kept	Total
New	203	3	206
Fresh	1	10	11
Picked	1	0	1
Done	0	1	1
Total	205	14	219

Error

0.1b

Counts

219 → 14

Alt Table

Status	Error	Program
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 (sqrt.f32 314159265359/50000000000)) (*.f32 u2 (pow.f32 (sqrt.f32 314159265359/50000000000) 3/2)))))
	0.7b	(.f32 (sqrt.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1))) (.f32 (.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 1 (-.f32 1 u1)))) (sqrt.f32 (cbrt.f32 u1))))
	1.0b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))))
	0.9b	(.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 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)))))
	1.4b	(.f32 (sqrt.f32 (exp.f32 (-.f32 (log.f32 u1) (log.f32 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	3.0b	(exp.f32 (log.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)))))))
	1.9b	(.f32 (sqrt.f32 (.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)))))) (sqrt.f32 (.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)))))))
	13.6b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	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 (cbrt.f32 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)))))
	3.2b	(.f32 (sqrt.f32 (fma.f32 u1 (fma.f32 u1 u1 u1) u1)) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	11.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))))
	11.7b	(.f32 (sqrt.f32 u1) (.f32 (sqrt.f32 (/.f32 1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))))))
	0.8b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))))

Compiler

Compiled 5694 to 4530 computations (20.4% saved)

regimes5.6s (56.1%)

Accuracy

Total 0.4b remaining (86.8%)

Threshold costs 0.4b (86.8%)

Counts

491 → 1

Compiler

Compiled 95801 to 77334 computations (19.3% saved)

simplify3.0ms (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	25
1	21	25
2	25	25
3	27	25
4	28	25
5	27	25

end4.0ms (0%)

Compiler: Compiled 19 to 14 computations (26.3% saved)

sample1.9s (18.8%)

Algorithm

1×

intervals

Results

804.0ms	8000×	body	128	valid
286.0ms	8000×	pre	128	true
0.0ms	5×	pre	128	false

Compiler

Compiled 396 to 315 computations (20.5% 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

analyze360.0ms (3.6%)

sample74.0ms (0.7%)

simplify10.0ms (0.1%)

prune2.0ms (0%)

localize28.0ms (0.3%)

series32.0ms (0.3%)

rewrite27.0ms (0.3%)

simplify108.0ms (1.1%)

prune227.0ms (2.3%)

localize36.0ms (0.4%)

series57.0ms (0.6%)

rewrite25.0ms (0.3%)

simplify117.0ms (1.2%)

prune276.0ms (2.8%)

localize36.0ms (0.4%)

series49.0ms (0.5%)

rewrite23.0ms (0.2%)

simplify144.0ms (1.4%)

prune293.0ms (2.9%)

localize44.0ms (0.4%)

series89.0ms (0.9%)

rewrite30.0ms (0.3%)

simplify122.0ms (1.2%)

prune271.0ms (2.7%)

regimes5.6s (56.1%)

simplify3.0ms (0%)

end4.0ms (0%)

sample1.9s (18.8%)

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