Details

analyze433.0ms (3.2%)

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)

sample80.0ms (0.6%)

Algorithm

1×

intervals

Results

28.0ms	256×	body	128	valid
9.0ms	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

0.5b

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)

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series35.0ms (0.3%)

Counts

4 → 28

Calls

4 calls:

28.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
3.0ms	(/.f32 u1 (-.f32 1 u1))
2.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
2.0ms	(*.f32 314159265359/50000000000 u2)

rewrite31.0ms (0.2%)

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:

13.0ms	(.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))

simplify117.0ms (0.9%)

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

prune248.0ms (1.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	179	10	189
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	180	10	190

Error

0.0b

Counts

190 → 10

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (.f32 (.f32 314159265359/50000000000 314159265359/50000000000) 314159265359/50000000000) (.f32 (.f32 u2 u2) 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))))
	0.9b	(.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))))
	0.6b	(.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 u1 (-.f32 (pow.f32 1 3) (pow.f32 u1 3)))) (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (+.f32 1 (fma.f32 u1 u1 u1)))))
	1.9b	(-.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 1 (+.f32 (/.f32 1 u1) -1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.7b	(.f32 (sqrt.f32 (.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1))) (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))) (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))))
	2.0b	(.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))))

Compiler

Compiled 4294 to 3148 computations (26.7% saved)

localize42.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series62.0ms (0.5%)

Counts

3 → 44

Calls

3 calls:

44.0ms

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

10.0ms

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

7.0ms

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

rewrite29.0ms (0.2%)

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:

15.0ms

(*.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)))

simplify125.0ms (0.9%)

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

prune333.0ms (2.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	211	6	217
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	217	10	227

Error

0.0b

Counts

227 → 10

Alt Table

Status	Error	Program
	0.7b	(.f32 (sqrt.f32 (.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1))) (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.9b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))) (cbrt.f32 (sin.f32 (.f32 u2 314159265359/50000000000))))) (cbrt.f32 (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.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))))
	1.9b	(-.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)))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))))
	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 1 (/.f32 (-.f32 1 u1) u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (.f32 1 1) (.f32 u1 u1)))) (.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 u1 1))))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))
	0.6b	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))))

Compiler

Compiled 5591 to 4348 computations (22.2% saved)

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.1b	(cbrt.f32 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))
✓	0.2b	(sin.f32 (cbrt.f32 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)))
✓	0.3b	(*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))

series64.0ms (0.5%)

Counts

4 → 56

Calls

4 calls:

42.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))
12.0ms	(cbrt.f32 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))
6.0ms	(sin.f32 (cbrt.f32 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)))
4.0ms	(*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)

rewrite30.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

43×	`add-sqr-sqrt_binary32`
39×	`associate-l_binary32`
29×	`*-un-lft-identity_binary32`
26×	`sqrt-prod_binary32`
20×	`add-cube-cbrt_binary32`

Counts

4 → 100

Calls

4 calls:

12.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))
5.0ms	(*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)
4.0ms	(cbrt.f32 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))
2.0ms	(sin.f32 (cbrt.f32 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)))

simplify133.0ms (1%)

Algorithm

1×	egg-herbie

Rules

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

Counts

156 → 188

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	238	3139
1	514	2986
2	1711	2826
3	4430	2826
4	4950	2826

prune309.0ms (2.3%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	184	4	188
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	189	9	198

Error

0.0b

Counts

198 → 9

Alt Table

Status	Error	Program
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (.f32 (cbrt.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)))) (cbrt.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))) (cbrt.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))))))
	1.9b	(-.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)))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1)))) (sin.f32 (cbrt.f32 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)))))
	0.6b	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))) (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 (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 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)))))
	0.7b	(.f32 (sqrt.f32 (.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1))) (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (.f32 1 1) (.f32 u1 u1)))) (.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 u1 1))))

Compiler

Compiled 4893 to 3850 computations (21.3% saved)

localize44.0ms (0.3%)

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

series48.0ms (0.4%)

Counts

2 → 32

Calls

2 calls:

45.0ms	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
3.0ms	(/.f32 1 (/.f32 (-.f32 1 u1) u1))

rewrite63.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

264×	`times-frac_binary32`
199×	`add-sqr-sqrt_binary32`
185×	`*-un-lft-identity_binary32`
120×	`add-cube-cbrt_binary32`
76×	`sqrt-prod_binary32`

Counts

2 → 211

Calls

2 calls:

25.0ms	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
8.0ms	(/.f32 1 (/.f32 (-.f32 1 u1) u1))

simplify172.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

900×	`times-frac_binary32`
424×	`fma-def_binary32`
230×	`fma-neg_binary32`
227×	`associate-/r/_binary32`
155×	`associate-r_binary32`

Counts

243 → 334

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	261	6180
1	587	4832
2	1931	4598
3	4540	4598
4	4964	4598

prune646.0ms (4.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	391	2	393
Fresh	2	6	8
Picked	0	1	1
Done	0	0	0
Total	393	9	402

Error

0.0b

Counts

402 → 9

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) (sin.f32 (cbrt.f32 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)))))
	0.5b	(/.f32 (.f32 (sqrt.f32 1) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))) (sqrt.f32 (/.f32 (-.f32 1 u1) u1)))
	1.9b	(-.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)))))))
	0.8b	(.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 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)))))
	0.7b	(.f32 (sqrt.f32 (.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1))) (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 1 (/.f32 (-.f32 1 u1) u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (.f32 1 1) (.f32 u1 u1)))) (.f32 (sin.f32 (*.f32 u2 314159265359/50000000000)) (sqrt.f32 (+.f32 u1 1))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (-.f32 1 u1))) (.f32 (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 (cbrt.f32 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)))))

Compiler

Compiled 10787 to 8456 computations (21.6% saved)

regimes8.6s (63.2%)

Accuracy

Total 0.4b remaining (86%)

Threshold costs 0.4b (86%)

Counts

588 → 1

Compiler

Compiled 123695 to 98957 computations (20% 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	18	28
1	25	28
2	29	28
3	31	28
4	32	28
5	30	28

end1.0ms (0%)

Compiler: Compiled 21 to 17 computations (19% saved)

sample1.9s (13.7%)

Algorithm

1×

intervals

Results

801.0ms	8000×	body	128	valid
294.0ms	8000×	pre	128	true
0.0ms	3×	pre	128	false

Compiler

Compiled 311 to 247 computations (20.6% 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

analyze433.0ms (3.2%)

sample80.0ms (0.6%)

simplify10.0ms (0.1%)

prune2.0ms (0%)

localize31.0ms (0.2%)

series35.0ms (0.3%)

rewrite31.0ms (0.2%)

simplify117.0ms (0.9%)

prune248.0ms (1.8%)

localize42.0ms (0.3%)

series62.0ms (0.5%)

rewrite29.0ms (0.2%)

simplify125.0ms (0.9%)

prune333.0ms (2.5%)

localize39.0ms (0.3%)

series64.0ms (0.5%)

rewrite30.0ms (0.2%)

simplify133.0ms (1%)

prune309.0ms (2.3%)

localize44.0ms (0.3%)

series48.0ms (0.4%)

rewrite63.0ms (0.5%)

simplify172.0ms (1.3%)

prune646.0ms (4.8%)

regimes8.6s (63.2%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.9s (13.7%)

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