Details

analyze357.0ms (3.4%)

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)

sample69.0ms (0.7%)

Algorithm

1×

intervals

Results

23.0ms	256×	body	128	valid
8.0ms	256×	pre	128	true

Compiler

Compiled 54 to 42 computations (22.2% saved)

simplify8.0ms (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)

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)))

series29.0ms (0.3%)

Counts

4 → 28

Calls

4 calls:

24.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	(/.f32 u1 (-.f32 1 u1))
2.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
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:

12.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
4.0ms	(/.f32 u1 (-.f32 1 u1))
3.0ms	(*.f32 314159265359/50000000000 u2)
1.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))

simplify108.0ms (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

prune232.0ms (2.2%)

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
	0.5b	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1)))) (cbrt.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	1.6b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
	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))) (expm1.f32 (log1p.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))
	0.8b	(.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))))
	1.1b	(.f32 (sqrt.f32 (exp.f32 (log.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))))
	2.8b	(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (.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)))))
▶	0.5b	(.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)))))
	0.5b	(.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))))

Compiler

Compiled 4354 to 3194 computations (26.6% saved)

localize48.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(.f32 (.f32 (.f32 314159265359/50000000000 314159265359/50000000000) 314159265359/50000000000) (.f32 (*.f32 u2 u2) u2))
✓	0.3b	(.f32 (.f32 u2 u2) u2)
✓	0.3b	(.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)))))
✓	1.0b	(*.f32 314159265359/50000000000 314159265359/50000000000)

series44.0ms (0.4%)

Counts

4 → 44

Calls

4 calls:

35.0ms	(.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)))))
3.0ms	(.f32 (.f32 (.f32 314159265359/50000000000 314159265359/50000000000) 314159265359/50000000000) (.f32 (*.f32 u2 u2) u2))
3.0ms	(.f32 (.f32 u2 u2) u2)
0.0ms	(*.f32 314159265359/50000000000 314159265359/50000000000)

rewrite48.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

156×	`pow1_binary32`
57×	`pow-prod-down_binary32`
52×	`add-cbrt-cube_binary32`
49×	`add-exp-log_binary32`
47×	`pow-plus_binary32`

Counts

4 → 169

Calls

4 calls:

15.0ms	(.f32 (.f32 (.f32 314159265359/50000000000 314159265359/50000000000) 314159265359/50000000000) (.f32 (*.f32 u2 u2) u2))
11.0ms	(.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)))))
4.0ms	(.f32 (.f32 u2 u2) u2)
3.0ms	(*.f32 314159265359/50000000000 314159265359/50000000000)

simplify157.0ms (1.5%)

Algorithm

1×	egg-herbie

Rules

551×	`fma-neg_binary32`
399×	`*-commutative_binary32`
377×	`fma-def_binary32`
299×	`associate-/r*_binary32`
228×	`sub-neg_binary32`

Counts

213 → 207

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	257	3253
1	531	2924
2	1556	2757
3	4092	2718
4	4916	2718
5	4916	2718

prune303.0ms (2.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	203	4	207
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	207	12	219

Error

0.0b

Counts

219 → 12

Alt Table

Status	Error	Program
	0.5b	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1)))) (cbrt.f32 (-.f32 1 u1)))) (sin.f32 (*.f32 314159265359/50000000000 u2)))
	1.6b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
	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)))))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (cbrt.f32 (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)))) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))
	1.1b	(.f32 (sqrt.f32 (exp.f32 (log.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))))
	2.8b	(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) 1)) (.f32 (sin.f32 (cbrt.f32 (*.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)))) (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))))
	3.0b	(exp.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (sin.f32 (cbrt.f32 (.f32 (.f32 (.f32 314159265359/50000000000 314159265359/50000000000) 314159265359/50000000000) (.f32 (*.f32 u2 u2) u2)))))))
	0.9b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (sin.f32 (cbrt.f32 (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3))))) (cbrt.f32 (sin.f32 (cbrt.f32 (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3))))))) (cbrt.f32 (sin.f32 (cbrt.f32 (.f32 (.f32 (.f32 314159265359/50000000000 314159265359/50000000000) 314159265359/50000000000) (.f32 (.f32 u2 u2) u2))))))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (.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)))))

Compiler

Compiled 6113 to 4397 computations (28.1% saved)

localize34.0ms (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 (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))))

series55.0ms (0.5%)

Counts

3 → 44

Calls

3 calls:

40.0ms

(*.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))

5.0ms

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

rewrite25.0ms (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:

12.0ms

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

5.0ms

(*.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)))

simplify116.0ms (1.1%)

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

prune314.0ms (3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	214	3	217
Fresh	5	6	11
Picked	0	1	1
Done	0	0	0
Total	219	10	229

Error

0.0b

Counts

229 → 10

Alt Table

Status	Error	Program
	1.6b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (*.f32 314159265359/50000000000 u2)))))
	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)))))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (cbrt.f32 (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)))) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))
	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))))
	2.8b	(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) 1)) (.f32 (sin.f32 (cbrt.f32 (*.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)))) (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))))
	3.0b	(exp.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (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 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.8b	(.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)))))
▶	0.5b	(.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)))))

Compiler

Compiled 5509 to 4281 computations (22.3% saved)

localize49.0ms (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 (sqrt.f32 314159265359/50000000000)) (.f32 u2 (pow.f32 (sqrt.f32 314159265359/50000000000) 3/2))))
✓	0.2b	(.f32 (sqrt.f32 (sqrt.f32 314159265359/50000000000)) (.f32 u2 (pow.f32 (sqrt.f32 314159265359/50000000000) 3/2)))
✓	0.3b	(.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)))))

series54.0ms (0.5%)

Counts

3 → 44

Calls

3 calls:

40.0ms

(*.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)))))

9.0ms

(*.f32 (sqrt.f32 (sqrt.f32 314159265359/50000000000)) (*.f32 u2 (pow.f32 (sqrt.f32 314159265359/50000000000) 3/2)))

6.0ms

(sin.f32 (*.f32 (sqrt.f32 (sqrt.f32 314159265359/50000000000)) (*.f32 u2 (pow.f32 (sqrt.f32 314159265359/50000000000) 3/2))))

rewrite27.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`associate-l_binary32`
35×	`sqrt-prod_binary32`
34×	`add-sqr-sqrt_binary32`
27×	`*-un-lft-identity_binary32`
19×	`times-frac_binary32`

Counts

3 → 83

Calls

3 calls:

11.0ms

(*.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)))))

7.0ms

(*.f32 (sqrt.f32 (sqrt.f32 314159265359/50000000000)) (*.f32 u2 (pow.f32 (sqrt.f32 314159265359/50000000000) 3/2)))

2.0ms

(sin.f32 (*.f32 (sqrt.f32 (sqrt.f32 314159265359/50000000000)) (*.f32 u2 (pow.f32 (sqrt.f32 314159265359/50000000000) 3/2))))

simplify107.0ms (1%)

Algorithm

1×	egg-herbie

Rules

573×	`fma-neg_binary32`
476×	`*-commutative_binary32`
412×	`fma-def_binary32`
299×	`associate-/r*_binary32`
235×	`sub-neg_binary32`

Counts

127 → 159

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	229	3740
1	525	3142
2	1621	2984
3	4183	2132
4	4934	2132

prune276.0ms (2.6%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	221	1	222
Fresh	2	6	8
Picked	0	1	1
Done	0	1	1
Total	223	9	232

Error

0.0b

Counts

232 → 9

Alt Table

Status	Error	Program
	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))))
	2.8b	(exp.f32 (log.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) 1)) (.f32 (sin.f32 (cbrt.f32 (*.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (pow.f32 u2 3)))) (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1)))))
	0.8b	(.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 (sqrt.f32 (sqrt.f32 314159265359/50000000000)) (*.f32 u2 (pow.f32 (sqrt.f32 314159265359/50000000000) 3/2))))))
	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)))))))
	3.0b	(exp.f32 (+.f32 (log.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (log.f32 (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 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.8b	(.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)))))
✓	0.5b	(.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)))))

Compiler

Compiled 5858 to 4673 computations (20.2% saved)

regimes6.2s (59.3%)

Accuracy

Total 0.4b remaining (84.5%)

Threshold costs 0.4b (84.5%)

Counts

507 → 1

Compiler

Compiled 107722 to 85981 computations (20.2% saved)

simplify3.0ms (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	17	22
1	24	22
2	28	22
3	30	22
4	31	22
5	28	22

end1.0ms (0%)

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

sample1.7s (16.6%)

Algorithm

1×

intervals

Results

780.0ms	8000×	body	128	valid
270.0ms	8000×	pre	128	true
0.0ms	4×	pre	128	false

Compiler

Compiled 299 to 237 computations (20.7% 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

analyze357.0ms (3.4%)

sample69.0ms (0.7%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize28.0ms (0.3%)

series29.0ms (0.3%)

rewrite27.0ms (0.3%)

simplify108.0ms (1%)

prune232.0ms (2.2%)

localize48.0ms (0.5%)

series44.0ms (0.4%)

rewrite48.0ms (0.5%)

simplify157.0ms (1.5%)

prune303.0ms (2.9%)

localize34.0ms (0.3%)

series55.0ms (0.5%)

rewrite25.0ms (0.2%)

simplify116.0ms (1.1%)

prune314.0ms (3%)

localize49.0ms (0.5%)

series54.0ms (0.5%)

rewrite27.0ms (0.3%)

simplify107.0ms (1%)

prune276.0ms (2.6%)

regimes6.2s (59.3%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.7s (16.6%)

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