Details

analyze5.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	0%	100%	0
0%	0%	100%	1

Compiler

Compiled 38 to 21 computations (44.7% saved)

sample149.0ms (1.9%)

Algorithm

1×

intervals

Results

38.0ms	256×	body	128	valid
7.0ms	256×	pre	128	true

Compiler

Compiled 63 to 33 computations (47.6% saved)

simplify45.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

760×	`associate-/l/_binary32`
455×	`associate-/l*_binary32`
281×	`times-frac_binary32`
257×	`associate-/r/_binary32`
154×	`associate-*l/_binary32`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	36
1	24	36
2	80	36
3	299	36
4	822	36
5	1265	36
6	1211	36
7	1239	36
8	1247	36
9	1251	36
10	1253	36
11	1219	36
12	1217	36

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 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))

Compiler

Compiled 69 to 30 computations (56.5% saved)

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	0.4b	(*.f32 x (PI.f32))
✓	0.4b	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	0.4b	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))

series53.0ms (0.7%)

Counts

4 → 72

Calls

4 calls:

31.0ms	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
9.0ms	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
9.0ms	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
3.0ms	(*.f32 x (PI.f32))

rewrite19.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-cbrt-cube_binary32`
20×	`add-exp-log_binary32`
12×	`add-sqr-sqrt_binary32`
10×	`*-un-lft-identity_binary32`
10×	`add-cube-cbrt_binary32`

Counts

4 → 77

Calls

4 calls:

6.0ms	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau))
4.0ms	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
3.0ms	(*.f32 x (PI.f32))
1.0ms	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))

simplify80.0ms (1%)

Algorithm

1×	egg-herbie

Rules

805×	`associate-/l*_binary32`
347×	`fma-def_binary32`
320×	`cancel-sign-sub-inv_binary32`
307×	`associate-/l/_binary32`
235×	`unswap-sqr_binary32`

Counts

149 → 147

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	190	2890
1	484	2546
2	1854	2521
3	4970	2521

prune263.0ms (3.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	226	11	237
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	227	11	238

Error

0.0b

Counts

238 → 11

Alt Table

Status	Error	Program
	1.2b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 (.f32 x (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	1.1b	(.f32 (.f32 (/.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))))) (.f32 (PI.f32) x)) (/.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	0.8b	(.f32 (.f32 (.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))) (cbrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))))) (cbrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	0.6b	(.f32 (/.f32 (log1p.f32 (expm1.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	1.1b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 x (PI.f32)))) (cbrt.f32 (sin.f32 (.f32 x (PI.f32))))) (/.f32 (.f32 x (PI.f32)) (cbrt.f32 (sin.f32 (.f32 x (PI.f32)))))))
	0.8b	(.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	0.6b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	2.3b	(.f32 (.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 x (PI.f32))) (/.f32 (sqrt.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	1.3b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 x (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32)))) (*.f32 x (PI.f32))))
	1.1b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 (.f32 (cbrt.f32 (.f32 x (PI.f32))) (cbrt.f32 (.f32 x (PI.f32)))) (cbrt.f32 (.f32 x (PI.f32)))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	1.0b	(.f32 (/.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (cbrt.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))) (/.f32 (.f32 (PI.f32) (.f32 tau x)) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))

Compiler

Compiled 7199 to 1460 computations (79.7% saved)

localize41.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
	0.4b	(*.f32 x (PI.f32))
	0.4b	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))
✓	0.4b	(/.f32 (log1p.f32 (expm1.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))) (.f32 (.f32 x (PI.f32)) tau))

series29.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

29.0ms

(/.f32 (log1p.f32 (expm1.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))) (*.f32 (*.f32 x (PI.f32)) tau))

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary32`
10×	`add-exp-log_binary32`
3×	`associate-/l*_binary32`
3×	`*-un-lft-identity_binary32`
3×	`times-frac_binary32`

Counts

1 → 25

Calls

1 calls:

4.0ms

(/.f32 (log1p.f32 (expm1.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)))) (*.f32 (*.f32 x (PI.f32)) tau))

simplify75.0ms (1%)

Algorithm

1×	egg-herbie

Rules

793×	`times-frac_binary32`
662×	`associate-/r*_binary32`
448×	`associate-/l*_binary32`
367×	`fma-def_binary32`
274×	`*-commutative_binary32`

Counts

49 → 48

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	99	1347
1	263	1175
2	923	1167
3	4337	1163
4	4985	1163
5	4956	1163

prune248.0ms (3.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	233	4	237
Fresh	4	6	10
Picked	1	0	1
Done	0	0	0
Total	238	10	248

Error

0.0b

Counts

248 → 10

Alt Table

Status	Error	Program
	0.8b	(.f32 (.f32 (.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))) (cbrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))))) (cbrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	0.8b	(.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	1.3b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 x (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32)))) (*.f32 x (PI.f32))))
	0.8b	(.f32 (/.f32 (log1p.f32 (expm1.f32 (log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	1.2b	(.f32 (/.f32 (log1p.f32 (expm1.f32 (sin.f32 (.f32 (.f32 (.f32 x (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) tau)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	0.6b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	2.3b	(.f32 (.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 x (PI.f32))) (/.f32 (sqrt.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	1.1b	(.f32 (.f32 (/.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))))) (.f32 (PI.f32) x)) (/.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	1.8b	(.f32 (/.f32 (log1p.f32 (expm1.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))) (.f32 (.f32 x (PI.f32)) tau)) (-.f32 (fma.f32 1/120 (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)) 1) (fma.f32 1/6 (.f32 (pow.f32 (PI.f32) 2) (.f32 x x)) (.f32 1/5040 (pow.f32 (.f32 (PI.f32) x) 6)))))
	1.0b	(.f32 (/.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (cbrt.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))) (/.f32 (.f32 (PI.f32) (.f32 tau x)) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))

Compiler

Compiled 7624 to 1592 computations (79.1% saved)

localize38.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(sin.f32 (.f32 (.f32 x (PI.f32)) tau))
✓	0.3b	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 x (PI.f32)))
	0.4b	(*.f32 x (PI.f32))
	0.4b	(/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32)))

series24.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

24.0ms

(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (PI.f32)))

rewrite5.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary32`
6×	`add-exp-log_binary32`
3×	`associate-/l*_binary32`
3×	`*-un-lft-identity_binary32`
3×	`times-frac_binary32`

Counts

1 → 23

Calls

1 calls:

4.0ms

(/.f32 (sin.f32 (*.f32 (*.f32 x (PI.f32)) tau)) (*.f32 x (PI.f32)))

simplify52.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

522×	`distribute-rgt-neg-in_binary32`
502×	`distribute-lft-neg-in_binary32`
498×	`associate-l_binary32`
478×	`associate-r_binary32`
473×	`fma-neg_binary32`

Counts

47 → 46

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	89	1114
1	222	1009
2	682	1001
3	3303	995
4	5064	995

prune261.0ms (3.4%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	232	3	235
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	233	12	245

Error

0.0b

Counts

245 → 12

Alt Table

Status	Error	Program
	0.8b	(.f32 (.f32 (.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))) (cbrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))))) (cbrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
▶	0.6b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (.f32 x (PI.f32))))
	0.8b	(.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	2.3b	(.f32 (/.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (/.f32 (PI.f32) (/.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) x))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	1.3b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 x (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32)))) (*.f32 x (PI.f32))))
	0.8b	(.f32 (/.f32 (log1p.f32 (expm1.f32 (log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	1.2b	(.f32 (/.f32 (log1p.f32 (expm1.f32 (sin.f32 (.f32 (.f32 (.f32 x (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) tau)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	2.3b	(.f32 (.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 x (PI.f32))) (/.f32 (sqrt.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	1.1b	(.f32 (.f32 (/.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))))) (.f32 (PI.f32) x)) (/.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	1.8b	(.f32 (/.f32 (log1p.f32 (expm1.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))) (.f32 (.f32 x (PI.f32)) tau)) (-.f32 (fma.f32 1/120 (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)) 1) (fma.f32 1/6 (.f32 (pow.f32 (PI.f32) 2) (.f32 x x)) (.f32 1/5040 (pow.f32 (.f32 (PI.f32) x) 6)))))
	1.0b	(.f32 (/.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (cbrt.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))) (/.f32 (.f32 (PI.f32) (.f32 tau x)) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	0.7b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x))) tau)) (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))

Compiler

Compiled 7189 to 1656 computations (77% saved)

localize50.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.3b	(/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (*.f32 x (PI.f32)))
✓	0.4b	(*.f32 (PI.f32) x)
	0.4b	(*.f32 x (PI.f32))
✓	0.4b	(/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (.f32 x (PI.f32)))

series13.0ms (0.2%)

Counts

2 → 12

Calls

2 calls:

10.0ms	(/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (.f32 x (PI.f32)))
2.0ms	(*.f32 (PI.f32) x)

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-cbrt-cube_binary32`
9×	`add-exp-log_binary32`
8×	`add-sqr-sqrt_binary32`
6×	`*-un-lft-identity_binary32`
6×	`add-cube-cbrt_binary32`

Counts

2 → 44

Calls

2 calls:

4.0ms	(*.f32 (PI.f32) x)
4.0ms	(/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (.f32 x (PI.f32)))

simplify97.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

732×	`fma-def_binary32`
645×	`times-frac_binary32`
505×	`unswap-sqr_binary32`
359×	`associate-/r*_binary32`
343×	`associate-r_binary32`

Counts

56 → 70

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	108	905
1	244	798
2	778	791
3	3170	783
4	4797	783
5	4834	783
6	4975	783
7	4936	783

prune235.0ms (3%)

Pruning

12 alts after pruning (11 fresh and 1 done)

	Pruned	Kept	Total
New	206	0	206
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	206	12	218

Error

0.0b

Counts

218 → 12

Alt Table

Status	Error	Program
	0.8b	(.f32 (.f32 (.f32 (cbrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x)))) (cbrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))))) (cbrt.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
✓	0.6b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x)))) (.f32 x (PI.f32))))
	0.8b	(.f32 (log.f32 (exp.f32 (/.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))) (.f32 (PI.f32) (.f32 tau x))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	2.3b	(.f32 (/.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (/.f32 (PI.f32) (/.f32 (sqrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) x))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	1.3b	(.f32 (/.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 (.f32 x (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32)))) (*.f32 x (PI.f32))))
	0.8b	(.f32 (/.f32 (log1p.f32 (expm1.f32 (log1p.f32 (expm1.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))))))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	1.2b	(.f32 (/.f32 (log1p.f32 (expm1.f32 (sin.f32 (.f32 (.f32 (.f32 x (.f32 (cbrt.f32 (PI.f32)) (cbrt.f32 (PI.f32)))) (cbrt.f32 (PI.f32))) tau)))) (.f32 (.f32 x (PI.f32)) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	2.3b	(.f32 (.f32 (/.f32 (sqrt.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (.f32 x (PI.f32))) (/.f32 (sqrt.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (*.f32 x (PI.f32))))
	1.1b	(.f32 (.f32 (/.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x))))) (.f32 (PI.f32) x)) (/.f32 (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x)))) tau)) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	1.8b	(.f32 (/.f32 (log1p.f32 (expm1.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))) (.f32 (.f32 x (PI.f32)) tau)) (-.f32 (fma.f32 1/120 (.f32 (pow.f32 (PI.f32) 4) (pow.f32 x 4)) 1) (fma.f32 1/6 (.f32 (pow.f32 (PI.f32) 2) (.f32 x x)) (.f32 1/5040 (pow.f32 (.f32 (PI.f32) x) 6)))))
	1.0b	(.f32 (/.f32 (.f32 (cbrt.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau))) (cbrt.f32 (sin.f32 (.f32 (.f32 x (PI.f32)) tau)))) (/.f32 (.f32 (PI.f32) (.f32 tau x)) (cbrt.f32 (sin.f32 (.f32 (PI.f32) (.f32 tau x)))))) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))
	0.7b	(.f32 (/.f32 (/.f32 (sin.f32 (.f32 (expm1.f32 (log1p.f32 (.f32 (PI.f32) x))) tau)) (.f32 x (PI.f32))) tau) (/.f32 (sin.f32 (.f32 x (PI.f32))) (.f32 x (PI.f32))))

Compiler

Compiled 6338 to 1302 computations (79.5% saved)

regimes4.0s (51.3%)

Accuracy

Total 0.5b remaining (76.3%)

Threshold costs 0.5b (76.3%)

Counts

651 → 1

Compiler

Compiled 82221 to 42460 computations (48.4% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	41
1	19	41
2	19	41

end1.0ms (0%)

Compiler: Compiled 26 to 14 computations (46.2% saved)

sample1.9s (25%)

Algorithm

1×

intervals

Results

1.1s	8000×	body	128	valid
223.0ms	8000×	pre	128	true

Compiler

Compiled 470 to 233 computations (50.4% saved)

Details

analyze5.0ms (0.1%)

sample149.0ms (1.9%)

simplify45.0ms (0.6%)

prune2.0ms (0%)

localize34.0ms (0.4%)

series53.0ms (0.7%)

rewrite19.0ms (0.2%)

simplify80.0ms (1%)

prune263.0ms (3.4%)

localize41.0ms (0.5%)

series29.0ms (0.4%)

rewrite6.0ms (0.1%)

simplify75.0ms (1%)

prune248.0ms (3.2%)

localize38.0ms (0.5%)

series24.0ms (0.3%)

rewrite5.0ms (0.1%)

simplify52.0ms (0.7%)

prune261.0ms (3.4%)

localize50.0ms (0.6%)

series13.0ms (0.2%)

rewrite10.0ms (0.1%)

simplify97.0ms (1.2%)

prune235.0ms (3%)

regimes4.0s (51.3%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.9s (25%)

Profiling