Details

analyze399.0ms (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)

sample2.0s (18.5%)

Results

2.0s	8256×	body	128	valid
2.0ms	7×	body	128	invalid

Compiler

Compiled 88 to 67 computations (23.9% saved)

simplify12.0ms (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)

localize27.0ms (0.2%)

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

series33.0ms (0.3%)

Counts

4 → 28

Calls

4 calls:

28.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	(/.f32 u1 (-.f32 1 u1))
2.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))
1.0ms	(*.f32 314159265359/50000000000 u2)

rewrite30.0ms (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)))
9.0ms	(/.f32 u1 (-.f32 1 u1))
3.0ms	(*.f32 314159265359/50000000000 u2)
1.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))

simplify109.0ms (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

prune247.0ms (2.2%)

Pruning

15 alts after pruning (15 fresh and 0 done)

	Pruned	Kept	Total
New	174	15	189
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	175	15	190

Error

0.1b

Counts

190 → 15

Alt Table

Status	Error	Program
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	4.4b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (sin.f32 (.f32 314159265359/50000000000 u2)))
	1.3b	(.f32 (sqrt.f32 (exp.f32 (log.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 (*.f32 314159265359/50000000000 u2))))
	12.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.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))))
	0.8b	(.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)))))
	0.6b	(cbrt.f32 (pow.f32 (.f32 (sin.f32 (.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) 3))
	0.6b	(.f32 (sqrt.f32 (.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (.f32 314159265359/50000000000 u2)))
	0.6b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (expm1.f32 (log1p.f32 (.f32 314159265359/50000000000 u2)))))
	1.0b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (.f32 314159265359/50000000000 (.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sqrt.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 u1)))) (sin.f32 (.f32 314159265359/50000000000 u2))))
	2.3b	(-.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 (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))))
	0.7b	(.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 (.f32 314159265359/50000000000 u2))))

Compiler

Compiled 4500 to 3290 computations (26.9% saved)

localize36.0ms (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))
✓	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))

series56.0ms (0.5%)

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 (0.2%)

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:

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)))

simplify115.0ms (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

prune322.0ms (2.9%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	210	7	217
Fresh	10	4	14
Picked	1	0	1
Done	0	0	0
Total	221	11	232

Error

0.1b

Counts

232 → 11

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 (.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	2.3b	(-.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 (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 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 314159265359/50000000000) (sqrt.f32 314159265359/50000000000)) (sqrt.f32 314159265359/50000000000)) (.f32 (.f32 (.f32 (sqrt.f32 314159265359/50000000000) (sqrt.f32 314159265359/50000000000)) (sqrt.f32 314159265359/50000000000)) (.f32 (*.f32 u2 u2) u2))))))
	0.8b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))))) (cbrt.f32 (.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 1 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sqrt.f32 (/.f32 u1 (cbrt.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 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.7b	(.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 (.f32 314159265359/50000000000 u2))))
	12.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 5683 to 4422 computations (22.2% saved)

localize63.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

series76.0ms (0.7%)

Counts

4 → 56

Calls

4 calls:

46.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 314159265359/50000000000) (sqrt.f32 314159265359/50000000000)) (sqrt.f32 314159265359/50000000000)) (.f32 (.f32 (.f32 (sqrt.f32 314159265359/50000000000) (sqrt.f32 314159265359/50000000000)) (sqrt.f32 314159265359/50000000000)) (.f32 (*.f32 u2 u2) u2))))))
20.0ms	(.f32 (.f32 (.f32 (sqrt.f32 314159265359/50000000000) (sqrt.f32 314159265359/50000000000)) (sqrt.f32 314159265359/50000000000)) (.f32 (.f32 (.f32 (sqrt.f32 314159265359/50000000000) (sqrt.f32 314159265359/50000000000)) (sqrt.f32 314159265359/50000000000)) (.f32 (.f32 u2 u2) u2)))
8.0ms	(sin.f32 (cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 314159265359/50000000000) (sqrt.f32 314159265359/50000000000)) (sqrt.f32 314159265359/50000000000)) (.f32 (.f32 (.f32 (sqrt.f32 314159265359/50000000000) (sqrt.f32 314159265359/50000000000)) (sqrt.f32 314159265359/50000000000)) (.f32 (.f32 u2 u2) u2)))))
3.0ms	(.f32 (.f32 u2 u2) u2)

rewrite154.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

652×	`pow1_binary32`
307×	`pow-prod-down_binary32`
222×	`pow-plus_binary32`
222×	`pow-prod-up_binary32`
185×	`add-cbrt-cube_binary32`

Counts

4 → 270

Calls

4 calls:

67.0ms	(.f32 (.f32 (.f32 (sqrt.f32 314159265359/50000000000) (sqrt.f32 314159265359/50000000000)) (sqrt.f32 314159265359/50000000000)) (.f32 (.f32 (.f32 (sqrt.f32 314159265359/50000000000) (sqrt.f32 314159265359/50000000000)) (sqrt.f32 314159265359/50000000000)) (.f32 (.f32 u2 u2) u2)))
13.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 314159265359/50000000000) (sqrt.f32 314159265359/50000000000)) (sqrt.f32 314159265359/50000000000)) (.f32 (.f32 (.f32 (sqrt.f32 314159265359/50000000000) (sqrt.f32 314159265359/50000000000)) (sqrt.f32 314159265359/50000000000)) (.f32 (*.f32 u2 u2) u2))))))
6.0ms	(.f32 (.f32 u2 u2) u2)
3.0ms	(sin.f32 (cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 314159265359/50000000000) (sqrt.f32 314159265359/50000000000)) (sqrt.f32 314159265359/50000000000)) (.f32 (.f32 (.f32 (sqrt.f32 314159265359/50000000000) (sqrt.f32 314159265359/50000000000)) (sqrt.f32 314159265359/50000000000)) (.f32 (.f32 u2 u2) u2)))))

simplify222.0ms (2%)

Algorithm

1×	egg-herbie

Rules

466×	`fma-def_binary32`
335×	`fma-neg_binary32`
299×	`associate-/r*_binary32`
298×	`associate-l_binary32`
293×	`associate-r_binary32`

Counts

326 → 228

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	299	4715
1	595	3771
2	1981	3657
3	4614	3555
4	4965	3555
5	4904	3555

prune348.0ms (3.2%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	225	3	228
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	228	11	239

Error

0.1b

Counts

239 → 11

Alt Table

Status	Error	Program
	18.8b	(log.f32 (exp.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 314159265359/50000000000) (sqrt.f32 314159265359/50000000000)) (sqrt.f32 314159265359/50000000000)) (.f32 (.f32 (.f32 (sqrt.f32 314159265359/50000000000) (sqrt.f32 314159265359/50000000000)) (sqrt.f32 314159265359/50000000000)) (.f32 (*.f32 u2 u2) u2))))))))
	0.6b	(.f32 (sqrt.f32 (.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	2.3b	(-.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 (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 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (.f32 (.f32 u2 u2) u2)))))
	0.8b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))))) (cbrt.f32 (.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 1 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sqrt.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 u1)))) (sin.f32 (.f32 314159265359/50000000000 u2))))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.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 (sin.f32 (cbrt.f32 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))) (sqrt.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))))
	12.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 8998 to 7074 computations (21.4% saved)

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series56.0ms (0.5%)

Counts

3 → 44

Calls

3 calls:

38.0ms

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

10.0ms

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

7.0ms

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

rewrite27.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary32`
30×	`associate-l_binary32`
26×	`sqrt-prod_binary32`
25×	`*-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 (cbrt.f32 (*.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (*.f32 (*.f32 u2 u2) u2)))))

7.0ms

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

2.0ms

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

simplify139.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

657×	`fma-neg_binary32`
403×	`fma-def_binary32`
392×	`*-commutative_binary32`
299×	`associate-/r*_binary32`
256×	`sub-neg_binary32`

Counts

123 → 151

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	219	2861
1	486	2672
2	1504	2524
3	3995	2512
4	4910	2512
5	4922	2512

prune255.0ms (2.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	181	1	182
Fresh	1	9	10
Picked	0	1	1
Done	0	0	0
Total	182	11	193

Error

0.1b

Counts

193 → 11

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 (.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.6b	(.f32 (sqrt.f32 (.f32 (/.f32 u1 (-.f32 1 (.f32 u1 u1))) (+.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.8b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2))))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 (sqrt.f32 314159265359/50000000000) u2)))))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))))
	18.8b	(log.f32 (exp.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (.f32 (.f32 u2 u2) u2)))))))
	2.3b	(-.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 (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 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 31006276680305942139213528068663279/125000000000000000000000000000000 (.f32 (.f32 u2 u2) u2)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sqrt.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 u1)))) (sin.f32 (.f32 314159265359/50000000000 u2))))
	1.2b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.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 (sin.f32 (cbrt.f32 (*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))) (sqrt.f32 (/.f32 (sqrt.f32 u1) (sqrt.f32 (-.f32 1 u1))))))
	12.1b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (sin.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 4694 to 3257 computations (30.6% saved)

regimes6.0s (54.2%)

Accuracy

Total 0.4b remaining (84.4%)

Threshold costs 0.4b (84.4%)

Counts

442 → 1

Compiler

Compiled 93514 to 74369 computations (20.5% saved)

simplify4.0ms (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

end215.0ms (2%)

Compiler: Compiled 356 to 277 computations (22.2% 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

analyze399.0ms (3.6%)

sample2.0s (18.5%)

simplify12.0ms (0.1%)

prune2.0ms (0%)

localize27.0ms (0.2%)

series33.0ms (0.3%)

rewrite30.0ms (0.3%)

simplify109.0ms (1%)

prune247.0ms (2.2%)

localize36.0ms (0.3%)

series56.0ms (0.5%)

rewrite25.0ms (0.2%)

simplify115.0ms (1%)

prune322.0ms (2.9%)

localize63.0ms (0.6%)

series76.0ms (0.7%)

rewrite154.0ms (1.4%)

simplify222.0ms (2%)

prune348.0ms (3.2%)

localize42.0ms (0.4%)

series56.0ms (0.5%)

rewrite27.0ms (0.2%)

simplify139.0ms (1.3%)

prune255.0ms (2.3%)

regimes6.0s (54.2%)

simplify4.0ms (0%)

end215.0ms (2%)

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