Details

analyze334.0ms (1.9%)

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 29 to 22 computations (24.1% saved)

sample50.0ms (0.3%)

Algorithm

1×

intervals

Results

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

Compiler

Compiled 46 to 36 computations (21.7% saved)

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

11×	`sub-neg_binary32`
7×	`+-commutative_binary32`
4×	`*-commutative_binary32`
4×	`div-sub_binary32`
3×	`associate-+l-_binary32`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	26	17
4	32	17
5	40	17
6	49	17
7	63	17
8	70	17
9	73	17
10	74	17
11	54	17

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Kept	Total
New	0	0
Fresh	1	1
Picked	0	0
Done	0	0
Total	1	1

Error

0.5b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))

Compiler

Compiled 28 to 22 computations (21.4% saved)

localize25.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(/.f32 u1 (-.f32 1 u1))
0.1b	(sin.f32 (*.f32 3537118876014453/562949953421312 u2))
0.3b	(*.f32 3537118876014453/562949953421312 u2)
0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))

rewrite237.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

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 → 111

Calls

4 calls:

16.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
6.0ms	(/.f32 u1 (-.f32 1 u1))
3.0ms	(*.f32 3537118876014453/562949953421312 u2)
1.0ms	(sin.f32 (*.f32 3537118876014453/562949953421312 u2))

Compiler

Compiled 1897 to 1354 computations (28.6% saved)

series99.0ms (0.6%)

Error

0.3b

Counts

4 → 24

Calls

4 calls:

38.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
12.0ms	(sin.f32 (*.f32 3537118876014453/562949953421312 u2))
12.0ms	(/.f32 u1 (-.f32 1 u1))
9.0ms	(*.f32 3537118876014453/562949953421312 u2)

Compiler

Compiled 905 to 711 computations (21.4% saved)

simplify141.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

841×	`div-sub_binary32`
433×	`associate-/l/_binary32`
378×	`associate-l_binary32`
328×	`associate-/r/_binary32`
274×	`associate-r_binary32`

Counts

135 → 77

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	209	2167
1	417	2022
2	1064	2000
3	2479	1994
4	4778	1994
5	6605	1994

prune164.0ms (0.9%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	67	10	77
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	68	10	78

Error

0.0b

Counts

78 → 10

Alt Table

Status	Error	Program
	1.3b	(.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))
	1.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 (.f32 3537118876014453/562949953421312 u2) (.f32 184555513797105975220812469523723946352429416450594620518382428602542406675831/2261564242916331941866620800950935700259179388000792266395655937654553313280 (pow.f32 u2 5))) (+.f32 (.f32 14751212283789755923750049881590808948775912559/356811923176489970264571492362373784095686656 (pow.f32 u2 3)) (*.f32 769670926421494516915515502986651109773209587524738500546832361512900963731225976564573935163606038264335893/10034056444956562863297341416946630365984971827611229916351951172317787582887121035306331169856799878676480 (pow.f32 u2 7)))))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (pow.f32 1 3) (pow.f32 u1 3)))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (+.f32 1 (+.f32 u1 (.f32 u1 u1))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) 1)) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))))
	0.6b	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))))
	0.7b	(.f32 (sqrt.f32 (.f32 (.f32 (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))

Compiler

Compiled 1671 to 1200 computations (28.2% saved)

localize56.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(sin.f32 (*.f32 3537118876014453/562949953421312 u2))
0.3b	(*.f32 3537118876014453/562949953421312 u2)
0.3b	(.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (+.f32 1 (+.f32 u1 (*.f32 u1 u1)))))
0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (pow.f32 1 3) (pow.f32 u1 3)))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (+.f32 1 (+.f32 u1 (.f32 u1 u1))))))

rewrite440.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

144×	`add-sqr-sqrt_binary32`
117×	`associate-l_binary32`
113×	`sqrt-prod_binary32`
107×	`*-un-lft-identity_binary32`
102×	`times-frac_binary32`

Counts

4 → 181

Calls

4 calls:

48.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (pow.f32 1 3) (pow.f32 u1 3)))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (+.f32 1 (+.f32 u1 (.f32 u1 u1))))))
9.0ms	(.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (+.f32 1 (+.f32 u1 (*.f32 u1 u1)))))
3.0ms	(*.f32 3537118876014453/562949953421312 u2)
2.0ms	(sin.f32 (*.f32 3537118876014453/562949953421312 u2))

Compiler

Compiled 4641 to 3159 computations (31.9% saved)

series210.0ms (1.2%)

Error

0.0b

Counts

4 → 31

Calls

4 calls:

60.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (pow.f32 1 3) (pow.f32 u1 3)))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (+.f32 1 (+.f32 u1 (.f32 u1 u1))))))
55.0ms	(.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (+.f32 1 (+.f32 u1 (*.f32 u1 u1)))))
18.0ms	(sin.f32 (*.f32 3537118876014453/562949953421312 u2))
12.0ms	(*.f32 3537118876014453/562949953421312 u2)

Compiler

Compiled 2200 to 1735 computations (21.1% saved)

simplify290.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

337×	`distribute-rgt-in_binary32`
319×	`associate-r_binary32`
318×	`distribute-lft-in_binary32`
306×	`cancel-sign-sub-inv_binary32`
253×	`times-frac_binary32`

Counts

212 → 178

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	312	6664
1	672	6401
2	1880	6253
3	3943	6109
4	4727	6085
5	4926	6085
6	4951	6085

prune337.0ms (1.9%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	177	1	178
Fresh	0	9	9
Picked	0	1	1
Done	0	0	0
Total	177	11	188

Error

0.0b

Counts

188 → 11

Alt Table

Status	Error	Program
	1.3b	(.f32 (sqrt.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))
	1.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 (.f32 3537118876014453/562949953421312 u2) (.f32 184555513797105975220812469523723946352429416450594620518382428602542406675831/2261564242916331941866620800950935700259179388000792266395655937654553313280 (pow.f32 u2 5))) (+.f32 (.f32 14751212283789755923750049881590808948775912559/356811923176489970264571492362373784095686656 (pow.f32 u2 3)) (*.f32 769670926421494516915515502986651109773209587524738500546832361512900963731225976564573935163606038264335893/10034056444956562863297341416946630365984971827611229916351951172317787582887121035306331169856799878676480 (pow.f32 u2 7)))))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (pow.f32 1 3) (pow.f32 u1 3)))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (+.f32 1 (+.f32 u1 (.f32 u1 u1))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) 1)) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))))
▶	0.6b	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (.f32 (cbrt.f32 (-.f32 1 u1)) (cbrt.f32 (-.f32 1 u1))))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (cbrt.f32 (-.f32 1 u1))))))
	5.3b	(.f32 3537118876014453/562949953421312 (.f32 u2 (sqrt.f32 (/.f32 (.f32 u1 (+.f32 (.f32 u1 u1) (+.f32 u1 1))) (-.f32 1 (pow.f32 u1 3))))))
	0.7b	(.f32 (sqrt.f32 (.f32 (.f32 (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))

Compiler

Compiled 4385 to 3082 computations (29.7% saved)

localize38.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(sin.f32 (*.f32 3537118876014453/562949953421312 u2))
0.3b	(*.f32 3537118876014453/562949953421312 u2)
0.3b	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
0.4b	(.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))

rewrite360.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

107×	`sqrt-prod_binary32`
60×	`add-sqr-sqrt_binary32`
49×	`*-un-lft-identity_binary32`
37×	`times-frac_binary32`
36×	`associate-l_binary32`

Counts

4 → 122

Calls

4 calls:

24.0ms	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
16.0ms	(.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
3.0ms	(*.f32 3537118876014453/562949953421312 u2)
2.0ms	(sin.f32 (*.f32 3537118876014453/562949953421312 u2))

Compiler

Compiled 3163 to 2355 computations (25.5% saved)

series188.0ms (1.1%)

Error

0.0b

Counts

4 → 30

Calls

4 calls:

66.0ms	(.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))))
37.0ms	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
17.0ms	(sin.f32 (*.f32 3537118876014453/562949953421312 u2))
12.0ms	(*.f32 3537118876014453/562949953421312 u2)

Compiler

Compiled 1799 to 1419 computations (21.1% saved)

simplify161.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

405×	`cancel-sign-sub-inv_binary32`
362×	`sub-neg_binary32`
315×	`times-frac_binary32`
282×	`associate-r_binary32`
246×	`associate-l_binary32`

Counts

152 → 93

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	308	3719
1	627	3214
2	1712	3140
3	2416	3140
4	4164	3134
5	4921	3134

prune213.0ms (1.2%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Pruned	Kept	Total
New	90	3	93
Fresh	4	5	9
Picked	0	1	1
Done	0	1	1
Total	94	10	104

Error

Counts

104 → 10

Alt Table

Status	Error	Program
▶	0.6b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))
	0.6b	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 (sqrt.f32 1) (sqrt.f32 u1)))))))
	0.7b	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (sqrt.f32 (sqrt.f32 u1)))) (sqrt.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1))))))
	1.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 (.f32 3537118876014453/562949953421312 u2) (.f32 184555513797105975220812469523723946352429416450594620518382428602542406675831/2261564242916331941866620800950935700259179388000792266395655937654553313280 (pow.f32 u2 5))) (+.f32 (.f32 14751212283789755923750049881590808948775912559/356811923176489970264571492362373784095686656 (pow.f32 u2 3)) (*.f32 769670926421494516915515502986651109773209587524738500546832361512900963731225976564573935163606038264335893/10034056444956562863297341416946630365984971827611229916351951172317787582887121035306331169856799878676480 (pow.f32 u2 7)))))
	0.6b	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1))))) (.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1)))))))
✓	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (pow.f32 1 3) (pow.f32 u1 3)))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (+.f32 1 (+.f32 u1 (.f32 u1 u1))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) 1)) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))))
✓	0.6b	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.7b	(.f32 (sqrt.f32 (.f32 (.f32 (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))

Compiler

Compiled 2448 to 1829 computations (25.3% saved)

localize46.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))))
0.3b	(*.f32 3537118876014453/562949953421312 u2)
0.4b	(.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1)))))
0.4b	(/.f32 1 (+.f32 1 (sqrt.f32 u1)))

rewrite392.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

78×	`add-sqr-sqrt_binary32`
77×	`*-un-lft-identity_binary32`
72×	`sqrt-prod_binary32`
58×	`times-frac_binary32`
41×	`add-cube-cbrt_binary32`

Counts

4 → 155

Calls

4 calls:

26.0ms	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))))
17.0ms	(.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1)))))
6.0ms	(/.f32 1 (+.f32 1 (sqrt.f32 u1)))
3.0ms	(*.f32 3537118876014453/562949953421312 u2)

Compiler

Compiled 3785 to 2706 computations (28.5% saved)

series183.0ms (1.1%)

Error

Counts

4 → 24

Calls

4 calls:

70.0ms	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))))
54.0ms	(.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1)))))
13.0ms	(*.f32 3537118876014453/562949953421312 u2)
13.0ms	(/.f32 1 (+.f32 1 (sqrt.f32 u1)))

Compiler

Compiled 1672 to 1268 computations (24.2% saved)

simplify176.0ms (1%)

Algorithm

1×	egg-herbie

Rules

393×	`*-commutative_binary32`
364×	`cancel-sign-sub-inv_binary32`
340×	`associate-/r*_binary32`
336×	`div-sub_binary32`
290×	`associate-/l/_binary32`

Counts

179 → 123

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	248	4046
1	532	3811
2	1471	3675
3	2627	3604
4	4547	3594
5	4979	3594

prune219.0ms (1.3%)

Pruning

10 alts after pruning (7 fresh and 3 done)

	Pruned	Kept	Total
New	122	1	123
Fresh	1	6	7
Picked	0	1	1
Done	0	2	2
Total	123	10	133

Error

Counts

133 → 10

Alt Table

Status	Error	Program
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))))
	0.6b	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 (sqrt.f32 1) (sqrt.f32 u1)))))))
	0.7b	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (sqrt.f32 (sqrt.f32 u1)))) (sqrt.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1))))))
	1.7b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (-.f32 (+.f32 (.f32 3537118876014453/562949953421312 u2) (.f32 184555513797105975220812469523723946352429416450594620518382428602542406675831/2261564242916331941866620800950935700259179388000792266395655937654553313280 (pow.f32 u2 5))) (+.f32 (.f32 14751212283789755923750049881590808948775912559/356811923176489970264571492362373784095686656 (pow.f32 u2 3)) (*.f32 769670926421494516915515502986651109773209587524738500546832361512900963731225976564573935163606038264335893/10034056444956562863297341416946630365984971827611229916351951172317787582887121035306331169856799878676480 (pow.f32 u2 7)))))
	0.6b	(/.f32 (.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sqrt.f32 u1) (sin.f32 (*.f32 3537118876014453/562949953421312 u2)))) (sqrt.f32 (-.f32 1 (sqrt.f32 u1))))
	0.6b	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1))))) (.f32 (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1)))))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 (pow.f32 1 3) (pow.f32 u1 3)))) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (+.f32 1 (+.f32 u1 (.f32 u1 u1))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) 1)) (.f32 (sin.f32 (.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1)))))
	0.6b	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sin.f32 (*.f32 3537118876014453/562949953421312 u2)) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.7b	(.f32 (sqrt.f32 (.f32 (.f32 (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1)))) (/.f32 (cbrt.f32 u1) (cbrt.f32 (-.f32 1 u1))))) (sin.f32 (.f32 3537118876014453/562949953421312 u2)))

Compiler

Compiled 2444 to 1760 computations (28% saved)

regimes10.8s (62.6%)

Accuracy

Total 0.4b remaining (79.9%)

Threshold costs 0.4b (79.9%)

Compiler

Compiled 113663 to 88470 computations (22.2% 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	29
1	21	29
2	25	29
3	27	29
4	28	29
5	27	29

end2.0ms (0%)

Compiler: Compiled 21 to 18 computations (14.3% saved)

sample2.1s (12.1%)

Algorithm

1×

intervals

Results

683.0ms	8000×	body	128	valid
252.0ms	8000×	pre	128	true
0.0ms	6×	pre	128	false

Compiler

Compiled 333 to 258 computations (22.5% saved)

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	26	17
4	32	17
5	40	17
6	49	17
7	63	17
8	70	17
9	73	17
10	74	17
11	54	17

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	26	17
4	32	17
5	40	17
6	49	17
7	63	17
8	70	17
9	73	17
10	74	17
11	54	17

Details

analyze334.0ms (1.9%)

sample50.0ms (0.3%)

simplify11.0ms (0.1%)

prune3.0ms (0%)

localize25.0ms (0.1%)

rewrite237.0ms (1.4%)

series99.0ms (0.6%)

simplify141.0ms (0.8%)

prune164.0ms (0.9%)

localize56.0ms (0.3%)

rewrite440.0ms (2.5%)

series210.0ms (1.2%)

simplify290.0ms (1.7%)

prune337.0ms (1.9%)

localize38.0ms (0.2%)

rewrite360.0ms (2.1%)

series188.0ms (1.1%)

simplify161.0ms (0.9%)

prune213.0ms (1.2%)

localize46.0ms (0.3%)

rewrite392.0ms (2.3%)

series183.0ms (1.1%)

simplify176.0ms (1%)

prune219.0ms (1.3%)

regimes10.8s (62.6%)

simplify4.0ms (0%)

end2.0ms (0%)

sample2.1s (12.1%)

Profiling

Iter	Nodes	Cost
0	11	17
1	17	17
2	21	17
3	26	17
4	32	17
5	40	17
6	49	17
7	63	17
8	70	17
9	73	17
10	74	17
11	54	17