Details

analyze360.0ms (4.5%)

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)

sample74.0ms (0.9%)

Algorithm

1×

intervals

Results

24.0ms	256×	body	128	valid
9.0ms	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

0.4b

Counts

2 → 1

Alt Table

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

series31.0ms (0.4%)

Counts

4 → 36

Calls

4 calls:

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

rewrite25.0ms (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))) (cos.f32 (.f32 314159265359/50000000000 u2)))
4.0ms	(/.f32 u1 (-.f32 1 u1))
3.0ms	(*.f32 314159265359/50000000000 u2)
1.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))

simplify114.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

452×	`associate-l_binary32`
431×	`fma-def_binary32`
378×	`associate-/r*_binary32`
357×	`times-frac_binary32`
249×	`associate-/l*_binary32`

Counts

155 → 211

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	260	2854
1	565	2690
2	1637	2568
3	4598	2568
4	4961	2568

prune289.0ms (3.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	199	12	211
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	200	12	212

Error

0.1b

Counts

212 → 12

Alt Table

Status	Error	Program
	0.7b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) 1)) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (*.f32 314159265359/50000000000 (sqrt.f32 u2)) (sqrt.f32 u2))))
	0.9b	(.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)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
▶	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	4.4b	(-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	8.3b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (expm1.f32 (log1p.f32 (cos.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)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	0.6b	(.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))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	14.1b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))

Compiler

Compiled 4648 to 3425 computations (26.3% saved)

localize37.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series53.0ms (0.7%)

Counts

3 → 44

Calls

3 calls:

39.0ms

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

8.0ms

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

5.0ms

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

rewrite26.0ms (0.3%)

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))) (cos.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

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

simplify170.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

523×	`fma-neg_binary32`
389×	`fma-def_binary32`
330×	`*-commutative_binary32`
299×	`associate-/r*_binary32`
257×	`unswap-sqr_binary32`

Counts

123 → 154

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	212	2277
1	487	2121
2	1411	1968
3	3769	1960
4	4991	1960
5	4934	1960

prune283.0ms (3.5%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	212	3	215
Fresh	3	8	11
Picked	1	0	1
Done	0	0	0
Total	216	11	227

Error

0.1b

Counts

227 → 11

Alt Table

Status	Error	Program
	0.7b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) 1)) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
▶	0.4b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (*.f32 314159265359/50000000000 (sqrt.f32 u2)) (sqrt.f32 u2))))
	0.5b	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))))
	4.4b	(-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	8.3b	(.f32 (sqrt.f32 u1) (cos.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)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	0.9b	(.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)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	0.6b	(.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))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.1b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) (sqrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))

Compiler

Compiled 5343 to 4130 computations (22.7% saved)

localize40.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

series24.0ms (0.3%)

Counts

3 → 16

Calls

3 calls:

13.0ms	(cos.f32 (.f32 (.f32 314159265359/50000000000 (sqrt.f32 u2)) (sqrt.f32 u2)))
7.0ms	(*.f32 314159265359/50000000000 (sqrt.f32 u2))
4.0ms	(.f32 (.f32 314159265359/50000000000 (sqrt.f32 u2)) (sqrt.f32 u2))

rewrite14.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-r_binary32`
12×	`add-sqr-sqrt_binary32`
10×	`add-cbrt-cube_binary32`
10×	`add-exp-log_binary32`
10×	`pow1_binary32`

Counts

3 → 56

Calls

3 calls:

7.0ms	(.f32 (.f32 314159265359/50000000000 (sqrt.f32 u2)) (sqrt.f32 u2))
4.0ms	(*.f32 314159265359/50000000000 (sqrt.f32 u2))
2.0ms	(cos.f32 (.f32 (.f32 314159265359/50000000000 (sqrt.f32 u2)) (sqrt.f32 u2)))

simplify109.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

657×	`fma-neg_binary32`
597×	`distribute-rgt-neg-in_binary32`
477×	`unswap-sqr_binary32`
465×	`distribute-lft-neg-in_binary32`
455×	`cancel-sign-sub-inv_binary32`

Counts

72 → 84

Iterations

Useful iterations: 4 (0.0ms)

Iter	Nodes	Cost
0	88	610
1	182	569
2	461	565
3	949	559
4	1716	547
5	3514	547
6	4541	547
7	4896	547
8	4941	547

prune193.0ms (2.4%)

Pruning

11 alts after pruning (11 fresh and 0 done)

	Pruned	Kept	Total
New	144	1	145
Fresh	0	10	10
Picked	1	0	1
Done	0	0	0
Total	145	11	156

Error

0.1b

Counts

156 → 11

Alt Table

Status	Error	Program
▶	0.5b	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.8b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))))
	4.2b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 (*.f32 314159265359/50000000000 (sqrt.f32 u2)) (sqrt.f32 u2))))
	4.4b	(-.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 98696044010906577398881/5000000000000000000000 (.f32 (pow.f32 u2 2) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	8.3b	(.f32 (sqrt.f32 u1) (cos.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)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) 1)) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	0.9b	(.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)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	0.6b	(.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))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.1b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) (sqrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))

Compiler

Compiled 3425 to 2222 computations (35.1% saved)

localize52.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(cos.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 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 1 (sqrt.f32 u1)))
✓	0.3b	(/.f32 u1 (+.f32 1 (sqrt.f32 u1)))

series49.0ms (0.6%)

Counts

2 → 2

Calls

2 calls:

33.0ms	(/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 1 (sqrt.f32 u1)))
16.0ms	(/.f32 u1 (+.f32 1 (sqrt.f32 u1)))

rewrite56.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

354×	`times-frac_binary32`
336×	`*-un-lft-identity_binary32`
312×	`add-sqr-sqrt_binary32`
124×	`add-cube-cbrt_binary32`
100×	`sqrt-prod_binary32`

Counts

2 → 277

Calls

2 calls:

13.0ms	(/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 1 (sqrt.f32 u1)))
4.0ms	(/.f32 u1 (+.f32 1 (sqrt.f32 u1)))

simplify227.0ms (2.8%)

Algorithm

1×	egg-herbie

Rules

521×	`associate-/r*_binary32`
435×	`associate-/r/_binary32`
321×	`associate-*l/_binary32`
311×	`div-sub_binary32`
282×	`associate-l_binary32`

Counts

279 → 237

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	219	8647
1	541	8480
2	1678	8465
3	4237	8465
4	5087	8465

prune452.0ms (5.6%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	293	4	297
Fresh	2	8	10
Picked	1	0	1
Done	0	0	0
Total	296	12	308

Error

0.0b

Counts

308 → 12

Alt Table

Status	Error	Program
	0.9b	(.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)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	14.0b	(.f32 (sqrt.f32 (/.f32 (log.f32 (exp.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))))) (-.f32 1 (sqrt.f32 u1)))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.5b	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 1 (sqrt.f32 u1)))) (pow.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))) 1))
	0.6b	(.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))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.8b	(.f32 (sqrt.f32 (/.f32 (/.f32 u1 (+.f32 1 (sqrt.f32 u1))) (-.f32 1 (sqrt.f32 u1)))) (log.f32 (exp.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (.f32 (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	4.2b	(.f32 (sqrt.f32 (fma.f32 u1 u1 u1)) (cos.f32 (.f32 (*.f32 314159265359/50000000000 (sqrt.f32 u2)) (sqrt.f32 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)))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	0.8b	(.f32 (sqrt.f32 (.f32 (/.f32 (/.f32 1 (.f32 (cbrt.f32 (+.f32 1 (sqrt.f32 u1))) (cbrt.f32 (+.f32 1 (sqrt.f32 u1))))) (sqrt.f32 (-.f32 1 (sqrt.f32 u1)))) (/.f32 (/.f32 u1 (cbrt.f32 (+.f32 1 (sqrt.f32 u1)))) (sqrt.f32 (-.f32 1 (sqrt.f32 u1)))))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) 1)) (.f32 (sqrt.f32 (/.f32 (sqrt.f32 u1) (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2))))
	8.3b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	2.1b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (cos.f32 (.f32 u2 314159265359/50000000000)))) (sqrt.f32 (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 (sqrt.f32 314159265359/50000000000) u2)))))

Compiler

Compiled 9789 to 6765 computations (30.9% saved)

regimes3.4s (42.8%)

Accuracy

Total 0.2b remaining (73.9%)

Threshold costs 0.2b (73.9%)

Counts

313 → 1

Compiler

Compiled 63654 to 49627 computations (22% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-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	22
1	20	22
2	24	22
3	26	22
4	27	22
5	26	22

end1.0ms (0%)

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

sample1.9s (23.3%)

Algorithm

1×

intervals

Results

779.0ms	8000×	body	128	valid
300.0ms	8000×	pre	128	true
0.0ms	2×	pre	128	false

Compiler

Compiled 364 to 280 computations (23.1% 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

analyze360.0ms (4.5%)

sample74.0ms (0.9%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize28.0ms (0.3%)

series31.0ms (0.4%)

rewrite25.0ms (0.3%)

simplify114.0ms (1.4%)

prune289.0ms (3.6%)

localize37.0ms (0.5%)

series53.0ms (0.7%)

rewrite26.0ms (0.3%)

simplify170.0ms (2.1%)

prune283.0ms (3.5%)

localize40.0ms (0.5%)

series24.0ms (0.3%)

rewrite14.0ms (0.2%)

simplify109.0ms (1.4%)

prune193.0ms (2.4%)

localize52.0ms (0.6%)

series49.0ms (0.6%)

rewrite56.0ms (0.7%)

simplify227.0ms (2.8%)

prune452.0ms (5.6%)

regimes3.4s (42.8%)

simplify5.0ms (0.1%)

end1.0ms (0%)

sample1.9s (23.3%)

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