Details

analyze400.0ms (3.5%)

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)

sample80.0ms (0.7%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
13.0ms	256×	pre	128	true

Compiler

Compiled 54 to 42 computations (22.2% 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

0.4b

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)

localize29.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

series32.0ms (0.3%)

Counts

4 → 36

Calls

4 calls:

26.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))
2.0ms	(/.f32 u1 (-.f32 1 u1))
2.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
2.0ms	(*.f32 314159265359/50000000000 u2)

rewrite32.0ms (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)))
8.0ms	(cos.f32 (*.f32 314159265359/50000000000 u2))
4.0ms	(/.f32 u1 (-.f32 1 u1))
3.0ms	(*.f32 314159265359/50000000000 u2)

simplify108.0ms (0.9%)

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 → 194

Iterations

Useful iterations: 2 (0.0ms)

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

prune263.0ms (2.3%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	182	12	194
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	183	12	195

Error

0.1b

Counts

195 → 12

Alt Table

Status	Error	Program
	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)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
▶	0.4b	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.6b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (/.f32 (-.f32 1 u1) (cbrt.f32 u1)))) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.7b	(.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)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	1.0b	(.f32 (.f32 (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 (.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (.f32 314159265359/50000000000 u2)))))
	1.0b	(.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))))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (log.f32 (exp.f32 (cos.f32 (.f32 314159265359/50000000000 u2)))))
	2.1b	(.f32 (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (.f32 314159265359/50000000000 u2)))) (sqrt.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
	14.3b	(.f32 (sqrt.f32 (log.f32 (exp.f32 (/.f32 u1 (-.f32 1 u1))))) (cos.f32 (.f32 314159265359/50000000000 u2)))
	8.7b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 (cbrt.f32 u1) (sqrt.f32 (-.f32 1 u1)))) (cos.f32 (.f32 314159265359/50000000000 u2))))

Compiler

Compiled 4535 to 3326 computations (26.7% saved)

localize53.0ms (0.5%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	0.3b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))
	0.4b	(*.f32 314159265359/50000000000 u2)
✓	0.5b	(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

series22.0ms (0.2%)

Counts

3 → 32

Calls

3 calls:

14.0ms

(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

4.0ms

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

4.0ms

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

rewrite101.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

199×	`add-sqr-sqrt_binary32`
148×	`sqrt-prod_binary32`
129×	`*-un-lft-identity_binary32`
127×	`times-frac_binary32`
66×	`add-cube-cbrt_binary32`

Counts

3 → 250

Calls

3 calls:

28.0ms

(*.f32 (*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

27.0ms

(*.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))

5.0ms

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

simplify156.0ms (1.3%)

Algorithm

1×	egg-herbie

Rules

477×	`fma-def_binary32`
387×	`times-frac_binary32`
313×	`associate-l_binary32`
269×	`associate-r_binary32`
241×	`unswap-sqr_binary32`

Counts

282 → 359

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	360	4801
1	755	4214
2	2565	4118
3	4536	4064
4	4910	4064

prune713.0ms (6.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	419	6	425
Fresh	8	3	11
Picked	1	0	1
Done	0	0	0
Total	428	9	437

Error

0.1b

Counts

437 → 9

Alt Table

Status	Error	Program
	8.7b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.4b	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 u2 (sqrt.f32 314159265359/50000000000)))))))
▶	0.4b	(cbrt.f32 (.f32 (sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.4b	(cbrt.f32 (.f32 (/.f32 (/.f32 (pow.f32 u1 3/2) (-.f32 1 u1)) (sqrt.f32 (-.f32 1 u1))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.4b	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (cbrt.f32 (.f32 (.f32 (.f32 314159265359/50000000000 314159265359/50000000000) 314159265359/50000000000) (.f32 (.f32 u2 u2) u2)))))))
	0.4b	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (.f32 (.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (.f32 314159265359/50000000000 u2))) (cbrt.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)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	0.7b	(.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)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	0.6b	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (log.f32 (exp.f32 (pow.f32 (cos.f32 (.f32 u2 314159265359/50000000000)) 2))) (cos.f32 (.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 18172 to 13601 computations (25.2% saved)

localize48.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f32 (sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	0.2b	(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
	0.4b	(*.f32 314159265359/50000000000 u2)
✓	0.6b	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)

series84.0ms (0.7%)

Counts

2 → 32

Calls

2 calls:

81.0ms

(*.f32 (sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)) (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (cos.f32 (*.f32 314159265359/50000000000 u2))))

3.0ms

(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)

rewrite49.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

81×	`*-un-lft-identity_binary32`
81×	`add-sqr-sqrt_binary32`
72×	`times-frac_binary32`
57×	`associate-l_binary32`
54×	`sqrt-prod_binary32`

Counts

2 → 150

Calls

2 calls:

24.0ms

(*.f32 (sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)) (*.f32 (*.f32 (cos.f32 (*.f32 314159265359/50000000000 u2)) (cos.f32 (*.f32 314159265359/50000000000 u2))) (cos.f32 (*.f32 314159265359/50000000000 u2))))

6.0ms

(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)

simplify137.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

510×	`fma-def_binary32`
249×	`associate-r_binary32`
228×	`log-prod_binary32`
218×	`associate-l_binary32`
185×	`sqr-pow_binary32`

Counts

182 → 179

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	297	4619
1	848	4254
2	3063	4060
3	4657	4060
4	4948	4060

prune551.0ms (4.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	291	4	295
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	295	9	304

Error

0.1b

Counts

304 → 9

Alt Table

Status	Error	Program
	2.9b	(cbrt.f32 (.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 (cbrt.f32 3) (cbrt.f32 3))) (cbrt.f32 3))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
	0.4b	(cbrt.f32 (.f32 (.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (cbrt.f32 (.f32 (.f32 (.f32 314159265359/50000000000 314159265359/50000000000) 314159265359/50000000000) (.f32 (.f32 u2 u2) u2)))))))
	0.4b	(cbrt.f32 (.f32 (sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (.f32 (.f32 (cbrt.f32 (.f32 314159265359/50000000000 u2)) (cbrt.f32 (.f32 314159265359/50000000000 u2))) (cbrt.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)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	0.4b	(cbrt.f32 (.f32 (/.f32 (/.f32 (pow.f32 u1 3/2) (-.f32 1 u1)) (sqrt.f32 (-.f32 1 u1))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	0.7b	(.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)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
▶	0.3b	(cbrt.f32 (.f32 (sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 u2 (sqrt.f32 314159265359/50000000000)))))))
	8.7b	(.f32 (sqrt.f32 u1) (cos.f32 (.f32 314159265359/50000000000 u2)))
	0.5b	(cbrt.f32 (.f32 (sqrt.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1))) 3) (pow.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))) 3))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 9785 to 7747 computations (20.8% saved)

localize65.0ms (0.6%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.2b	(.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (*.f32 314159265359/50000000000 u2)))
✓	0.3b	(.f32 (sqrt.f32 314159265359/50000000000) (.f32 u2 (sqrt.f32 314159265359/50000000000)))
	0.4b	(*.f32 314159265359/50000000000 u2)
	0.6b	(pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)

series10.0ms (0.1%)

Counts

1 → 12

Calls

1 calls:

10.0ms

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

rewrite7.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`associate-l_binary32`
6×	`add-cbrt-cube_binary32`
6×	`add-exp-log_binary32`
6×	`pow1_binary32`
3×	`sqrt-prod_binary32`

Counts

1 → 23

Calls

1 calls:

5.0ms

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

simplify143.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

578×	`fma-def_binary32`
455×	`associate-/l/_binary32`
340×	`associate-/r/_binary32`
321×	`unswap-sqr_binary32`
318×	`associate-/l*_binary32`

Counts

35 → 34

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	41	336
1	89	211
2	213	211
3	426	203
4	592	203
5	935	203
6	1978	203
7	4472	203
8	4889	203

prune394.0ms (3.4%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	193	5	198
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	197	10	207

Error

0.1b

Counts

207 → 10

Alt Table

Status	Error	Program
	0.3b	(cbrt.f32 (.f32 (sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (.f32 (sqrt.f32 (sqrt.f32 314159265359/50000000000)) (.f32 (sqrt.f32 (sqrt.f32 314159265359/50000000000)) (.f32 u2 (sqrt.f32 314159265359/50000000000))))))))
	0.3b	(cbrt.f32 (.f32 (sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (exp.f32 (+.f32 (log.f32 314159265359/50000000000) (log.f32 u2))))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 u2 (sqrt.f32 314159265359/50000000000)))))))
	0.6b	(cbrt.f32 (.f32 (sqrt.f32 (.f32 (pow.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) 1) 3) (pow.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 u1)) 3))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 u2 (sqrt.f32 314159265359/50000000000)))))))
	0.7b	(.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)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	0.4b	(cbrt.f32 (.f32 (/.f32 (/.f32 (pow.f32 u1 3/2) (-.f32 1 u1)) (sqrt.f32 (-.f32 1 u1))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (.f32 314159265359/50000000000 u2)))))
	2.9b	(cbrt.f32 (.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) (.f32 (cbrt.f32 3) (cbrt.f32 3))) (cbrt.f32 3))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))
	1.7b	(cbrt.f32 (.f32 (sqrt.f32 (pow.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) (sqrt.f32 3)) (sqrt.f32 3))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (*.f32 u2 (sqrt.f32 314159265359/50000000000)))))))
	0.4b	(cbrt.f32 (.f32 (sqrt.f32 (pow.f32 (/.f32 u1 (-.f32 1 u1)) 3)) (.f32 (+.f32 1/2 (.f32 1/2 (cos.f32 (.f32 u2 314159265359/25000000000)))) (cos.f32 (.f32 (sqrt.f32 314159265359/50000000000) (.f32 u2 (sqrt.f32 314159265359/50000000000)))))))
	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)))) (cos.f32 (.f32 314159265359/50000000000 u2))))
	0.5b	(cbrt.f32 (.f32 (sqrt.f32 (.f32 (pow.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1))) 3) (pow.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))) 3))) (.f32 (.f32 (cos.f32 (.f32 314159265359/50000000000 u2)) (cos.f32 (.f32 314159265359/50000000000 u2))) (cos.f32 (*.f32 314159265359/50000000000 u2)))))

Compiler

Compiled 6990 to 5717 computations (18.2% saved)

regimes6.2s (54.1%)

Accuracy

Total 0.2b remaining (76.1%)

Threshold costs 0.2b (76.1%)

Counts

461 → 1

Compiler

Compiled 131481 to 106566 computations (18.9% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

6×	`*-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	21	48
1	30	48
2	34	48
3	36	48
4	37	48
5	36	48

end1.0ms (0%)

Compiler: Compiled 33 to 28 computations (15.2% saved)

sample1.8s (15.6%)

Algorithm

1×

intervals

Results

737.0ms	8000×	body	128	valid
294.0ms	8000×	pre	128	true
0.0ms	6×	pre	128	false

Compiler

Compiled 410 to 334 computations (18.5% 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

analyze400.0ms (3.5%)

sample80.0ms (0.7%)

simplify12.0ms (0.1%)

prune2.0ms (0%)

localize29.0ms (0.2%)

series32.0ms (0.3%)

rewrite32.0ms (0.3%)

simplify108.0ms (0.9%)

prune263.0ms (2.3%)

localize53.0ms (0.5%)

series22.0ms (0.2%)

rewrite101.0ms (0.9%)

simplify156.0ms (1.3%)

prune713.0ms (6.2%)

localize48.0ms (0.4%)

series84.0ms (0.7%)

rewrite49.0ms (0.4%)

simplify137.0ms (1.2%)

prune551.0ms (4.8%)

localize65.0ms (0.6%)

series10.0ms (0.1%)

rewrite7.0ms (0.1%)

simplify143.0ms (1.2%)

prune394.0ms (3.4%)

regimes6.2s (54.1%)

simplify3.0ms (0%)

end1.0ms (0%)

sample1.8s (15.6%)

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