Details

analyze386.0ms (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)

sample2.0s (18.6%)

Results

2.0s	8256×	body	128	valid
1.0ms	5×	body	128	invalid

Compiler

Compiled 88 to 67 computations (23.9% 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

0.6b

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)

localize28.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series30.0ms (0.3%)

Counts

4 → 28

Calls

4 calls:

25.0ms	(.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)

rewrite29.0ms (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:

12.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 314159265359/50000000000 u2)))
5.0ms	(/.f32 u1 (-.f32 1 u1))
3.0ms	(*.f32 314159265359/50000000000 u2)
3.0ms	(sin.f32 (*.f32 314159265359/50000000000 u2))

simplify106.0ms (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

prune218.0ms (2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	180	9	189
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	181	9	190

Error

0.0b

Counts

190 → 9

Alt Table

Status	Error	Program
	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 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (*.f32 314159265359/50000000000 (sqrt.f32 u2)) (sqrt.f32 u2))))
	0.6b	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	1.4b	(.f32 (sqrt.f32 (exp.f32 (-.f32 (log.f32 u1) (log.f32 (-.f32 1 u1))))) (sin.f32 (.f32 314159265359/50000000000 u2)))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (.f32 (cbrt.f32 314159265359/50000000000) u2))))
	2.1b	(-.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)))))))
	0.6b	(.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))))
	0.9b	(.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)))) (sin.f32 (.f32 314159265359/50000000000 u2))))
	0.9b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (.f32 314159265359/50000000000 (.f32 (cbrt.f32 u2) (cbrt.f32 u2))) (cbrt.f32 u2))))

Compiler

Compiled 4228 to 3088 computations (27% saved)

localize42.0ms (0.4%)

Local error

Found 4 expressions with local error:

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

series51.0ms (0.5%)

Counts

3 → 44

Calls

3 calls:

31.0ms

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

13.0ms

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

8.0ms

(sin.f32 (*.f32 (*.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (*.f32 (cbrt.f32 314159265359/50000000000) u2)))

rewrite32.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-sqr-sqrt_binary32`
28×	`associate-l_binary32`
26×	`sqrt-prod_binary32`
24×	`*-un-lft-identity_binary32`
19×	`times-frac_binary32`

Counts

3 → 80

Calls

3 calls:

13.0ms

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

11.0ms

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

2.0ms

(sin.f32 (*.f32 (*.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (*.f32 (cbrt.f32 314159265359/50000000000) u2)))

simplify99.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

586×	`fma-neg_binary32`
426×	`fma-def_binary32`
352×	`*-commutative_binary32`
299×	`associate-/r*_binary32`
265×	`sub-neg_binary32`

Counts

124 → 146

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	209	2264
1	463	2106
2	1404	1994
3	3743	1994
4	4968	1994

prune245.0ms (2.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	201	8	209
Fresh	6	2	8
Picked	1	0	1
Done	0	0	0
Total	208	10	218

Error

0.0b

Counts

218 → 10

Alt Table

Status	Error	Program
	0.8b	(.f32 (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	1.3b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (.f32 (cbrt.f32 314159265359/50000000000) u2))))
	0.8b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (sin.f32 (.f32 (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (.f32 (cbrt.f32 314159265359/50000000000) u2)))))
	2.1b	(-.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)))))))
	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (.f32 (.f32 (cbrt.f32 314159265359/50000000000) u2) (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)))))
	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)))) (sin.f32 (.f32 (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (.f32 (cbrt.f32 314159265359/50000000000) u2)))))
▶	0.5b	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (.f32 (.f32 (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000))) (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000))) (.f32 314159265359/50000000000 (.f32 (.f32 u2 u2) u2))))))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))))
	0.6b	(/.f32 (.f32 (sqrt.f32 u1) (sin.f32 (.f32 314159265359/50000000000 u2))) (sqrt.f32 (-.f32 1 u1)))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (sqrt.f32 (-.f32 1 u1)))) (.f32 (sqrt.f32 (/.f32 u1 (sqrt.f32 (-.f32 1 u1)))) (sin.f32 (.f32 (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (*.f32 (cbrt.f32 314159265359/50000000000) u2)))))

Compiler

Compiled 5787 to 4579 computations (20.9% saved)

localize69.0ms (0.6%)

Local error

Found 4 expressions with local error:

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

series63.0ms (0.6%)

Counts

4 → 56

Calls

4 calls:

37.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (.f32 (.f32 (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000))) (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000))) (.f32 314159265359/50000000000 (.f32 (.f32 u2 u2) u2))))))
21.0ms	(.f32 (.f32 (.f32 (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000))) (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000))) (.f32 314159265359/50000000000 (.f32 (*.f32 u2 u2) u2)))
3.0ms	(.f32 314159265359/50000000000 (.f32 (*.f32 u2 u2) u2))
3.0ms	(.f32 (.f32 u2 u2) u2)

rewrite168.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

312×	`pow1_binary32`
298×	`add-exp-log_binary32`
244×	`cbrt-unprod_binary32`
244×	`prod-exp_binary32`
244×	`pow-prod-down_binary32`

Counts

4 → 245

Calls

4 calls:

84.0ms	(.f32 (.f32 (.f32 (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000))) (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000))) (.f32 314159265359/50000000000 (.f32 (*.f32 u2 u2) u2)))
18.0ms	(.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (sin.f32 (cbrt.f32 (.f32 (.f32 (.f32 (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000))) (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000))) (.f32 314159265359/50000000000 (.f32 (.f32 u2 u2) u2))))))
6.0ms	(.f32 314159265359/50000000000 (.f32 (*.f32 u2 u2) u2))
5.0ms	(.f32 (.f32 u2 u2) u2)

simplify198.0ms (1.8%)

Algorithm

1×	egg-herbie

Rules

445×	`fma-neg_binary32`
408×	`fma-def_binary32`
398×	`associate-l_binary32`
330×	`associate-r_binary32`
299×	`associate-/r*_binary32`

Counts

301 → 254

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	350	10380
1	635	3835
2	1922	3714
3	4704	3714
4	4942	3714

prune396.0ms (3.6%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	250	4	254
Fresh	5	4	9
Picked	1	0	1
Done	0	0	0
Total	256	8	264

Error

0.0b

Counts

264 → 8

Alt Table

Status	Error	Program
	0.8b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (sin.f32 (.f32 (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (.f32 (cbrt.f32 314159265359/50000000000) u2)))))
	2.1b	(-.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)))))))
	0.5b	(.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 (cbrt.f32 (.f32 (.f32 (.f32 (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000))) (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000))) (.f32 314159265359/50000000000 (.f32 (.f32 u2 u2) u2)))))))
	1.3b	(.f32 (sqrt.f32 (exp.f32 (log.f32 (/.f32 u1 (-.f32 1 u1))))) (sin.f32 (.f32 (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (.f32 (cbrt.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 (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
▶	0.5b	(/.f32 (.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))

Compiler

Compiled 11053 to 8660 computations (21.7% saved)

localize46.0ms (0.4%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(sqrt.f32 (-.f32 1 u1))
✓	0.2b	(/.f32 (.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
✓	0.3b	(*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)
✓	0.3b	(.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))) (sqrt.f32 u1))

series90.0ms (0.8%)

Counts

4 → 44

Calls

4 calls:

52.0ms	(/.f32 (.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
28.0ms	(.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))) (sqrt.f32 u1))
7.0ms	(sqrt.f32 (-.f32 1 u1))
3.0ms	(*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)

rewrite29.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`add-sqr-sqrt_binary32`
25×	`*-un-lft-identity_binary32`
22×	`sqrt-prod_binary32`
16×	`add-cube-cbrt_binary32`
16×	`add-exp-log_binary32`

Counts

4 → 114

Calls

4 calls:

8.0ms	(/.f32 (.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
5.0ms	(.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))) (sqrt.f32 u1))
4.0ms	(*.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000)
4.0ms	(sqrt.f32 (-.f32 1 u1))

simplify149.0ms (1.4%)

Algorithm

1×	egg-herbie

Rules

832×	`times-frac_binary32`
524×	`fma-def_binary32`
283×	`cancel-sign-sub-inv_binary32`
227×	`associate-l_binary32`
198×	`associate-r_binary32`

Counts

158 → 196

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	258	3223
1	614	2948
2	2250	2916
3	4629	2876
4	4929	2876
5	4958	2876

prune271.0ms (2.5%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	194	2	196
Fresh	1	6	7
Picked	0	1	1
Done	0	0	0
Total	195	9	204

Error

0.0b

Counts

204 → 9

Alt Table

Status	Error	Program
	0.7b	(/.f32 (/.f32 (.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))) (sqrt.f32 u1)) (*.f32 (cbrt.f32 (sqrt.f32 (-.f32 1 u1))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))) (cbrt.f32 (sqrt.f32 (-.f32 1 u1))))
	0.5b	(.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 (cbrt.f32 (.f32 (.f32 (.f32 (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000))) (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000))) (.f32 314159265359/50000000000 (.f32 (.f32 u2 u2) u2)))))))
	0.8b	(/.f32 (.f32 (.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))) (.f32 (cbrt.f32 (sqrt.f32 u1)) (cbrt.f32 (sqrt.f32 u1)))) (cbrt.f32 (sqrt.f32 u1))) (sqrt.f32 (-.f32 1 u1)))
	0.9b	(.f32 (.f32 (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1)))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))) (.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))) (cbrt.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))))))
	0.8b	(.f32 (.f32 (sqrt.f32 (/.f32 u1 (-.f32 1 u1))) (.f32 (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))) (cbrt.f32 (sin.f32 (.f32 314159265359/50000000000 u2))))) (cbrt.f32 (sin.f32 (.f32 (.f32 (cbrt.f32 314159265359/50000000000) (cbrt.f32 314159265359/50000000000)) (.f32 (cbrt.f32 314159265359/50000000000) u2)))))
	2.1b	(-.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)))))))
✓	0.5b	(/.f32 (.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))) (sqrt.f32 u1)) (sqrt.f32 (-.f32 1 u1)))
	0.6b	(.f32 (sqrt.f32 (/.f32 1 (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (*.f32 314159265359/50000000000 u2)) (sqrt.f32 (/.f32 u1 (-.f32 1 (sqrt.f32 u1))))))
	0.7b	(.f32 (sqrt.f32 (/.f32 (.f32 (cbrt.f32 u1) (cbrt.f32 u1)) (+.f32 1 (sqrt.f32 u1)))) (.f32 (sin.f32 (cbrt.f32 (.f32 (pow.f32 u2 3) 31006276680305942139213528068663279/125000000000000000000000000000000))) (sqrt.f32 (/.f32 (cbrt.f32 u1) (-.f32 1 (sqrt.f32 u1))))))

Compiler

Compiled 4869 to 3702 computations (24% saved)

regimes5.8s (53.6%)

Accuracy

Total 0.4b remaining (86.6%)

Threshold costs 0.4b (86.6%)

Counts

454 → 1

Compiler

Compiled 102299 to 82660 computations (19.2% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Rules

4×	`*-commutative_binary32`
2×	`+-commutative_binary32`
2×	`sub-neg_binary32`
1×	`*-lft-identity_binary32`
1×	`neg-sub0_binary32`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	22
1	23	22
2	27	22
3	29	22
4	30	22
5	28	22

end283.0ms (2.6%)

Compiler: Compiled 335 to 267 computations (20.3% 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

analyze386.0ms (3.5%)

sample2.0s (18.6%)

simplify8.0ms (0.1%)

prune2.0ms (0%)

localize28.0ms (0.3%)

series30.0ms (0.3%)

rewrite29.0ms (0.3%)

simplify106.0ms (1%)

prune218.0ms (2%)

localize42.0ms (0.4%)

series51.0ms (0.5%)

rewrite32.0ms (0.3%)

simplify99.0ms (0.9%)

prune245.0ms (2.2%)

localize69.0ms (0.6%)

series63.0ms (0.6%)

rewrite168.0ms (1.5%)

simplify198.0ms (1.8%)

prune396.0ms (3.6%)

localize46.0ms (0.4%)

series90.0ms (0.8%)

rewrite29.0ms (0.3%)

simplify149.0ms (1.4%)

prune271.0ms (2.5%)

regimes5.8s (53.6%)

simplify3.0ms (0%)

end283.0ms (2.6%)

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