Details

analyze150.0ms (2.6%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	50%	50%	4
0%	50%	50%	5
12.5%	37.5%	50%	6
18.7%	31.2%	50%	7
28.1%	21.9%	50%	8
32.8%	17.2%	50%	9
38.2%	11.7%	50%	10
41%	9%	50%	11
43.9%	6%	50%	12
45.4%	4.6%	50%	13
46.9%	3.1%	50%	14

Compiler

Compiled 31 to 22 computations (29% saved)

sample1.2s (21.6%)

Results

1.2s	8256×	body	128	valid
2.0ms	16×	body	128	invalid

Compiler

Compiled 92 to 65 computations (29.3% saved)

simplify32.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

826×	`times-frac_binary64`
592×	`fma-def_binary64`
509×	`associate-/r*_binary64`
353×	`associate-/l*_binary64`
343×	`div-sub_binary64`

Counts

1 → 2

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	20	43
1	58	43
2	179	38
3	824	36
4	3882	36
5	5029	36

prune8.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	1	1	2
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	2	3

Error

0.4b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))

Compiler

Compiled 114 to 77 computations (32.5% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 5 (.f64 v v))
✓	0.2b	(*.f64 (PI.f64) t)
✓	0.3b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
✓	0.4b	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

series160.0ms (2.8%)

Counts

4 → 60

Calls

4 calls:

129.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
27.0ms	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
2.0ms	(.f64 5 (.f64 v v))
2.0ms	(*.f64 (PI.f64) t)

rewrite37.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

30×	`add-cbrt-cube_binary64`
30×	`add-exp-log_binary64`
18×	`associate-*r/_binary64`
16×	`pow1_binary64`
13×	`add-sqr-sqrt_binary64`

Counts

4 → 102

Calls

4 calls:

15.0ms	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
7.0ms	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
4.0ms	(.f64 5 (.f64 v v))
3.0ms	(*.f64 (PI.f64) t)

simplify123.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

502×	`associate-l_binary64`
489×	`associate-r_binary64`
436×	`times-frac_binary64`
397×	`associate-/r*_binary64`
215×	`associate-/l*_binary64`

Counts

162 → 195

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	339	5940
1	1042	5332
2	4928	5332
3	4937	5332

prune279.0ms (4.9%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	186	9	195
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	186	10	196

Error

0.1b

Counts

196 → 10

Alt Table

Status	Error	Program
	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (pow.f64 v 2))))) (-.f64 1 (.f64 v v))))
✓	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))
	0.6b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (sqrt.f64 (PI.f64)) (.f64 (sqrt.f64 (PI.f64)) t)) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v))))
	37.7b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (cbrt.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) t) (.f64 (PI.f64) t)) (.f64 (PI.f64) t)) (.f64 (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (-.f64 1 (*.f64 v v))))
	37.8b	(cbrt.f64 (/.f64 (.f64 (.f64 (-.f64 1 (.f64 5 (.f64 v v))) (-.f64 1 (.f64 5 (.f64 v v)))) (-.f64 1 (.f64 5 (.f64 v v)))) (.f64 (.f64 (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v)))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))))
	1.4b	(.f64 (.f64 (cbrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v))))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v)))))) (cbrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))))
	29.5b	(log1p.f64 (expm1.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))))
	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (.f64 (PI.f64) t) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
▶	0.3b	(.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 (sqrt.f64 2) (-.f64 (PI.f64) (.f64 (.f64 v v) (PI.f64)))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (*.f64 v v))))))
	35.8b	(.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v))))) (sqrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v))))))

Compiler

Compiled 9467 to 6179 computations (34.7% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 v v) 5)
✓	0.2b	(.f64 t (.f64 (sqrt.f64 2) (-.f64 (PI.f64) (.f64 (.f64 v v) (PI.f64)))))
✓	0.2b	(.f64 (.f64 v v) (PI.f64))
✓	0.3b	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 (sqrt.f64 2) (-.f64 (PI.f64) (.f64 (.f64 v v) (PI.f64))))))

series105.0ms (1.8%)

Counts

4 → 72

Calls

4 calls:

76.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 (sqrt.f64 2) (-.f64 (PI.f64) (.f64 (.f64 v v) (PI.f64))))))
22.0ms	(.f64 t (.f64 (sqrt.f64 2) (-.f64 (PI.f64) (.f64 (.f64 v v) (PI.f64)))))
4.0ms	(.f64 (.f64 v v) (PI.f64))
2.0ms	(.f64 (.f64 v v) 5)

rewrite36.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-cbrt-cube_binary64`
28×	`add-exp-log_binary64`
20×	`distribute-lft-in_binary64`
20×	`distribute-rgt-in_binary64`
19×	`pow1_binary64`

Counts

4 → 114

Calls

4 calls:

10.0ms	(/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 (sqrt.f64 2) (-.f64 (PI.f64) (.f64 (.f64 v v) (PI.f64))))))
7.0ms	(.f64 t (.f64 (sqrt.f64 2) (-.f64 (PI.f64) (.f64 (.f64 v v) (PI.f64)))))
5.0ms	(.f64 (.f64 v v) 5)
4.0ms	(.f64 (.f64 v v) (PI.f64))

simplify130.0ms (2.3%)

Algorithm

1×	egg-herbie

Rules

670×	`fma-def_binary64`
372×	`cancel-sign-sub-inv_binary64`
350×	`associate-l_binary64`
318×	`associate-r_binary64`
244×	`exp-prod_binary64`

Counts

186 → 182

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	254	4921
1	643	4198
2	2726	3888
3	4819	3888
4	5065	3888

prune371.0ms (6.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	176	6	182
Fresh	6	2	8
Picked	1	0	1
Done	1	0	1
Total	184	8	192

Error

Counts

192 → 8

Alt Table

Status	Error	Program
	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (.f64 (PI.f64) t) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
	0.3b	(.f64 (/.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) t) (.f64 (sqrt.f64 2) (-.f64 (PI.f64) (.f64 (.f64 v v) (PI.f64))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (*.f64 v v))))))
	0.3b	(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (/.f64 (.f64 t (.f64 (sqrt.f64 2) (-.f64 (PI.f64) (.f64 (.f64 v v) (PI.f64))))) (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (*.f64 v v))))))
	37.8b	(.f64 (cbrt.f64 (/.f64 (.f64 (.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (-.f64 1 (.f64 (.f64 v v) 5))) (-.f64 1 (.f64 (.f64 v v) 5))) (.f64 (.f64 (.f64 t t) t) (.f64 (.f64 (.f64 (sqrt.f64 2) (-.f64 (PI.f64) (.f64 (.f64 v v) (PI.f64)))) (.f64 (sqrt.f64 2) (-.f64 (PI.f64) (.f64 (.f64 v v) (PI.f64))))) (.f64 (sqrt.f64 2) (-.f64 (PI.f64) (.f64 (.f64 v v) (PI.f64)))))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (*.f64 v v))))))
▶	0.3b	(.f64 (.f64 (/.f64 1 t) (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (*.f64 v v))))))
	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (pow.f64 v 2))))) (-.f64 1 (.f64 v v))))
	0.3b	(.f64 (.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 (sqrt.f64 2) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (.f64 v v) (PI.f64)) (.f64 (.f64 v v) (PI.f64))))))) (+.f64 (PI.f64) (.f64 (.f64 v v) (PI.f64)))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (.f64 v v))))))
	0.4b	(.f64 (.f64 (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 t (.f64 (sqrt.f64 2) (-.f64 (pow.f64 (PI.f64) 3) (.f64 (pow.f64 v 6) (pow.f64 (PI.f64) 3)))))) (+.f64 (.f64 (PI.f64) (PI.f64)) (+.f64 (.f64 (.f64 (.f64 v v) (PI.f64)) (.f64 (.f64 v v) (PI.f64))) (.f64 (PI.f64) (.f64 (.f64 v v) (PI.f64)))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (*.f64 v v))))))

Compiler

Compiled 8059 to 4739 computations (41.2% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.0b	(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2))))
✓	0.0b	(sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (.f64 v v)))))
✓	0.2b	(.f64 3 (.f64 v v))
✓	0.3b	(.f64 (/.f64 1 t) (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2)))))

series111.0ms (1.9%)

Counts

4 → 60

Calls

4 calls:

96.0ms	(.f64 (/.f64 1 t) (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2)))))
8.0ms	(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2))))
5.0ms	(sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (.f64 v v)))))
2.0ms	(.f64 3 (.f64 v v))

rewrite39.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

78×	`add-exp-log_binary64`
50×	`add-cbrt-cube_binary64`
35×	`add-sqr-sqrt_binary64`
34×	`prod-exp_binary64`
28×	`times-frac_binary64`

Counts

4 → 139

Calls

4 calls:

13.0ms	(.f64 (/.f64 1 t) (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2)))))
5.0ms	(/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (fma.f64 v (neg.f64 v) 1) (*.f64 (PI.f64) (sqrt.f64 2))))
4.0ms	(.f64 3 (.f64 v v))
4.0ms	(sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (.f64 v v)))))

simplify184.0ms (3.2%)

Algorithm

1×	egg-herbie

Rules

763×	`fma-def_binary64`
287×	`associate-/r*_binary64`
273×	`associate-r_binary64`
263×	`associate-l_binary64`
260×	`cancel-sign-sub-inv_binary64`

Counts

199 → 261

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	345	6236
1	892	5283
2	3295	5183
3	4884	5179
4	4922	5179

prune384.0ms (6.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	260	1	261
Fresh	3	4	7
Picked	0	1	1
Done	0	0	0
Total	263	6	269

Error

Counts

269 → 6

Alt Table

Status	Error	Program
▶	0.1b	(.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) t) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (*.f64 v v))))))
✓	0.3b	(.f64 (.f64 (/.f64 1 t) (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (*.f64 v v))))))
	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (pow.f64 v 2))))) (-.f64 1 (.f64 v v))))
	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (.f64 (PI.f64) t) (.f64 (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))))) (cbrt.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) (-.f64 1 (*.f64 v v))))
	0.3b	(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (/.f64 (.f64 t (.f64 (sqrt.f64 2) (-.f64 (PI.f64) (.f64 (.f64 v v) (PI.f64))))) (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (*.f64 v v))))))
	0.3b	(.f64 (.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 (sqrt.f64 2) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (.f64 v v) (PI.f64)) (.f64 (.f64 v v) (PI.f64))))))) (+.f64 (PI.f64) (.f64 (.f64 v v) (PI.f64)))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (.f64 v v))))))

Compiler

Compiled 11421 to 7881 computations (31% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
	0.0b	(sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (.f64 v v)))))
✓	0.0b	(.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))
✓	0.1b	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) t)
	0.2b	(.f64 3 (.f64 v v))

series76.0ms (1.3%)

Counts

2 → 36

Calls

2 calls:

72.0ms	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) t)
4.0ms	(.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

39×	`times-frac_binary64`
30×	`add-sqr-sqrt_binary64`
26×	`*-un-lft-identity_binary64`
25×	`add-cube-cbrt_binary64`
18×	`associate-*r/_binary64`

Counts

2 → 98

Calls

2 calls:

9.0ms	(/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) t)
8.0ms	(.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))

simplify98.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

425×	`distribute-rgt-in_binary64`
403×	`distribute-lft-in_binary64`
369×	`fma-def_binary64`
229×	`associate-/r*_binary64`
226×	`associate-r_binary64`

Counts

134 → 163

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	255	4465
1	629	3959
2	2279	3903
3	4949	3903

prune408.0ms (7.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	261	1	262
Fresh	1	3	4
Picked	0	1	1
Done	0	1	1
Total	262	6	268

Error

Counts

268 → 6

Alt Table

Status	Error	Program
✓	0.1b	(.f64 (/.f64 (/.f64 (fma.f64 v (.f64 v -5) 1) (.f64 (PI.f64) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v))))) t) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (*.f64 v v))))))
✓	0.3b	(.f64 (.f64 (/.f64 1 t) (/.f64 (fma.f64 (.f64 v v) -5 1) (.f64 (fma.f64 v (neg.f64 v) 1) (.f64 (PI.f64) (sqrt.f64 2))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (*.f64 v v))))))
	0.4b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) (.f64 t (sqrt.f64 2))) (sqrt.f64 (-.f64 1 (.f64 3 (pow.f64 v 2))))) (-.f64 1 (.f64 v v))))
	0.3b	(.f64 (/.f64 (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))) (/.f64 (.f64 t (.f64 (sqrt.f64 2) (-.f64 (PI.f64) (.f64 (.f64 v v) (PI.f64))))) (sqrt.f64 (-.f64 1 (.f64 (.f64 v v) 5))))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (*.f64 v v))))))
	0.3b	(.f64 (.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 t (.f64 (sqrt.f64 2) (-.f64 (.f64 (PI.f64) (PI.f64)) (.f64 (.f64 (.f64 v v) (PI.f64)) (.f64 (.f64 v v) (PI.f64))))))) (+.f64 (PI.f64) (.f64 (.f64 v v) (PI.f64)))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (.f64 v v))))))
	0.3b	(.f64 (.f64 (/.f64 (/.f64 (.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) (cbrt.f64 (fma.f64 v (.f64 v -5) 1))) (PI.f64)) 1) (/.f64 (/.f64 (cbrt.f64 (fma.f64 v (.f64 v -5) 1)) (.f64 (sqrt.f64 2) (-.f64 1 (.f64 v v)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (.f64 v v))))))

Compiler

Compiled 10831 to 7421 computations (31.5% saved)

regimes1.5s (26.4%)

Accuracy

Total 0.1b remaining (93.5%)

Threshold costs 0.1b (93.5%)

Counts

207 → 1

Compiler

Compiled 46082 to 32905 computations (28.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

8×	`*-commutative_binary64`
5×	`+-commutative_binary64`
5×	`sub-neg_binary64`
3×	`distribute-rgt-neg-in_binary64`
3×	`cancel-sign-sub-inv_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	46
1	40	46
2	51	46
3	57	46
4	60	46
5	58	46

end153.0ms (2.7%)

Compiler: Compiled 304 to 218 computations (28.3% saved)

Details

analyze150.0ms (2.6%)

sample1.2s (21.6%)

simplify32.0ms (0.6%)

prune8.0ms (0.1%)

localize13.0ms (0.2%)

series160.0ms (2.8%)

rewrite37.0ms (0.6%)

simplify123.0ms (2.1%)

prune279.0ms (4.9%)

localize16.0ms (0.3%)

series105.0ms (1.8%)

rewrite36.0ms (0.6%)

simplify130.0ms (2.3%)

prune371.0ms (6.5%)

localize17.0ms (0.3%)

series111.0ms (1.9%)

rewrite39.0ms (0.7%)

simplify184.0ms (3.2%)

prune384.0ms (6.7%)

localize17.0ms (0.3%)

series76.0ms (1.3%)

rewrite25.0ms (0.4%)

simplify98.0ms (1.7%)

prune408.0ms (7.1%)

regimes1.5s (26.4%)

simplify3.0ms (0.1%)

end153.0ms (2.7%)

Profiling