Details

analyze162.0ms (3.1%)

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)

sample1.6s (29.7%)

Results

1.5s	8256×	body	128	valid
1.0ms	8×	body	128	invalid

Compiler

Compiled 92 to 65 computations (29.3% saved)

simplify33.0ms (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

prune4.0ms (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)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 3 (.f64 v v))
✓	0.3b	(*.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))))))

series166.0ms (3.2%)

Counts

4 → 60

Calls

4 calls:

133.0ms	(/.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))))
29.0ms	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))
2.0ms	(.f64 3 (.f64 v v))
2.0ms	(*.f64 (PI.f64) t)

rewrite188.0ms (3.6%)

Algorithm

2×	batch-egg-rewrite

Rules

294×	`prod-diff_binary64`
219×	`add-sqr-sqrt_binary64`
210×	`log1p-expm1-u_binary64`
210×	`expm1-log1p-u_binary64`
207×	`add-log-exp_binary64`

Counts

4 → 197

Calls

4 calls:

171.0ms	(.f64 3 (.f64 v v))
171.0ms	(*.f64 (PI.f64) t)
171.0ms	(/.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))))
171.0ms	(.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (*.f64 v v))))))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	77
1	449	77
2	4809	77
3	5436	77
0	0	0
1	0	0

simplify102.0ms (1.9%)

Algorithm

1×	egg-herbie

Rules

714×	`fma-def_binary64`
489×	`cancel-sign-sub-inv_binary64`
418×	`fma-neg_binary64`
387×	`neg-mul-1_binary64`
233×	`distribute-rgt-neg-in_binary64`

Counts

257 → 248

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	158	2796
1	551	2685
2	2469	2586
3	4477	2586
4	5002	2586

prune618.0ms (11.8%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Pruned	Kept	Total
New	239	9	248
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	239	10	249

Error

0.0b

Counts

249 → 10

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))))
	41.8b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) t) 3) (pow.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))) 3/2))) (-.f64 1 (*.f64 v v))))
	41.6b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v)))) 3))
	33.8b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) 2) (-.f64 1 (*.f64 v v))))
▶	0.3b	(.f64 (/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) t)) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
	0.8b	(fma.f64 (/.f64 (.f64 v v) (.f64 (PI.f64) (.f64 t (sqrt.f64 2)))) -5/2 (/.f64 1 (.f64 (PI.f64) (*.f64 t (sqrt.f64 2)))))
	33.8b	(.f64 (/.f64 1 (sqrt.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 1 (.f64 (.f64 v v) 5)) (sqrt.f64 (.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 1 (pow.f64 (cbrt.f64 (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v)))) 2)) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (cbrt.f64 (.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 (PI.f64) t)) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))))
	33.8b	(+.f64 (fma.f64 (sqrt.f64 (/.f64 1 (.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 1 (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (.f64 v v))))) (neg.f64 (.f64 (/.f64 (.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)))) 5))) (fma.f64 (neg.f64 (/.f64 (.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))))) 5 (.f64 (/.f64 (.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)))) 5)))

Compiler

Compiled 24697 to 15380 computations (37.7% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series126.0ms (2.4%)

Counts

4 → 24

Calls

4 calls:

88.0ms	(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (*.f64 (PI.f64) (sqrt.f64 2)))) t))
32.0ms	(.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) t)
3.0ms	(*.f64 3 (pow.f64 v 2))
2.0ms	(*.f64 5 (pow.f64 v 2))

rewrite90.0ms (1.7%)

Algorithm

2×	batch-egg-rewrite

Rules

333×	`log1p-udef_binary64`
191×	`add-sqr-sqrt_binary64`
185×	`log1p-expm1-u_binary64`
185×	`expm1-log1p-u_binary64`
181×	`add-log-exp_binary64`

Counts

4 → 94

Calls

4 calls:

87.0ms	(*.f64 5 (pow.f64 v 2))
87.0ms	(*.f64 3 (pow.f64 v 2))
87.0ms	(.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (.f64 (PI.f64) (sqrt.f64 2)))) t)
87.0ms	(/.f64 (-.f64 1 (.f64 5 (pow.f64 v 2))) (.f64 (-.f64 (.f64 (PI.f64) (sqrt.f64 2)) (.f64 (pow.f64 v 2) (*.f64 (PI.f64) (sqrt.f64 2)))) t))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	18	76
1	398	64
2	4980	64
3	5383	64
0	0	0
1	0	0

simplify60.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

351×	`associate-/r*_binary64`
337×	`distribute-rgt-neg-in_binary64`
335×	`distribute-lft-neg-in_binary64`
312×	`fma-neg_binary64`
274×	`distribute-neg-frac_binary64`

Counts

118 → 113

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	44	824
1	144	751
2	554	725
3	2446	688
4	4817	688
5	5029	688

prune146.0ms (2.8%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	110	3	113
Fresh	4	4	8
Picked	1	0	1
Done	1	0	1
Total	116	7	123

Error

0.0b

Counts

123 → 7

Alt Table

Status	Error	Program
	41.6b	(cbrt.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))))) (-.f64 1 (*.f64 v v)))) 3))
	33.8b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) 2) (-.f64 1 (*.f64 v v))))
▶	0.3b	(.f64 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) (/.f64 1 t)) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
	41.8b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) t) 3) (pow.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))) 3/2))) (-.f64 1 (*.f64 v v))))
	0.4b	(.f64 (pow.f64 (/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v))) (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) t)) -1) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
	33.8b	(.f64 (pow.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v))) t))) 2) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
	0.4b	(.f64 (/.f64 1 (.f64 (PI.f64) t)) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))))

Compiler

Compiled 4836 to 3676 computations (24% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series77.0ms (1.5%)

Counts

3 → 48

Calls

3 calls:

72.0ms	(.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) (/.f64 1 t))
3.0ms	(/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))
2.0ms	(.f64 5 (.f64 v v))

rewrite74.0ms (1.4%)

Algorithm

2×	batch-egg-rewrite

Rules

409×	`log1p-udef_binary64`
236×	`add-sqr-sqrt_binary64`
228×	`log1p-expm1-u_binary64`
228×	`expm1-log1p-u_binary64`
223×	`add-log-exp_binary64`

Counts

3 → 83

Calls

3 calls:

73.0ms	(/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))
73.0ms	(.f64 5 (.f64 v v))
73.0ms	(.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) (/.f64 1 t))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	22	51
1	485	51
2	4814	51
3	5478	51
0	0	0
1	0	0

simplify56.0ms (1.1%)

Algorithm

1×	egg-herbie

Rules

486×	`associate-/r*_binary64`
481×	`fma-neg_binary64`
470×	`distribute-neg-frac_binary64`
374×	`times-frac_binary64`
272×	`fma-def_binary64`

Counts

131 → 117

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	84	1282
1	255	1193
2	936	1150
3	3797	1150
4	5005	1150

prune337.0ms (6.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	129	2	131
Fresh	2	4	6
Picked	0	1	1
Done	0	0	0
Total	131	7	138

Error

0.0b

Counts

138 → 7

Alt Table

Status	Error	Program
	41.9b	(.f64 (cbrt.f64 (/.f64 (pow.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) 3) (pow.f64 t 3))) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
	0.4b	(.f64 (pow.f64 (/.f64 (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v))) (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) t)) -1) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
	33.8b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) 2) (-.f64 1 (*.f64 v v))))
✓	0.3b	(.f64 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) (/.f64 1 t)) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
	41.8b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) t) 3) (pow.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))) 3/2))) (-.f64 1 (*.f64 v v))))
▶	0.1b	(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) t) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
	0.4b	(.f64 (/.f64 1 (.f64 (PI.f64) t)) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))))

Compiler

Compiled 5163 to 3780 computations (26.8% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

series74.0ms (1.4%)

Counts

1 → 24

Calls

1 calls:

74.0ms

(/.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))) t)

rewrite86.0ms (1.6%)

Algorithm

2×	batch-egg-rewrite

Rules

918×	`prod-diff_binary64`
177×	`add-sqr-sqrt_binary64`
169×	`log1p-expm1-u_binary64`
169×	`expm1-log1p-u_binary64`
167×	`add-log-exp_binary64`

Counts

1 → 42

Calls

1 calls:

84.0ms

(/.f64 (/.f64 (-.f64 1 (*.f64 5 (*.f64 v v))) (*.f64 (*.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (*.f64 v v)))) t)

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	31
1	359	31
2	4842	31
3	6701	31
0	0	0
1	0	0

simplify64.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

815×	`fma-neg_binary64`
448×	`associate-/r*_binary64`
420×	`distribute-lft-neg-in_binary64`
415×	`distribute-rgt-neg-in_binary64`
406×	`distribute-neg-frac_binary64`

Counts

66 → 59

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	51	970
1	173	897
2	676	856
3	3023	856
4	4881	856
5	5358	856

prune340.0ms (6.5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	125	1	126
Fresh	2	3	5
Picked	0	1	1
Done	0	1	1
Total	127	6	133

Error

Counts

133 → 6

Alt Table

Status	Error	Program
	33.8b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (pow.f64 (sqrt.f64 (.f64 (.f64 (PI.f64) t) (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))))) 2) (-.f64 1 (*.f64 v v))))
✓	0.3b	(.f64 (.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) (/.f64 1 t)) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
	0.5b	(.f64 (.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v))))) (.f64 (sqrt.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v))))) (/.f64 1 t))) (sqrt.f64 (/.f64 1 (-.f64 1 (.f64 3 (pow.f64 v 2))))))
	41.8b	(/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (cbrt.f64 (.f64 (pow.f64 (.f64 (PI.f64) t) 3) (pow.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v)))) 3/2))) (-.f64 1 (*.f64 v v))))
✓	0.1b	(.f64 (/.f64 (/.f64 (-.f64 1 (.f64 5 (.f64 v v))) (.f64 (.f64 (PI.f64) (sqrt.f64 2)) (-.f64 1 (.f64 v v)))) t) (sqrt.f64 (/.f64 1 (-.f64 1 (*.f64 3 (pow.f64 v 2))))))
	0.4b	(.f64 (/.f64 1 (.f64 (PI.f64) t)) (/.f64 (-.f64 1 (.f64 (.f64 v v) 5)) (.f64 (sqrt.f64 (.f64 2 (-.f64 1 (.f64 3 (.f64 v v))))) (-.f64 1 (*.f64 v v)))))

Compiler

Compiled 4889 to 3500 computations (28.4% saved)

regimes661.0ms (12.6%)

Accuracy

Total 0.1b remaining (90.2%)

Threshold costs 0.1b (90.2%)

Counts

68 → 1

Compiler

Compiled 16951 to 12253 computations (27.7% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	48
1	47	48
2	64	48
3	74	48
4	80	48
5	81	48
6	78	48

end161.0ms (3.1%)

Compiler: Compiled 289 to 220 computations (23.9% saved)

Details

analyze162.0ms (3.1%)

sample1.6s (29.7%)

simplify33.0ms (0.6%)

prune4.0ms (0.1%)

localize16.0ms (0.3%)

series166.0ms (3.2%)

rewrite188.0ms (3.6%)

simplify102.0ms (1.9%)

prune618.0ms (11.8%)

localize17.0ms (0.3%)

series126.0ms (2.4%)

rewrite90.0ms (1.7%)

simplify60.0ms (1.1%)

prune146.0ms (2.8%)

localize17.0ms (0.3%)

series77.0ms (1.5%)

rewrite74.0ms (1.4%)

simplify56.0ms (1.1%)

prune337.0ms (6.4%)

localize18.0ms (0.3%)

series74.0ms (1.4%)

rewrite86.0ms (1.6%)

simplify64.0ms (1.2%)

prune340.0ms (6.5%)

regimes661.0ms (12.6%)

simplify4.0ms (0.1%)

end161.0ms (3.1%)

Profiling