Details

analyze967.0ms (10.1%)

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%	99.9%	0.1%	4
0%	99.9%	0.1%	5
3.1%	96.8%	0.1%	6
15.6%	81.2%	3.2%	7
23.4%	72.6%	4%	8
32.4%	55.8%	11.8%	9
36.3%	50.9%	12.8%	10
40.7%	41.5%	17.9%	11
42.6%	38.6%	18.8%	12
44.5%	33.5%	22%	13
45.5%	32%	22.5%	14

Compiler

Compiled 18 to 12 computations (33.3% saved)

sample6.5s (68.1%)

Results

2.7s	1790×	body	2048	valid
2.2s	2817×	body	1024	valid
561.0ms	1254×	body	512	valid
277.0ms	1814×	body	128	valid
178.0ms	547×	body	256	valid
163.0ms	187×	body	1024	invalid
146.0ms	264×	body	512	invalid
77.0ms	34×	body	4096	valid
77.0ms	491×	body	128	invalid
57.0ms	161×	body	256	invalid
29.0ms	24×	body	2048	invalid

Compiler

Compiled 36 to 24 computations (33.3% saved)

preprocess26.0ms (0.3%)

Algorithm

2×	egg-herbie

Rules

530×	`times-frac_binary64`
481×	`associate-l_binary64`
456×	`associate-r_binary64`
361×	`associate-/l*_binary64`
242×	`associate-/r*_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	44
1	48	44
2	123	40
3	329	40
4	1050	40
0	2	2

Stop Event

1×	saturated
1×	node limit

Compiler

Compiled 17 to 11 computations (35.3% saved)

simplify20.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

701×	`fma-def_binary64`
558×	`associate-/r/_binary64`
482×	`associate-/r*_binary64`
406×	`associate-/l/_binary64`
237×	`associate-l_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	29	22
2	68	20
3	172	20
4	529	20
5	2360	20

Stop Event

1×	node limit

Counts

1 → 2

prune4.0ms (0%)

Pruning

3 alts after pruning (3 fresh and 0 done)

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

Error

48.8b

Counts

3 → 2

Alt Table

Status	Error	Program
	49.1b	(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
▶	48.9b	(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))

Compiler

Compiled 97 to 63 computations (35.1% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
✓	0.7b	(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)
✓	7.0b	(pow.f64 (+.f64 1 (/.f64 i n)) n)

series140.0ms (1.5%)

Counts

3 → 72

Calls

18 calls:

37.0ms	(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))	n	0
14.0ms	(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)	n	0
13.0ms	(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))	i	-inf
12.0ms	(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))	i	inf
7.0ms	(fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100)	i	-inf

rewrite55.0ms (0.6%)

Algorithm

1×	batch-egg-rewrite

Rules

319×	`prod-diff_binary64`
240×	`fma-def_binary64`
224×	`expm1-udef_binary64`
224×	`log1p-udef_binary64`
129×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	12	44
1	262	44
2	3416	44

Stop Event

1×	node limit

Counts

3 → 64

simplify89.0ms (0.9%)

Algorithm

1×	egg-herbie

Rules

865×	`fma-def_binary64`
370×	`associate-/l*_binary64`
261×	`times-frac_binary64`
238×	`*-commutative_binary64`
233×	`associate-/r*_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	655	5959
1	2429	5814

Stop Event

1×	node limit

Counts

136 → 182

prune205.0ms (2.1%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	171	11	182
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	171	13	184

Error

1.9b

Counts

184 → 13

Alt Table

Status	Error	Program
	50.4b	(-.f64 (.f64 100 (/.f64 (.f64 n (exp.f64 i)) i)) (+.f64 (.f64 100 (/.f64 n i)) (.f64 50 (*.f64 (exp.f64 i) i))))
▶	28.1b	(.f64 n (/.f64 (.f64 100 i) i))
	54.9b	(.f64 n (/.f64 (+.f64 (+.f64 (.f64 (.f64 50 (.f64 n n)) (+.f64 (pow.f64 (log.f64 i) 2) (pow.f64 (log.f64 n) 2))) (.f64 100 (fma.f64 n (log.f64 i) (/.f64 n (/.f64 i n))))) (.f64 -100 (.f64 (log.f64 n) (+.f64 n (.f64 (*.f64 n n) (log.f64 i)))))) i))
✓	48.9b	(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
	55.0b	(.f64 n (/.f64 (.f64 n (*.f64 100 (-.f64 (log.f64 i) (log.f64 n)))) i))
	48.9b	(/.f64 1 (/.f64 i (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100))))
	28.7b	(-.f64 (fma.f64 n 100 (fma.f64 (/.f64 (pow.f64 i 3) n) 275/6 (fma.f64 50 (.f64 i n) (fma.f64 25/6 (.f64 n (pow.f64 i 3)) (fma.f64 (/.f64 i (/.f64 n i)) 100/3 (.f64 50/3 (.f64 (.f64 i i) n))))))) (fma.f64 (pow.f64 i 3) 25 (fma.f64 50 (+.f64 i (.f64 i i)) (*.f64 (/.f64 (pow.f64 i 3) n) (/.f64 25 n)))))
	30.2b	(-.f64 (+.f64 (.f64 100 n) (+.f64 (.f64 275/6 (/.f64 (pow.f64 i 3) n)) (+.f64 (.f64 50 (.f64 n i)) (+.f64 (.f64 25/6 (.f64 n (pow.f64 i 3))) (+.f64 (.f64 50/3 (.f64 n (pow.f64 i 2))) (.f64 100/3 (/.f64 (pow.f64 i 2) n))))))) (+.f64 (.f64 25 (pow.f64 i 3)) (+.f64 (.f64 50 i) (+.f64 (.f64 50 (pow.f64 i 2)) (*.f64 25 (/.f64 (pow.f64 i 3) (pow.f64 n 2)))))))
	49.1b	(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
	28.8b	(fma.f64 n 100 (.f64 i (-.f64 (.f64 50 n) 50)))
	47.9b	(*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i))
	54.9b	(.f64 (/.f64 n (/.f64 i n)) (.f64 100 (-.f64 (log.f64 i) (log.f64 n))))
	55.6b	(/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 100 (log.f64 i)) (*.f64 100 (log.f64 n)))) i)

Compiler

Compiled 9595 to 5991 computations (37.6% saved)

localize4.0ms (0%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(/.f64 (*.f64 100 i) i)

series1.0ms (0%)

Counts

1 → 12

Calls

3 calls:

0.0ms	(/.f64 (*.f64 100 i) i)	i	0
0.0ms	(/.f64 (*.f64 100 i) i)	i	inf
0.0ms	(/.f64 (*.f64 100 i) i)	i	-inf

rewrite28.0ms (0.3%)

Algorithm

1×	batch-egg-rewrite

Rules

485×	`pow1_binary64`
465×	`add-log-exp_binary64`
465×	`log1p-expm1-u_binary64`
465×	`expm1-log1p-u_binary64`
454×	`add-exp-log_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	5	7
1	109	1
2	1465	1

Stop Event

1×	node limit

Counts

1 → 1

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	12

Stop Event

1×

saturated

Counts

13 → 1

prune17.0ms (0.2%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	11	11
Picked	0	1	1
Done	0	1	1
Total	1	13	14

Error

1.9b

Counts

14 → 13

Alt Table

Status	Error	Program
	50.4b	(-.f64 (.f64 100 (/.f64 (.f64 n (exp.f64 i)) i)) (+.f64 (.f64 100 (/.f64 n i)) (.f64 50 (*.f64 (exp.f64 i) i))))
✓	28.1b	(.f64 n (/.f64 (.f64 100 i) i))
	54.9b	(.f64 n (/.f64 (+.f64 (+.f64 (.f64 (.f64 50 (.f64 n n)) (+.f64 (pow.f64 (log.f64 i) 2) (pow.f64 (log.f64 n) 2))) (.f64 100 (fma.f64 n (log.f64 i) (/.f64 n (/.f64 i n))))) (.f64 -100 (.f64 (log.f64 n) (+.f64 n (.f64 (*.f64 n n) (log.f64 i)))))) i))
✓	48.9b	(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
	55.0b	(.f64 n (/.f64 (.f64 n (*.f64 100 (-.f64 (log.f64 i) (log.f64 n)))) i))
	48.9b	(/.f64 1 (/.f64 i (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100))))
▶	28.7b	(-.f64 (fma.f64 n 100 (fma.f64 (/.f64 (pow.f64 i 3) n) 275/6 (fma.f64 50 (.f64 i n) (fma.f64 25/6 (.f64 n (pow.f64 i 3)) (fma.f64 (/.f64 i (/.f64 n i)) 100/3 (.f64 50/3 (.f64 (.f64 i i) n))))))) (fma.f64 (pow.f64 i 3) 25 (fma.f64 50 (+.f64 i (.f64 i i)) (*.f64 (/.f64 (pow.f64 i 3) n) (/.f64 25 n)))))
	30.2b	(-.f64 (+.f64 (.f64 100 n) (+.f64 (.f64 275/6 (/.f64 (pow.f64 i 3) n)) (+.f64 (.f64 50 (.f64 n i)) (+.f64 (.f64 25/6 (.f64 n (pow.f64 i 3))) (+.f64 (.f64 50/3 (.f64 n (pow.f64 i 2))) (.f64 100/3 (/.f64 (pow.f64 i 2) n))))))) (+.f64 (.f64 25 (pow.f64 i 3)) (+.f64 (.f64 50 i) (+.f64 (.f64 50 (pow.f64 i 2)) (*.f64 25 (/.f64 (pow.f64 i 3) (pow.f64 n 2)))))))
	49.1b	(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
	28.8b	(fma.f64 n 100 (.f64 i (-.f64 (.f64 50 n) 50)))
	47.9b	(*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i))
	54.9b	(.f64 (/.f64 n (/.f64 i n)) (.f64 100 (-.f64 (log.f64 i) (log.f64 n))))
	55.6b	(/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 100 (log.f64 i)) (*.f64 100 (log.f64 n)))) i)

Compiler

Compiled 638 to 437 computations (31.5% saved)

localize27.0ms (0.3%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	5.8b	(*.f64 n (pow.f64 i 3))
✓	7.3b	(-.f64 (fma.f64 n 100 (fma.f64 (/.f64 (pow.f64 i 3) n) 275/6 (fma.f64 50 (.f64 i n) (fma.f64 25/6 (.f64 n (pow.f64 i 3)) (fma.f64 (/.f64 i (/.f64 n i)) 100/3 (.f64 50/3 (.f64 (.f64 i i) n))))))) (fma.f64 (pow.f64 i 3) 25 (fma.f64 50 (+.f64 i (.f64 i i)) (*.f64 (/.f64 (pow.f64 i 3) n) (/.f64 25 n)))))
✓	8.3b	(fma.f64 25/6 (.f64 n (pow.f64 i 3)) (fma.f64 (/.f64 i (/.f64 n i)) 100/3 (.f64 50/3 (.f64 (.f64 i i) n))))
✓	9.0b	(.f64 (.f64 i i) n)

series68.0ms (0.7%)

Counts

4 → 72

Calls

24 calls:

7.0ms	(fma.f64 25/6 (.f64 n (pow.f64 i 3)) (fma.f64 (/.f64 i (/.f64 n i)) 100/3 (.f64 50/3 (.f64 (.f64 i i) n))))	n	-inf
7.0ms	(-.f64 (fma.f64 n 100 (fma.f64 (/.f64 (pow.f64 i 3) n) 275/6 (fma.f64 50 (.f64 i n) (fma.f64 25/6 (.f64 n (pow.f64 i 3)) (fma.f64 (/.f64 i (/.f64 n i)) 100/3 (.f64 50/3 (.f64 (.f64 i i) n))))))) (fma.f64 (pow.f64 i 3) 25 (fma.f64 50 (+.f64 i (.f64 i i)) (*.f64 (/.f64 (pow.f64 i 3) n) (/.f64 25 n)))))	n	-inf
6.0ms	(-.f64 (fma.f64 n 100 (fma.f64 (/.f64 (pow.f64 i 3) n) 275/6 (fma.f64 50 (.f64 i n) (fma.f64 25/6 (.f64 n (pow.f64 i 3)) (fma.f64 (/.f64 i (/.f64 n i)) 100/3 (.f64 50/3 (.f64 (.f64 i i) n))))))) (fma.f64 (pow.f64 i 3) 25 (fma.f64 50 (+.f64 i (.f64 i i)) (*.f64 (/.f64 (pow.f64 i 3) n) (/.f64 25 n)))))	n	inf
5.0ms	(-.f64 (fma.f64 n 100 (fma.f64 (/.f64 (pow.f64 i 3) n) 275/6 (fma.f64 50 (.f64 i n) (fma.f64 25/6 (.f64 n (pow.f64 i 3)) (fma.f64 (/.f64 i (/.f64 n i)) 100/3 (.f64 50/3 (.f64 (.f64 i i) n))))))) (fma.f64 (pow.f64 i 3) 25 (fma.f64 50 (+.f64 i (.f64 i i)) (*.f64 (/.f64 (pow.f64 i 3) n) (/.f64 25 n)))))	n	0
5.0ms	(fma.f64 25/6 (.f64 n (pow.f64 i 3)) (fma.f64 (/.f64 i (/.f64 n i)) 100/3 (.f64 50/3 (.f64 (.f64 i i) n))))	n	inf

rewrite42.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

319×	`pow1_binary64`
318×	`add-log-exp_binary64`
318×	`log1p-expm1-u_binary64`
318×	`expm1-log1p-u_binary64`
317×	`add-cube-cbrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	31	127
1	693	127

Stop Event

1×	node limit

Counts

4 → 34

simplify46.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

760×	`fma-def_binary64`
480×	`associate--l+_binary64`
474×	`associate-+l+_binary64`
346×	`cancel-sign-sub-inv_binary64`
344×	`associate--r+_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	88	2093
1	300	2047
2	1185	1726

Stop Event

1×	node limit

Counts

106 → 73

prune120.0ms (1.3%)

Pruning

13 alts after pruning (10 fresh and 3 done)

	Pruned	Kept	Total
New	71	2	73
Fresh	2	8	10
Picked	0	1	1
Done	0	2	2
Total	73	13	86

Error

1.9b

Counts

86 → 13

Alt Table

Status	Error	Program
✓	28.7b	(-.f64 (fma.f64 n 100 (fma.f64 (/.f64 (pow.f64 i 3) n) 275/6 (fma.f64 50 (.f64 i n) (fma.f64 25/6 (.f64 n (pow.f64 i 3)) (fma.f64 (/.f64 i (/.f64 n i)) 100/3 (.f64 50/3 (.f64 (.f64 i i) n))))))) (fma.f64 (pow.f64 i 3) 25 (fma.f64 50 (+.f64 i (.f64 i i)) (*.f64 (/.f64 (pow.f64 i 3) n) (/.f64 25 n)))))
	29.4b	(.f64 (.f64 (cbrt.f64 (-.f64 (fma.f64 n 100 (fma.f64 (/.f64 (pow.f64 i 3) n) 275/6 (fma.f64 50 (.f64 i n) (fma.f64 25/6 (.f64 n (pow.f64 i 3)) (fma.f64 (.f64 (/.f64 i n) i) 100/3 (.f64 (.f64 50/3 (.f64 i i)) n)))))) (fma.f64 (pow.f64 i 3) 25 (fma.f64 50 (+.f64 i (.f64 i i)) (.f64 (/.f64 (pow.f64 i 3) n) (/.f64 25 n)))))) (cbrt.f64 (-.f64 (fma.f64 n 100 (fma.f64 (/.f64 (pow.f64 i 3) n) 275/6 (fma.f64 50 (.f64 i n) (fma.f64 25/6 (.f64 n (pow.f64 i 3)) (fma.f64 (.f64 (/.f64 i n) i) 100/3 (.f64 (.f64 50/3 (.f64 i i)) n)))))) (fma.f64 (pow.f64 i 3) 25 (fma.f64 50 (+.f64 i (.f64 i i)) (.f64 (/.f64 (pow.f64 i 3) n) (/.f64 25 n))))))) (cbrt.f64 (-.f64 (fma.f64 n 100 (fma.f64 (/.f64 (pow.f64 i 3) n) 275/6 (fma.f64 50 (.f64 i n) (fma.f64 25/6 (.f64 n (pow.f64 i 3)) (fma.f64 (.f64 (/.f64 i n) i) 100/3 (.f64 (.f64 50/3 (.f64 i i)) n)))))) (fma.f64 (pow.f64 i 3) 25 (fma.f64 50 (+.f64 i (.f64 i i)) (.f64 (/.f64 (pow.f64 i 3) n) (/.f64 25 n)))))))
	50.4b	(-.f64 (.f64 100 (/.f64 (.f64 n (exp.f64 i)) i)) (+.f64 (.f64 100 (/.f64 n i)) (.f64 50 (*.f64 (exp.f64 i) i))))
✓	28.1b	(.f64 n (/.f64 (.f64 100 i) i))
▶	28.8b	(fma.f64 n 100 (*.f64 i (fma.f64 n 50 -50)))
	54.9b	(.f64 n (/.f64 (+.f64 (+.f64 (.f64 (.f64 50 (.f64 n n)) (+.f64 (pow.f64 (log.f64 i) 2) (pow.f64 (log.f64 n) 2))) (.f64 100 (fma.f64 n (log.f64 i) (/.f64 n (/.f64 i n))))) (.f64 -100 (.f64 (log.f64 n) (+.f64 n (.f64 (*.f64 n n) (log.f64 i)))))) i))
✓	48.9b	(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
	55.0b	(.f64 n (/.f64 (.f64 n (*.f64 100 (-.f64 (log.f64 i) (log.f64 n)))) i))
	48.9b	(/.f64 1 (/.f64 i (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100))))
	49.1b	(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
	47.9b	(*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i))
	54.9b	(.f64 (/.f64 n (/.f64 i n)) (.f64 100 (-.f64 (log.f64 i) (log.f64 n))))
	55.6b	(/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 100 (log.f64 i)) (*.f64 100 (log.f64 n)))) i)

Compiler

Compiled 4954 to 2975 computations (39.9% saved)

localize5.0ms (0.1%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.0b	(fma.f64 n 100 (*.f64 i (fma.f64 n 50 -50)))
✓	0.0b	(fma.f64 n 50 -50)
✓	0.2b	(*.f64 i (fma.f64 n 50 -50))

series15.0ms (0.2%)

Counts

3 → 60

Calls

15 calls:

3.0ms	(*.f64 i (fma.f64 n 50 -50))	n	-inf
1.0ms	(*.f64 i (fma.f64 n 50 -50))	i	-inf
1.0ms	(fma.f64 n 100 (*.f64 i (fma.f64 n 50 -50)))	i	-inf
1.0ms	(*.f64 i (fma.f64 n 50 -50))	i	0
1.0ms	(*.f64 i (fma.f64 n 50 -50))	i	inf

rewrite42.0ms (0.4%)

Algorithm

1×	batch-egg-rewrite

Rules

799×	`pow1_binary64`
743×	`log1p-expm1-u_binary64`
743×	`expm1-log1p-u_binary64`
87×	`add-sqr-sqrt_binary64`
83×	`add-exp-log_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	25
1	183	25
2	1976	25

Stop Event

1×	node limit

Counts

3 → 63

simplify48.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

536×	`fma-def_binary64`
509×	`fma-neg_binary64`
142×	`cancel-sign-sub-inv_binary64`
80×	`associate-r_binary64`
61×	`distribute-rgt-neg-in_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	23	572
1	56	496
2	127	496
3	260	496
4	603	496
5	1225	496
6	1852	496
7	2159	496
8	2186	496
9	2189	496

Stop Event

1×

saturated

Counts

123 → 81

prune57.0ms (0.6%)

Pruning

13 alts after pruning (9 fresh and 4 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	9	9
Picked	0	1	1
Done	0	3	3
Total	81	13	94

Error

1.9b

Counts

94 → 13

Alt Table

Status	Error	Program
✓	28.7b	(-.f64 (fma.f64 n 100 (fma.f64 (/.f64 (pow.f64 i 3) n) 275/6 (fma.f64 50 (.f64 i n) (fma.f64 25/6 (.f64 n (pow.f64 i 3)) (fma.f64 (/.f64 i (/.f64 n i)) 100/3 (.f64 50/3 (.f64 (.f64 i i) n))))))) (fma.f64 (pow.f64 i 3) 25 (fma.f64 50 (+.f64 i (.f64 i i)) (*.f64 (/.f64 (pow.f64 i 3) n) (/.f64 25 n)))))
	29.4b	(.f64 (.f64 (cbrt.f64 (-.f64 (fma.f64 n 100 (fma.f64 (/.f64 (pow.f64 i 3) n) 275/6 (fma.f64 50 (.f64 i n) (fma.f64 25/6 (.f64 n (pow.f64 i 3)) (fma.f64 (.f64 (/.f64 i n) i) 100/3 (.f64 (.f64 50/3 (.f64 i i)) n)))))) (fma.f64 (pow.f64 i 3) 25 (fma.f64 50 (+.f64 i (.f64 i i)) (.f64 (/.f64 (pow.f64 i 3) n) (/.f64 25 n)))))) (cbrt.f64 (-.f64 (fma.f64 n 100 (fma.f64 (/.f64 (pow.f64 i 3) n) 275/6 (fma.f64 50 (.f64 i n) (fma.f64 25/6 (.f64 n (pow.f64 i 3)) (fma.f64 (.f64 (/.f64 i n) i) 100/3 (.f64 (.f64 50/3 (.f64 i i)) n)))))) (fma.f64 (pow.f64 i 3) 25 (fma.f64 50 (+.f64 i (.f64 i i)) (.f64 (/.f64 (pow.f64 i 3) n) (/.f64 25 n))))))) (cbrt.f64 (-.f64 (fma.f64 n 100 (fma.f64 (/.f64 (pow.f64 i 3) n) 275/6 (fma.f64 50 (.f64 i n) (fma.f64 25/6 (.f64 n (pow.f64 i 3)) (fma.f64 (.f64 (/.f64 i n) i) 100/3 (.f64 (.f64 50/3 (.f64 i i)) n)))))) (fma.f64 (pow.f64 i 3) 25 (fma.f64 50 (+.f64 i (.f64 i i)) (.f64 (/.f64 (pow.f64 i 3) n) (/.f64 25 n)))))))
	50.4b	(-.f64 (.f64 100 (/.f64 (.f64 n (exp.f64 i)) i)) (+.f64 (.f64 100 (/.f64 n i)) (.f64 50 (*.f64 (exp.f64 i) i))))
✓	28.1b	(.f64 n (/.f64 (.f64 100 i) i))
✓	28.8b	(fma.f64 n 100 (*.f64 i (fma.f64 n 50 -50)))
	54.9b	(.f64 n (/.f64 (+.f64 (+.f64 (.f64 (.f64 50 (.f64 n n)) (+.f64 (pow.f64 (log.f64 i) 2) (pow.f64 (log.f64 n) 2))) (.f64 100 (fma.f64 n (log.f64 i) (/.f64 n (/.f64 i n))))) (.f64 -100 (.f64 (log.f64 n) (+.f64 n (.f64 (*.f64 n n) (log.f64 i)))))) i))
✓	48.9b	(*.f64 n (/.f64 (fma.f64 100 (pow.f64 (+.f64 1 (/.f64 i n)) n) -100) i))
	55.0b	(.f64 n (/.f64 (.f64 n (*.f64 100 (-.f64 (log.f64 i) (log.f64 n)))) i))
	48.9b	(/.f64 1 (/.f64 i (*.f64 n (fma.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 100 -100))))
	49.1b	(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
	47.9b	(*.f64 n (/.f64 (fma.f64 100 (exp.f64 i) -100) i))
	54.9b	(.f64 (/.f64 n (/.f64 i n)) (.f64 100 (-.f64 (log.f64 i) (log.f64 n))))
	55.6b	(/.f64 (.f64 (pow.f64 n 2) (-.f64 (.f64 100 (log.f64 i)) (*.f64 100 (log.f64 n)))) i)

Compiler

Compiled 1445 to 1017 computations (29.6% saved)

regimes537.0ms (5.6%)

Accuracy

Total 8.7b remaining (75.8%)

Threshold costs 0b (0%)

Counts

66 → 3

Compiler

Compiled 8996 to 6112 computations (32.1% saved)

bsearch207.0ms (2.2%)

Algorithm

2×	binary-search

Calls

2 calls:

104.0ms	i
99.0ms	i

Steps

Iters	Point		Range
88.6904340203227	∈ [	86.72859447752745	,	4403392.701313815	]
-0.0013849874952766889	∈ [	-120671282199.64046	,	-2.474352595651851e-10	]

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

14×	`*-commutative_binary64`
9×	`+-commutative_binary64`
5×	`sub-neg_binary64`
3×	`neg-sub0_binary64`
3×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	50	118
1	69	118
2	79	118
3	85	118
4	89	118
5	90	118

Stop Event

1×

saturated

end272.0ms (2.8%)

Stop Event

1×

fuel

Compiler

Compiled 604 to 385 computations (36.3% saved)

Details

analyze967.0ms (10.1%)

sample6.5s (68.1%)

preprocess26.0ms (0.3%)

simplify20.0ms (0.2%)

prune4.0ms (0%)

localize8.0ms (0.1%)

series140.0ms (1.5%)

rewrite55.0ms (0.6%)

simplify89.0ms (0.9%)

prune205.0ms (2.1%)

localize4.0ms (0%)

series1.0ms (0%)

rewrite28.0ms (0.3%)

simplify6.0ms (0.1%)

prune17.0ms (0.2%)

localize27.0ms (0.3%)

series68.0ms (0.7%)

rewrite42.0ms (0.4%)

simplify46.0ms (0.5%)

prune120.0ms (1.3%)

localize5.0ms (0.1%)

series15.0ms (0.2%)

rewrite42.0ms (0.4%)

simplify48.0ms (0.5%)

prune57.0ms (0.6%)

regimes537.0ms (5.6%)

bsearch207.0ms (2.2%)

simplify5.0ms (0.1%)

end272.0ms (2.8%)

Profiling