Details

analyze1.1s (8.5%)

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%	56.2%	11.4%	9
36.3%	51.7%	12%	10
40.7%	42.9%	16.4%	11
42.6%	40.3%	17.1%	12
44.5%	35.7%	19.8%	13
45.5%	34.4%	20.1%	14

Compiler

Compiled 18 to 12 computations (33.3% saved)

sample168.0ms (1.3%)

Algorithm

1×

intervals

Results

71.0ms	55×	body	2048	valid
49.0ms	85×	body	1024	valid
9.0ms	6×	body	1024	invalid
8.0ms	33×	body	512	valid
5.0ms	12×	body	512	invalid
4.0ms	64×	body	128	valid
3.0ms	1×	body	4096	valid
3.0ms	18×	body	256	valid
2.0ms	19×	body	128	invalid
1.0ms	6×	body	256	invalid
1.0ms	10×	body	128	nan

Compiler

Compiled 37 to 25 computations (32.4% saved)

simplify75.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

563×	`associate-/r/_binary64`
484×	`associate-/r*_binary64`
474×	`associate-*l/_binary64`
421×	`associate-/l/_binary64`
396×	`associate-*r/_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	22
1	29	22
2	66	22
3	158	22
4	444	22
5	1676	22
6	4664	22
7	4987	22
8	4974	22
9	5036	22

prune1.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

47.4b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	47.4b	(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))

Compiler

Compiled 34 to 22 computations (35.3% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
1.6b	(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
7.0b	(pow.f64 (+.f64 1 (/.f64 i n)) n)
10.4b	(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))

rewrite728.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

47.2b

Rules

584×	`times-frac_binary64`
486×	`add-sqr-sqrt_binary64`
367×	`*-un-lft-identity_binary64`
225×	`add-cube-cbrt_binary64`
174×	`associate-r_binary64`

Counts

4 → 451

Calls

4 calls:

49.0ms	(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
17.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
8.0ms	(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
6.0ms	(pow.f64 (+.f64 1 (/.f64 i n)) n)

Compiler

Compiled 10984 to 6006 computations (45.3% saved)

series305.0ms (2.4%)

Error

2.3b

Counts

4 → 73

Calls

4 calls:

75.0ms	(*.f64 100 (/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n)))
71.0ms	(/.f64 (-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1) (/.f64 i n))
51.0ms	(-.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) 1)
51.0ms	(pow.f64 (+.f64 1 (/.f64 i n)) n)

Compiler

Compiled 6085 to 4228 computations (30.5% saved)

simplify459.0ms (3.6%)

Algorithm

1×	egg-herbie

Rules

449×	`associate-/l*_binary64`
389×	`associate-/r/_binary64`
264×	`associate-*l/_binary64`
204×	`*-commutative_binary64`
203×	`times-frac_binary64`

Counts

524 → 501

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	733	18364
1	2029	17923
2	4939	17923
3	4999	17923
4	4940	17923

prune241.0ms (1.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	489	12	501
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	490	12	502

Error

0.4b

Counts

502 → 12

Alt Table

Status	Error	Program
	56.6b	(-.f64 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 n 3) (pow.f64 (log.f64 i) 2)) i) 50) (+.f64 (.f64 100 (+.f64 (/.f64 (.f64 (.f64 n n) (log.f64 i)) i) (/.f64 (pow.f64 n 3) (.f64 i i)))) (.f64 (/.f64 (.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 2)) i) 50))) (.f64 100 (+.f64 (/.f64 (.f64 (log.f64 i) (.f64 (pow.f64 n 3) (log.f64 n))) i) (/.f64 (.f64 (*.f64 n n) (log.f64 n)) i))))
	48.4b	(.f64 100 (.f64 (/.f64 n i) (+.f64 (exp.f64 i) -1)))
	48.2b	(*.f64 100 (/.f64 (+.f64 (exp.f64 i) -1) (/.f64 i n)))
	55.6b	(.f64 100 (/.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 (.f64 n n) (pow.f64 (log.f64 n) 2))) (+.f64 (.f64 n (log.f64 i)) (+.f64 (/.f64 (.f64 n n) i) (.f64 1/2 (.f64 (.f64 n n) (pow.f64 (log.f64 i) 2)))))) (.f64 (log.f64 n) (+.f64 n (.f64 (.f64 n n) (log.f64 i))))) (/.f64 i n)))
	53.2b	(.f64 100 (/.f64 (.f64 n (log.f64 (/.f64 i n))) (/.f64 i n)))
	47.4b	(.f64 (sqrt.f64 100) (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 10))
	47.4b	(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
	60.5b	(.f64 100 (/.f64 (-.f64 (-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (exp.f64 i) (pow.f64 i 4)) (.f64 n n))) (+.f64 (exp.f64 i) (.f64 1/3 (.f64 (/.f64 (pow.f64 i 3) (.f64 n n)) (exp.f64 i))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 i i) n) (exp.f64 i))) (+.f64 (.f64 1/4 (/.f64 (.f64 (exp.f64 i) (pow.f64 i 4)) (pow.f64 n 3))) (+.f64 (.f64 1/48 (/.f64 (.f64 (exp.f64 i) (pow.f64 i 6)) (pow.f64 n 3))) (.f64 1/6 (/.f64 (.f64 (exp.f64 i) (pow.f64 i 5)) (pow.f64 n 3))))))) 1) (/.f64 i n)))
	47.5b	(.f64 100 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 (.f64 (cbrt.f64 i) (cbrt.f64 i)) (*.f64 (cbrt.f64 n) (cbrt.f64 n)))) (/.f64 (cbrt.f64 i) (cbrt.f64 n))))
	59.1b	(-.f64 (+.f64 (.f64 (.f64 (/.f64 (.f64 i i) n) (exp.f64 i)) 100/3) (+.f64 (.f64 (.f64 (/.f64 n i) (exp.f64 i)) 100) (.f64 (.f64 (/.f64 (pow.f64 i 3) n) (exp.f64 i)) 25/2))) (+.f64 (.f64 (/.f64 n i) 100) (.f64 (.f64 i (exp.f64 i)) 50)))
▶	28.0b	(+.f64 (.f64 n 100) (.f64 i (-.f64 (*.f64 50 n) 50)))
	54.5b	(.f64 100 (.f64 (/.f64 (*.f64 n n) i) (log.f64 (/.f64 i n))))

Compiler

Compiled 10439 to 5504 computations (47.3% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 n 100) (.f64 i (-.f64 (*.f64 50 n) 50)))
0.1b	(.f64 i (-.f64 (.f64 50 n) 50))

rewrite37.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

12×	`cancel-sign-sub-inv_binary64`
10×	`add-sqr-sqrt_binary64`
8×	`associate-+r+_binary64`
8×	`distribute-lft-in_binary64`
8×	`distribute-rgt-in_binary64`

Counts

2 → 47

Calls

2 calls:

5.0ms	(.f64 i (-.f64 (.f64 50 n) 50))
4.0ms	(+.f64 (.f64 n 100) (.f64 i (-.f64 (*.f64 50 n) 50)))

Compiler

Compiled 894 to 681 computations (23.8% saved)

series38.0ms (0.3%)

Error

0.4b

Counts

2 → 21

Calls

2 calls:

17.0ms	(+.f64 (.f64 n 100) (.f64 i (-.f64 (*.f64 50 n) 50)))
16.0ms	(.f64 i (-.f64 (.f64 50 n) 50))

Compiler

Compiled 511 to 377 computations (26.2% saved)

simplify99.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

499×	`associate-l_binary64`
481×	`associate-+l+_binary64`
329×	`cancel-sign-sub-inv_binary64`
259×	`distribute-rgt-in_binary64`
247×	`distribute-lft-in_binary64`

Counts

68 → 49

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	100	952
1	259	919
2	753	916
3	2255	916
4	4875	916
5	4914	916

prune44.0ms (0.3%)

Pruning

15 alts after pruning (14 fresh and 1 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	0	11	11
Picked	0	1	1
Done	0	0	0
Total	46	15	61

Error

0.4b

Counts

61 → 15

Alt Table

Status	Error	Program
	42.0b	(/.f64 (-.f64 (.f64 n (.f64 n 10000)) (.f64 2500 (.f64 (-.f64 (.f64 i n) i) (-.f64 (.f64 i n) i)))) (+.f64 (.f64 n 100) (.f64 i (-.f64 50 (*.f64 50 n)))))
	56.6b	(-.f64 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 n 3) (pow.f64 (log.f64 i) 2)) i) 50) (+.f64 (.f64 100 (+.f64 (/.f64 (.f64 (.f64 n n) (log.f64 i)) i) (/.f64 (pow.f64 n 3) (.f64 i i)))) (.f64 (/.f64 (.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 2)) i) 50))) (.f64 100 (+.f64 (/.f64 (.f64 (log.f64 i) (.f64 (pow.f64 n 3) (log.f64 n))) i) (/.f64 (.f64 (*.f64 n n) (log.f64 n)) i))))
	48.4b	(.f64 100 (.f64 (/.f64 n i) (+.f64 (exp.f64 i) -1)))
	46.5b	(.f64 (sqrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (.f64 n 100))) (sqrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100))))
✓	28.0b	(+.f64 (.f64 n 100) (.f64 i (-.f64 (*.f64 50 n) 50)))
▶	28.8b	(.f64 (.f64 (cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (.f64 n 100))) (cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (.f64 n 100)))) (cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100))))
	54.5b	(.f64 100 (.f64 (/.f64 (*.f64 n n) i) (log.f64 (/.f64 i n))))
	48.2b	(*.f64 100 (/.f64 (+.f64 (exp.f64 i) -1) (/.f64 i n)))
	55.6b	(.f64 100 (/.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 (.f64 n n) (pow.f64 (log.f64 n) 2))) (+.f64 (.f64 n (log.f64 i)) (+.f64 (/.f64 (.f64 n n) i) (.f64 1/2 (.f64 (.f64 n n) (pow.f64 (log.f64 i) 2)))))) (.f64 (log.f64 n) (+.f64 n (.f64 (.f64 n n) (log.f64 i))))) (/.f64 i n)))
	53.2b	(.f64 100 (/.f64 (.f64 n (log.f64 (/.f64 i n))) (/.f64 i n)))
	47.4b	(.f64 (sqrt.f64 100) (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 10))
	47.4b	(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
	60.5b	(.f64 100 (/.f64 (-.f64 (-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (exp.f64 i) (pow.f64 i 4)) (.f64 n n))) (+.f64 (exp.f64 i) (.f64 1/3 (.f64 (/.f64 (pow.f64 i 3) (.f64 n n)) (exp.f64 i))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 i i) n) (exp.f64 i))) (+.f64 (.f64 1/4 (/.f64 (.f64 (exp.f64 i) (pow.f64 i 4)) (pow.f64 n 3))) (+.f64 (.f64 1/48 (/.f64 (.f64 (exp.f64 i) (pow.f64 i 6)) (pow.f64 n 3))) (.f64 1/6 (/.f64 (.f64 (exp.f64 i) (pow.f64 i 5)) (pow.f64 n 3))))))) 1) (/.f64 i n)))
	47.5b	(.f64 100 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 (.f64 (cbrt.f64 i) (cbrt.f64 i)) (*.f64 (cbrt.f64 n) (cbrt.f64 n)))) (/.f64 (cbrt.f64 i) (cbrt.f64 n))))
	59.1b	(-.f64 (+.f64 (.f64 (.f64 (/.f64 (.f64 i i) n) (exp.f64 i)) 100/3) (+.f64 (.f64 (.f64 (/.f64 n i) (exp.f64 i)) 100) (.f64 (.f64 (/.f64 (pow.f64 i 3) n) (exp.f64 i)) 25/2))) (+.f64 (.f64 (/.f64 n i) 100) (.f64 (.f64 i (exp.f64 i)) 50)))

Compiler

Compiled 1441 to 973 computations (32.5% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (.f64 n 100))) (cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100))))
5.5b	(cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100)))
5.5b	(cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100)))
5.5b	(cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100)))

rewrite131.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

25×	`cbrt-prod_binary64`
23×	`add-sqr-sqrt_binary64`
18×	`cbrt-div_binary64`
15×	`*-un-lft-identity_binary64`
15×	`add-cube-cbrt_binary64`

Counts

4 → 87

Calls

4 calls:

19.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (.f64 n 100))) (cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100))))
5.0ms	(cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100)))
5.0ms	(cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100)))
5.0ms	(cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100)))

Compiler

Compiled 4613 to 3569 computations (22.6% saved)

series237.0ms (1.9%)

Error

0.4b

Counts

4 → 38

Calls

4 calls:

81.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (.f64 n 100))) (cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100))))
50.0ms	(cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100)))
35.0ms	(cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100)))
34.0ms	(cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100)))

Compiler

Compiled 6175 to 5081 computations (17.7% saved)

simplify147.0ms (1.2%)

Algorithm

1×	egg-herbie

Rules

564×	`times-frac_binary64`
397×	`associate-/l*_binary64`
228×	`cancel-sign-sub-inv_binary64`
189×	`distribute-rgt-in_binary64`
187×	`distribute-rgt-neg-in_binary64`

Counts

125 → 112

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	217	4906
1	576	4643
2	1771	4132
3	4997	4132
4	4951	4132

prune114.0ms (0.9%)

Pruning

17 alts after pruning (16 fresh and 1 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	0	13	13
Picked	1	0	1
Done	0	1	1
Total	110	17	127

Error

0.4b

Counts

127 → 17

Alt Table

Status	Error	Program
	47.6b	(.f64 (.f64 (-.f64 (cbrt.f64 (exp.f64 (+.f64 (log.f64 (+.f64 100 (.f64 i 50))) (log.f64 n)))) (.f64 50/3 (.f64 (/.f64 i (.f64 n (+.f64 100 (.f64 i 50)))) (cbrt.f64 (exp.f64 (+.f64 (log.f64 (+.f64 100 (.f64 i 50))) (log.f64 n))))))) (cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (.f64 n 100)))) (cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (.f64 n 100))))
	48.2b	(*.f64 100 (/.f64 (+.f64 (exp.f64 i) -1) (/.f64 i n)))
	42.0b	(/.f64 (-.f64 (.f64 n (.f64 n 10000)) (.f64 2500 (.f64 (-.f64 (.f64 i n) i) (-.f64 (.f64 i n) i)))) (+.f64 (.f64 n 100) (.f64 i (-.f64 50 (*.f64 50 n)))))
▶	29.0b	(.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 100 n) (.f64 i (-.f64 (.f64 n 50) 50))))) (cbrt.f64 (cbrt.f64 (+.f64 (.f64 100 n) (.f64 i (-.f64 (.f64 n 50) 50)))))) (cbrt.f64 (cbrt.f64 (+.f64 (.f64 100 n) (.f64 i (-.f64 (.f64 n 50) 50)))))) (cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (.f64 n 100)))) (cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100))))
	56.6b	(-.f64 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 n 3) (pow.f64 (log.f64 i) 2)) i) 50) (+.f64 (.f64 100 (+.f64 (/.f64 (.f64 (.f64 n n) (log.f64 i)) i) (/.f64 (pow.f64 n 3) (.f64 i i)))) (.f64 (/.f64 (.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 2)) i) 50))) (.f64 100 (+.f64 (/.f64 (.f64 (log.f64 i) (.f64 (pow.f64 n 3) (log.f64 n))) i) (/.f64 (.f64 (*.f64 n n) (log.f64 n)) i))))
	48.4b	(.f64 100 (.f64 (/.f64 n i) (+.f64 (exp.f64 i) -1)))
	46.5b	(.f64 (sqrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (.f64 n 100))) (sqrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100))))
✓	28.0b	(+.f64 (.f64 n 100) (.f64 i (-.f64 (*.f64 50 n) 50)))
	55.6b	(.f64 100 (/.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 (.f64 n n) (pow.f64 (log.f64 n) 2))) (+.f64 (.f64 n (log.f64 i)) (+.f64 (/.f64 (.f64 n n) i) (.f64 1/2 (.f64 (.f64 n n) (pow.f64 (log.f64 i) 2)))))) (.f64 (log.f64 n) (+.f64 n (.f64 (.f64 n n) (log.f64 i))))) (/.f64 i n)))
	53.2b	(.f64 100 (/.f64 (.f64 n (log.f64 (/.f64 i n))) (/.f64 i n)))
	47.4b	(.f64 (sqrt.f64 100) (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 10))
	47.4b	(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
	60.5b	(.f64 100 (/.f64 (-.f64 (-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (exp.f64 i) (pow.f64 i 4)) (.f64 n n))) (+.f64 (exp.f64 i) (.f64 1/3 (.f64 (/.f64 (pow.f64 i 3) (.f64 n n)) (exp.f64 i))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 i i) n) (exp.f64 i))) (+.f64 (.f64 1/4 (/.f64 (.f64 (exp.f64 i) (pow.f64 i 4)) (pow.f64 n 3))) (+.f64 (.f64 1/48 (/.f64 (.f64 (exp.f64 i) (pow.f64 i 6)) (pow.f64 n 3))) (.f64 1/6 (/.f64 (.f64 (exp.f64 i) (pow.f64 i 5)) (pow.f64 n 3))))))) 1) (/.f64 i n)))
	49.4b	(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 100 n) (.f64 i (-.f64 (.f64 n 50) 50)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 i (-.f64 (.f64 n 50) 50)) 3) (pow.f64 (.f64 100 n) 3)))) (cbrt.f64 (+.f64 (.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (.f64 i (-.f64 (.f64 50 n) 50))) (-.f64 (.f64 (.f64 n 100) (.f64 n 100)) (.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (.f64 n 100)))))) (cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100))))
	47.5b	(.f64 100 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 (.f64 (cbrt.f64 i) (cbrt.f64 i)) (*.f64 (cbrt.f64 n) (cbrt.f64 n)))) (/.f64 (cbrt.f64 i) (cbrt.f64 n))))
	59.1b	(-.f64 (+.f64 (.f64 (.f64 (/.f64 (.f64 i i) n) (exp.f64 i)) 100/3) (+.f64 (.f64 (.f64 (/.f64 n i) (exp.f64 i)) 100) (.f64 (.f64 (/.f64 (pow.f64 i 3) n) (exp.f64 i)) 25/2))) (+.f64 (.f64 (/.f64 n i) 100) (.f64 (.f64 i (exp.f64 i)) 50)))
	54.5b	(.f64 100 (.f64 (/.f64 (*.f64 n n) i) (log.f64 (/.f64 i n))))

Compiler

Compiled 5864 to 4409 computations (24.8% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

5.5b	(cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100)))
5.5b	(cbrt.f64 (+.f64 (.f64 100 n) (.f64 i (-.f64 (*.f64 n 50) 50))))
5.5b	(cbrt.f64 (+.f64 (.f64 100 n) (.f64 i (-.f64 (*.f64 n 50) 50))))
5.5b	(cbrt.f64 (+.f64 (.f64 100 n) (.f64 i (-.f64 (*.f64 n 50) 50))))

rewrite93.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

0.4b

Rules

12×	`cbrt-prod_binary64`
8×	`*-un-lft-identity_binary64`
8×	`add-sqr-sqrt_binary64`
8×	`cbrt-div_binary64`
8×	`add-cube-cbrt_binary64`

Counts

4 → 52

Calls

4 calls:

8.0ms	(cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100)))
3.0ms	(cbrt.f64 (+.f64 (.f64 100 n) (.f64 i (-.f64 (*.f64 n 50) 50))))
3.0ms	(cbrt.f64 (+.f64 (.f64 100 n) (.f64 i (-.f64 (*.f64 n 50) 50))))
3.0ms	(cbrt.f64 (+.f64 (.f64 100 n) (.f64 i (-.f64 (*.f64 n 50) 50))))

Compiler

Compiled 4254 to 3318 computations (22% saved)

series227.0ms (1.8%)

Error

0.4b

Counts

4 → 36

Calls

4 calls:

51.0ms	(cbrt.f64 (+.f64 (.f64 100 n) (.f64 i (-.f64 (*.f64 n 50) 50))))
47.0ms	(cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100)))
40.0ms	(cbrt.f64 (+.f64 (.f64 100 n) (.f64 i (-.f64 (*.f64 n 50) 50))))
39.0ms	(cbrt.f64 (+.f64 (.f64 100 n) (.f64 i (-.f64 (*.f64 n 50) 50))))

Compiler

Compiled 8146 to 6546 computations (19.6% saved)

simplify94.0ms (0.7%)

Algorithm

1×	egg-herbie

Rules

862×	`times-frac_binary64`
529×	`cancel-sign-sub-inv_binary64`
298×	`associate-l_binary64`
274×	`associate-r_binary64`
163×	`*-commutative_binary64`

Counts

88 → 76

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	126	2628
1	304	2584
2	820	2540
3	2646	2344
4	5198	2344

prune151.0ms (1.2%)

Pruning

16 alts after pruning (15 fresh and 1 done)

	Pruned	Kept	Total
New	75	1	76
Fresh	1	14	15
Picked	1	0	1
Done	0	1	1
Total	77	16	93

Error

0.4b

Counts

93 → 16

Alt Table

Status	Error	Program
	29.1b	(.f64 (.f64 (.f64 (.f64 (cbrt.f64 (cbrt.f64 (+.f64 (.f64 100 n) (.f64 i (-.f64 (.f64 n 50) 50))))) (cbrt.f64 (cbrt.f64 (+.f64 (.f64 100 n) (.f64 i (-.f64 (.f64 n 50) 50)))))) (cbrt.f64 (cbrt.f64 (+.f64 (.f64 100 n) (.f64 i (-.f64 (.f64 n 50) 50)))))) (-.f64 (cbrt.f64 (.f64 (+.f64 100 (.f64 i 50)) n)) (.f64 50/3 (.f64 (cbrt.f64 (.f64 (+.f64 100 (.f64 i 50)) n)) (/.f64 i (.f64 (+.f64 100 (.f64 i 50)) n)))))) (cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (.f64 n 100))))
	47.4b	(.f64 (sqrt.f64 100) (.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 i n)) 10))
	42.0b	(/.f64 (-.f64 (.f64 n (.f64 n 10000)) (.f64 2500 (.f64 (-.f64 (.f64 i n) i) (-.f64 (.f64 i n) i)))) (+.f64 (.f64 n 100) (.f64 i (-.f64 50 (*.f64 50 n)))))
	56.6b	(-.f64 (+.f64 (.f64 (/.f64 (.f64 (pow.f64 n 3) (pow.f64 (log.f64 i) 2)) i) 50) (+.f64 (.f64 100 (+.f64 (/.f64 (.f64 (.f64 n n) (log.f64 i)) i) (/.f64 (pow.f64 n 3) (.f64 i i)))) (.f64 (/.f64 (.f64 (pow.f64 n 3) (pow.f64 (log.f64 n) 2)) i) 50))) (.f64 100 (+.f64 (/.f64 (.f64 (log.f64 i) (.f64 (pow.f64 n 3) (log.f64 n))) i) (/.f64 (.f64 (*.f64 n n) (log.f64 n)) i))))
	48.4b	(.f64 100 (.f64 (/.f64 n i) (+.f64 (exp.f64 i) -1)))
	46.5b	(.f64 (sqrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (.f64 n 100))) (sqrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100))))
	28.0b	(+.f64 (.f64 n 100) (.f64 i (-.f64 (*.f64 50 n) 50)))
	48.2b	(*.f64 100 (/.f64 (+.f64 (exp.f64 i) -1) (/.f64 i n)))
	55.6b	(.f64 100 (/.f64 (-.f64 (+.f64 (.f64 1/2 (.f64 (.f64 n n) (pow.f64 (log.f64 n) 2))) (+.f64 (.f64 n (log.f64 i)) (+.f64 (/.f64 (.f64 n n) i) (.f64 1/2 (.f64 (.f64 n n) (pow.f64 (log.f64 i) 2)))))) (.f64 (log.f64 n) (+.f64 n (.f64 (.f64 n n) (log.f64 i))))) (/.f64 i n)))
	53.2b	(.f64 100 (/.f64 (.f64 n (log.f64 (/.f64 i n))) (/.f64 i n)))
	47.4b	(/.f64 (*.f64 100 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1)) (/.f64 i n))
	60.5b	(.f64 100 (/.f64 (-.f64 (-.f64 (+.f64 (.f64 1/8 (/.f64 (.f64 (exp.f64 i) (pow.f64 i 4)) (.f64 n n))) (+.f64 (exp.f64 i) (.f64 1/3 (.f64 (/.f64 (pow.f64 i 3) (.f64 n n)) (exp.f64 i))))) (+.f64 (.f64 1/2 (.f64 (/.f64 (.f64 i i) n) (exp.f64 i))) (+.f64 (.f64 1/4 (/.f64 (.f64 (exp.f64 i) (pow.f64 i 4)) (pow.f64 n 3))) (+.f64 (.f64 1/48 (/.f64 (.f64 (exp.f64 i) (pow.f64 i 6)) (pow.f64 n 3))) (.f64 1/6 (/.f64 (.f64 (exp.f64 i) (pow.f64 i 5)) (pow.f64 n 3))))))) 1) (/.f64 i n)))
	49.4b	(.f64 (/.f64 (.f64 (cbrt.f64 (+.f64 (.f64 100 n) (.f64 i (-.f64 (.f64 n 50) 50)))) (cbrt.f64 (+.f64 (pow.f64 (.f64 i (-.f64 (.f64 n 50) 50)) 3) (pow.f64 (.f64 100 n) 3)))) (cbrt.f64 (+.f64 (.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (.f64 i (-.f64 (.f64 50 n) 50))) (-.f64 (.f64 (.f64 n 100) (.f64 n 100)) (.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (.f64 n 100)))))) (cbrt.f64 (+.f64 (.f64 i (-.f64 (.f64 50 n) 50)) (*.f64 n 100))))
	47.5b	(.f64 100 (/.f64 (/.f64 (+.f64 (pow.f64 (+.f64 1 (/.f64 i n)) n) -1) (/.f64 (.f64 (cbrt.f64 i) (cbrt.f64 i)) (*.f64 (cbrt.f64 n) (cbrt.f64 n)))) (/.f64 (cbrt.f64 i) (cbrt.f64 n))))
	59.1b	(-.f64 (+.f64 (.f64 (.f64 (/.f64 (.f64 i i) n) (exp.f64 i)) 100/3) (+.f64 (.f64 (.f64 (/.f64 n i) (exp.f64 i)) 100) (.f64 (.f64 (/.f64 (pow.f64 i 3) n) (exp.f64 i)) 25/2))) (+.f64 (.f64 (/.f64 n i) 100) (.f64 (.f64 i (exp.f64 i)) 50)))
	54.5b	(.f64 100 (.f64 (/.f64 (*.f64 n n) i) (log.f64 (/.f64 i n))))

Compiler

Compiled 6376 to 4898 computations (23.2% saved)

regimes2.1s (16.8%)

Accuracy

Total 10.9b remaining (94.5%)

Threshold costs 0b (0%)

Compiler

Compiled 24973 to 17226 computations (31% saved)

bsearch368.0ms (2.9%)

Steps

Iters	Range		Point
10	9.350932413932521e+201	4.0441402179226065e+212	6.596829234964693e+202
6	2.0855809159390336e+151	1.477743802390302e+152	1.4546833800995257e+152
10	0.1693450743132569	140492928100815.47	0.2208532522868418
10	-0.00043506090070636385	-5.943447417711807e-14	-0.0001425252087604258

Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify15.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

36×	`*-commutative_binary64`
29×	`+-commutative_binary64`
18×	`sub-neg_binary64`
16×	`neg-sub0_binary64`
16×	`neg-mul-1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	79	218
1	127	218
2	139	218
3	155	218
4	179	218
5	205	218
6	229	218
7	243	218
8	251	218
9	253	218
10	249	218

end2.0ms (0%)

Compiler: Compiled 146 to 91 computations (37.7% saved)

sample5.6s (44.4%)

Algorithm

1×

intervals

Results

2.4s	1798×	body	2048	valid
1.6s	2645×	body	1024	valid
329.0ms	1159×	body	512	valid
141.0ms	1831×	body	128	valid
131.0ms	187×	body	1024	invalid
97.0ms	226×	body	512	invalid
90.0ms	533×	body	256	valid
74.0ms	34×	body	4096	valid
55.0ms	482×	body	128	invalid
35.0ms	149×	body	256	invalid
18.0ms	342×	body	128	nan
16.0ms	17×	body	2048	invalid

Compiler

Compiled 780 to 519 computations (33.5% saved)

Iter	Nodes	Cost
0	79	218
1	127	218
2	139	218
3	155	218
4	179	218
5	205	218
6	229	218
7	243	218
8	251	218
9	253	218
10	249	218

Iter	Nodes	Cost
0	79	218
1	127	218
2	139	218
3	155	218
4	179	218
5	205	218
6	229	218
7	243	218
8	251	218
9	253	218
10	249	218

Details

analyze1.1s (8.5%)

sample168.0ms (1.3%)

simplify75.0ms (0.6%)

prune1.0ms (0%)

localize8.0ms (0.1%)

rewrite728.0ms (5.8%)

series305.0ms (2.4%)

simplify459.0ms (3.6%)

prune241.0ms (1.9%)

localize6.0ms (0%)

rewrite37.0ms (0.3%)

series38.0ms (0.3%)

simplify99.0ms (0.8%)

prune44.0ms (0.3%)

localize11.0ms (0.1%)

rewrite131.0ms (1%)

series237.0ms (1.9%)

simplify147.0ms (1.2%)

prune114.0ms (0.9%)

localize26.0ms (0.2%)

rewrite93.0ms (0.7%)

series227.0ms (1.8%)

simplify94.0ms (0.7%)

prune151.0ms (1.2%)

regimes2.1s (16.8%)

bsearch368.0ms (2.9%)

simplify15.0ms (0.1%)

end2.0ms (0%)

sample5.6s (44.4%)

Profiling

Iter	Nodes	Cost
0	79	218
1	127	218
2	139	218
3	155	218
4	179	218
5	205	218
6	229	218
7	243	218
8	251	218
9	253	218
10	249	218