Details

analyze1.1s (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%	99.9%	0.1%	4
25%	62.4%	12.6%	5
25%	56.2%	18.8%	6
28.1%	50%	22%	7
28.1%	46.8%	25.1%	8
29.7%	41.4%	29%	9
29.7%	39.4%	30.9%	10
31.1%	35.8%	33.1%	11
31.1%	34.4%	34.5%	12
31.5%	32.9%	35.6%	13
31.5%	32.1%	36.4%	14

Compiler

Compiled 14 to 12 computations (14.3% saved)

sample203.0ms (0.5%)

Algorithm

1×

intervals

Results

55.0ms	101×	body	1024	valid
35.0ms	45×	body	1024	nan
32.0ms	54×	body	2048	valid
18.0ms	39×	body	512	valid
17.0ms	91×	body	128	overflowed
8.0ms	17×	body	512	nan
7.0ms	7×	body	1024	invalid
5.0ms	48×	body	128	valid
4.0ms	15×	body	256	nan
3.0ms	14×	body	256	valid
2.0ms	4×	body	512	invalid
2.0ms	25×	body	128	nan
1.0ms	4×	body	256	invalid
1.0ms	7×	body	128	invalid

Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify141.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4831	19
1	4831	19

prune3.0ms (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

34.6b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize7.0ms (0%)

Local error

Found 3 expressions with local error:

0.0b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
0.0b	(pow.f64 x (/.f64 1 n))
2.4b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite32.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64_441`
30×	`*-un-lft-identity_binary64_419`
26×	`pow-unpow_binary64_496`
21×	`add-cube-cbrt_binary64_454`
20×	`unpow-prod-down_binary64_498`
18×	`times-frac_binary64_425`
9×	`difference-of-squares_binary64_388` `sqr-pow_binary64_391`
7×	`cancel-sign-sub-inv_binary64_385`
5×	`add-log-exp_binary64_458` `add-exp-log_binary64_457` `pow1_binary64_480`
3×	`distribute-lft-out--_binary64_371` `add-cbrt-cube_binary64_455`
2×	`div-inv_binary64_416` `pow-exp_binary64_487` `distribute-lft-out_binary64_370` `pow-to-exp_binary64_488` `pow-pow_binary64_491`
1×	`sub-neg_binary64_412` `flip3--_binary64_423` `diff-log_binary64_511` `flip--_binary64_394`

Counts

3 → 85

Calls

3 calls:

12.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
7.0ms	(pow.f64 x (/.f64 1 n))
6.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))

series460.0ms (1.1%)

Counts

3 → 38

Calls

3 calls:

252.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
136.0ms	(pow.f64 x (/.f64 1 n))
71.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))

Compiler

Compiled 1416 to 1103 computations (22.1% saved)

simplify76.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	4990	2741
1	4990	2741

prune313.0ms (0.8%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	119	4	123
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	120	4	124

Error

0.9b

Counts

124 → 4

Compiler

Compiled 2952 to 2014 computations (31.8% saved)

localize42.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.4b	(log.f64 (+.f64 x 1))
4.0b	(+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3))))
6.8b	(+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)))
8.9b	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (.f64 n n))) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3))))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))

rewrite142.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

91×	`add-log-exp_binary64_458`
52×	`sum-log_binary64_510`
36×	`frac-add_binary64_427`
29×	`flip3-+_binary64_422` `flip-+_binary64_393`
24×	`frac-sub_binary64_428`
20×	`associate-*r/_binary64_361`
16×	`diff-log_binary64_511`
15×	`*-un-lft-identity_binary64_419`
8×	`add-sqr-sqrt_binary64_441`
6×	`add-cube-cbrt_binary64_454` `associate-+r-_binary64_353` `log-div_binary64_506`
5×	`add-exp-log_binary64_457` `pow1_binary64_480`
4×	`associate-+l-_binary64_354` `log-prod_binary64_505` `add-cbrt-cube_binary64_455` `cancel-sign-sub-inv_binary64_385` `div-sub_binary64_424`
3×	`distribute-lft-out_binary64_370`
2×	`distribute-lft-out--_binary64_371` `associate--l-_binary64_357` `+-commutative_binary64_349`
1×	`associate-+r+_binary64_351` `associate--l+_binary64_356` `sub-neg_binary64_412` `difference-of-squares_binary64_388` `rem-log-exp_binary64_460` `flip3--_binary64_423` `log-pow_binary64_508` `associate--r+_binary64_355` `flip--_binary64_394`

Counts

4 → 102

Calls

4 calls:

69.0ms	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (.f64 n n))) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3))))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))
17.0ms	(+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3))))
11.0ms	(+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)))
4.0ms	(log.f64 (+.f64 x 1))

series2.6s (6.3%)

Counts

4 → 47

Calls

4 calls:

1.2s	(-.f64 (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 (+.f64 x 1)) 2) (.f64 n n))) (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3))))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (/.f64 (pow.f64 (log.f64 x) 2) (.f64 n n))) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))
710.0ms	(+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3))))
654.0ms	(+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4)))
34.0ms	(log.f64 (+.f64 x 1))

Compiler

Compiled 5441 to 4036 computations (25.8% saved)

simplify185.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

149 → 149

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4955	21574
1	4955	21574

prune1.3s (3.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

	Pruned	Kept	Total
New	140	9	149
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	140	13	153

Error

0.4b

Counts

153 → 13

Compiler

Compiled 20302 to 13433 computations (33.8% saved)

localize54.0ms (0.1%)

Local error

Found 4 expressions with local error:

10.5b	(-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))
15.1b	(cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))))
15.1b	(cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))))
15.1b	(cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))))

rewrite248.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

58×	`add-log-exp_binary64_458`
30×	`sum-log_binary64_510`
15×	`*-un-lft-identity_binary64_419`
12×	`flip3-+_binary64_422` `flip-+_binary64_393` `diff-log_binary64_511`
10×	`add-sqr-sqrt_binary64_441`
9×	`cbrt-prod_binary64_450`
8×	`add-cube-cbrt_binary64_454` `frac-sub_binary64_428`
6×	`cbrt-div_binary64_451`
4×	`frac-add_binary64_427` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `cancel-sign-sub-inv_binary64_385` `pow1_binary64_480`
3×	`pow1/3_binary64_501`
2×	`associate-+l-_binary64_354` `distribute-lft-out_binary64_370` `distribute-lft-out--_binary64_371` `associate-+r-_binary64_353` `associate--l-_binary64_357` `log-div_binary64_506` `div-sub_binary64_424`
1×	`associate--l+_binary64_356` `sub-neg_binary64_412` `difference-of-squares_binary64_388` `flip3--_binary64_423` `associate--r+_binary64_355` `flip--_binary64_394`

Counts

4 → 80

Calls

4 calls:

51.0ms	(cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))))
49.0ms	(cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))))
47.0ms	(-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))
46.0ms	(cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))))

series5.6s (13.4%)

Counts

4 → 42

Calls

4 calls:

1.5s	(cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))))
1.5s	(cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))))
1.5s	(cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))))
1.1s	(-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))

Compiler

Compiled 16590 to 11973 computations (27.8% saved)

simplify162.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4966	15996
1	4966	15996

prune2.9s (7%)

Pruning

14 alts after pruning (12 fresh and 2 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	1	10	11
Picked	0	1	1
Done	0	1	1
Total	121	14	135

Error

0.4b

Counts

135 → 14

Compiler

Compiled 32013 to 21645 computations (32.4% saved)

localize79.0ms (0.2%)

Local error

Found 4 expressions with local error:

10.5b	(-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))
10.5b	(-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))
15.1b	(cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))))
15.1b	(cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))))

rewrite302.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

112×	`add-log-exp_binary64_458`
60×	`sum-log_binary64_510`
24×	`diff-log_binary64_511`
22×	`*-un-lft-identity_binary64_419`
20×	`flip3-+_binary64_422` `flip-+_binary64_393`
16×	`frac-sub_binary64_428`
12×	`add-sqr-sqrt_binary64_441`
8×	`frac-add_binary64_427` `add-cube-cbrt_binary64_454` `cancel-sign-sub-inv_binary64_385`
6×	`cbrt-prod_binary64_450`
4×	`cbrt-div_binary64_451` `associate-+l-_binary64_354` `distribute-lft-out_binary64_370` `distribute-lft-out--_binary64_371` `associate-+r-_binary64_353` `add-cbrt-cube_binary64_455` `add-exp-log_binary64_457` `associate--l-_binary64_357` `pow1_binary64_480` `log-div_binary64_506` `div-sub_binary64_424`
2×	`pow1/3_binary64_501` `associate--l+_binary64_356` `sub-neg_binary64_412` `difference-of-squares_binary64_388` `flip3--_binary64_423` `associate--r+_binary64_355` `flip--_binary64_394`

Counts

4 → 108

Calls

4 calls:

55.0ms	(-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))
50.0ms	(-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))
49.0ms	(cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))))
47.0ms	(cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))))

series5.5s (13.2%)

Counts

4 → 56

Calls

4 calls:

1.6s	(cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))))
1.6s	(cbrt.f64 (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 2)) (-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))))
1.2s	(-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))
1.2s	(-.f64 (+.f64 (.f64 1/24 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 4)) (+.f64 (/.f64 (log.f64 (+.f64 x 1)) n) (.f64 1/6 (pow.f64 (/.f64 (log.f64 (+.f64 x 1)) n) 3)))) (+.f64 (/.f64 (log.f64 x) n) (+.f64 (.f64 1/2 (pow.f64 (/.f64 (log.f64 x) n) 2)) (+.f64 (.f64 1/6 (pow.f64 (/.f64 (log.f64 x) n) 3)) (*.f64 1/24 (pow.f64 (/.f64 (log.f64 x) n) 4))))))

Compiler

Compiled 27276 to 19442 computations (28.7% saved)

simplify206.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

164 → 164

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4966	21768
1	4966	21768

prune7.2s (17.4%)

Pruning

14 alts after pruning (11 fresh and 3 done)

	Pruned	Kept	Total
New	164	0	164
Fresh	0	11	11
Picked	0	1	1
Done	0	2	2
Total	164	14	178

Error

0.4b

Counts

178 → 14

Compiler

Compiled 63952 to 43758 computations (31.6% saved)

regimes1.7s (4%)

Accuracy

Total 10.8b remaining (91.7%)

Threshold costs 0b (0%)

Compiler

Compiled 26964 to 18847 computations (30.1% saved)

bsearch324.0ms (0.8%)

Steps

Iters	Range		Point
8	6759.486433465497	5706684.881738266	306502.3035186536
9	-408562.62635250686	-0.026515428904748742	-1.2662371694345975
8	-2.1734571086332285e+40	-2.5911057956217457e+36	-2.809100228612805e+38
7	-5.552837948469903e+106	-6.346530387838724e+104	-7.960537086961811e+105

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify11.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	410	608
1	410	608

end0.0ms (0%)

sample10.6s (25.6%)

Algorithm

1×

intervals

Results

1.5s	2678×	body	1024	valid
1.1s	1464×	body	1024	nan
1.1s	1798×	body	2048	valid
481.0ms	2620×	body	128	overflowed
435.0ms	1163×	body	512	valid
328.0ms	724×	body	512	nan
174.0ms	194×	body	1024	invalid
174.0ms	1801×	body	128	valid
130.0ms	560×	body	256	valid
109.0ms	221×	body	512	invalid
84.0ms	354×	body	256	nan
49.0ms	778×	body	128	nan
45.0ms	139×	body	256	invalid
34.0ms	266×	body	128	invalid
8.0ms	7×	body	2048	nan
1.0ms	1×	body	2048	invalid

Compiler

Compiled 7096 to 4943 computations (30.3% saved)

Details

analyze1.1s (2.6%)

sample203.0ms (0.5%)

simplify141.0ms (0.3%)

prune3.0ms (0%)

localize7.0ms (0%)

rewrite32.0ms (0.1%)

series460.0ms (1.1%)

simplify76.0ms (0.2%)

prune313.0ms (0.8%)

localize42.0ms (0.1%)

rewrite142.0ms (0.3%)

series2.6s (6.3%)

simplify185.0ms (0.4%)

prune1.3s (3.2%)

localize54.0ms (0.1%)

rewrite248.0ms (0.6%)

series5.6s (13.4%)

simplify162.0ms (0.4%)

prune2.9s (7%)

localize79.0ms (0.2%)

rewrite302.0ms (0.7%)

series5.5s (13.2%)

simplify206.0ms (0.5%)

prune7.2s (17.4%)

regimes1.7s (4%)

bsearch324.0ms (0.8%)

simplify11.0ms (0%)

end0.0ms (0%)

sample10.6s (25.6%)

Profiling