Details

analyze1.1s (7.5%)

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
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)

sample206.0ms (1.4%)

Algorithm

1×

intervals

Results

40.0ms	60×	body	2048	valid
40.0ms	49×	body	1024	nan
40.0ms	81×	body	1024	valid
14.0ms	76×	body	128	overflowed
13.0ms	35×	body	512	valid
12.0ms	20×	body	512	nan
9.0ms	10×	body	1024	invalid
6.0ms	64×	body	128	valid
4.0ms	8×	body	512	invalid
4.0ms	17×	body	256	nan
3.0ms	16×	body	256	valid
2.0ms	8×	body	256	invalid
2.0ms	24×	body	128	nan
1.0ms	8×	body	128	invalid

Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify231.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5176	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

Merged error: 30.7b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

2.0b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite14.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_435`
10×	`unpow-prod-down_binary64_490`
9×	`difference-of-squares_binary64_383`
8×	`*-un-lft-identity_binary64_414`
6×	`sqr-pow_binary64_386`
3×	`distribute-lft-out--_binary64_368` `add-log-exp_binary64_450`
1×	`flip3--_binary64_418` `pow1_binary64_472` `add-cube-cbrt_binary64_446` `diff-log_binary64_503` `add-exp-log_binary64_449` `sub-neg_binary64_407` `add-cbrt-cube_binary64_447` `distribute-lft-out_binary64_367` `flip--_binary64_389`

Counts

1 → 23

Calls

1 calls:

12.0ms

(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

series278.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

278.0ms

(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

simplify68.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5152	828

prune44.0ms (0.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	24	3	27

Merged error: 20.5b

Counts

27 → 3

Compiler

Compiled 685 to 483 computations (29.5% saved)

localize11.0ms (0.1%)

Local error

Found 2 expressions with local error:

2.0b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.0b	(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))))

rewrite34.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-sqr-sqrt_binary64_435`
20×	`unpow-prod-down_binary64_490`
18×	`difference-of-squares_binary64_383` `*-un-lft-identity_binary64_414`
16×	`log-pow_binary64_500`
15×	`exp-prod_binary64_463`
12×	`sqr-pow_binary64_386`
6×	`distribute-lft-out--_binary64_368`
4×	`add-cube-cbrt_binary64_446` `add-log-exp_binary64_450` `log-prod_binary64_497`
3×	`pow1_binary64_472`
2×	`add-exp-log_binary64_449` `sub-neg_binary64_407` `add-cbrt-cube_binary64_447` `distribute-lft-out_binary64_367`
1×	`flip3--_binary64_418` `rem-log-exp_binary64_452` `diff-log_binary64_503` `exp-sum_binary64_457` `exp-diff_binary64_459` `log-div_binary64_498` `flip--_binary64_389`

Counts

2 → 52

Calls

2 calls:

14.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
13.0ms	(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))))

series848.0ms (5.8%)

Counts

2 → 6

Calls

2 calls:

604.0ms	(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))))
244.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

simplify58.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4922	1520
1	4922	1520

prune79.0ms (0.5%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	57	1	58
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	57	4	61

Merged error: 20.5b

Counts

61 → 4

Compiler

Compiled 1512 to 1079 computations (28.6% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.0b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.0b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.0b	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
2.0b	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))

rewrite64.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-sqr-sqrt_binary64_435`
22×	`*-un-lft-identity_binary64_414`
20×	`unpow-prod-down_binary64_490`
18×	`difference-of-squares_binary64_383`
14×	`log-prod_binary64_497`
12×	`sqr-pow_binary64_386`
8×	`add-cube-cbrt_binary64_446` `cbrt-prod_binary64_442` `add-log-exp_binary64_450`
6×	`distribute-lft-out--_binary64_368` `pow1_binary64_472` `add-exp-log_binary64_449`
4×	`log-pow_binary64_500` `sub-neg_binary64_407` `add-cbrt-cube_binary64_447`
2×	`flip3--_binary64_418` `rem-log-exp_binary64_452` `cbrt-div_binary64_443` `diff-log_binary64_503` `exp-sum_binary64_457` `exp-diff_binary64_459` `log-div_binary64_498` `distribute-lft-out_binary64_367` `flip--_binary64_389` `pow1/3_binary64_493`

Counts

4 → 82

Calls

4 calls:

15.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
12.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
12.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
11.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

series1.8s (12.1%)

Counts

4 → 12

Calls

4 calls:

649.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
639.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
241.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
238.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

simplify107.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4894	3034
1	4894	3034

prune230.0ms (1.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	92	2	94
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	93	5	98

Merged error: 20.4b

Counts

98 → 5

Compiler

Compiled 4340 to 3281 computations (24.4% saved)

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.0b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.0b	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
2.0b	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
2.0b	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))

rewrite67.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`add-sqr-sqrt_binary64_435`
21×	`log-prod_binary64_497`
17×	`*-un-lft-identity_binary64_414`
12×	`cbrt-prod_binary64_442`
10×	`add-cube-cbrt_binary64_446` `unpow-prod-down_binary64_490`
9×	`difference-of-squares_binary64_383`
7×	`pow1_binary64_472` `add-exp-log_binary64_449`
6×	`log-pow_binary64_500` `sqr-pow_binary64_386` `add-log-exp_binary64_450`
4×	`sub-neg_binary64_407` `add-cbrt-cube_binary64_447`
3×	`distribute-lft-out--_binary64_368` `rem-log-exp_binary64_452` `cbrt-div_binary64_443` `exp-sum_binary64_457` `exp-diff_binary64_459` `log-div_binary64_498` `pow1/3_binary64_493`
1×	`flip3--_binary64_418` `diff-log_binary64_503` `distribute-lft-out_binary64_367` `flip--_binary64_389`

Counts

4 → 77

Calls

4 calls:

15.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
13.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
12.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
12.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

series2.2s (15.4%)

Counts

4 → 12

Calls

4 calls:

675.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
666.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
660.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
246.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

simplify108.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

89 → 89

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4894	2895
1	4894	2895

prune357.0ms (2.5%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	89	0	89
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	89	5	94

Merged error: 20.4b

Counts

94 → 5

Compiler

Compiled 5602 to 4299 computations (23.3% saved)

regimes129.0ms (0.9%)

Compiler: Compiled 778 to 636 computations (18.3% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 4 computations (-33.3% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	75	114
1	75	114

end0.0ms (0%)

sample6.5s (44.4%)

Algorithm

1×

intervals

Results

1.4s	2678×	body	1024	valid
1.2s	1724×	body	2048	valid
1.2s	1360×	body	1024	nan
480.0ms	2529×	body	128	overflowed
440.0ms	1229×	body	512	valid
359.0ms	705×	body	512	nan
179.0ms	186×	body	1024	invalid
169.0ms	1770×	body	128	valid
133.0ms	599×	body	256	valid
112.0ms	217×	body	512	invalid
94.0ms	361×	body	256	nan
57.0ms	763×	body	128	nan
39.0ms	144×	body	256	invalid
38.0ms	264×	body	128	invalid
5.0ms	4×	body	2048	nan

Compiler

Compiled 247 to 193 computations (21.9% saved)

Details

analyze1.1s (7.5%)

sample206.0ms (1.4%)

simplify231.0ms (1.6%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite14.0ms (0.1%)

series278.0ms (1.9%)

simplify68.0ms (0.5%)

prune44.0ms (0.3%)

localize11.0ms (0.1%)

rewrite34.0ms (0.2%)

series848.0ms (5.8%)

simplify58.0ms (0.4%)

prune79.0ms (0.5%)

localize14.0ms (0.1%)

rewrite64.0ms (0.4%)

series1.8s (12.1%)

simplify107.0ms (0.7%)

prune230.0ms (1.6%)

localize17.0ms (0.1%)

rewrite67.0ms (0.5%)

series2.2s (15.4%)

simplify108.0ms (0.7%)

prune357.0ms (2.5%)

regimes129.0ms (0.9%)

bsearch2.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample6.5s (44.4%)

Profiling