Details

analyze1.1s (7.1%)

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
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)

sample197.0ms (1.3%)

Algorithm

1×

intervals

Results

40.0ms	45×	body	1024	nan
36.0ms	72×	body	1024	valid
35.0ms	52×	body	2048	valid
17.0ms	94×	body	128	overflowed
14.0ms	27×	body	512	nan
14.0ms	39×	body	512	valid
7.0ms	75×	body	128	valid
6.0ms	6×	body	1024	invalid
4.0ms	18×	body	256	valid
4.0ms	14×	body	256	nan
2.0ms	5×	body	512	invalid
2.0ms	8×	body	256	invalid
2.0ms	33×	body	128	nan
1.0ms	6×	body	128	invalid

Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify213.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4814	19
1	4814	19

prune2.0ms (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: 29.0b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.1b	(pow.f64 x (/.f64 1 n))
0.1b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
2.4b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite30.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64_445`
30×	`*-un-lft-identity_binary64_423`
26×	`pow-unpow_binary64_500`
21×	`add-cube-cbrt_binary64_458`
20×	`unpow-prod-down_binary64_502`
18×	`times-frac_binary64_429`
9×	`difference-of-squares_binary64_392` `sqr-pow_binary64_395`
7×	`cancel-sign-sub-inv_binary64_389`
5×	`pow1_binary64_484` `add-exp-log_binary64_461` `add-log-exp_binary64_462`
3×	`distribute-lft-out--_binary64_375` `add-cbrt-cube_binary64_459`
2×	`pow-to-exp_binary64_492` `distribute-lft-out_binary64_374` `pow-exp_binary64_491` `pow-pow_binary64_495` `div-inv_binary64_420`
1×	`sub-neg_binary64_416` `diff-log_binary64_515` `flip3--_binary64_427` `flip--_binary64_398`

Counts

3 → 85

Calls

3 calls:

12.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
6.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))
4.0ms	(pow.f64 x (/.f64 1 n))

series448.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

266.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
99.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))
83.0ms	(pow.f64 x (/.f64 1 n))

simplify93.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4899	1701
1	4899	1701

prune387.0ms (2.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	86	8	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	87	8	95

Merged error: 20.4b

Counts

95 → 8

Compiler

Compiled 4344 to 3262 computations (24.9% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.1b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
2.4b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.4b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.4b	(-.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

54×	`add-sqr-sqrt_binary64_445`
43×	`unpow-prod-down_binary64_502`
41×	`*-un-lft-identity_binary64_423`
27×	`difference-of-squares_binary64_392`
22×	`sqr-pow_binary64_395`
21×	`cancel-sign-sub-inv_binary64_389`
18×	`add-cube-cbrt_binary64_458`
13×	`pow-unpow_binary64_500`
10×	`add-log-exp_binary64_462`
9×	`times-frac_binary64_429` `distribute-lft-out--_binary64_375`
5×	`pow1_binary64_484` `add-exp-log_binary64_461`
4×	`distribute-lft-out_binary64_374` `add-cbrt-cube_binary64_459`
3×	`sub-neg_binary64_416` `diff-log_binary64_515` `flip3--_binary64_427` `flip--_binary64_398`
1×	`pow-to-exp_binary64_492` `pow-exp_binary64_491` `pow-pow_binary64_495` `div-inv_binary64_420`

Counts

4 → 118

Calls

4 calls:

14.0ms	(-.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)))
12.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
7.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))

series797.0ms (5.2%)

Counts

4 → 12

Calls

4 calls:

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)))
223.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
95.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4903	3149
1	4903	3149

prune496.0ms (3.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	127	3	130
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	128	10	138

Merged error: 20.3b

Counts

138 → 10

Compiler

Compiled 8749 to 6407 computations (26.8% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 x)
2.4b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.4b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
3.2b	(+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (.f64 (neg.f64 (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 n))) (pow.f64 (cbrt.f64 x) (/.f64 1 n))))

rewrite49.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64_445`
26×	`unpow-prod-down_binary64_502`
23×	`*-un-lft-identity_binary64_423`
18×	`difference-of-squares_binary64_392`
14×	`cancel-sign-sub-inv_binary64_389` `sqr-pow_binary64_395`
10×	`add-log-exp_binary64_462`
9×	`add-cube-cbrt_binary64_458`
6×	`distribute-lft-out--_binary64_375`
4×	`pow1_binary64_484` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
3×	`cbrt-prod_binary64_454`
2×	`sub-neg_binary64_416` `diff-log_binary64_515` `distribute-lft-out_binary64_374` `flip3--_binary64_427` `flip--_binary64_398`
1×	`flip-+_binary64_397` `+-commutative_binary64_353` `pow1/3_binary64_505` `flip3-+_binary64_426` `unsub-neg_binary64_417` `distribute-lft-neg-out_binary64_382` `sum-log_binary64_514`

Counts

4 → 83

Calls

4 calls:

12.0ms	(-.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)))
8.0ms	(+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (.f64 (neg.f64 (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 n))) (pow.f64 (cbrt.f64 x) (/.f64 1 n))))
1.0ms	(cbrt.f64 x)

series1.1s (7.4%)

Counts

4 → 12

Calls

4 calls:

537.0ms	(+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (.f64 (neg.f64 (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 n))) (pow.f64 (cbrt.f64 x) (/.f64 1 n))))
234.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
225.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
141.0ms	(cbrt.f64 x)

simplify72.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4985	2738
1	4985	2738

prune415.0ms (2.7%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	92	3	95
Fresh	2	7	9
Picked	1	0	1
Done	0	0	0
Total	95	10	105

Merged error: 20.3b

Counts

105 → 10

Compiler

Compiled 8491 to 5905 computations (30.5% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

2.4b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.4b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.4b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
3.2b	(+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (.f64 (neg.f64 (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 n))) (pow.f64 (cbrt.f64 x) (/.f64 1 n))))

rewrite75.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

46×	`add-sqr-sqrt_binary64_445`
39×	`unpow-prod-down_binary64_502`
31×	`*-un-lft-identity_binary64_423`
27×	`difference-of-squares_binary64_392`
21×	`cancel-sign-sub-inv_binary64_389` `sqr-pow_binary64_395`
12×	`add-log-exp_binary64_462`
10×	`add-cube-cbrt_binary64_458`
9×	`distribute-lft-out--_binary64_375`
4×	`pow1_binary64_484` `add-exp-log_binary64_461` `add-cbrt-cube_binary64_459`
3×	`sub-neg_binary64_416` `diff-log_binary64_515` `distribute-lft-out_binary64_374` `flip3--_binary64_427` `flip--_binary64_398`
1×	`flip-+_binary64_397` `+-commutative_binary64_353` `flip3-+_binary64_426` `unsub-neg_binary64_417` `distribute-lft-neg-out_binary64_382` `sum-log_binary64_514`

Counts

4 → 102

Calls

4 calls:

12.0ms	(-.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)))
12.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
8.0ms	(+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (.f64 (neg.f64 (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 n))) (pow.f64 (cbrt.f64 x) (/.f64 1 n))))

series1.3s (8.2%)

Counts

4 → 12

Calls

4 calls:

548.0ms	(+.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (.f64 (neg.f64 (pow.f64 (.f64 (cbrt.f64 x) (cbrt.f64 x)) (/.f64 1 n))) (pow.f64 (cbrt.f64 x) (/.f64 1 n))))
246.0ms	(-.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)))
227.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

simplify76.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4968	3577
1	4968	3577

prune903.0ms (5.9%)

Pruning

12 alts after pruning (12 fresh and 0 done)

	Pruned	Kept	Total
New	111	3	114
Fresh	0	9	9
Picked	1	0	1
Done	0	0	0
Total	112	12	124

Merged error: 20.3b

Counts

124 → 12

Compiler

Compiled 14692 to 10387 computations (29.3% saved)

regimes269.0ms (1.8%)

Compiler: Compiled 2818 to 2136 computations (24.2% saved)

bsearch3.0ms (0%)

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

simplify5.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	117	272
1	117	272

end0.0ms (0%)

sample7.1s (46.1%)

Algorithm

1×

intervals

Results

1.4s	2709×	body	1024	valid
1.3s	1471×	body	1024	nan
1.2s	1692×	body	2048	valid
514.0ms	2688×	body	128	overflowed
438.0ms	1258×	body	512	valid
401.0ms	778×	body	512	nan
176.0ms	179×	body	1024	invalid
176.0ms	1774×	body	128	valid
121.0ms	567×	body	256	valid
119.0ms	231×	body	512	invalid
97.0ms	388×	body	256	nan
66.0ms	847×	body	128	nan
48.0ms	174×	body	256	invalid
41.0ms	289×	body	128	invalid
8.0ms	6×	body	2048	nan

Compiler

Compiled 820 to 612 computations (25.4% saved)

Details

analyze1.1s (7.1%)

sample197.0ms (1.3%)

simplify213.0ms (1.4%)

prune2.0ms (0%)

localize8.0ms (0.1%)

rewrite30.0ms (0.2%)

series448.0ms (2.9%)

simplify93.0ms (0.6%)

prune387.0ms (2.5%)

localize12.0ms (0.1%)

rewrite64.0ms (0.4%)

series797.0ms (5.2%)

simplify104.0ms (0.7%)

prune496.0ms (3.2%)

localize26.0ms (0.2%)

rewrite49.0ms (0.3%)

series1.1s (7.4%)

simplify72.0ms (0.5%)

prune415.0ms (2.7%)

localize34.0ms (0.2%)

rewrite75.0ms (0.5%)

series1.3s (8.2%)

simplify76.0ms (0.5%)

prune903.0ms (5.9%)

regimes269.0ms (1.8%)

bsearch3.0ms (0%)

simplify5.0ms (0%)

end0.0ms (0%)

sample7.1s (46.1%)

Profiling