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
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)

sample208.0ms (1.6%)

Algorithm

1×

intervals

Results

48.0ms	87×	body	1024	valid
40.0ms	52×	body	1024	nan
35.0ms	58×	body	2048	valid
15.0ms	76×	body	128	overflowed
13.0ms	34×	body	512	valid
10.0ms	24×	body	256	valid
9.0ms	21×	body	512	nan
7.0ms	6×	body	1024	invalid
5.0ms	53×	body	128	valid
4.0ms	8×	body	512	invalid
3.0ms	11×	body	256	nan
2.0ms	12×	body	128	invalid
1.0ms	22×	body	128	nan
1.0ms	1×	body	2048	nan
1.0ms	3×	body	256	invalid

Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify142.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	4831	19
1	4831	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

Error

32.5b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize7.0ms (0.1%)

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))
2.3b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

rewrite29.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

33×	`add-sqr-sqrt_binary64_100`
30×	`*-un-lft-identity_binary64_78`
26×	`pow-unpow_binary64_155`
21×	`add-cube-cbrt_binary64_113`
20×	`unpow-prod-down_binary64_157`
18×	`times-frac_binary64_84`
9×	`sqr-pow_binary64_50` `difference-of-squares_binary64_47`
7×	`cancel-sign-sub-inv_binary64_44`
5×	`add-log-exp_binary64_117` `add-exp-log_binary64_116` `pow1_binary64_139`
3×	`add-cbrt-cube_binary64_114` `distribute-lft-out--_binary64_30`
2×	`pow-exp_binary64_146` `pow-to-exp_binary64_147` `div-inv_binary64_75` `pow-pow_binary64_150` `distribute-lft-out_binary64_29`
1×	`flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `sub-neg_binary64_71`

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))

series227.0ms (1.7%)

Counts

3 → 9

Calls

3 calls:

129.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
54.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))
44.0ms	(pow.f64 x (/.f64 1 n))

simplify80.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4971	1731
1	4971	1731

prune116.0ms (0.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	89	5	94
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	90	5	95

Error

22.8b

Counts

95 → 5

Compiler

Compiled 2022 to 1405 computations (30.5% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
0.0b	(pow.f64 x (/.f64 1 n))
2.3b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.3b	(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))))

rewrite52.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`add-sqr-sqrt_binary64_100`
42×	`*-un-lft-identity_binary64_78`
33×	`unpow-prod-down_binary64_157`
26×	`add-cube-cbrt_binary64_113` `pow-unpow_binary64_155`
18×	`times-frac_binary64_84` `difference-of-squares_binary64_47`
16×	`sqr-pow_binary64_50` `log-pow_binary64_167`
15×	`exp-prod_binary64_130`
14×	`cancel-sign-sub-inv_binary64_44`
11×	`log-prod_binary64_164`
8×	`exp-sum_binary64_124`
7×	`pow1_binary64_139`
6×	`add-log-exp_binary64_117` `distribute-lft-out--_binary64_30` `add-exp-log_binary64_116`
4×	`add-cbrt-cube_binary64_114`
3×	`distribute-lft-out_binary64_29`
2×	`pow-exp_binary64_146` `pow-to-exp_binary64_147` `div-inv_binary64_75` `pow-pow_binary64_150` `sub-neg_binary64_71`
1×	`flip3--_binary64_82` `diff-log_binary64_170` `flip--_binary64_53` `exp-diff_binary64_126` `rem-log-exp_binary64_119` `log-div_binary64_165`

Counts

4 → 121

Calls

4 calls:

16.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
14.0ms	(log.f64 (exp.f64 (-.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))

series487.0ms (3.7%)

Counts

4 → 12

Calls

4 calls:

262.0ms	(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))))
128.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
52.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))
45.0ms	(pow.f64 x (/.f64 1 n))

simplify95.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5084	2592

prune168.0ms (1.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	131	7	138

Error

22.8b

Counts

138 → 7

Compiler

Compiled 3126 to 2238 computations (28.4% saved)

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

2.3b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.3b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.3b	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
2.3b	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))

rewrite64.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64_100`
32×	`unpow-prod-down_binary64_157`
30×	`*-un-lft-identity_binary64_78`
28×	`log-prod_binary64_164` `cancel-sign-sub-inv_binary64_44`
22×	`cbrt-prod_binary64_109`
18×	`difference-of-squares_binary64_47`
16×	`exp-sum_binary64_124` `add-cube-cbrt_binary64_113` `sqr-pow_binary64_50`
8×	`add-log-exp_binary64_117`
6×	`distribute-lft-out--_binary64_30` `add-exp-log_binary64_116` `pow1_binary64_139`
4×	`add-cbrt-cube_binary64_114` `log-pow_binary64_167` `sub-neg_binary64_71`
2×	`cbrt-div_binary64_110` `flip3--_binary64_82` `diff-log_binary64_170` `pow1/3_binary64_160` `flip--_binary64_53` `exp-diff_binary64_126` `rem-log-exp_binary64_119` `log-div_binary64_165` `distribute-lft-out_binary64_29`

Counts

4 → 110

Calls

4 calls:

13.0ms	(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))))))
11.0ms	(-.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)))

series1.0s (7.9%)

Counts

4 → 12

Calls

4 calls:

386.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
378.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
133.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
128.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

simplify74.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5155	3674

prune316.0ms (2.4%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	0	5	5
Picked	1	0	1
Done	1	0	1
Total	121	8	129

Error

22.7b

Counts

129 → 8

Compiler

Compiled 5555 to 4218 computations (24.1% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.2b	(cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))))
2.3b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.3b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
2.3b	(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

39×	`add-sqr-sqrt_binary64_100`
32×	`unpow-prod-down_binary64_157`
29×	`*-un-lft-identity_binary64_78`
28×	`cancel-sign-sub-inv_binary64_44`
22×	`cbrt-prod_binary64_109`
18×	`difference-of-squares_binary64_47`
16×	`exp-sum_binary64_124` `sqr-pow_binary64_50`
15×	`add-cube-cbrt_binary64_113`
14×	`log-prod_binary64_164`
8×	`add-log-exp_binary64_117`
6×	`distribute-lft-out--_binary64_30`
5×	`add-exp-log_binary64_116` `pow1_binary64_139`
4×	`add-cbrt-cube_binary64_114` `sub-neg_binary64_71`
2×	`cbrt-div_binary64_110` `flip3--_binary64_82` `diff-log_binary64_170` `pow1/3_binary64_160` `flip--_binary64_53` `exp-diff_binary64_126` `distribute-lft-out_binary64_29` `log-pow_binary64_167`
1×	`rem-log-exp_binary64_119` `log-div_binary64_165`

Counts

4 → 105

Calls

4 calls:

16.0ms	(cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))))
14.0ms	(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)))

series977.0ms (7.5%)

Counts

4 → 12

Calls

4 calls:

384.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
346.0ms	(cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))))
124.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
123.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

simplify111.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4919	3399
1	4919	3399

prune272.0ms (2.1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	113	4	117
Fresh	2	5	7
Picked	1	0	1
Done	0	0	0
Total	116	9	125

Error

22.6b

Counts

125 → 9

Compiler

Compiled 4930 to 3709 computations (24.8% saved)

regimes352.0ms (2.7%)

Accuracy

Total 1.8b remaining (7.3%)

Threshold costs 0b (0%)

Compiler

Compiled 3682 to 2997 computations (18.6% saved)

bsearch2.0ms (0%)

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

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	76	115
1	76	115

end0.0ms (0%)

sample7.0s (53.8%)

Algorithm

1×

intervals

Results

1.5s	2629×	body	1024	valid
1.1s	1464×	body	1024	nan
1.0s	1757×	body	2048	valid
504.0ms	2575×	body	128	overflowed
438.0ms	1167×	body	512	valid
363.0ms	752×	body	512	nan
190.0ms	1830×	body	128	valid
181.0ms	196×	body	1024	invalid
144.0ms	617×	body	256	valid
129.0ms	243×	body	512	invalid
83.0ms	350×	body	256	nan
51.0ms	811×	body	128	nan
40.0ms	302×	body	128	invalid
40.0ms	143×	body	256	invalid
9.0ms	10×	body	2048	nan

Compiler

Compiled 870 to 699 computations (19.7% saved)

Details

analyze1.1s (8.5%)

sample208.0ms (1.6%)

simplify142.0ms (1.1%)

prune2.0ms (0%)

localize7.0ms (0.1%)

rewrite29.0ms (0.2%)

series227.0ms (1.7%)

simplify80.0ms (0.6%)

prune116.0ms (0.9%)

localize9.0ms (0.1%)

rewrite52.0ms (0.4%)

series487.0ms (3.7%)

simplify95.0ms (0.7%)

prune168.0ms (1.3%)

localize15.0ms (0.1%)

rewrite64.0ms (0.5%)

series1.0s (7.9%)

simplify74.0ms (0.6%)

prune316.0ms (2.4%)

localize14.0ms (0.1%)

rewrite67.0ms (0.5%)

series977.0ms (7.5%)

simplify111.0ms (0.9%)

prune272.0ms (2.1%)

regimes352.0ms (2.7%)

bsearch2.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample7.0s (53.8%)

Profiling