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)

sample206.0ms (1.3%)

Algorithm

1×

intervals

Results

50.0ms	96×	body	1024	valid
43.0ms	47×	body	1024	nan
34.0ms	47×	body	2048	valid
15.0ms	77×	body	128	overflowed
12.0ms	32×	body	512	valid
11.0ms	22×	body	512	nan
6.0ms	62×	body	128	valid
6.0ms	6×	body	1024	invalid
4.0ms	19×	body	256	valid
4.0ms	16×	body	256	nan
3.0ms	6×	body	512	invalid
2.0ms	23×	body	128	nan
2.0ms	6×	body	256	invalid
1.0ms	5×	body	128	invalid

Compiler

Compiled 27 to 25 computations (7.4% saved)

simplify239.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4814	19
1	4814	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: 34.4b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(pow.f64 x (/.f64 1 n))
0.3b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
3.1b	(-.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))

series449.0ms (2.9%)

Counts

3 → 9

Calls

3 calls:

261.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
96.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))
92.0ms	(pow.f64 x (/.f64 1 n))

simplify94.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4899	1701
1	4899	1701

prune206.0ms (1.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	90	4	94
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	90	5	95

Merged error: 22.9b

Counts

95 → 5

Compiler

Compiled 3524 to 2611 computations (25.9% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(pow.f64 x (/.f64 1 n))
0.3b	(pow.f64 (+.f64 x 1) (/.f64 1 n))
3.1b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
3.1b	(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))))

rewrite50.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`add-sqr-sqrt_binary64_445`
42×	`*-un-lft-identity_binary64_423`
33×	`unpow-prod-down_binary64_502`
26×	`add-cube-cbrt_binary64_458` `pow-unpow_binary64_500`
18×	`times-frac_binary64_429` `difference-of-squares_binary64_392`
16×	`log-pow_binary64_512` `sqr-pow_binary64_395`
15×	`exp-prod_binary64_475`
14×	`cancel-sign-sub-inv_binary64_389`
11×	`log-prod_binary64_509`
8×	`exp-sum_binary64_469`
7×	`pow1_binary64_484`
6×	`distribute-lft-out--_binary64_375` `add-exp-log_binary64_461` `add-log-exp_binary64_462`
4×	`add-cbrt-cube_binary64_459`
3×	`distribute-lft-out_binary64_374`
2×	`sub-neg_binary64_416` `pow-to-exp_binary64_492` `pow-exp_binary64_491` `pow-pow_binary64_495` `div-inv_binary64_420`
1×	`diff-log_binary64_515` `exp-diff_binary64_471` `flip3--_binary64_427` `rem-log-exp_binary64_464` `log-div_binary64_510` `flip--_binary64_398`

Counts

4 → 121

Calls

4 calls:

14.0ms	(log.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)))
7.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))
4.0ms	(pow.f64 x (/.f64 1 n))

series885.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

465.0ms	(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))))
243.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
102.0ms	(pow.f64 (+.f64 x 1) (/.f64 1 n))
75.0ms	(pow.f64 x (/.f64 1 n))

simplify66.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	4945	2593
1	4945	2593

prune337.0ms (2.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	131	2	133
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	131	7	138

Merged error: 22.9b

Counts

138 → 7

Compiler

Compiled 3573 to 2590 computations (27.5% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.1b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
3.1b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
3.2b	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
3.2b	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))

rewrite69.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

40×	`add-sqr-sqrt_binary64_445`
32×	`unpow-prod-down_binary64_502`
30×	`*-un-lft-identity_binary64_423`
28×	`cancel-sign-sub-inv_binary64_389` `log-prod_binary64_509`
22×	`cbrt-prod_binary64_454`
18×	`difference-of-squares_binary64_392`
16×	`add-cube-cbrt_binary64_458` `exp-sum_binary64_469` `sqr-pow_binary64_395`
8×	`add-log-exp_binary64_462`
6×	`pow1_binary64_484` `distribute-lft-out--_binary64_375` `add-exp-log_binary64_461`
4×	`sub-neg_binary64_416` `log-pow_binary64_512` `add-cbrt-cube_binary64_459`
2×	`cbrt-div_binary64_455` `diff-log_binary64_515` `exp-diff_binary64_471` `distribute-lft-out_binary64_374` `pow1/3_binary64_505` `flip3--_binary64_427` `rem-log-exp_binary64_464` `log-div_binary64_510` `flip--_binary64_398`

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

series1.8s (11.2%)

Counts

4 → 12

Calls

4 calls:

647.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
640.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
237.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
237.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

simplify89.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5047	3674

prune346.0ms (2.2%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	120	2	122
Fresh	1	3	4
Picked	1	0	1
Done	0	2	2
Total	122	7	129

Merged error: 22.8b

Counts

129 → 7

Compiler

Compiled 5887 to 4482 computations (23.9% saved)

localize19.0ms (0.1%)

Local error

Found 4 expressions with local error:

3.1b	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))
3.2b	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
3.2b	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
3.2b	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))

rewrite76.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`log-prod_binary64_509`
33×	`cbrt-prod_binary64_454`
30×	`add-sqr-sqrt_binary64_445`
28×	`cancel-sign-sub-inv_binary64_389`
25×	`*-un-lft-identity_binary64_423`
24×	`exp-sum_binary64_469`
22×	`unpow-prod-down_binary64_502`
18×	`add-cube-cbrt_binary64_458`
10×	`sqr-pow_binary64_395`
9×	`difference-of-squares_binary64_392`
7×	`pow1_binary64_484` `add-exp-log_binary64_461`
6×	`log-pow_binary64_512` `add-log-exp_binary64_462`
4×	`sub-neg_binary64_416` `add-cbrt-cube_binary64_459`
3×	`cbrt-div_binary64_455` `exp-diff_binary64_471` `pow1/3_binary64_505` `distribute-lft-out--_binary64_375` `rem-log-exp_binary64_464` `log-div_binary64_510`
1×	`diff-log_binary64_515` `distribute-lft-out_binary64_374` `flip3--_binary64_427` `flip--_binary64_398`

Counts

4 → 105

Calls

4 calls:

15.0ms	(-.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))))))
14.0ms	(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))))))

series2.2s (13.9%)

Counts

4 → 12

Calls

4 calls:

659.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
650.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
644.0ms	(log.f64 (cbrt.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n))))))
229.0ms	(-.f64 (pow.f64 (+.f64 x 1) (/.f64 1 n)) (pow.f64 x (/.f64 1 n)))

simplify92.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

117 → 117

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5047	3689

prune480.0ms (3.1%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	117	0	117
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	117	7	124

Merged error: 22.8b

Counts

124 → 7

Compiler

Compiled 7507 to 5788 computations (22.9% saved)

regimes136.0ms (0.9%)

Compiler: Compiled 987 to 803 computations (18.6% 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	59	93
1	59	93

end0.0ms (0%)

sample6.7s (42.9%)

Algorithm

1×

intervals

Results

1.4s	2680×	body	1024	valid
1.3s	1463×	body	1024	nan
1.2s	1742×	body	2048	valid
484.0ms	2502×	body	128	overflowed
434.0ms	1204×	body	512	valid
391.0ms	741×	body	512	nan
185.0ms	1796×	body	128	valid
172.0ms	175×	body	1024	invalid
130.0ms	578×	body	256	valid
118.0ms	217×	body	512	invalid
90.0ms	326×	body	256	nan
65.0ms	749×	body	128	nan
41.0ms	143×	body	256	invalid
35.0ms	239×	body	128	invalid
8.0ms	6×	body	2048	nan

Compiler

Compiled 282 to 222 computations (21.3% saved)

Details

analyze1.1s (7.1%)

sample206.0ms (1.3%)

simplify239.0ms (1.5%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite30.0ms (0.2%)

series449.0ms (2.9%)

simplify94.0ms (0.6%)

prune206.0ms (1.3%)

localize13.0ms (0.1%)

rewrite50.0ms (0.3%)

series885.0ms (5.6%)

simplify66.0ms (0.4%)

prune337.0ms (2.1%)

localize19.0ms (0.1%)

rewrite69.0ms (0.4%)

series1.8s (11.2%)

simplify89.0ms (0.6%)

prune346.0ms (2.2%)

localize19.0ms (0.1%)

rewrite76.0ms (0.5%)

series2.2s (13.9%)

simplify92.0ms (0.6%)

prune480.0ms (3.1%)

regimes136.0ms (0.9%)

bsearch2.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample6.7s (42.9%)

Profiling