Details

analyze1.0s (13.2%)

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
25%	74.9%	0.1%	3
25%	74.9%	0.1%	4
25%	74.9%	0.1%	5
31.2%	68.6%	0.1%	6
32.8%	67.1%	0.1%	7
34.3%	65.5%	0.1%	8
38.2%	61.2%	0.5%	9
39.6%	53%	7.4%	10
40.3%	52.4%	7.4%	11
41.6%	49.6%	8.8%	12
42%	39.9%	18.1%	13
42.3%	39.6%	18.2%	14

Compiler

Compiled 16 to 13 computations (18.8% saved)

sample39.0ms (0.5%)

Algorithm

1×

intervals

Results

18.0ms	256×	body	128	valid
7.0ms	75×	body	128	invalid
3.0ms	62×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify325.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (148.0ms)

Iter	Nodes	Cost
0	4740	19
1	4740	19

prune3.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 3.1b

Counts

2 → 1

Compiler

Compiled 26 to 22 computations (15.4% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 k (+.f64 k 10))
0.0b	(+.f64 1 (*.f64 k (+.f64 k 10)))
0.0b	(*.f64 a (pow.f64 k m))
3.1b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite31.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-exp-log_binary64_2134`
18×	`add-sqr-sqrt_binary64_2120`
13×	`add-cbrt-cube_binary64_2132` `*-un-lft-identity_binary64_2099`
11×	`add-cube-cbrt_binary64_2131` `associate-r_binary64_2041`
7×	`prod-exp_binary64_2145`
6×	`associate-l_binary64_2042` `pow1_binary64_2157` `add-log-exp_binary64_2135`
4×	`unpow-prod-down_binary64_2175` `div-exp_binary64_2147` `unswap-sqr_binary64_2067`
3×	`flip3-+_binary64_2102` `times-frac_binary64_2105` `associate-/r*_binary64_2045` `flip-+_binary64_2073` `cbrt-unprod_binary64_2129`
2×	`sqr-pow_binary64_2071` `cbrt-undiv_binary64_2130` `associate-r/_binary64_2043` `distribute-rgt-in_binary64_2051` `pow-exp_binary64_2164` `-commutative_binary64_2032` `distribute-lft-in_binary64_2050` `pow-to-exp_binary64_2165` `associate-/r/_binary64_2047` `associate-+r+_binary64_2033`
1×	`distribute-lft-out_binary64_2052` `sum-log_binary64_2187` `frac-2neg_binary64_2110` `+-commutative_binary64_2031` `pow-prod-down_binary64_2167` `clear-num_binary64_2098` `associate-/l*_binary64_2046` `div-inv_binary64_2096`

Counts

4 → 86

Calls

4 calls:

8.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
7.0ms	(*.f64 k (+.f64 k 10))
6.0ms	(*.f64 a (pow.f64 k m))
4.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))

series428.0ms (5.6%)

Counts

4 → 12

Calls

4 calls:

247.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
105.0ms	(*.f64 a (pow.f64 k m))
56.0ms	(*.f64 k (+.f64 k 10))
20.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))

simplify56.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4966	1457
1	4966	1457

prune248.0ms (3.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	94	4	98
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	94	5	99

Merged error: 3.0b

Counts

99 → 5

Compiler

Compiled 1911 to 1036 computations (45.8% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
0.0b	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
16.0b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
16.0b	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

rewrite87.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

146×	`add-sqr-sqrt_binary64_2120`
134×	`times-frac_binary64_2105`
76×	`add-cube-cbrt_binary64_2131` `*-un-lft-identity_binary64_2099` `sqrt-prod_binary64_2114`
48×	`associate-r_binary64_2041`
45×	`unpow-prod-down_binary64_2175`
33×	`add-exp-log_binary64_2134`
24×	`associate-l_binary64_2042`
21×	`unswap-sqr_binary64_2067`
19×	`sqr-pow_binary64_2071`
18×	`add-cbrt-cube_binary64_2132`
13×	`div-exp_binary64_2147`
10×	`sqrt-div_binary64_2115`
8×	`pow1_binary64_2157` `prod-exp_binary64_2145`
7×	`associate-/l*_binary64_2046`
6×	`associate-/r/_binary64_2047` `associate-/r*_binary64_2045`
5×	`cbrt-undiv_binary64_2130` `flip3-+_binary64_2102` `flip-+_binary64_2073`
4×	`add-log-exp_binary64_2135` `cbrt-unprod_binary64_2129`
3×	`pow-exp_binary64_2164` `pow-to-exp_binary64_2165` `div-inv_binary64_2096`
2×	`rem-sqrt-square_binary64_2112` `pow1/2_binary64_2176` `sqrt-pow1_binary64_2116`
1×	`associate-r/_binary64_2043` `-commutative_binary64_2032` `associate-*l/_binary64_2044` `frac-2neg_binary64_2110` `pow-prod-down_binary64_2167` `clear-num_binary64_2098` `frac-times_binary64_2109`

Counts

4 → 218

Calls

4 calls:

40.0ms	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
8.0ms	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

series442.0ms (5.8%)

Counts

4 → 12

Calls

4 calls:

246.0ms	(.f64 (/.f64 a (sqrt.f64 (+.f64 1 (.f64 k (+.f64 k 10))))) (/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))))
134.0ms	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
32.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
29.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

simplify128.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4958	7864
1	4958	7864

prune432.0ms (5.7%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	230	0	230
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	230	5	235

Merged error: 3.0b

Counts

235 → 5

Compiler

Compiled 8005 to 5241 computations (34.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
0.6b	(cbrt.f64 a)
3.1b	(/.f64 (.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (pow.f64 k m) (cbrt.f64 a))) (+.f64 1 (.f64 k (+.f64 k 10))))

rewrite26.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-exp-log_binary64_2134`
18×	`prod-exp_binary64_2145`
16×	`add-cbrt-cube_binary64_2132`
9×	`add-sqr-sqrt_binary64_2120` `add-cube-cbrt_binary64_2131` `div-exp_binary64_2147` `*-un-lft-identity_binary64_2099` `cbrt-prod_binary64_2127`
8×	`cbrt-unprod_binary64_2129`
5×	`cbrt-undiv_binary64_2130`
4×	`pow1_binary64_2157` `add-log-exp_binary64_2135`
3×	`pow1/3_binary64_2178` `times-frac_binary64_2105` `associate-/r*_binary64_2045`
2×	`pow-exp_binary64_2164` `pow-to-exp_binary64_2165` `associate-/r/_binary64_2047`
1×	`flip3-+_binary64_2102` `frac-2neg_binary64_2110` `clear-num_binary64_2098` `associate-/l*_binary64_2046` `div-inv_binary64_2096` `flip-+_binary64_2073`

Counts

4 → 66

Calls

4 calls:

15.0ms	(/.f64 (.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (pow.f64 k m) (cbrt.f64 a))) (+.f64 1 (.f64 k (+.f64 k 10))))
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)
1.0ms	(cbrt.f64 a)

series736.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

280.0ms	(/.f64 (.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (pow.f64 k m) (cbrt.f64 a))) (+.f64 1 (.f64 k (+.f64 k 10))))
157.0ms	(cbrt.f64 a)
157.0ms	(cbrt.f64 a)
141.0ms	(cbrt.f64 a)

simplify62.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4953	1161
1	4953	1161

prune75.0ms (1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	78	0	78
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	78	5	83

Merged error: 3.0b

Counts

83 → 5

Compiler

Compiled 1778 to 854 computations (52% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

3.1b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
3.1b	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
7.3b	(sqrt.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))))
7.3b	(sqrt.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))))

rewrite41.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-exp-log_binary64_2134`
18×	`sqrt-prod_binary64_2114`
14×	`add-sqr-sqrt_binary64_2120` `add-cbrt-cube_binary64_2132`
12×	`add-cube-cbrt_binary64_2131` `times-frac_binary64_2105` `*-un-lft-identity_binary64_2099`
8×	`div-exp_binary64_2147` `associate-/r/_binary64_2047`
6×	`pow1_binary64_2157` `prod-exp_binary64_2145` `associate-/r*_binary64_2045`
4×	`cbrt-undiv_binary64_2130` `flip3-+_binary64_2102` `add-log-exp_binary64_2135` `div-inv_binary64_2096` `flip-+_binary64_2073`
2×	`pow-exp_binary64_2164` `pow-to-exp_binary64_2165` `frac-2neg_binary64_2110` `rem-sqrt-square_binary64_2112` `sqrt-div_binary64_2115` `pow1/2_binary64_2176` `clear-num_binary64_2098` `associate-/l*_binary64_2046` `sqrt-pow1_binary64_2116` `cbrt-unprod_binary64_2129`

Counts

4 → 90

Calls

4 calls:

10.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
8.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
7.0ms	(sqrt.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))))
6.0ms	(sqrt.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))))

series1.5s (20.3%)

Counts

4 → 12

Calls

4 calls:

524.0ms	(sqrt.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))))
515.0ms	(sqrt.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))))
255.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
250.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

simplify50.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (22.0ms)

Iter	Nodes	Cost
0	4993	2770
1	4993	2770

prune162.0ms (2.1%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	102	5	107

Merged error: 3.0b

Counts

107 → 5

Compiler

Compiled 3824 to 2154 computations (43.7% saved)

regimes115.0ms (1.5%)

Compiler: Compiled 1248 to 966 computations (22.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	19
1	17	19

end0.0ms (0%)

sample1.5s (20.2%)

Algorithm

1×

intervals

Results

544.0ms	8000×	body	128	valid
281.0ms	3252×	body	128	invalid
92.0ms	2010×	body	128	nan

Compiler

Compiled 332 to 258 computations (22.3% saved)

Details

analyze1.0s (13.2%)

sample39.0ms (0.5%)

simplify325.0ms (4.3%)

prune3.0ms (0%)

localize9.0ms (0.1%)

rewrite31.0ms (0.4%)

series428.0ms (5.6%)

simplify56.0ms (0.7%)

prune248.0ms (3.3%)

localize12.0ms (0.2%)

rewrite87.0ms (1.1%)

series442.0ms (5.8%)

simplify128.0ms (1.7%)

prune432.0ms (5.7%)

localize14.0ms (0.2%)

rewrite26.0ms (0.3%)

series736.0ms (9.6%)

simplify62.0ms (0.8%)

prune75.0ms (1%)

localize12.0ms (0.2%)

rewrite41.0ms (0.5%)

series1.5s (20.3%)

simplify50.0ms (0.6%)

prune162.0ms (2.1%)

regimes115.0ms (1.5%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.5s (20.2%)

Profiling