Details

analyze1.1s (14.5%)

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
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
6.0ms	75×	body	128	invalid
3.0ms	62×	body	128	nan

Compiler

Compiled 31 to 28 computations (9.7% saved)

simplify314.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (151.0ms)

Iter	Nodes	Cost
0	4740	19
1	4740	19

prune4.0ms (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)

localize10.0ms (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))))

rewrite36.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

21×	`add-exp-log_binary64_1797`
18×	`add-sqr-sqrt_binary64_1783`
13×	`*-un-lft-identity_binary64_1762` `add-cbrt-cube_binary64_1795`
11×	`add-cube-cbrt_binary64_1794` `associate-r_binary64_1704`
7×	`prod-exp_binary64_1808`
6×	`add-log-exp_binary64_1798` `pow1_binary64_1820` `associate-l_binary64_1705`
4×	`unswap-sqr_binary64_1730` `div-exp_binary64_1810` `unpow-prod-down_binary64_1838`
3×	`times-frac_binary64_1768` `flip3-+_binary64_1765` `associate-/r*_binary64_1708` `flip-+_binary64_1736` `cbrt-unprod_binary64_1792`
2×	`associate-/r/_binary64_1710` `sqr-pow_binary64_1734` `pow-exp_binary64_1827` `cbrt-undiv_binary64_1793` `associate-r/_binary64_1706` `distribute-rgt-in_binary64_1714` `-commutative_binary64_1695` `distribute-lft-in_binary64_1713` `pow-to-exp_binary64_1828` `associate-+r+_binary64_1696`
1×	`frac-2neg_binary64_1773` `pow-prod-down_binary64_1830` `clear-num_binary64_1761` `div-inv_binary64_1759` `+-commutative_binary64_1694` `distribute-lft-out_binary64_1715` `associate-/l*_binary64_1709` `sum-log_binary64_1850`

Counts

4 → 86

Calls

4 calls:

10.0ms	(*.f64 k (+.f64 k 10))
9.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
6.0ms	(*.f64 a (pow.f64 k m))
4.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))

series438.0ms (6%)

Counts

4 → 12

Calls

4 calls:

246.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
107.0ms	(*.f64 a (pow.f64 k m))
66.0ms	(*.f64 k (+.f64 k 10))
18.0ms	(+.f64 1 (*.f64 k (+.f64 k 10)))

simplify56.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4966	1457
1	4966	1457

prune97.0ms (1.3%)

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)

localize15.0ms (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))))

rewrite88.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

146×	`add-sqr-sqrt_binary64_1783`
134×	`times-frac_binary64_1768`
76×	`sqrt-prod_binary64_1777` `*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794`
48×	`associate-r_binary64_1704`
45×	`unpow-prod-down_binary64_1838`
33×	`add-exp-log_binary64_1797`
24×	`associate-l_binary64_1705`
21×	`unswap-sqr_binary64_1730`
19×	`sqr-pow_binary64_1734`
18×	`add-cbrt-cube_binary64_1795`
13×	`div-exp_binary64_1810`
10×	`sqrt-div_binary64_1778`
8×	`prod-exp_binary64_1808` `pow1_binary64_1820`
7×	`associate-/l*_binary64_1709`
6×	`associate-/r/_binary64_1710` `associate-/r*_binary64_1708`
5×	`flip3-+_binary64_1765` `flip-+_binary64_1736` `cbrt-undiv_binary64_1793`
4×	`add-log-exp_binary64_1798` `cbrt-unprod_binary64_1792`
3×	`div-inv_binary64_1759` `pow-exp_binary64_1827` `pow-to-exp_binary64_1828`
2×	`rem-sqrt-square_binary64_1775` `sqrt-pow1_binary64_1779` `pow1/2_binary64_1839`
1×	`frac-2neg_binary64_1773` `frac-times_binary64_1772` `pow-prod-down_binary64_1830` `clear-num_binary64_1761` `associate-l/_binary64_1707` `associate-r/_binary64_1706` `*-commutative_binary64_1695`

Counts

4 → 218

Calls

4 calls:

38.0ms	(.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)))))
4.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
3.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

series441.0ms (6%)

Counts

4 → 12

Calls

4 calls:

252.0ms	(.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))))))
133.0ms	(/.f64 (pow.f64 k m) (sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10)))))
28.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))
27.0ms	(sqrt.f64 (+.f64 1 (*.f64 k (+.f64 k 10))))

simplify122.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

230 → 230

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4958	7864
1	4958	7864

prune408.0ms (5.6%)

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))))

rewrite28.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

38×	`add-exp-log_binary64_1797`
18×	`prod-exp_binary64_1808`
16×	`add-cbrt-cube_binary64_1795`
9×	`cbrt-prod_binary64_1790` `div-exp_binary64_1810` `add-sqr-sqrt_binary64_1783` `*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794`
8×	`cbrt-unprod_binary64_1792`
5×	`cbrt-undiv_binary64_1793`
4×	`add-log-exp_binary64_1798` `pow1_binary64_1820`
3×	`times-frac_binary64_1768` `pow1/3_binary64_1841` `associate-/r*_binary64_1708`
2×	`associate-/r/_binary64_1710` `pow-exp_binary64_1827` `pow-to-exp_binary64_1828`
1×	`frac-2neg_binary64_1773` `flip3-+_binary64_1765` `clear-num_binary64_1761` `flip-+_binary64_1736` `div-inv_binary64_1759` `associate-/l*_binary64_1709`

Counts

4 → 66

Calls

4 calls:

17.0ms	(/.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)

series728.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

274.0ms	(/.f64 (.f64 (.f64 (cbrt.f64 a) (cbrt.f64 a)) (.f64 (pow.f64 k m) (cbrt.f64 a))) (+.f64 1 (.f64 k (+.f64 k 10))))
161.0ms	(cbrt.f64 a)
156.0ms	(cbrt.f64 a)
137.0ms	(cbrt.f64 a)

simplify60.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (43.0ms)

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)

localize14.0ms (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)))))

rewrite37.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-exp-log_binary64_1797`
18×	`sqrt-prod_binary64_1777`
14×	`add-sqr-sqrt_binary64_1783` `add-cbrt-cube_binary64_1795`
12×	`times-frac_binary64_1768` `*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794`
8×	`associate-/r/_binary64_1710` `div-exp_binary64_1810`
6×	`prod-exp_binary64_1808` `associate-/r*_binary64_1708` `pow1_binary64_1820`
4×	`flip3-+_binary64_1765` `flip-+_binary64_1736` `div-inv_binary64_1759` `cbrt-undiv_binary64_1793` `add-log-exp_binary64_1798`
2×	`rem-sqrt-square_binary64_1775` `frac-2neg_binary64_1773` `clear-num_binary64_1761` `pow-exp_binary64_1827` `cbrt-unprod_binary64_1792` `sqrt-pow1_binary64_1779` `pow-to-exp_binary64_1828` `associate-/l*_binary64_1709` `sqrt-div_binary64_1778` `pow1/2_binary64_1839`

Counts

4 → 90

Calls

4 calls:

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

series1.6s (21.2%)

Counts

4 → 12

Calls

4 calls:

534.0ms	(sqrt.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))))
525.0ms	(sqrt.f64 (/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10)))))
247.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))
245.0ms	(/.f64 (.f64 a (pow.f64 k m)) (+.f64 1 (.f64 k (+.f64 k 10))))

simplify49.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	4993	2770
1	4993	2770

prune159.0ms (2.2%)

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)

regimes43.0ms (0.6%)

Compiler: Compiled 342 to 273 computations (20.2% 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%)

sample1.4s (19.6%)

Algorithm

1×

intervals

Results

569.0ms	8000×	body	128	valid
297.0ms	3252×	body	128	invalid
96.0ms	2010×	body	128	nan

Compiler

Compiled 141 to 112 computations (20.6% saved)

Details

analyze1.1s (14.5%)

sample39.0ms (0.5%)

simplify314.0ms (4.3%)

prune4.0ms (0%)

localize10.0ms (0.1%)

rewrite36.0ms (0.5%)

series438.0ms (6%)

simplify56.0ms (0.8%)

prune97.0ms (1.3%)

localize15.0ms (0.2%)

rewrite88.0ms (1.2%)

series441.0ms (6%)

simplify122.0ms (1.7%)

prune408.0ms (5.6%)

localize14.0ms (0.2%)

rewrite28.0ms (0.4%)

series728.0ms (9.9%)

simplify60.0ms (0.8%)

prune75.0ms (1%)

localize14.0ms (0.2%)

rewrite37.0ms (0.5%)

series1.6s (21.2%)

simplify49.0ms (0.7%)

prune159.0ms (2.2%)

regimes43.0ms (0.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.4s (19.6%)

Profiling