Details

analyze4.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	100%	0%	0
0%	100%	0%	1
0%	100%	0%	2
50%	50%	0%	3
75%	25%	0%	4
87.5%	12.5%	0%	5
93.7%	6.2%	0%	6
96.8%	3.1%	0%	7
98.4%	1.6%	0%	8
99.2%	0.8%	0%	9
99.6%	0.4%	0%	10
99.8%	0.2%	0%	11
99.9%	0.1%	0%	12
99.9%	0%	0%	13
99.9%	0%	0%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample17.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms	62×	body	512	valid
4.0ms	150×	body	128	valid
2.0ms	35×	body	256	valid
1.0ms	9×	body	1024	valid

Compiler

Compiled 23 to 22 computations (4.3% saved)

simplify101.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

prune6.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 14.2b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 1 (+.f64 x 1))
0.0b	(/.f64 1 (-.f64 x 1))
2.4b	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))

rewrite58.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

118×	`*-un-lft-identity_binary64_1783`
95×	`add-sqr-sqrt_binary64_1805`
90×	`times-frac_binary64_1789`
43×	`add-cube-cbrt_binary64_1818`
30×	`distribute-lft-out--_binary64_1735`
27×	`cancel-sign-sub-inv_binary64_1749`
23×	`difference-of-squares_binary64_1752`
11×	`add-exp-log_binary64_1821` `associate-/r*_binary64_1727`
10×	`distribute-lft-out_binary64_1734`
8×	`associate-/r/_binary64_1729`
7×	`add-cbrt-cube_binary64_1819` `difference-of-sqr-1_binary64_1753` `div-inv_binary64_1780`
6×	`associate-/l*_binary64_1728`
5×	`add-log-exp_binary64_1822` `pow1_binary64_1844`
4×	`div-exp_binary64_1834` `flip--_binary64_1758`
3×	`flip3--_binary64_1787`
2×	`inv-pow_binary64_1868` `1-exp_binary64_1827` `flip-+_binary64_1757` `pow-flip_binary64_1857` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `rec-exp_binary64_1833`
1×	`diff-log_binary64_1875` `frac-sub_binary64_1792` `flip3-+_binary64_1786` `sub-neg_binary64_1776`

Counts

3 → 151

Calls

3 calls:

34.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
6.0ms	(/.f64 1 (-.f64 x 1))
5.0ms	(/.f64 1 (+.f64 x 1))

series74.0ms (2.6%)

Counts

3 → 22

Calls

3 calls:

37.0ms	(-.f64 (/.f64 1 (+.f64 x 1)) (/.f64 1 (-.f64 x 1)))
19.0ms	(/.f64 1 (-.f64 x 1))
18.0ms	(/.f64 1 (+.f64 x 1))

Compiler

Compiled 307 to 267 computations (13% saved)

simplify83.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

173 → 173

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	5644	2393

prune159.0ms (5.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	172	1	173
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	173	1	174

Merged error: 0.1b

Counts

174 → 1

Compiler

Compiled 2733 to 2216 computations (18.9% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.1b	(/.f64 -2 (+.f64 -1 (*.f64 x x)))

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783` `times-frac_binary64_1789`
3×	`add-cbrt-cube_binary64_1819` `associate-/l_binary64_1728` `add-exp-log_binary64_1821` `associate-/r_binary64_1727`
2×	`associate-/r/_binary64_1729`
1×	`flip-+_binary64_1757` `div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `flip3-+_binary64_1786` `clear-num_binary64_1782` `add-log-exp_binary64_1822` `pow1_binary64_1844`

Counts

1 → 29

Calls

1 calls:

5.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

series21.0ms (0.7%)

Counts

1 → 6

Calls

1 calls:

21.0ms

(/.f64 -2 (+.f64 -1 (*.f64 x x)))

Compiler

Compiled 74 to 70 computations (5.4% saved)

simplify76.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	5371	551

prune34.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	30	5	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	6	36

Merged error: 0.0b

Counts

36 → 6

Compiler

Compiled 568 to 385 computations (32.2% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
14.5b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
14.5b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
14.5b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite28.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`cbrt-div_binary64_1815`
15×	`add-exp-log_binary64_1821`
12×	`pow1_binary64_1844`
9×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `flip-+_binary64_1757` `cbrt-prod_binary64_1814` `pow-flip_binary64_1857` `*-un-lft-identity_binary64_1783` `flip3-+_binary64_1786` `pow1/3_binary64_1865`
8×	`associate-/r/_binary64_1729`
7×	`add-cbrt-cube_binary64_1819`
4×	`div-exp_binary64_1834` `frac-times_binary64_1793` `add-log-exp_binary64_1822`
3×	`associate-/l*_binary64_1728` `prod-exp_binary64_1832` `times-frac_binary64_1789`
2×	`associate-r/_binary64_1725` `1-exp_binary64_1827` `pow-prod-up_binary64_1853` `associate-l/_binary64_1726` `pow-sqr_binary64_1756` `cbrt-undiv_binary64_1817` `pow-prod-down_binary64_1854` `rec-exp_binary64_1833`
1×	`inv-pow_binary64_1868` `cbrt-unprod_binary64_1816` `pow-plus_binary64_1846` `div-inv_binary64_1780` `associate-/r*_binary64_1727` `frac-2neg_binary64_1794` `clear-num_binary64_1782` `pow2_binary64_1864`

Counts

4 → 82

Calls

4 calls:

13.0ms	(/.f64 1 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
2.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series244.0ms (8.4%)

Counts

4 → 21

Calls

4 calls:

65.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
61.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
60.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
57.0ms	(/.f64 1 (.f64 (cbrt.f64 (+.f64 -1 (.f64 x x))) (cbrt.f64 (+.f64 -1 (*.f64 x x)))))

Compiler

Compiled 898 to 743 computations (17.3% saved)

simplify80.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	5636	1424

prune150.0ms (5.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	100	3	103
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	101	8	109

Merged error: 0b

Counts

109 → 8

Compiler

Compiled 2937 to 1952 computations (33.5% saved)

localize8.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(/.f64 -2 (cbrt.f64 (+.f64 -1 (*.f64 x x))))
0.2b	(pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) -2)
14.5b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
14.5b	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

rewrite22.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

24×	`add-sqr-sqrt_binary64_1805` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
21×	`cbrt-prod_binary64_1814`
18×	`times-frac_binary64_1789`
7×	`add-exp-log_binary64_1821`
6×	`cbrt-div_binary64_1815` `unpow-prod-down_binary64_1862` `associate-/r*_binary64_1727`
5×	`add-cbrt-cube_binary64_1819` `pow1_binary64_1844`
4×	`add-log-exp_binary64_1822`
3×	`associate-/l*_binary64_1728` `pow-unpow_binary64_1860` `flip-+_binary64_1757` `flip3-+_binary64_1786` `pow1/3_binary64_1865`
2×	`associate-/r/_binary64_1729` `pow-pow_binary64_1855`
1×	`sqr-pow_binary64_1755` `div-inv_binary64_1780` `cbrt-undiv_binary64_1817` `frac-2neg_binary64_1794` `div-exp_binary64_1834` `clear-num_binary64_1782` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`

Counts

4 → 88

Calls

4 calls:

5.0ms	(/.f64 -2 (cbrt.f64 (+.f64 -1 (*.f64 x x))))
4.0ms	(pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) -2)
3.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
2.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))

series263.0ms (9%)

Counts

4 → 21

Calls

4 calls:

102.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
68.0ms	(pow.f64 (cbrt.f64 (+.f64 -1 (*.f64 x x))) -2)
60.0ms	(cbrt.f64 (+.f64 -1 (*.f64 x x)))
33.0ms	(/.f64 -2 (cbrt.f64 (+.f64 -1 (*.f64 x x))))

Compiler

Compiled 741 to 656 computations (11.5% saved)

simplify119.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (96.0ms)

Iter	Nodes	Cost
0	5234	1873

prune140.0ms (4.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	3	3	6
Picked	0	1	1
Done	0	1	1
Total	109	8	117

Merged error: 0b

Counts

117 → 8

Compiler

Compiled 2522 to 1737 computations (31.1% saved)

regimes104.0ms (3.6%)

Compiler: Compiled 1238 to 960 computations (22.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms (0%)

sample1.1s (37.4%)

Algorithm

1×

intervals

Results

151.0ms	1894×	body	512	valid
138.0ms	4652×	body	128	valid
67.0ms	1043×	body	256	valid
43.0ms	411×	body	1024	valid

Compiler

Compiled 609 to 471 computations (22.7% saved)

Details

analyze4.0ms (0.1%)

sample17.0ms (0.6%)

simplify101.0ms (3.5%)

prune6.0ms (0.2%)

localize7.0ms (0.2%)

rewrite58.0ms (2%)

series74.0ms (2.6%)

simplify83.0ms (2.9%)

prune159.0ms (5.5%)

localize4.0ms (0.1%)

rewrite6.0ms (0.2%)

series21.0ms (0.7%)

simplify76.0ms (2.6%)

prune34.0ms (1.2%)

localize9.0ms (0.3%)

rewrite28.0ms (1%)

series244.0ms (8.4%)

simplify80.0ms (2.8%)

prune150.0ms (5.2%)

localize8.0ms (0.3%)

rewrite22.0ms (0.7%)

series263.0ms (9%)

simplify119.0ms (4.1%)

prune140.0ms (4.8%)

regimes104.0ms (3.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.1s (37.4%)

Profiling