Details

analyze149.0ms (4.5%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	289	13
1	289	13
0	1	1
1	1	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
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0%	24.9%	13
75%	0%	25%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample30.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify18.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (12.0ms)

Iter	Nodes	Cost
0	289	13
1	289	13

prune2.0ms (0.1%)

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

0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))
0.1b	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

rewrite55.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_1805`
4×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-log-exp_binary64_1822` `add-cbrt-cube_binary64_1819` `add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
3×	`associate-l_binary64_1724` `associate-r_binary64_1723`
2×	`flip3-+_binary64_1786` `associate-*r/_binary64_1725` `flip-+_binary64_1757`
1×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816` `unswap-sqr_binary64_1751` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `*-commutative_binary64_1714` `sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

2 → 33

Calls

2 calls:

6.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
3.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

Compiler

Compiled 542 to 433 computations (20.1% saved)

series90.0ms (2.7%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

51.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
29.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

Compiler

Compiled 256 to 223 computations (12.9% saved)

simplify95.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4870	482
1	4870	482

prune76.0ms (2.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	41	4	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	5	46

Error

0.0b

Counts

46 → 5

Compiler

Compiled 641 to 508 computations (20.7% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 1080863910568919/9007199254740992 (*.f64 x x)))
0.2b	(.f64 1080863910568919/9007199254740992 (.f64 x x))

rewrite42.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
4×	`add-log-exp_binary64_1822` `add-sqr-sqrt_binary64_1805`
3×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `add-cube-cbrt_binary64_1818` `cbrt-unprod_binary64_1816` `-un-lft-identity_binary64_1783` `associate-l*_binary64_1724`
1×	`unswap-sqr_binary64_1751` `associate-r_binary64_1723` `*-commutative_binary64_1714` `sum-log_binary64_1874` `flip3-+_binary64_1786` `flip-+_binary64_1757` `+-commutative_binary64_1713`

Counts

2 → 30

Calls

2 calls:

6.0ms	(.f64 1080863910568919/9007199254740992 (.f64 x x))
4.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 1080863910568919/9007199254740992 (*.f64 x x)))

Compiler

Compiled 549 to 366 computations (33.3% saved)

series100.0ms (3%)

Error

0.0b

Counts

2 → 9

Calls

2 calls:

57.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 1080863910568919/9007199254740992 (*.f64 x x)))
38.0ms	(.f64 1080863910568919/9007199254740992 (.f64 x x))

Compiler

Compiled 236 to 210 computations (11% saved)

simplify68.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4920	400
1	4920	400

prune36.0ms (1.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	39	5	44

Error

0.0b

Counts

44 → 5

Compiler

Compiled 573 to 422 computations (26.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (.f64 x (sqrt.f64 1080863910568919/9007199254740992))))
0.1b	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
0.1b	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
0.3b	(.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (*.f64 x (sqrt.f64 1080863910568919/9007199254740992)))

rewrite151.0ms (4.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

47×	`pow1_binary64_1844`
20×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
19×	`pow-prod-down_binary64_1854`
18×	`add-sqr-sqrt_binary64_1805`
13×	`associate-r_binary64_1723`
10×	`prod-exp_binary64_1832` `add-cube-cbrt_binary64_1818` `cbrt-unprod_binary64_1816` `*-un-lft-identity_binary64_1783`
8×	`sqrt-prod_binary64_1799`
7×	`associate-l_binary64_1724`
6×	`add-log-exp_binary64_1822`
4×	`pow-prod-up_binary64_1853` `pow-sqr_binary64_1756` `unswap-sqr_binary64_1751`
3×	`*-commutative_binary64_1714`
2×	`pow-plus_binary64_1846`
1×	`pow2_binary64_1864` `swap-sqr_binary64_1750` `sum-log_binary64_1874` `flip3-+_binary64_1786` `flip-+_binary64_1757` `+-commutative_binary64_1713`

Counts

4 → 89

Calls

4 calls:

9.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
9.0ms	(.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (*.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
5.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
4.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (.f64 x (sqrt.f64 1080863910568919/9007199254740992))))

Compiler

Compiled 1891 to 1523 computations (19.5% saved)

series237.0ms (7.2%)

Error

0.0b

Counts

4 → 15

Calls

4 calls:

95.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (.f64 x (sqrt.f64 1080863910568919/9007199254740992))))
65.0ms	(.f64 (.f64 x (sqrt.f64 1080863910568919/9007199254740992)) (*.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
33.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
32.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))

Compiler

Compiled 572 to 504 computations (11.9% saved)

simplify140.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

104 → 104

Iterations

Useful iterations: 0 (109.0ms)

Iter	Nodes	Cost
0	4992	856
1	4992	856

prune123.0ms (3.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	103	6	109

Error

Counts

109 → 6

Compiler

Compiled 1713 to 1351 computations (21.1% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
0.3b	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)
0.4b	(.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
7.4b	(/.f64 (.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

rewrite157.0ms (4.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
15×	`add-sqr-sqrt_binary64_1805`
13×	`pow1_binary64_1844`
11×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
9×	`associate-l_binary64_1724`
7×	`associate-r_binary64_1723`
6×	`prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
5×	`pow-prod-down_binary64_1854`
4×	`add-log-exp_binary64_1822` `associate-*r/_binary64_1725`
3×	`times-frac_binary64_1789` `flip3--_binary64_1787` `flip--_binary64_1758` `associate-/r_binary64_1727` `-commutative_binary64_1714`
2×	`div-exp_binary64_1834` `cbrt-undiv_binary64_1817` `associate-/l/_binary64_1730` `associate-/r/_binary64_1729` `unswap-sqr_binary64_1751` `sub-neg_binary64_1776` `distribute-rgt-in_binary64_1733` `cancel-sign-sub-inv_binary64_1749` `distribute-lft-in_binary64_1732`
1×	`frac-2neg_binary64_1794` `clear-num_binary64_1782` `div-inv_binary64_1780` `associate-/l*_binary64_1728`

Counts

4 → 85

Calls

4 calls:

13.0ms	(/.f64 (.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
8.0ms	(.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
5.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
4.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

Compiler

Compiled 2126 to 1615 computations (24% saved)

series227.0ms (6.9%)

Error

Counts

4 → 18

Calls

4 calls:

97.0ms	(/.f64 (.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
69.0ms	(.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
29.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
16.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

Compiler

Compiled 670 to 575 computations (14.2% saved)

simplify127.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4891	1315
1	4891	1315

prune145.0ms (4.4%)

Pruning

6 alts after pruning (2 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	2	2
Picked	0	1	1
Done	0	3	3
Total	103	6	109

Error

Counts

109 → 6

Compiler

Compiled 2080 to 1639 computations (21.2% saved)

regimes175.0ms (5.3%)

Accuracy

Total 0.1b remaining (94.9%)

Threshold costs 0.1b (94.9%)

Compiler

Compiled 1465 to 1237 computations (15.6% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

end0.0ms (0%)

sample1.0s (30.8%)

Algorithm

1×

intervals

Results

244.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 462 to 391 computations (15.4% saved)

Details

analyze149.0ms (4.5%)

sample30.0ms (0.9%)

simplify18.0ms (0.5%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite55.0ms (1.7%)

series90.0ms (2.7%)

simplify95.0ms (2.9%)

prune76.0ms (2.3%)

localize7.0ms (0.2%)

rewrite42.0ms (1.3%)

series100.0ms (3%)

simplify68.0ms (2.1%)

prune36.0ms (1.1%)

localize8.0ms (0.2%)

rewrite151.0ms (4.6%)

series237.0ms (7.2%)

simplify140.0ms (4.3%)

prune123.0ms (3.7%)

localize11.0ms (0.3%)

rewrite157.0ms (4.8%)

series227.0ms (6.9%)

simplify127.0ms (3.9%)

prune145.0ms (4.4%)

regimes175.0ms (5.3%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (30.8%)

Profiling