Details

analyze4.0ms (0.2%)

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
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)

sample11.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify171.0ms (8.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (15.0ms)

Iter	Nodes	Cost
0	279	13
1	279	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

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.3%)

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)))

rewrite11.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1783`
4×	`add-log-exp_binary64_1798` `*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794` `add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820`
3×	`associate-l_binary64_1705` `associate-r_binary64_1704`
2×	`flip3-+_binary64_1765` `flip-+_binary64_1736` `associate-*r/_binary64_1706`
1×	`pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `unswap-sqr_binary64_1730` `+-commutative_binary64_1694` `cbrt-unprod_binary64_1792` `distribute-rgt-in_binary64_1714` `*-commutative_binary64_1695` `distribute-lft-in_binary64_1713` `sum-log_binary64_1850`

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))

series116.0ms (5.9%)

Counts

2 → 6

Calls

2 calls:

74.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
42.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

simplify87.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4813	455
1	4813	455

prune49.0ms (2.5%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	32	7	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	33	7	40

Merged error: 0.0b

Counts

40 → 7

Compiler

Compiled 646 to 517 computations (20% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite12.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820`
4×	`add-log-exp_binary64_1798`
3×	`pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `cbrt-unprod_binary64_1792` `add-sqr-sqrt_binary64_1783` `-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794` `associate-l*_binary64_1705`
1×	`flip3-+_binary64_1765` `flip-+_binary64_1736` `+-commutative_binary64_1694` `-commutative_binary64_1695` `distribute-lft-out_binary64_1715` `sum-log_binary64_1850` `associate-r*_binary64_1704`

Counts

2 → 30

Calls

2 calls:

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

series128.0ms (6.5%)

Counts

2 → 6

Calls

2 calls:

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

simplify82.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4872	375
1	4872	375

prune37.0ms (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	3	3	6
Picked	0	1	1
Done	0	0	0
Total	38	5	43

Merged error: 0b

Counts

43 → 5

Compiler

Compiled 559 to 430 computations (23.1% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite13.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820`
4×	`add-log-exp_binary64_1798` `add-sqr-sqrt_binary64_1783`
3×	`pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `cbrt-unprod_binary64_1792` `-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794` `associate-r*_binary64_1704`
1×	`flip3-+_binary64_1765` `flip-+_binary64_1736` `unswap-sqr_binary64_1730` `+-commutative_binary64_1694` `-commutative_binary64_1695` `associate-l*_binary64_1705` `sum-log_binary64_1850`

Counts

2 → 30

Calls

2 calls:

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

series129.0ms (6.6%)

Counts

2 → 6

Calls

2 calls:

95.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (*.f64 x x) 1080863910568919/9007199254740992))
34.0ms	(.f64 (.f64 x x) 1080863910568919/9007199254740992)

simplify84.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4870	384
1	4870	384

prune35.0ms (1.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	36	5	41

Merged error: 0b

Counts

41 → 5

Compiler

Compiled 551 to 405 computations (26.5% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

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

rewrite34.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-cbrt-cube_binary64_1795` `add-exp-log_binary64_1797` `pow1_binary64_1820`
14×	`add-sqr-sqrt_binary64_1783`
13×	`associate-r_binary64_1704`
10×	`pow-prod-down_binary64_1830` `prod-exp_binary64_1808` `cbrt-unprod_binary64_1792` `*-un-lft-identity_binary64_1762` `add-cube-cbrt_binary64_1794`
7×	`sqrt-prod_binary64_1777` `associate-l_binary64_1705`
6×	`add-log-exp_binary64_1798`
3×	`*-commutative_binary64_1695`
2×	`unswap-sqr_binary64_1730`
1×	`flip3-+_binary64_1765` `flip-+_binary64_1736` `+-commutative_binary64_1694` `sum-log_binary64_1850`

Counts

4 → 75

Calls

4 calls:

10.0ms	(.f64 (.f64 x (*.f64 x (sqrt.f64 1080863910568919/9007199254740992))) (sqrt.f64 1080863910568919/9007199254740992))
7.0ms	(.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
6.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
5.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992))) (sqrt.f64 1080863910568919/9007199254740992)))

series322.0ms (16.4%)

Counts

4 → 12

Calls

4 calls:

125.0ms	(+.f64 (.f64 x 2278821411449471/9007199254740992) (.f64 (.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992))) (sqrt.f64 1080863910568919/9007199254740992)))
86.0ms	(.f64 (.f64 x (*.f64 x (sqrt.f64 1080863910568919/9007199254740992))) (sqrt.f64 1080863910568919/9007199254740992))
61.0ms	(.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
50.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))

simplify81.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4899	871
1	4899	871

prune86.0ms (4.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	87	0	87
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	87	5	92

Merged error: 0b

Counts

92 → 5

Compiler

Compiled 1457 to 1154 computations (20.8% saved)

regimes12.0ms (0.6%)

Compiler: Compiled 72 to 58 computations (19.4% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	76	16
1	76	16

end0.0ms (0%)

sample423.0ms (21.5%)

Algorithm

1×

intervals

Results

209.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 91 to 75 computations (17.6% saved)

Details

analyze4.0ms (0.2%)

sample11.0ms (0.6%)

simplify171.0ms (8.7%)

prune2.0ms (0.1%)

localize6.0ms (0.3%)

rewrite11.0ms (0.6%)

series116.0ms (5.9%)

simplify87.0ms (4.4%)

prune49.0ms (2.5%)

localize7.0ms (0.4%)

rewrite12.0ms (0.6%)

series128.0ms (6.5%)

simplify82.0ms (4.2%)

prune37.0ms (1.9%)

localize7.0ms (0.4%)

rewrite13.0ms (0.7%)

series129.0ms (6.6%)

simplify84.0ms (4.3%)

prune35.0ms (1.8%)

localize9.0ms (0.5%)

rewrite34.0ms (1.7%)

series322.0ms (16.4%)

simplify81.0ms (4.1%)

prune86.0ms (4.4%)

regimes12.0ms (0.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample423.0ms (21.5%)

Profiling