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
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 (0.3%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 19 to 18 computations (5.3% saved)

simplify218.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (17.0ms)

Iter	Nodes	Cost
0	279	13
1	279	13

prune4.0ms (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)

localize16.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b

(-.f64 1 (*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))

0.0b

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

0.1b

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

rewrite21.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-log-exp_binary64_1481` `add-sqr-sqrt_binary64_1464`
5×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
3×	`associate-r_binary64_1382` `associate-l_binary64_1383`
2×	`associate-*r/_binary64_1384` `distribute-lft-in_binary64_1391` `flip3-+_binary64_1445` `distribute-rgt-in_binary64_1392` `flip-+_binary64_1416` `associate--r+_binary64_1378`
1×	`cancel-sign-sub-inv_binary64_1408` `cbrt-unprod_binary64_1475` `sum-log_binary64_1533` `sub-neg_binary64_1435` `flip3--_binary64_1446` `+-commutative_binary64_1372` `pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `flip--_binary64_1417` `diff-log_binary64_1534` `prod-exp_binary64_1491` `unswap-sqr_binary64_1410`

Counts

3 → 47

Calls

3 calls:

11.0ms

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

3.0ms

(-.f64 1 (*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))

3.0ms

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

series205.0ms (5.3%)

Counts

3 → 9

Calls

3 calls:

128.0ms

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

49.0ms

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

27.0ms

(-.f64 1 (*.f64 x (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))

simplify104.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4925	748
1	4925	748

prune61.0ms (1.6%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	51	5	56
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	51	6	57

Merged error: 0.0b

Counts

57 → 6

Compiler

Compiled 876 to 698 computations (20.3% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))) (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))) (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
0.8b	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
0.8b	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
0.8b	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

rewrite83.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`cbrt-div_binary64_1474`
32×	`associate-*r/_binary64_1384`
30×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
28×	`frac-times_binary64_1452`
14×	`associate-*l/_binary64_1385`
13×	`add-exp-log_binary64_1480` `pow1_binary64_1503`
12×	`cbrt-prod_binary64_1473`
9×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
8×	`add-cbrt-cube_binary64_1478`
6×	`associate-r_binary64_1382` `cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491`
4×	`add-log-exp_binary64_1481`
3×	`pow1/3_binary64_1524`
1×	`associate-l_binary64_1383` `*-commutative_binary64_1373`

Counts

4 → 89

Calls

4 calls:

38.0ms	(.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))) (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))) (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
6.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
6.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
5.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

series335.0ms (8.8%)

Counts

4 → 12

Calls

4 calls:

119.0ms	(.f64 (.f64 x (.f64 (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))) (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))) (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992))))
88.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
78.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
50.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

simplify146.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

101 → 101

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4968	2608
1	4968	2608

prune258.0ms (6.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	99	2	101
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	101	6	107

Merged error: 0.0b

Counts

107 → 6

Compiler

Compiled 3223 to 2682 computations (16.8% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.8b	(cbrt.f64 (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
0.8b	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
0.8b	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
1.2b	(cbrt.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))

rewrite35.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`cbrt-prod_binary64_1473`
8×	`cbrt-div_binary64_1474` `add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `pow1/3_binary64_1524` `pow1_binary64_1503`
2×	`flip3--_binary64_1446` `flip--_binary64_1417` `flip3-+_binary64_1445` `flip-+_binary64_1416`

Counts

4 → 52

Calls

4 calls:

6.0ms	(cbrt.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
5.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
5.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
5.0ms	(cbrt.f64 (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

series368.0ms (9.6%)

Counts

4 → 12

Calls

4 calls:

162.0ms	(cbrt.f64 (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
84.0ms	(cbrt.f64 (-.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
65.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
57.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

simplify123.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4832	1190
1	4832	1190

prune193.0ms (5%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	64	6	70

Merged error: 0.0b

Counts

70 → 6

Compiler

Compiled 2688 to 2194 computations (18.4% saved)

localize15.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.8b	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
0.8b	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
0.8b	(cbrt.f64 (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))
1.2b	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))) 2))

rewrite25.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

29×	`cbrt-prod_binary64_1473`
11×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
8×	`cbrt-div_binary64_1474`
6×	`unpow-prod-down_binary64_1521`
4×	`add-cbrt-cube_binary64_1478` `add-log-exp_binary64_1481` `add-exp-log_binary64_1480` `pow1/3_binary64_1524` `pow1_binary64_1503`
3×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
1×	`unpow2_binary64_1507` `sqr-pow_binary64_1414`

Counts

4 → 61

Calls

4 calls:

5.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))) 2))
3.0ms	(cbrt.f64 (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))
3.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
3.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))

series302.0ms (7.9%)

Counts

4 → 12

Calls

4 calls:

88.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
75.0ms	(cbrt.f64 (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))))
75.0ms	(cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992)))
64.0ms	(cbrt.f64 (pow.f64 (cbrt.f64 (+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))) 2))

simplify121.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4790	1372
1	4790	1372

prune222.0ms (5.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	73	6	79

Merged error: 0.0b

Counts

79 → 6

Compiler

Compiled 2701 to 2337 computations (13.5% saved)

regimes119.0ms (3.1%)

Compiler: Compiled 1078 to 915 computations (15.1% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	64	13
1	64	13

end0.0ms (0%)

sample800.0ms (20.9%)

Algorithm

1×

intervals

Results

264.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 367 to 313 computations (14.7% saved)

Details

analyze4.0ms (0.1%)

sample11.0ms (0.3%)

simplify218.0ms (5.7%)

prune4.0ms (0.1%)

localize16.0ms (0.4%)

rewrite21.0ms (0.5%)

series205.0ms (5.3%)

simplify104.0ms (2.7%)

prune61.0ms (1.6%)

localize20.0ms (0.5%)

rewrite83.0ms (2.2%)

series335.0ms (8.8%)

simplify146.0ms (3.8%)

prune258.0ms (6.7%)

localize19.0ms (0.5%)

rewrite35.0ms (0.9%)

series368.0ms (9.6%)

simplify123.0ms (3.2%)

prune193.0ms (5%)

localize15.0ms (0.4%)

rewrite25.0ms (0.7%)

series302.0ms (7.9%)

simplify121.0ms (3.2%)

prune222.0ms (5.8%)

regimes119.0ms (3.1%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample800.0ms (20.9%)

Profiling