Details

analyze167.0ms (4.5%)

Algorithm

2×	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%	0
0%	100%	0%	1
0%	100%	0%	1
0%	100%	0%	2
0%	100%	0%	2
50%	50%	0%	3
50%	50%	0%	3
75%	25%	0%	4
75%	25%	0%	4
75%	12.5%	12.5%	5
75%	12.5%	12.5%	5
75%	6.2%	18.8%	6
75%	6.2%	18.8%	6
75%	3.1%	21.9%	7
75%	3.1%	21.9%	7
75%	1.6%	23.5%	8
75%	1.6%	23.5%	8
75%	0.8%	24.3%	9
75%	0.8%	24.3%	9
75%	0.4%	24.6%	10
75%	0.4%	24.6%	10
75%	0.2%	24.8%	11
75%	0.2%	24.8%	11
75%	0.1%	24.9%	12
75%	0.1%	24.9%	12
75%	0%	24.9%	13
75%	0%	24.9%	13
75%	0%	25%	14
75%	0%	25%	14

Compiler

Compiled 20 to 18 computations (10% saved)

sample324.0ms (8.7%)

Algorithm

2×

intervals

Results

13.0ms	512×	body	128	valid
4.0ms	174×	body	128	invalid

Compiler

Compiled 3629 to 3628 computations (0% saved)

simplify17.0ms (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)

localize6.0ms (0.1%)

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)))

rewrite56.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_1123`
4×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-log-exp_binary64_1140` `add-cbrt-cube_binary64_1137` `add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
3×	`associate-l_binary64_1042` `associate-r_binary64_1041`
2×	`flip3-+_binary64_1104` `associate-*r/_binary64_1043` `flip-+_binary64_1075`
1×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `*-commutative_binary64_1032` `sum-log_binary64_1192` `+-commutative_binary64_1031`

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)

series137.0ms (3.7%)

Error

0.0b

Counts

2 → 12

Calls

2 calls:

80.0ms	(.f64 x (+.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
46.0ms	(+.f64 2278821411449471/9007199254740992 (*.f64 x 1080863910568919/9007199254740992))

Compiler

Compiled 256 to 223 computations (12.9% saved)

simplify84.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4870	482
1	4870	482

prune53.0ms (1.4%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	4	46

Error

Counts

46 → 4

Compiler

Compiled 612 to 483 computations (21.1% 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))

rewrite47.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
4×	`add-log-exp_binary64_1140` `add-sqr-sqrt_binary64_1123`
3×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `add-cube-cbrt_binary64_1136` `cbrt-unprod_binary64_1134` `-un-lft-identity_binary64_1101` `associate-l*_binary64_1042`
1×	`unswap-sqr_binary64_1069` `associate-r_binary64_1041` `*-commutative_binary64_1032` `sum-log_binary64_1192` `flip3-+_binary64_1104` `flip-+_binary64_1075` `+-commutative_binary64_1031`

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)

series122.0ms (3.3%)

Error

Counts

2 → 9

Calls

2 calls:

77.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 1080863910568919/9007199254740992 (*.f64 x x)))
39.0ms	(.f64 1080863910568919/9007199254740992 (.f64 x x))

Compiler

Compiled 236 to 210 computations (11% saved)

simplify53.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4920	400
1	4920	400

prune39.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	38	1	39
Fresh	1	1	2
Picked	0	1	1
Done	0	1	1
Total	39	4	43

Error

Counts

43 → 4

Compiler

Compiled 556 to 407 computations (26.8% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

rewrite136.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

20×	`pow1_binary64_1162` `add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
14×	`add-sqr-sqrt_binary64_1123`
12×	`associate-l_binary64_1042`
10×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `add-cube-cbrt_binary64_1136` `cbrt-unprod_binary64_1134` `*-un-lft-identity_binary64_1101`
8×	`associate-r_binary64_1041`
7×	`sqrt-prod_binary64_1117`
6×	`add-log-exp_binary64_1140`
3×	`*-commutative_binary64_1032`
2×	`unswap-sqr_binary64_1069`
1×	`sum-log_binary64_1192` `flip3-+_binary64_1104` `flip-+_binary64_1075` `+-commutative_binary64_1031`

Counts

4 → 75

Calls

4 calls:

10.0ms	(.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (*.f64 x (sqrt.f64 1080863910568919/9007199254740992))))
6.0ms	(.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
5.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))
4.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))))

Compiler

Compiled 1684 to 1343 computations (20.2% saved)

series330.0ms (8.9%)

Error

Counts

4 → 15

Calls

4 calls:

128.0ms	(+.f64 (.f64 2278821411449471/9007199254740992 x) (.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))))
76.0ms	(.f64 (sqrt.f64 1080863910568919/9007199254740992) (.f64 x (*.f64 x (sqrt.f64 1080863910568919/9007199254740992))))
58.0ms	(.f64 x (.f64 x (sqrt.f64 1080863910568919/9007199254740992)))
53.0ms	(*.f64 x (sqrt.f64 1080863910568919/9007199254740992))

Compiler

Compiled 572 to 513 computations (10.3% saved)

simplify83.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4940	883
1	4940	883

prune100.0ms (2.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	90	4	94

Error

Counts

94 → 4

Compiler

Compiled 1500 to 1161 computations (22.6% saved)

localize14.0ms (0.4%)

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))))
5.6b	(/.f64 (.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))

rewrite149.0ms (4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

18×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
15×	`add-sqr-sqrt_binary64_1123`
13×	`pow1_binary64_1162`
11×	`add-cube-cbrt_binary64_1136` `*-un-lft-identity_binary64_1101`
9×	`associate-l_binary64_1042`
7×	`associate-r_binary64_1041`
6×	`prod-exp_binary64_1150` `cbrt-unprod_binary64_1134`
5×	`pow-prod-down_binary64_1172`
4×	`add-log-exp_binary64_1140` `associate-*r/_binary64_1043`
3×	`times-frac_binary64_1107` `flip3--_binary64_1105` `flip--_binary64_1076` `associate-/r_binary64_1045` `-commutative_binary64_1032`
2×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `associate-/l/_binary64_1048` `associate-/r/_binary64_1047` `unswap-sqr_binary64_1069` `sub-neg_binary64_1094` `distribute-rgt-in_binary64_1051` `cancel-sign-sub-inv_binary64_1067` `distribute-lft-in_binary64_1050`
1×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l*_binary64_1046`

Counts

4 → 85

Calls

4 calls:

9.0ms	(/.f64 (.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
6.0ms	(.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)

series329.0ms (8.8%)

Error

Counts

4 → 18

Calls

4 calls:

134.0ms	(/.f64 (.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)))) (-.f64 2278821411449471/9007199254740992 (.f64 x 1080863910568919/9007199254740992)))
109.0ms	(.f64 x (-.f64 5193027025280559198049186179841/81129638414606681695789005144064 (.f64 x (*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))))
43.0ms	(.f64 x (.f64 x 1168266793170336129950248828561/81129638414606681695789005144064))
27.0ms	(*.f64 x 1168266793170336129950248828561/81129638414606681695789005144064)

Compiler

Compiled 670 to 575 computations (14.2% saved)

simplify103.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

103 → 103

Iterations

Useful iterations: 0 (79.0ms)

Iter	Nodes	Cost
0	4891	1315
1	4891	1315

prune131.0ms (3.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	103	0	103
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	103	4	107

Error

Counts

107 → 4

Compiler

Compiled 2080 to 1639 computations (21.2% saved)

regimes178.0ms (4.8%)

Accuracy

Total 0.1b remaining (97.6%)

Threshold costs 0.1b (97.6%)

Compiler

Compiled 1615 to 1383 computations (14.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	64	13
1	64	13

end0.0ms (0%)

sample1.0s (28%)

Algorithm

1×

intervals

Results

194.0ms	8000×	body	128	valid
58.0ms	2619×	body	128	invalid

Compiler

Compiled 546 to 469 computations (14.1% saved)

Details

analyze167.0ms (4.5%)

sample324.0ms (8.7%)

simplify17.0ms (0.5%)

prune2.0ms (0.1%)

localize6.0ms (0.1%)

rewrite56.0ms (1.5%)

series137.0ms (3.7%)

simplify84.0ms (2.3%)

prune53.0ms (1.4%)

localize7.0ms (0.2%)

rewrite47.0ms (1.3%)

series122.0ms (3.3%)

simplify53.0ms (1.4%)

prune39.0ms (1%)

localize9.0ms (0.2%)

rewrite136.0ms (3.7%)

series330.0ms (8.9%)

simplify83.0ms (2.2%)

prune100.0ms (2.7%)

localize14.0ms (0.4%)

rewrite149.0ms (4%)

series329.0ms (8.8%)

simplify103.0ms (2.8%)

prune131.0ms (3.5%)

regimes178.0ms (4.8%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample1.0s (28%)

Profiling