Details

analyze347.0ms (5.6%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	2024	42
1	2024	42
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	50%	50%	2
0%	50%	50%	3
0%	50%	50%	4
6.2%	43.7%	50%	5
9.4%	28.1%	62.5%	6
12.5%	25%	62.5%	7
15.6%	15.6%	68.8%	8
16.8%	14.4%	68.8%	9
18.5%	8.8%	72.7%	10
19.2%	7.7%	73.1%	11
20.1%	4.6%	75.2%	12
20.5%	4%	75.5%	13
21%	2.4%	76.6%	14

Compiler

Compiled 21 to 20 computations (4.8% saved)

sample24.0ms (0.4%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
0.0ms	7×	body	128	invalid
0.0ms	6×	body	128	nan

Compiler

Compiled 41 to 41 computations (0% saved)

simplify67.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	1049	21
1	1049	21

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

Error

0.1b

Counts

2 → 2

Compiler

Compiled 48 to 45 computations (6.3% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (-.f64 a 1/3) 9)
0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a 1/3) 9)))))
0.3b	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
0.7b	(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

rewrite195.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`add-sqr-sqrt_binary64_1123`
23×	`*-un-lft-identity_binary64_1101`
17×	`add-cube-cbrt_binary64_1136`
12×	`times-frac_binary64_1107`
11×	`pow1_binary64_1162`
10×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137` `associate-l_binary64_1042`
8×	`associate-*l/_binary64_1044`
7×	`associate-r_binary64_1041`
6×	`flip3--_binary64_1105` `flip--_binary64_1076`
5×	`sqrt-prod_binary64_1117`
4×	`add-log-exp_binary64_1140` `sqrt-div_binary64_1118` `associate-/r*_binary64_1045` `frac-times_binary64_1111`
3×	`pow-prod-down_binary64_1172` `associate-/l*_binary64_1046` `flip3-+_binary64_1104` `flip-+_binary64_1075`
2×	`sqrt-pow1_binary64_1119` `associate-/r/_binary64_1047` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `unswap-sqr_binary64_1069` `associate-r/_binary64_1043` `difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053` `-commutative_binary64_1032`
1×	`pow1/2_binary64_1181` `div-exp_binary64_1152` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `distribute-lft-out_binary64_1052`

Counts

4 → 99

Calls

4 calls:

17.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a 1/3) 9)))))
8.0ms	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
7.0ms	(*.f64 (-.f64 a 1/3) 9)
5.0ms	(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

Compiler

Compiled 2373 to 1883 computations (20.6% saved)

series323.0ms (5.2%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

150.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a 1/3) 9)))))
107.0ms	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
31.0ms	(*.f64 (-.f64 a 1/3) 9)
16.0ms	(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

Compiler

Compiled 850 to 737 computations (13.3% saved)

simplify65.0ms (1%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5010	2067

prune154.0ms (2.5%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	118	5	123
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	119	6	125

Error

Counts

125 → 6

Compiler

Compiled 2499 to 1973 computations (21% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 -3 (.f64 a 9))) rand))))
0.3b	(/.f64 (sqrt.f64 (+.f64 -3 (*.f64 a 9))) rand)
0.6b	(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -3 (*.f64 a 9))) rand))
0.7b	(sqrt.f64 (+.f64 -3 (*.f64 a 9)))

rewrite450.0ms (7.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

156×	`times-frac_binary64_1107`
102×	`add-sqr-sqrt_binary64_1123` `*-un-lft-identity_binary64_1101`
97×	`add-cube-cbrt_binary64_1136`
51×	`sqrt-prod_binary64_1117`
25×	`associate-/r*_binary64_1045`
19×	`add-exp-log_binary64_1139`
13×	`add-cbrt-cube_binary64_1137`
9×	`associate-/l*_binary64_1046`
8×	`pow1_binary64_1162` `div-exp_binary64_1152`
7×	`div-inv_binary64_1098`
5×	`flip3-+_binary64_1104` `flip-+_binary64_1075` `associate-l_binary64_1042` `associate-r_binary64_1041`
4×	`add-log-exp_binary64_1140` `sqrt-div_binary64_1118` `cbrt-undiv_binary64_1135` `frac-times_binary64_1111`
3×	`flip3--_binary64_1105` `flip--_binary64_1076`
2×	`1-exp_binary64_1145` `rec-exp_binary64_1151` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l/_binary64_1048` `associate-l/_binary64_1044` `associate-r/_binary64_1043` `distribute-lft-out_binary64_1052`
1×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114` `inv-pow_binary64_1186` `pow-flip_binary64_1175` `associate-/r/_binary64_1047` `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` `difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053` `*-commutative_binary64_1032`

Counts

4 → 200

Calls

4 calls:

28.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 -3 (.f64 a 9))) rand))))
9.0ms	(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -3 (*.f64 a 9))) rand))
6.0ms	(/.f64 (sqrt.f64 (+.f64 -3 (*.f64 a 9))) rand)
3.0ms	(sqrt.f64 (+.f64 -3 (*.f64 a 9)))

Compiler

Compiled 5846 to 4710 computations (19.4% saved)

series390.0ms (6.3%)

Error

Counts

4 → 24

Calls

4 calls:

158.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 1 (/.f64 (sqrt.f64 (+.f64 -3 (.f64 a 9))) rand))))
113.0ms	(/.f64 1 (/.f64 (sqrt.f64 (+.f64 -3 (*.f64 a 9))) rand))
85.0ms	(/.f64 (sqrt.f64 (+.f64 -3 (*.f64 a 9))) rand)
15.0ms	(sqrt.f64 (+.f64 -3 (*.f64 a 9)))

Compiler

Compiled 1122 to 960 computations (14.4% saved)

simplify99.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

224 → 224

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5001	5057

prune352.0ms (5.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	223	1	224
Fresh	2	3	5
Picked	0	1	1
Done	0	0	0
Total	225	5	230

Error

Counts

230 → 5

Compiler

Compiled 5355 to 4207 computations (21.4% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -3 (*.f64 a 9)))))))
0.1b	(sqrt.f64 (/.f64 1 (+.f64 -3 (*.f64 a 9))))
0.2b	(.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -3 (.f64 a 9)))))
0.6b	(/.f64 1 (+.f64 -3 (*.f64 a 9)))

rewrite257.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

47×	`add-sqr-sqrt_binary64_1123`
34×	`*-un-lft-identity_binary64_1101`
33×	`sqrt-prod_binary64_1117`
31×	`times-frac_binary64_1107`
30×	`add-cube-cbrt_binary64_1136`
21×	`associate-r_binary64_1041`
12×	`add-exp-log_binary64_1139`
11×	`pow1_binary64_1162`
10×	`add-cbrt-cube_binary64_1137`
8×	`associate-l_binary64_1042`
6×	`flip3-+_binary64_1104` `associate-/r/_binary64_1047` `flip-+_binary64_1075`
5×	`unswap-sqr_binary64_1069`
4×	`add-log-exp_binary64_1140` `frac-times_binary64_1111`
3×	`div-inv_binary64_1098` `associate-/l_binary64_1046` `associate-/r_binary64_1045` `associate-*r/_binary64_1043` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114` `flip3--_binary64_1105` `flip--_binary64_1076`
2×	`inv-pow_binary64_1186` `pow-flip_binary64_1175` `div-exp_binary64_1152` `pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `sqrt-div_binary64_1118` `-commutative_binary64_1032` `associate-l/_binary64_1044`
1×	`1-exp_binary64_1145` `rec-exp_binary64_1151` `cbrt-undiv_binary64_1135` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `pow1/2_binary64_1181` `distribute-rgt-in_binary64_1051` `distribute-lft-in_binary64_1050` `difference-of-squares_binary64_1070` `distribute-lft-out--_binary64_1053`

Counts

4 → 130

Calls

4 calls:

11.0ms	(.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -3 (.f64 a 9)))))
9.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -3 (*.f64 a 9)))))))
5.0ms	(/.f64 1 (+.f64 -3 (*.f64 a 9)))
5.0ms	(sqrt.f64 (/.f64 1 (+.f64 -3 (*.f64 a 9))))

Compiler

Compiled 3542 to 2965 computations (16.3% saved)

series336.0ms (5.4%)

Error

Counts

4 → 27

Calls

4 calls:

155.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -3 (*.f64 a 9)))))))
111.0ms	(.f64 rand (sqrt.f64 (/.f64 1 (+.f64 -3 (.f64 a 9)))))
27.0ms	(/.f64 1 (+.f64 -3 (*.f64 a 9)))
17.0ms	(sqrt.f64 (/.f64 1 (+.f64 -3 (*.f64 a 9))))

Compiler

Compiled 1256 to 1073 computations (14.6% saved)

simplify74.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

157 → 157

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5018	2966

prune209.0ms (3.4%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	157	0	157
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	157	5	162

Error

Counts

162 → 5

Compiler

Compiled 3573 to 2931 computations (18% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 -1/3 a)
0.0b	(sqrt.f64 (+.f64 -1/3 a))
0.2b	(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
0.3b	(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))

rewrite104.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`*-un-lft-identity_binary64_1101`
14×	`add-sqr-sqrt_binary64_1123`
12×	`pow1_binary64_1162`
11×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
9×	`add-cube-cbrt_binary64_1136` `sqrt-prod_binary64_1117`
8×	`associate-r_binary64_1041`
6×	`add-log-exp_binary64_1140` `sqrt-div_binary64_1118` `associate-r/_binary64_1043` `associate-l*_binary64_1042`
4×	`pow-prod-down_binary64_1172` `prod-exp_binary64_1150` `cbrt-unprod_binary64_1134` `flip3-+_binary64_1104` `flip-+_binary64_1075`
3×	`distribute-lft-out_binary64_1052`
2×	`*-commutative_binary64_1032` `unswap-sqr_binary64_1069`
1×	`pow1/2_binary64_1181` `sqrt-pow1_binary64_1119` `rem-sqrt-square_binary64_1114` `sum-log_binary64_1192` `+-commutative_binary64_1031`

Counts

4 → 73

Calls

4 calls:

8.0ms	(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
8.0ms	(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
3.0ms	(sqrt.f64 (+.f64 -1/3 a))
3.0ms	(+.f64 -1/3 a)

Compiler

Compiled 1358 to 1046 computations (23% saved)

series188.0ms (3%)

Error

Counts

4 → 21

Calls

4 calls:

78.0ms	(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
64.0ms	(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
20.0ms	(+.f64 -1/3 a)
14.0ms	(sqrt.f64 (+.f64 -1/3 a))

Compiler

Compiled 753 to 630 computations (16.3% saved)

simplify79.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

94 → 94

Iterations

Useful iterations: 0 (62.0ms)

Iter	Nodes	Cost
0	4904	922
1	4904	922

prune86.0ms (1.4%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	93	1	94
Fresh	1	1	2
Picked	0	1	1
Done	0	2	2
Total	94	5	99

Error

Counts

99 → 5

Compiler

Compiled 1442 to 1098 computations (23.9% saved)

regimes428.0ms (6.9%)

Accuracy

Total 0.1b remaining (98.8%)

Threshold costs 0.1b (98.8%)

Compiler

Compiled 4778 to 4274 computations (10.5% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	24
1	29	24

end0.0ms (0%)

sample1.9s (30.8%)

Algorithm

1×

intervals

Results

466.0ms	8000×	body	128	valid
15.0ms	279×	body	128	invalid
15.0ms	292×	body	128	nan

Compiler

Compiled 1218 to 1091 computations (10.4% saved)

Details

analyze347.0ms (5.6%)

sample24.0ms (0.4%)

simplify67.0ms (1.1%)

prune4.0ms (0.1%)

localize9.0ms (0.1%)

rewrite195.0ms (3.2%)

series323.0ms (5.2%)

simplify65.0ms (1%)

prune154.0ms (2.5%)

localize11.0ms (0.2%)

rewrite450.0ms (7.3%)

series390.0ms (6.3%)

simplify99.0ms (1.6%)

prune352.0ms (5.7%)

localize11.0ms (0.2%)

rewrite257.0ms (4.2%)

series336.0ms (5.4%)

simplify74.0ms (1.2%)

prune209.0ms (3.4%)

localize8.0ms (0.1%)

rewrite104.0ms (1.7%)

series188.0ms (3%)

simplify79.0ms (1.3%)

prune86.0ms (1.4%)

regimes428.0ms (6.9%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.9s (30.8%)

Profiling