Details

analyze357.0ms (5.3%)

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)

sample26.0ms (0.4%)

Algorithm

1×

intervals

Results

15.0ms	256×	body	128	valid
1.0ms	9×	body	128	invalid
0.0ms	6×	body	128	nan

Compiler

Compiled 41 to 41 computations (0% saved)

simplify70.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	1049	21
1	1049	21

prune5.0ms (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)))))
0.2b	(/.f64 rand (sqrt.f64 (*.f64 (-.f64 a 1/3) 9)))
0.3b	(sqrt.f64 (*.f64 (-.f64 a 1/3) 9))

rewrite198.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

25×	`add-sqr-sqrt_binary64_1464`
23×	`*-un-lft-identity_binary64_1442`
17×	`add-cube-cbrt_binary64_1477`
12×	`times-frac_binary64_1448`
11×	`pow1_binary64_1503`
10×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `associate-l_binary64_1383`
8×	`associate-*l/_binary64_1385`
7×	`associate-r_binary64_1382`
6×	`flip3--_binary64_1446` `flip--_binary64_1417`
5×	`sqrt-prod_binary64_1458`
4×	`add-log-exp_binary64_1481` `sqrt-div_binary64_1459` `associate-/r*_binary64_1386` `frac-times_binary64_1452`
3×	`pow-prod-down_binary64_1513` `associate-/l*_binary64_1387` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`sqrt-pow1_binary64_1460` `associate-/r/_binary64_1388` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `associate-r/_binary64_1384` `difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394` `-commutative_binary64_1373`
1×	`pow1/2_binary64_1522` `div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `div-inv_binary64_1439` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `distribute-lft-out_binary64_1393`

Counts

4 → 99

Calls

4 calls:

15.0ms	(.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)

series316.0ms (4.7%)

Error

0.0b

Counts

4 → 24

Calls

4 calls:

144.0ms	(.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 rand (sqrt.f64 (.f64 (-.f64 a 1/3) 9)))))
105.0ms	(/.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)

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5010	2067

prune158.0ms (2.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	117	6	123
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	118	7	125

Error

Counts

125 → 7

Compiler

Compiled 2536 to 2002 computations (21.1% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
0.0b	(sqrt.f64 (+.f64 -1/3 a))
0.2b	(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
0.4b	(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))

rewrite107.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

14×	`add-sqr-sqrt_binary64_1464`
13×	`*-un-lft-identity_binary64_1442`
12×	`pow1_binary64_1503`
11×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
9×	`add-cube-cbrt_binary64_1477` `sqrt-prod_binary64_1458`
8×	`associate-r_binary64_1382`
6×	`add-log-exp_binary64_1481` `sqrt-div_binary64_1459` `associate-r/_binary64_1384` `associate-l*_binary64_1383`
4×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`*-commutative_binary64_1373` `unswap-sqr_binary64_1410` `distribute-lft-out_binary64_1393`
1×	`pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 72

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

Compiler

Compiled 1414 to 1085 computations (23.3% saved)

series256.0ms (3.8%)

Error

Counts

4 → 24

Calls

4 calls:

87.0ms	(+.f64 a (.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a)))))
79.0ms	(.f64 1/3 (.f64 rand (sqrt.f64 (+.f64 -1/3 a))))
64.0ms	(*.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
12.0ms	(sqrt.f64 (+.f64 -1/3 a))

Compiler

Compiled 804 to 687 computations (14.6% saved)

simplify62.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

96 → 96

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	5018	1143

prune95.0ms (1.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	95	1	96
Fresh	1	5	6
Picked	0	1	1
Done	0	0	0
Total	96	7	103

Error

Counts

103 → 7

Compiler

Compiled 1611 to 1240 computations (23% saved)

localize8.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

rewrite104.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

13×	`*-un-lft-identity_binary64_1442`
12×	`pow1_binary64_1503` `add-sqr-sqrt_binary64_1464`
11×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
10×	`associate-r_binary64_1382`
9×	`add-cube-cbrt_binary64_1477`
8×	`sqrt-prod_binary64_1458`
6×	`add-log-exp_binary64_1481`
4×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-l_binary64_1383` `sqrt-div_binary64_1459`
3×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`-commutative_binary64_1373` `associate-r/_binary64_1384` `distribute-lft-out_binary64_1393`
1×	`unswap-sqr_binary64_1410` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 69

Calls

4 calls:

11.0ms	(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))
4.0ms	(*.f64 1/3 rand)
3.0ms	(sqrt.f64 (+.f64 -1/3 a))
3.0ms	(+.f64 a (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))

Compiler

Compiled 1317 to 1016 computations (22.9% saved)

series212.0ms (3.1%)

Error

Counts

4 → 21

Calls

4 calls:

89.0ms	(+.f64 a (.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a))))
78.0ms	(.f64 (.f64 1/3 rand) (sqrt.f64 (+.f64 -1/3 a)))
18.0ms	(*.f64 1/3 rand)
14.0ms	(sqrt.f64 (+.f64 -1/3 a))

Compiler

Compiled 679 to 589 computations (13.3% saved)

simplify80.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4954	985
1	4954	985

prune90.0ms (1.3%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	90	7	97

Error

Counts

97 → 7

Compiler

Compiled 1487 to 1152 computations (22.5% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (+.f64 -1/3 a))
0.1b	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 9))))
0.2b	(/.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
0.2b	(/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 9))

rewrite738.0ms (10.9%)

Algorithm

1×	rewrite-expression-head

Error

Rules

330×	`times-frac_binary64_1448`
233×	`*-un-lft-identity_binary64_1442`
188×	`sqrt-prod_binary64_1458`
182×	`add-sqr-sqrt_binary64_1464`
177×	`add-cube-cbrt_binary64_1477`
30×	`associate-/l*_binary64_1387`
27×	`distribute-lft-out_binary64_1393`
18×	`sqrt-div_binary64_1459`
16×	`associate-/r/_binary64_1388`
13×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `associate-/r*_binary64_1386`
12×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
9×	`div-inv_binary64_1439`
7×	`pow1_binary64_1503`
5×	`associate-l_binary64_1383`
4×	`div-exp_binary64_1493` `add-log-exp_binary64_1481` `cbrt-undiv_binary64_1476` `frac-times_binary64_1452` `associate-r_binary64_1382`
3×	`flip3--_binary64_1446` `flip--_binary64_1417`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441` `associate-l/_binary64_1385` `associate-r/_binary64_1384`
1×	`associate-/l/_binary64_1389` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394` `*-commutative_binary64_1373` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455`

Counts

4 → 302

Calls

4 calls:

55.0ms	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 9))))
15.0ms	(/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 9))
6.0ms	(/.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
3.0ms	(sqrt.f64 (+.f64 -1/3 a))

Compiler

Compiled 8545 to 6746 computations (21.1% saved)

series358.0ms (5.3%)

Error

Counts

4 → 24

Calls

4 calls:

135.0ms	(*.f64 (-.f64 a 1/3) (+.f64 1 (/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 9))))
102.0ms	(/.f64 (/.f64 rand (sqrt.f64 (+.f64 -1/3 a))) (sqrt.f64 9))
89.0ms	(/.f64 rand (sqrt.f64 (+.f64 -1/3 a)))
15.0ms	(sqrt.f64 (+.f64 -1/3 a))

Compiler

Compiled 994 to 863 computations (13.2% saved)

simplify103.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

326 → 326

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	4986	7703
1	4986	7703

prune528.0ms (7.8%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	325	1	326
Fresh	1	3	4
Picked	0	1	1
Done	1	1	2
Total	327	6	333

Error

Counts

333 → 6

Compiler

Compiled 7673 to 5893 computations (23.2% saved)

regimes664.0ms (9.8%)

Accuracy

Total 0.1b remaining (98.7%)

Threshold costs 0.1b (98.7%)

Compiler

Compiled 6134 to 5378 computations (12.3% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	24
1	27	24

end0.0ms (0%)

sample2.1s (31.6%)

Algorithm

1×

intervals

Results

468.0ms	8000×	body	128	valid
14.0ms	256×	body	128	invalid
14.0ms	266×	body	128	nan

Compiler

Compiled 1557 to 1366 computations (12.3% saved)

Details

analyze357.0ms (5.3%)

sample26.0ms (0.4%)

simplify70.0ms (1%)

prune5.0ms (0.1%)

localize9.0ms (0.1%)

rewrite198.0ms (2.9%)

series316.0ms (4.7%)

simplify62.0ms (0.9%)

prune158.0ms (2.3%)

localize8.0ms (0.1%)

rewrite107.0ms (1.6%)

series256.0ms (3.8%)

simplify62.0ms (0.9%)

prune95.0ms (1.4%)

localize8.0ms (0.1%)

rewrite104.0ms (1.5%)

series212.0ms (3.1%)

simplify80.0ms (1.2%)

prune90.0ms (1.3%)

localize14.0ms (0.2%)

rewrite738.0ms (10.9%)

series358.0ms (5.3%)

simplify103.0ms (1.5%)

prune528.0ms (7.8%)

regimes664.0ms (9.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.1s (31.6%)

Profiling