Details

analyze251.0ms (3.3%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 32 to 22 computations (31.3% saved)

sample43.0ms (0.6%)

Algorithm

1×

intervals

Results

31.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify350.0ms (4.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (60.0ms)

Iter	Nodes	Cost
0	4974	46
1	4974	46

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 0.1b

Counts

2 → 1

Compiler

Compiled 62 to 42 computations (32.3% saved)

localize36.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (*.f64 3 a))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.1b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
0.2b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite78.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`pow1_binary64_1483` `add-exp-log_binary64_1460`
14×	`add-cbrt-cube_binary64_1458`
10×	`add-sqr-sqrt_binary64_1446` `*-un-lft-identity_binary64_1425`
8×	`add-cube-cbrt_binary64_1457`
7×	`associate-r_binary64_1367`
6×	`prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `add-log-exp_binary64_1461` `pow-prod-down_binary64_1493`
4×	`associate-*r/_binary64_1369`
3×	`pow-unpow_binary64_1499` `sub-neg_binary64_1418` `unpow-prod-down_binary64_1501`
2×	`distribute-lft-in_binary64_1376` `flip--_binary64_1400` `unswap-sqr_binary64_1393` `associate-l_binary64_1368` `distribute-rgt-in_binary64_1377` `flip3--_binary64_1429` `*-commutative_binary64_1358`
1×	`diff-log_binary64_1514` `pow-pow_binary64_1494` `flip3-+_binary64_1428` `pow-to-exp_binary64_1491` `unpow2_binary64_1487` `pow-exp_binary64_1490` `distribute-lft-out_binary64_1378` `flip-+_binary64_1399` `sqr-pow_binary64_1397`

Counts

4 → 76

Calls

4 calls:

19.0ms	(.f64 (.f64 a a) (+.f64 1 a))
18.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
12.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
11.0ms	(-.f64 1 (*.f64 3 a))

series453.0ms (5.9%)

Counts

4 → 12

Calls

4 calls:

139.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
130.0ms	(.f64 (.f64 a a) (+.f64 1 a))
100.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
83.0ms	(-.f64 1 (*.f64 3 a))

simplify136.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 0 (105.0ms)

Iter	Nodes	Cost
0	4908	1187
1	4908	1187

prune250.0ms (3.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	85	3	88
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	86	3	89

Merged error: 0b

Counts

89 → 3

Compiler

Compiled 3237 to 1765 computations (45.5% saved)

localize45.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.1b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
1.9b	(.f64 (.f64 a a) (*.f64 b b))

rewrite120.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

60×	`pow1_binary64_1483`
44×	`add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460`
33×	`pow-prod-down_binary64_1493`
27×	`prod-exp_binary64_1471` `cbrt-unprod_binary64_1455`
9×	`associate-r_binary64_1367` `add-sqr-sqrt_binary64_1446` `*-un-lft-identity_binary64_1425`
7×	`add-cube-cbrt_binary64_1457`
6×	`associate-l_binary64_1368`
4×	`pow-plus_binary64_1485` `associate-r/_binary64_1369` `add-log-exp_binary64_1461` `-commutative_binary64_1358` `pow-prod-up_binary64_1492`
3×	`unswap-sqr_binary64_1393`
2×	`distribute-lft-in_binary64_1376` `sub-neg_binary64_1418` `pow2_binary64_1503` `distribute-rgt-in_binary64_1377` `pow-sqr_binary64_1398`
1×	`flip--_binary64_1400` `flip3-+_binary64_1428` `distribute-lft-out_binary64_1378` `flip-+_binary64_1399` `flip3--_binary64_1429`

Counts

4 → 103

Calls

4 calls:

29.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))
22.0ms	(.f64 (.f64 a a) (+.f64 1 a))
20.0ms	(.f64 (.f64 a a) (*.f64 b b))
18.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

series432.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

136.0ms	(.f64 (.f64 a a) (+.f64 1 a))
105.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
96.0ms	(.f64 (.f64 a a) (*.f64 b b))
95.0ms	(.f64 2 (.f64 (.f64 a a) (.f64 b b)))

simplify124.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

115 → 115

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	4978	1337
1	4978	1337

prune381.0ms (5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	115	0	115
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	115	3	118

Merged error: 0b

Counts

118 → 3

Compiler

Compiled 4880 to 2924 computations (40.1% saved)

localize48.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.4b	(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)) (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2)))
19.1b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
19.1b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
19.1b	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

rewrite108.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

96×	`cbrt-prod_binary64_1453`
52×	`add-sqr-sqrt_binary64_1446`
31×	`unpow-prod-down_binary64_1501`
25×	`unswap-sqr_binary64_1393`
22×	`add-cube-cbrt_binary64_1457` `*-un-lft-identity_binary64_1425`
17×	`unpow2_binary64_1487` `sqr-pow_binary64_1397`
11×	`associate-l_binary64_1368` `associate-r_binary64_1367` `swap-sqr_binary64_1392` `pow1_binary64_1483`
9×	`pow1/3_binary64_1504`
6×	`add-exp-log_binary64_1460`
4×	`add-cbrt-cube_binary64_1458` `add-log-exp_binary64_1461`
2×	`pow-sqr_binary64_1398` `pow-prod-up_binary64_1492` `pow-prod-down_binary64_1493`
1×	`prod-exp_binary64_1471` `pow-plus_binary64_1485` `cbrt-unprod_binary64_1455` `pow2_binary64_1503` `*-commutative_binary64_1358`

Counts

4 → 124

Calls

4 calls:

32.0ms	(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)) (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2)))
11.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
11.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
10.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

series1.1s (14.8%)

Counts

4 → 12

Calls

4 calls:

296.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
293.0ms	(.f64 (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)) (cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (*.f64 b b)) 2)))
278.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))
262.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2))

simplify162.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	4914	3517
1	4914	3517

prune541.0ms (7.1%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	136	0	136
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	136	3	139

Merged error: 0b

Counts

139 → 3

Compiler

Compiled 8034 to 3586 computations (55.4% saved)

localize43.0ms (0.6%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 b b) (-.f64 1 (*.f64 a 3)))
0.2b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
3.0b	(exp.f64 (log.f64 (.f64 (.f64 b b) (-.f64 1 (*.f64 a 3)))))
25.7b	(log.f64 (.f64 (.f64 b b) (-.f64 1 (*.f64 a 3))))

rewrite72.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

22×	`pow1_binary64_1483`
16×	`add-exp-log_binary64_1460`
9×	`add-sqr-sqrt_binary64_1446` `add-cbrt-cube_binary64_1458` `pow-prod-down_binary64_1493`
8×	`add-cube-cbrt_binary64_1457` `*-un-lft-identity_binary64_1425`
6×	`prod-exp_binary64_1471` `associate-*r/_binary64_1369` `exp-prod_binary64_1474` `log-pow_binary64_1511`
4×	`log-div_binary64_1509` `add-log-exp_binary64_1461`
3×	`flip--_binary64_1400` `pow-unpow_binary64_1499` `cbrt-unprod_binary64_1455` `unpow-prod-down_binary64_1501` `associate-r_binary64_1367` `rem-log-exp_binary64_1463` `flip3--_binary64_1429`
2×	`sub-neg_binary64_1418` `exp-diff_binary64_1470` `log-prod_binary64_1508`
1×	`distribute-lft-in_binary64_1376` `pow-pow_binary64_1494` `unswap-sqr_binary64_1393` `associate-l_binary64_1368` `pow-to-exp_binary64_1491` `unpow2_binary64_1487` `pow-exp_binary64_1490` `distribute-rgt-in_binary64_1377` `exp-sum_binary64_1468` `rem-exp-log_binary64_1462` `sqr-pow_binary64_1397` `*-commutative_binary64_1358`

Counts

4 → 74

Calls

4 calls:

16.0ms	(exp.f64 (log.f64 (.f64 (.f64 b b) (-.f64 1 (*.f64 a 3)))))
15.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 a 3)))
14.0ms	(log.f64 (.f64 (.f64 b b) (-.f64 1 (*.f64 a 3))))
11.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series719.0ms (9.4%)

Counts

4 → 12

Calls

4 calls:

329.0ms	(exp.f64 (log.f64 (.f64 (.f64 b b) (-.f64 1 (*.f64 a 3)))))
147.0ms	(log.f64 (.f64 (.f64 b b) (-.f64 1 (*.f64 a 3))))
130.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 a 3)))
112.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

simplify128.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 0 (92.0ms)

Iter	Nodes	Cost
0	4903	1387
1	4903	1387

prune254.0ms (3.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	86	0	86
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	86	3	89

Merged error: 0b

Counts

89 → 3

Compiler

Compiled 3273 to 1837 computations (43.9% saved)

regimes99.0ms (1.3%)

Compiler: Compiled 481 to 313 computations (34.9% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	77	58
1	77	58

end0.0ms (0%)

sample1.6s (21.1%)

Algorithm

1×

intervals

Results

1.0s	8000×	body	128	valid
1.0ms	6×	body	128	invalid

Compiler

Compiled 197 to 131 computations (33.5% saved)

Details

analyze251.0ms (3.3%)

sample43.0ms (0.6%)

simplify350.0ms (4.6%)

prune7.0ms (0.1%)

localize36.0ms (0.5%)

rewrite78.0ms (1%)

series453.0ms (5.9%)

simplify136.0ms (1.8%)

prune250.0ms (3.3%)

localize45.0ms (0.6%)

rewrite120.0ms (1.6%)

series432.0ms (5.7%)

simplify124.0ms (1.6%)

prune381.0ms (5%)

localize48.0ms (0.6%)

rewrite108.0ms (1.4%)

series1.1s (14.8%)

simplify162.0ms (2.1%)

prune541.0ms (7.1%)

localize43.0ms (0.6%)

rewrite72.0ms (1%)

series719.0ms (9.4%)

simplify128.0ms (1.7%)

prune254.0ms (3.3%)

regimes99.0ms (1.3%)

bsearch0.0ms (0%)

simplify6.0ms (0.1%)

end0.0ms (0%)

sample1.6s (21.1%)

Profiling