Details

analyze130.0ms (3.1%)

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%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 30 to 20 computations (33.3% saved)

sample24.0ms (0.6%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify233.0ms (5.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	5070	43

prune4.0ms (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: 0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize16.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.2b	(.f64 (.f64 b b) (+.f64 3 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite56.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`add-sqr-sqrt_binary64_1477`
18×	`associate-*r/_binary64_1397`
17×	`pow1_binary64_1516` `*-un-lft-identity_binary64_1455` `add-exp-log_binary64_1493`
16×	`add-cbrt-cube_binary64_1491`
13×	`associate-r_binary64_1395`
12×	`add-cube-cbrt_binary64_1490`
7×	`prod-exp_binary64_1504` `cbrt-unprod_binary64_1488` `pow-prod-down_binary64_1526`
6×	`distribute-rgt-in_binary64_1405` `cancel-sign-sub-inv_binary64_1421` `distribute-lft-in_binary64_1404`
5×	`associate-l_binary64_1396`
4×	`flip-+_binary64_1429` `add-log-exp_binary64_1494` `flip3-+_binary64_1458` `frac-add_binary64_1463`
3×	`*-commutative_binary64_1386` `unpow-prod-down_binary64_1534` `flip--_binary64_1430` `pow-unpow_binary64_1532` `flip3--_binary64_1459` `unswap-sqr_binary64_1423`
2×	`difference-of-squares_binary64_1424` `sub-neg_binary64_1448`
1×	`distribute-lft-out_binary64_1406` `distribute-lft-out--_binary64_1407` `unpow2_binary64_1520` `pow-pow_binary64_1527` `pow-to-exp_binary64_1524` `sqr-pow_binary64_1427` `pow-exp_binary64_1523`

Counts

4 → 100

Calls

4 calls:

15.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
14.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
6.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series233.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

69.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
66.0ms	(.f64 (.f64 a a) (-.f64 1 a))
49.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
48.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify66.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	4957	1932
1	4957	1932

prune233.0ms (5.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	109	3	112
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	110	3	113

Merged error: 0b

Counts

113 → 3

Compiler

Compiled 4902 to 2632 computations (46.3% saved)

localize22.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.2b	(.f64 a (.f64 b b))
0.2b	(.f64 (.f64 b b) (+.f64 3 a))
0.7b	(.f64 a (.f64 a (*.f64 b b)))

rewrite47.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`pow1_binary64_1516` `add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
16×	`add-sqr-sqrt_binary64_1477`
15×	`prod-exp_binary64_1504` `cbrt-unprod_binary64_1488` `pow-prod-down_binary64_1526` `*-un-lft-identity_binary64_1455`
12×	`associate-r_binary64_1395`
10×	`add-cube-cbrt_binary64_1490`
8×	`associate-l_binary64_1396`
6×	`cancel-sign-sub-inv_binary64_1421`
5×	`distribute-rgt-in_binary64_1405` `distribute-lft-in_binary64_1404`
4×	`associate-r/_binary64_1397` `add-log-exp_binary64_1494` `-commutative_binary64_1386`
3×	`unswap-sqr_binary64_1423`
2×	`difference-of-squares_binary64_1424` `sub-neg_binary64_1448`
1×	`distribute-lft-out_binary64_1406` `distribute-lft-out--_binary64_1407` `flip-+_binary64_1429` `flip--_binary64_1430` `flip3-+_binary64_1458` `flip3--_binary64_1459`

Counts

4 → 96

Calls

4 calls:

11.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
8.0ms	(.f64 a (.f64 a (*.f64 b b)))
6.0ms	(.f64 a (.f64 b b))

series197.0ms (4.7%)

Counts

4 → 12

Calls

4 calls:

65.0ms	(.f64 (.f64 a a) (-.f64 1 a))
49.0ms	(.f64 (.f64 b b) (+.f64 3 a))
43.0ms	(.f64 a (.f64 a (*.f64 b b)))
40.0ms	(.f64 a (.f64 b b))

simplify67.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5188	1113

prune203.0ms (4.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	108	3	111

Merged error: 0b

Counts

111 → 3

Compiler

Compiled 4536 to 2577 computations (43.2% saved)

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(pow.f64 (cbrt.f64 (+.f64 (.f64 a a) (.f64 b b))) 2)
0.7b	(pow.f64 (cbrt.f64 (+.f64 (.f64 a a) (.f64 b b))) 4)
11.5b	(cbrt.f64 (+.f64 (.f64 a a) (.f64 b b)))
11.5b	(cbrt.f64 (+.f64 (.f64 a a) (.f64 b b)))

rewrite30.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1477` `cbrt-prod_binary64_1486` `unpow-prod-down_binary64_1534` `add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
6×	`pow1_binary64_1516` `pow-unpow_binary64_1532` `add-exp-log_binary64_1493`
4×	`pow1/3_binary64_1537` `cbrt-div_binary64_1487` `add-log-exp_binary64_1494` `pow-pow_binary64_1527` `add-cbrt-cube_binary64_1491`
2×	`flip-+_binary64_1429` `pow-to-exp_binary64_1524` `sqr-pow_binary64_1427` `flip3-+_binary64_1458` `pow-exp_binary64_1523`
1×	`unpow2_binary64_1520`

Counts

4 → 69

Calls

4 calls:

6.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 a a) (.f64 b b))) 2)
6.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 a a) (.f64 b b))) 4)
4.0ms	(cbrt.f64 (+.f64 (.f64 a a) (.f64 b b)))
4.0ms	(cbrt.f64 (+.f64 (.f64 a a) (.f64 b b)))

series829.0ms (19.7%)

Counts

4 → 12

Calls

4 calls:

389.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 a a) (.f64 b b))) 4)
165.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 a a) (.f64 b b))) 2)
143.0ms	(cbrt.f64 (+.f64 (.f64 a a) (.f64 b b)))
131.0ms	(cbrt.f64 (+.f64 (.f64 a a) (.f64 b b)))

simplify72.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4846	1403
1	4846	1403

prune157.0ms (3.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	81	3	84

Merged error: 0b

Counts

84 → 3

Compiler

Compiled 4037 to 1821 computations (54.9% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 b b) (+.f64 3 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
3.1b	(exp.f64 (log.f64 (-.f64 (*.f64 a a) (pow.f64 a 3))))
23.0b	(log.f64 (-.f64 (*.f64 a a) (pow.f64 a 3)))

rewrite40.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`log-prod_binary64_1541`
17×	`add-sqr-sqrt_binary64_1477`
12×	`pow1_binary64_1516` `*-un-lft-identity_binary64_1455`
11×	`add-exp-log_binary64_1493`
10×	`add-cube-cbrt_binary64_1490`
9×	`add-cbrt-cube_binary64_1491` `exp-sum_binary64_1501`
8×	`difference-of-squares_binary64_1424`
5×	`unpow-prod-down_binary64_1534`
4×	`associate-r_binary64_1395` `log-div_binary64_1542` `add-log-exp_binary64_1494` `exp-prod_binary64_1507`
3×	`prod-exp_binary64_1504` `sqr-pow_binary64_1427` `cbrt-unprod_binary64_1488` `pow-unpow_binary64_1532` `pow-prod-down_binary64_1526`
2×	`associate-*r/_binary64_1397` `cube-mult_binary64_1485` `unpow3_binary64_1521` `distribute-lft-out--_binary64_1407` `exp-diff_binary64_1503` `flip--_binary64_1430` `distribute-rgt-out--_binary64_1409` `cube-prod_binary64_1483` `flip3--_binary64_1459` `log-pow_binary64_1544`
1×	`distribute-lft-out_binary64_1406` `distribute-rgt-in_binary64_1405` `flip-+_binary64_1429` `unpow2_binary64_1520` `-commutative_binary64_1386` `pow-pow_binary64_1527` `pow-to-exp_binary64_1524` `distribute-lft-in_binary64_1404` `flip3-+_binary64_1458` `rem-exp-log_binary64_1495` `pow-exp_binary64_1523` `rem-log-exp_binary64_1496` `associate-l*_binary64_1396` `unswap-sqr_binary64_1423`

Counts

4 → 85

Calls

4 calls:

9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
9.0ms	(exp.f64 (log.f64 (-.f64 (*.f64 a a) (pow.f64 a 3))))
7.0ms	(log.f64 (-.f64 (*.f64 a a) (pow.f64 a 3)))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series383.0ms (9.1%)

Counts

4 → 12

Calls

4 calls:

259.0ms	(exp.f64 (log.f64 (-.f64 (*.f64 a a) (pow.f64 a 3))))
48.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
46.0ms	(.f64 (.f64 b b) (+.f64 3 a))
30.0ms	(log.f64 (-.f64 (*.f64 a a) (pow.f64 a 3)))

simplify73.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5232	1455

prune155.0ms (3.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	97	3	100

Merged error: 0b

Counts

100 → 3

Compiler

Compiled 3459 to 1853 computations (46.4% saved)

regimes45.0ms (1.1%)

Compiler: Compiled 415 to 274 computations (34% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	55
1	55	55

end0.0ms (0%)

sample840.0ms (20%)

Algorithm

1×

intervals

Results

513.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 176 to 118 computations (33% saved)

Details

analyze130.0ms (3.1%)

sample24.0ms (0.6%)

simplify233.0ms (5.6%)

prune4.0ms (0.1%)

localize16.0ms (0.4%)

rewrite56.0ms (1.3%)

series233.0ms (5.5%)

simplify66.0ms (1.6%)

prune233.0ms (5.5%)

localize22.0ms (0.5%)

rewrite47.0ms (1.1%)

series197.0ms (4.7%)

simplify67.0ms (1.6%)

prune203.0ms (4.8%)

localize23.0ms (0.5%)

rewrite30.0ms (0.7%)

series829.0ms (19.7%)

simplify72.0ms (1.7%)

prune157.0ms (3.7%)

localize21.0ms (0.5%)

rewrite40.0ms (1%)

series383.0ms (9.1%)

simplify73.0ms (1.7%)

prune155.0ms (3.7%)

regimes45.0ms (1.1%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample840.0ms (20%)

Profiling