Details

analyze3.0ms (0.1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	74.6%	25.4%	0
0%	74.6%	25.4%	1
37.3%	37.3%	25.4%	2
37.3%	18.7%	44%	3
46.7%	9.3%	44%	4
46.7%	4.7%	48.7%	5
49%	2.3%	48.7%	6
49%	1.2%	49.8%	7
49.6%	0.6%	49.8%	8
49.9%	0.3%	49.8%	9
49.9%	0.1%	50%	10
49.9%	0.1%	50.1%	11
49.9%	0%	50.1%	12
49.9%	0%	50.1%	13
49.9%	0%	50.1%	14

Compiler

Compiled 7 to 6 computations (14.3% saved)

sample36.0ms (1.1%)

Algorithm

1×

intervals

Results

17.0ms	128×	body	1024	valid
5.0ms	62×	body	512	valid
3.0ms	256×	pre	128	true
3.0ms	14×	body	2048	valid
2.0ms	33×	body	256	valid
0.0ms	19×	body	128	valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify174.0ms (5.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	9	6
1	9	6

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

Merged error: 58.9b

Counts

2 → 1

Compiler

Compiled 8 to 8 computations (0% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

5.0b	(-.f64 (exp.f64 x) 1)

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_1477`
5×	`*-un-lft-identity_binary64_1455`
3×	`add-log-exp_binary64_1494` `cancel-sign-sub-inv_binary64_1421`
2×	`difference-of-squares_binary64_1424` `add-cube-cbrt_binary64_1490`
1×	`distribute-lft-out--_binary64_1407` `pow1_binary64_1516` `add-cbrt-cube_binary64_1491` `flip--_binary64_1430` `diff-log_binary64_1547` `sub-neg_binary64_1448` `flip3--_binary64_1459` `difference-of-sqr-1_binary64_1425` `add-exp-log_binary64_1493`

Counts

1 → 18

Calls

1 calls:

5.0ms

(-.f64 (exp.f64 x) 1)

series17.0ms (0.5%)

Counts

1 → 3

Calls

1 calls:

17.0ms

(-.f64 (exp.f64 x) 1)

simplify102.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

21 → 21

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4841	199
1	4841	199

prune63.0ms (1.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	17	4	21
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	18	4	22

Merged error: 0.0b

Counts

22 → 4

Compiler

Compiled 589 to 462 computations (21.6% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
0.0b	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
0.3b	(*.f64 x 1/6)

rewrite23.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-sqr-sqrt_binary64_1477` `pow1_binary64_1516` `add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
9×	`associate-l_binary64_1396`
8×	`add-cube-cbrt_binary64_1490` `*-un-lft-identity_binary64_1455`
7×	`associate-r_binary64_1395`
6×	`associate-*r/_binary64_1397`
5×	`prod-exp_binary64_1504` `distribute-rgt-in_binary64_1405` `distribute-lft-in_binary64_1404` `cbrt-unprod_binary64_1488` `pow-prod-down_binary64_1526`
3×	`add-log-exp_binary64_1494` `*-commutative_binary64_1386`
2×	`flip-+_binary64_1429` `flip3-+_binary64_1458` `unswap-sqr_binary64_1423`

Counts

3 → 64

Calls

3 calls:

8.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
6.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
4.0ms	(*.f64 x 1/6)

series205.0ms (6.2%)

Counts

3 → 9

Calls

3 calls:

97.0ms	(.f64 x (.f64 x (+.f64 1/2 (*.f64 x 1/6))))
82.0ms	(.f64 x (+.f64 1/2 (.f64 x 1/6)))
25.0ms	(*.f64 x 1/6)

simplify72.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

73 → 73

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4998	823
1	4998	823

prune62.0ms (1.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	73	0	73
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	73	4	77

Merged error: 0.0b

Counts

77 → 4

Compiler

Compiled 1144 to 783 computations (31.6% saved)

localize9.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
0.0b	(+.f64 (exp.f64 x) 1)
0.0b	(pow.f64 (exp.f64 x) 3)
5.0b	(-.f64 (pow.f64 (exp.f64 x) 3) 1)

rewrite50.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

95×	`add-sqr-sqrt_binary64_1477`
62×	`*-un-lft-identity_binary64_1455`
48×	`times-frac_binary64_1461`
40×	`difference-of-squares_binary64_1424`
30×	`add-cube-cbrt_binary64_1490`
20×	`difference-of-sqr-1_binary64_1425`
18×	`unpow-prod-down_binary64_1534` `cube-prod_binary64_1483`
16×	`sqr-pow_binary64_1427` `associate-/l*_binary64_1400`
8×	`add-log-exp_binary64_1494`
7×	`add-cbrt-cube_binary64_1491`
6×	`add-exp-log_binary64_1493`
5×	`distribute-lft-out--_binary64_1407` `pow1_binary64_1516`
4×	`pow-pow_binary64_1527`
3×	`associate-/r*_binary64_1399` `cancel-sign-sub-inv_binary64_1421` `exp-prod_binary64_1507` `pow-unpow_binary64_1532`
2×	`associate-/r/_binary64_1401` `flip-+_binary64_1429` `associate-/l/_binary64_1402` `flip--_binary64_1430` `flip3-+_binary64_1458` `flip3--_binary64_1459`
1×	`distribute-lft-out_binary64_1406` `cube-mult_binary64_1485` `unpow3_binary64_1521` `div-exp_binary64_1506` `clear-num_binary64_1454` `pow-to-exp_binary64_1524` `cbrt-undiv_binary64_1489` `rem-cube-cbrt_binary64_1478` `frac-2neg_binary64_1466` `diff-log_binary64_1547` `sub-neg_binary64_1448` `div-inv_binary64_1452` `pow-exp_binary64_1523` `sum-log_binary64_1546` `+-commutative_binary64_1385` `div-sub_binary64_1460`

Counts

4 → 149

Calls

4 calls:

15.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
9.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) 1)
4.0ms	(+.f64 (exp.f64 x) 1)
4.0ms	(pow.f64 (exp.f64 x) 3)

series313.0ms (9.5%)

Counts

4 → 12

Calls

4 calls:

209.0ms	(/.f64 (-.f64 (pow.f64 (exp.f64 x) 3) 1) (+.f64 1 (*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
53.0ms	(-.f64 (pow.f64 (exp.f64 x) 3) 1)
41.0ms	(pow.f64 (exp.f64 x) 3)
10.0ms	(+.f64 (exp.f64 x) 1)

simplify65.0ms (2%)

Algorithm

1×	egg-herbie

Counts

161 → 161

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	4946	4441
1	4946	4441

prune260.0ms (7.9%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	160	1	161
Fresh	2	0	2
Picked	1	0	1
Done	0	1	1
Total	163	2	165

Merged error: 0.0b

Counts

165 → 2

Compiler

Compiled 4597 to 3076 computations (33.1% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))
0.0b	(/.f64 (-.f64 (exp.f64 (.f64 x 3)) 1) (+.f64 1 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
0.0b	(+.f64 (exp.f64 x) 1)
5.0b	(-.f64 (exp.f64 (*.f64 x 3)) 1)

rewrite39.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

41×	`add-sqr-sqrt_binary64_1477`
38×	`*-un-lft-identity_binary64_1455`
21×	`times-frac_binary64_1461`
19×	`add-cube-cbrt_binary64_1490`
10×	`difference-of-squares_binary64_1424`
8×	`add-log-exp_binary64_1494` `add-cbrt-cube_binary64_1491`
7×	`associate-/l*_binary64_1400` `add-exp-log_binary64_1493`
6×	`pow1_binary64_1516`
5×	`distribute-lft-out--_binary64_1407` `difference-of-sqr-1_binary64_1425`
4×	`associate-r_binary64_1395`
3×	`flip-+_binary64_1429` `associate-/r_binary64_1399` `cancel-sign-sub-inv_binary64_1421` `flip3-+_binary64_1458` `associate-l*_binary64_1396`
2×	`distribute-lft-out_binary64_1406` `associate-*r/_binary64_1397` `associate-/r/_binary64_1401` `associate-/l/_binary64_1402` `flip--_binary64_1430` `flip3--_binary64_1459`
1×	`prod-exp_binary64_1504` `distribute-rgt-in_binary64_1405` `div-exp_binary64_1506` `clear-num_binary64_1454` `*-commutative_binary64_1386` `cbrt-undiv_binary64_1489` `frac-2neg_binary64_1466` `diff-log_binary64_1547` `distribute-lft-in_binary64_1404` `cbrt-unprod_binary64_1488` `sub-neg_binary64_1448` `div-inv_binary64_1452` `sum-log_binary64_1546` `+-commutative_binary64_1385` `div-sub_binary64_1460` `pow-prod-down_binary64_1526` `unswap-sqr_binary64_1423`

Counts

4 → 101

Calls

4 calls:

10.0ms	(/.f64 (-.f64 (exp.f64 (.f64 x 3)) 1) (+.f64 1 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
9.0ms	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))
5.0ms	(-.f64 (exp.f64 (*.f64 x 3)) 1)
4.0ms	(+.f64 (exp.f64 x) 1)

series233.0ms (7.1%)

Counts

4 → 12

Calls

4 calls:

165.0ms	(/.f64 (-.f64 (exp.f64 (.f64 x 3)) 1) (+.f64 1 (.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))))
37.0ms	(*.f64 (exp.f64 x) (+.f64 (exp.f64 x) 1))
20.0ms	(-.f64 (exp.f64 (*.f64 x 3)) 1)
10.0ms	(+.f64 (exp.f64 x) 1)

simplify68.0ms (2%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5218	2731

prune143.0ms (4.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	0	0	0
Picked	1	0	1
Done	0	1	1
Total	113	2	115

Merged error: 0.0b

Counts

115 → 2

Compiler

Compiled 2795 to 1998 computations (28.5% saved)

regimes8.0ms (0.3%)

Compiler: Compiled 38 to 31 computations (18.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	16
1	14	16

end0.0ms (0%)

sample1.3s (40.2%)

Algorithm

1×

intervals

Results

564.0ms	3906×	body	1024	valid
235.0ms	8002×	pre	128	true
154.0ms	2025×	body	512	valid
65.0ms	428×	body	2048	valid
54.0ms	1057×	body	256	valid
15.0ms	584×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 67 to 54 computations (19.4% saved)

Details

analyze3.0ms (0.1%)

sample36.0ms (1.1%)

simplify174.0ms (5.3%)

prune2.0ms (0.1%)

localize3.0ms (0.1%)

rewrite6.0ms (0.2%)

series17.0ms (0.5%)

simplify102.0ms (3.1%)

prune63.0ms (1.9%)

localize7.0ms (0.2%)

rewrite23.0ms (0.7%)

series205.0ms (6.2%)

simplify72.0ms (2.2%)

prune62.0ms (1.9%)

localize9.0ms (0.3%)

rewrite50.0ms (1.5%)

series313.0ms (9.5%)

simplify65.0ms (2%)

prune260.0ms (7.9%)

localize10.0ms (0.3%)

rewrite39.0ms (1.2%)

series233.0ms (7.1%)

simplify68.0ms (2%)

prune143.0ms (4.3%)

regimes8.0ms (0.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (40.2%)

Profiling