Details

analyze42.0ms (0.7%)

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
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	21.9%	9.5%	7
68.7%	17.2%	14.1%	8
71.8%	11.7%	16.5%	9
71.8%	9%	19.2%	10
73.4%	6%	20.6%	11
73.4%	4.6%	22%	12
74.1%	3.1%	22.8%	13
74.1%	2.3%	23.5%	14

Compiler

Compiled 7 to 7 computations (0% saved)

sample39.0ms (0.7%)

Algorithm

1×

intervals

Results

14.0ms	42×	body	2048	valid
11.0ms	71×	body	1024	valid
3.0ms	33×	body	512	valid
2.0ms	89×	body	128	valid
1.0ms	21×	body	256	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify228.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4815	9
1	4815	9

prune2.0ms (0%)

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: 32.2b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

3.3b	(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite6.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

5×	`add-sqr-sqrt_binary64_1446`
4×	`*-un-lft-identity_binary64_1425`
3×	`add-log-exp_binary64_1461`
2×	`difference-of-squares_binary64_1394`
1×	`flip--_binary64_1400` `diff-log_binary64_1514` `add-cube-cbrt_binary64_1457` `distribute-lft-out--_binary64_1379` `sub-neg_binary64_1418` `difference-of-sqr-1_binary64_1395` `add-cbrt-cube_binary64_1458` `pow1_binary64_1483` `flip3--_binary64_1429` `add-exp-log_binary64_1460`

Counts

1 → 15

Calls

1 calls:

5.0ms

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

series46.0ms (0.8%)

Counts

1 → 3

Calls

1 calls:

45.0ms

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

simplify81.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

18 → 18

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	4921	274
1	4921	274

prune26.0ms (0.4%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	13	5	18
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	14	5	19

Merged error: 2.4b

Counts

19 → 5

Compiler

Compiled 269 to 146 computations (45.7% saved)

localize10.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (.f64 a x))))
0.3b	(.f64 1/6 (.f64 a x))
0.7b	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (.f64 a x)))))))
8.6b	(.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))

rewrite38.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

25×	`add-cbrt-cube_binary64_1458` `pow1_binary64_1483` `add-exp-log_binary64_1460`
13×	`prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `pow-prod-down_binary64_1493`
12×	`add-sqr-sqrt_binary64_1446`
10×	`associate-l_binary64_1368`
9×	`add-cube-cbrt_binary64_1457` `*-un-lft-identity_binary64_1425`
8×	`associate-r/_binary64_1369` `associate-r*_binary64_1367`
6×	`distribute-lft-in_binary64_1376` `distribute-rgt-in_binary64_1377`
4×	`add-log-exp_binary64_1461` `*-commutative_binary64_1358`
3×	`flip3-+_binary64_1428` `flip-+_binary64_1399`
2×	`unswap-sqr_binary64_1393`

Counts

4 → 90

Calls

4 calls:

11.0ms	(.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))
8.0ms	(.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (.f64 a x))))
6.0ms	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (.f64 a x)))))))
5.0ms	(.f64 1/6 (.f64 a x))

series408.0ms (6.8%)

Counts

4 → 12

Calls

4 calls:

163.0ms	(.f64 a (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (.f64 a x)))))))
147.0ms	(.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))
71.0ms	(.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (.f64 a x))))
27.0ms	(.f64 1/6 (.f64 a x))

simplify44.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (23.0ms)

Iter	Nodes	Cost
0	5712	1980

prune105.0ms (1.7%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	101	1	102
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	101	6	107

Merged error: 2.4b

Counts

107 → 6

Compiler

Compiled 2423 to 1285 computations (47% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

8.6b	(.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))
9.1b	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
9.1b	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
9.1b	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))

rewrite31.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_1458` `pow1_binary64_1483` `add-exp-log_binary64_1460`
9×	`cbrt-prod_binary64_1453`
8×	`add-cube-cbrt_binary64_1457` `add-sqr-sqrt_binary64_1446` `*-un-lft-identity_binary64_1425`
6×	`prod-exp_binary64_1471` `cbrt-div_binary64_1454` `cbrt-unprod_binary64_1455` `pow-prod-down_binary64_1493`
4×	`distribute-lft-in_binary64_1376` `flip3-+_binary64_1428` `associate-*r/_binary64_1369` `distribute-rgt-in_binary64_1377` `flip-+_binary64_1399` `add-log-exp_binary64_1461`
3×	`associate-l_binary64_1368` `pow1/3_binary64_1504`
1×	`associate-r_binary64_1367` `*-commutative_binary64_1358`

Counts

4 → 66

Calls

4 calls:

10.0ms	(.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))

series1.4s (23.2%)

Counts

4 → 12

Calls

4 calls:

418.0ms	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
417.0ms	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
414.0ms	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
147.0ms	(.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))

simplify94.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4960	2685
1	4960	2685

prune192.0ms (3.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	78	6	84

Merged error: 2.4b

Counts

84 → 6

Compiler

Compiled 5071 to 2784 computations (45.1% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

8.6b	(.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))
9.1b	(cbrt.f64 (+.f64 x (.f64 (.f64 x (.f64 x a)) (+.f64 1/2 (.f64 1/6 (*.f64 a x))))))
9.1b	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
9.1b	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))

rewrite32.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-cbrt-cube_binary64_1458` `pow1_binary64_1483` `add-exp-log_binary64_1460`
9×	`cbrt-prod_binary64_1453`
8×	`add-cube-cbrt_binary64_1457` `add-sqr-sqrt_binary64_1446` `*-un-lft-identity_binary64_1425`
6×	`prod-exp_binary64_1471` `cbrt-div_binary64_1454` `cbrt-unprod_binary64_1455` `pow-prod-down_binary64_1493`
4×	`distribute-lft-in_binary64_1376` `flip3-+_binary64_1428` `associate-*r/_binary64_1369` `distribute-rgt-in_binary64_1377` `flip-+_binary64_1399` `add-log-exp_binary64_1461`
3×	`associate-l_binary64_1368` `pow1/3_binary64_1504`
1×	`associate-r_binary64_1367` `*-commutative_binary64_1358`

Counts

4 → 66

Calls

4 calls:

11.0ms	(.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))
4.0ms	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
3.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 x (.f64 x a)) (+.f64 1/2 (.f64 1/6 (*.f64 a x))))))

series1.4s (23.6%)

Counts

4 → 12

Calls

4 calls:

441.0ms	(cbrt.f64 (+.f64 x (.f64 (.f64 x (.f64 x a)) (+.f64 1/2 (.f64 1/6 (*.f64 a x))))))
423.0ms	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
419.0ms	(cbrt.f64 (+.f64 x (.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))))
143.0ms	(.f64 a (.f64 (.f64 x x) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))

simplify52.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (25.0ms)

Iter	Nodes	Cost
0	5848	2796

prune199.0ms (3.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	77	1	78
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	78	6	84

Merged error: 2.4b

Counts

84 → 6

Compiler

Compiled 5033 to 2698 computations (46.4% saved)

regimes149.0ms (2.5%)

Compiler: Compiled 706 to 545 computations (22.8% saved)

bsearch1.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	39	47
1	39	47

end0.0ms (0%)

sample1.3s (22.1%)

Algorithm

1×

intervals

Results

475.0ms	1389×	body	2048	valid
288.0ms	1807×	body	1024	valid
106.0ms	1135×	body	512	valid
90.0ms	3058×	body	128	valid
36.0ms	611×	body	256	valid
4.0ms	152×	body	128	invalid

Compiler

Compiled 179 to 127 computations (29.1% saved)

Details

analyze42.0ms (0.7%)

sample39.0ms (0.7%)

simplify228.0ms (3.8%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite6.0ms (0.1%)

series46.0ms (0.8%)

simplify81.0ms (1.3%)

prune26.0ms (0.4%)

localize10.0ms (0.2%)

rewrite38.0ms (0.6%)

series408.0ms (6.8%)

simplify44.0ms (0.7%)

prune105.0ms (1.7%)

localize17.0ms (0.3%)

rewrite31.0ms (0.5%)

series1.4s (23.2%)

simplify94.0ms (1.6%)

prune192.0ms (3.2%)

localize24.0ms (0.4%)

rewrite32.0ms (0.5%)

series1.4s (23.6%)

simplify52.0ms (0.9%)

prune199.0ms (3.3%)

regimes149.0ms (2.5%)

bsearch1.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample1.3s (22.1%)

Profiling