Details

analyze1.9s (13.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.7%	0.3%	0
0%	99.7%	0.3%	1
0%	99.7%	0.3%	2
0%	99.7%	0.3%	3
0%	99.7%	0.3%	4
0%	99.7%	0.3%	5
0%	99.7%	0.3%	6
0%	99.7%	0.3%	7
0%	99.7%	0.3%	8
0%	99.7%	0.3%	9
0%	99.7%	0.3%	10
0%	99.7%	0.3%	11
0%	99.7%	0.3%	12
0%	98.1%	1.9%	13
0%	98.1%	1.9%	14

Compiler

Compiled 53 to 22 computations (58.5% saved)

sample171.0ms (1.2%)

Algorithm

1×

intervals

Results

43.0ms	77×	body	4096	valid
28.0ms	342×	body	128	nan
25.0ms	37×	body	8192	valid
16.0ms	41×	body	2048	valid
10.0ms	120×	body	128	invalid
7.0ms	23×	body	1024	valid
5.0ms	62×	body	128	valid
3.0ms	11×	body	512	valid
1.0ms	2×	body	2048	invalid
1.0ms	5×	body	256	valid
1.0ms	2×	body	1024	invalid
0.0ms	2×	body	256	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify201.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5019	69

prune9.0ms (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: 59.8b

Counts

2 → 1

Compiler

Compiled 196 to 96 computations (51% saved)

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

16.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
31.4b	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))

rewrite135.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
117×	`prod-exp_binary64_1504` `cbrt-unprod_binary64_1488`
45×	`div-exp_binary64_1506` `cbrt-undiv_binary64_1489`
6×	`add-log-exp_binary64_1494` `*-un-lft-identity_binary64_1455`
4×	`add-sqr-sqrt_binary64_1477` `pow1_binary64_1516` `add-cube-cbrt_binary64_1490`
3×	`clear-num_binary64_1454` `associate-/r_binary64_1399` `frac-2neg_binary64_1466` `associate-/l_binary64_1400` `div-inv_binary64_1452` `times-frac_binary64_1461`
2×	`sqrt-div_binary64_1472` `frac-add_binary64_1463`
1×	`distribute-lft-out_binary64_1406` `flip-+_binary64_1429` `flip--_binary64_1430` `flip3-+_binary64_1458` `sum-log_binary64_1546` `+-commutative_binary64_1385` `flip3--_binary64_1459`

Counts

4 → 143

Calls

4 calls:

59.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
15.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series1.3s (9.1%)

Counts

4 → 12

Calls

4 calls:

732.0ms	(+.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D)))) (*.f64 M M))))
192.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
188.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
182.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify98.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5057	4040

prune290.0ms (2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	150	5	155
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	150	6	156

Merged error: 29.9b

Counts

156 → 6

Compiler

Compiled 10151 to 2477 computations (75.6% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

7.9b	(.f64 (/.f64 c0 (.f64 2 w)) 0)

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_1491` `add-exp-log_binary64_1493`
7×	`associate-l_binary64_1396`
6×	`add-sqr-sqrt_binary64_1477`
4×	`prod-exp_binary64_1504` `add-cube-cbrt_binary64_1490` `cbrt-unprod_binary64_1488` `*-un-lft-identity_binary64_1455`
3×	`associate-r_binary64_1395` `pow1_binary64_1516` `times-frac_binary64_1461`
2×	`div-exp_binary64_1506` `cbrt-undiv_binary64_1489`
1×	`mul0-rgt_binary64_1438` `add-log-exp_binary64_1494` `-commutative_binary64_1386` `div-inv_binary64_1452` `associate-l/_binary64_1398` `pow-prod-down_binary64_1526` `unswap-sqr_binary64_1423`

Counts

1 → 28

Calls

1 calls:

8.0ms

(*.f64 (/.f64 c0 (*.f64 2 w)) 0)

series3.0ms (0%)

Counts

1 → 3

Calls

1 calls:

3.0ms

(*.f64 (/.f64 c0 (*.f64 2 w)) 0)

simplify59.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5153	110

prune60.0ms (0.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	31	6	37

Merged error: 26.5b

Counts

37 → 6

Compiler

Compiled 1132 to 677 computations (40.2% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify7.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune8.0ms (0.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	1	1
Total	6	6

Merged error: 26.5b

Counts

6 → 6

Compiler

Compiled 196 to 101 computations (48.5% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

12.0b	(.f64 (/.f64 c0 (.f64 2 w)) (/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M))))))
16.0b	(/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M)))))
16.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
20.6b	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

rewrite160.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

212×	`add-exp-log_binary64_1493`
135×	`add-cbrt-cube_binary64_1491`
112×	`prod-exp_binary64_1504`
64×	`cbrt-unprod_binary64_1488`
57×	`div-exp_binary64_1506`
35×	`cbrt-undiv_binary64_1489`
26×	`add-sqr-sqrt_binary64_1477`
18×	`times-frac_binary64_1461`
16×	`*-un-lft-identity_binary64_1455`
15×	`pow-to-exp_binary64_1524` `pow-exp_binary64_1523`
14×	`associate-r_binary64_1395`
10×	`add-cube-cbrt_binary64_1490`
8×	`associate-/r/_binary64_1401` `associate-/r*_binary64_1399`
7×	`associate-l_binary64_1396`
6×	`pow1_binary64_1516` `difference-of-squares_binary64_1424`
5×	`div-inv_binary64_1452`
4×	`sqrt-div_binary64_1472` `add-log-exp_binary64_1494` `flip--_binary64_1430` `frac-sub_binary64_1464` `flip3--_binary64_1459`
3×	`sqrt-prod_binary64_1471` `distribute-lft-out--_binary64_1407` `clear-num_binary64_1454` `frac-2neg_binary64_1466` `associate-/l*_binary64_1400`
2×	`unswap-sqr_binary64_1423`
1×	`associate-r/_binary64_1397` `frac-times_binary64_1465` `-commutative_binary64_1386` `associate-*l/_binary64_1398` `pow-prod-down_binary64_1526`

Counts

4 → 174

Calls

4 calls:

55.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M))))))
41.0ms	(/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M)))))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
11.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

series3.8s (27.1%)

Counts

4 → 12

Calls

4 calls:

2.0s	(.f64 (/.f64 c0 (.f64 2 w)) (/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M))))))
1.5s	(/.f64 (.f64 M M) (-.f64 (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (.f64 D D))) (sqrt.f64 (-.f64 (.f64 (/.f64 c0 (.f64 w h)) (/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (.f64 w h)))) (.f64 M M)))))
194.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
160.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

simplify93.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (18.0ms)

Iter	Nodes	Cost
0	5018	8692

prune403.0ms (2.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	187	5	192

Merged error: 26.3b

Counts

192 → 5

Compiler

Compiled 11367 to 4174 computations (63.3% saved)

regimes143.0ms (1%)

Compiler: Compiled 1587 to 978 computations (38.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	4	3
1	4	3

end0.0ms (0%)

sample5.2s (36.9%)

Algorithm

1×

intervals

Results

1.1s	2133×	body	4096	valid
934.0ms	11570×	body	128	nan
790.0ms	1191×	body	8192	valid
505.0ms	1249×	body	2048	valid
340.0ms	4046×	body	128	invalid
193.0ms	619×	body	1024	valid
191.0ms	2334×	body	128	valid
77.0ms	321×	body	512	valid
27.0ms	153×	body	256	valid
25.0ms	60×	body	2048	invalid
21.0ms	65×	body	1024	invalid
9.0ms	39×	body	512	invalid
7.0ms	14×	body	4096	invalid
6.0ms	9×	body	8192	exit
3.0ms	17×	body	256	invalid

Compiler

Compiled 228 to 132 computations (42.1% saved)

Details

analyze1.9s (13.4%)

sample171.0ms (1.2%)

simplify201.0ms (1.4%)

prune9.0ms (0.1%)

localize20.0ms (0.1%)

rewrite135.0ms (1%)

series1.3s (9.1%)

simplify98.0ms (0.7%)

prune290.0ms (2%)

localize5.0ms (0%)

rewrite10.0ms (0.1%)

series3.0ms (0%)

simplify59.0ms (0.4%)

prune60.0ms (0.4%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune8.0ms (0.1%)

localize32.0ms (0.2%)

rewrite160.0ms (1.1%)

series3.8s (27.1%)

simplify93.0ms (0.7%)

prune403.0ms (2.8%)

regimes143.0ms (1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.2s (36.9%)

Profiling