Details

analyze1.9s (13.6%)

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)

sample179.0ms (1.3%)

Algorithm

1×

intervals

Results

37.0ms	55×	body	8192	valid
34.0ms	56×	body	4096	valid
29.0ms	372×	body	128	nan
19.0ms	45×	body	2048	valid
11.0ms	130×	body	128	invalid
6.0ms	73×	body	128	valid
5.0ms	15×	body	1024	valid
2.0ms	8×	body	512	valid
1.0ms	3×	body	1024	invalid
1.0ms	2×	body	2048	invalid
1.0ms	4×	body	256	valid
0.0ms	1×	body	512	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify214.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	5500	63

prune7.0ms (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: 61.1b

Counts

2 → 2

Compiler

Compiled 136 to 73 computations (46.3% saved)

localize21.0ms (0.1%)

Local error

Found 4 expressions with local error:

17.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
31.9b	(+.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))))

rewrite136.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460`
117×	`prod-exp_binary64_1471` `cbrt-unprod_binary64_1455`
45×	`div-exp_binary64_1473` `cbrt-undiv_binary64_1456`
6×	`add-log-exp_binary64_1461` `*-un-lft-identity_binary64_1425`
4×	`add-cube-cbrt_binary64_1457` `add-sqr-sqrt_binary64_1446` `pow1_binary64_1483`
3×	`times-frac_binary64_1431` `frac-2neg_binary64_1436` `associate-/r_binary64_1371` `clear-num_binary64_1424` `div-inv_binary64_1422` `associate-/l_binary64_1372`
2×	`sqrt-div_binary64_1441` `frac-add_binary64_1433`
1×	`flip--_binary64_1400` `flip3-+_binary64_1428` `distribute-lft-out_binary64_1378` `sum-log_binary64_1513` `flip-+_binary64_1399` `+-commutative_binary64_1357` `flip3--_binary64_1429`

Counts

4 → 143

Calls

4 calls:

57.0ms	(+.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)))

series1.1s (8%)

Counts

4 → 12

Calls

4 calls:

538.0ms	(+.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))))
195.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
191.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
190.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify86.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5615	4082

prune244.0ms (1.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	147	8	155
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	149	8	157

Merged error: 32.4b

Counts

157 → 8

Compiler

Compiled 9029 to 1556 computations (82.8% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

6.7b	(.f64 (/.f64 c0 (.f64 2 w)) 0)

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460`
7×	`associate-l_binary64_1368`
6×	`add-sqr-sqrt_binary64_1446`
4×	`add-cube-cbrt_binary64_1457` `prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `*-un-lft-identity_binary64_1425`
3×	`times-frac_binary64_1431` `associate-r_binary64_1367` `pow1_binary64_1483`
2×	`div-exp_binary64_1473` `cbrt-undiv_binary64_1456`
1×	`unswap-sqr_binary64_1393` `div-inv_binary64_1422` `mul0-rgt_binary64_1408` `associate-l/_binary64_1370` `add-log-exp_binary64_1461` `-commutative_binary64_1358` `pow-prod-down_binary64_1493`

Counts

1 → 28

Calls

1 calls:

7.0ms

(*.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)

simplify49.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5104	110

prune38.0ms (0.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	31	8	39

Merged error: 29.0b

Counts

39 → 8

Compiler

Compiled 571 to 361 computations (36.8% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune14.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	7	7
Picked	1	1
Done	0	0
Total	8	8

Merged error: 29.0b

Counts

8 → 8

Compiler

Compiled 398 to 204 computations (48.7% saved)

localize32.0ms (0.2%)

Local error

Found 4 expressions with local error:

10.2b	(.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))))))
15.9b	(/.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)))))
17.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
21.4b	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

rewrite159.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

212×	`add-exp-log_binary64_1460`
135×	`add-cbrt-cube_binary64_1458`
112×	`prod-exp_binary64_1471`
64×	`cbrt-unprod_binary64_1455`
57×	`div-exp_binary64_1473`
35×	`cbrt-undiv_binary64_1456`
26×	`add-sqr-sqrt_binary64_1446`
18×	`times-frac_binary64_1431`
16×	`*-un-lft-identity_binary64_1425`
15×	`pow-to-exp_binary64_1491` `pow-exp_binary64_1490`
14×	`associate-r_binary64_1367`
10×	`add-cube-cbrt_binary64_1457`
8×	`associate-/r*_binary64_1371` `associate-/r/_binary64_1373`
7×	`associate-l_binary64_1368`
6×	`difference-of-squares_binary64_1394` `pow1_binary64_1483`
5×	`div-inv_binary64_1422`
4×	`flip--_binary64_1400` `sqrt-div_binary64_1441` `frac-sub_binary64_1434` `flip3--_binary64_1429` `add-log-exp_binary64_1461`
3×	`frac-2neg_binary64_1436` `distribute-lft-out--_binary64_1379` `clear-num_binary64_1424` `sqrt-prod_binary64_1440` `associate-/l*_binary64_1372`
2×	`unswap-sqr_binary64_1393`
1×	`associate-r/_binary64_1369` `associate-l/_binary64_1370` `*-commutative_binary64_1358` `frac-times_binary64_1435` `pow-prod-down_binary64_1493`

Counts

4 → 174

Calls

4 calls:

52.0ms	(.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))))))
40.0ms	(/.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)))
12.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

series3.7s (26.3%)

Counts

4 → 12

Calls

4 calls:

1.9s	(.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)))))
198.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
146.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

simplify96.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (20.0ms)

Iter	Nodes	Cost
0	5007	8692

prune399.0ms (2.9%)

Pruning

9 alts after pruning (7 fresh and 2 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	185	9	194

Merged error: 28.8b

Counts

194 → 9

Compiler

Compiled 11096 to 4026 computations (63.7% saved)

regimes245.0ms (1.7%)

Compiler: Compiled 3810 to 2175 computations (42.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms (0%)

sample5.4s (38.3%)

Algorithm

1×

intervals

Results

1.0s	2029×	body	4096	valid
964.0ms	11861×	body	128	nan
813.0ms	1221×	body	8192	valid
529.0ms	1287×	body	2048	valid
329.0ms	3992×	body	128	invalid
199.0ms	631×	body	1024	valid
197.0ms	2373×	body	128	valid
73.0ms	316×	body	512	valid
23.0ms	143×	body	256	valid
22.0ms	54×	body	2048	invalid
21.0ms	62×	body	1024	invalid
9.0ms	37×	body	512	invalid
7.0ms	10×	body	8192	exit
5.0ms	11×	body	4096	invalid
4.0ms	28×	body	256	invalid

Compiler

Compiled 474 to 264 computations (44.3% saved)

Details

analyze1.9s (13.6%)

sample179.0ms (1.3%)

simplify214.0ms (1.5%)

prune7.0ms (0%)

localize21.0ms (0.1%)

rewrite136.0ms (1%)

series1.1s (8%)

simplify86.0ms (0.6%)

prune244.0ms (1.7%)

localize5.0ms (0%)

rewrite9.0ms (0.1%)

series3.0ms (0%)

simplify49.0ms (0.4%)

prune38.0ms (0.3%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0%)

prune14.0ms (0.1%)

localize32.0ms (0.2%)

rewrite159.0ms (1.1%)

series3.7s (26.3%)

simplify96.0ms (0.7%)

prune399.0ms (2.9%)

regimes245.0ms (1.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.4s (38.3%)

Profiling