Details

analyze1.8s (16.7%)

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)

sample159.0ms (1.4%)

Algorithm

1×

intervals

Results

35.0ms	70×	body	4096	valid
28.0ms	372×	body	128	nan
23.0ms	37×	body	8192	valid
10.0ms	134×	body	128	invalid
10.0ms	27×	body	2048	valid
7.0ms	88×	body	128	valid
6.0ms	21×	body	1024	valid
2.0ms	10×	body	512	valid
1.0ms	5×	body	1024	invalid
1.0ms	2×	body	2048	invalid
1.0ms	3×	body	256	valid
0.0ms	1×	body	4096	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify132.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5019	69

prune6.0ms (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

Error

59.8b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

14.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
28.7b	(+.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))))

rewrite124.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`add-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
117×	`cbrt-unprod_binary64_1134` `prod-exp_binary64_1150`
45×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
6×	`*-un-lft-identity_binary64_1101` `add-log-exp_binary64_1140`
4×	`add-sqr-sqrt_binary64_1123` `pow1_binary64_1162` `add-cube-cbrt_binary64_1136`
3×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `div-inv_binary64_1098` `associate-/l_binary64_1046` `times-frac_binary64_1107` `associate-/r_binary64_1045`
2×	`sqrt-div_binary64_1118` `frac-add_binary64_1109`
1×	`distribute-lft-out_binary64_1052` `sum-log_binary64_1192` `flip--_binary64_1076` `flip3--_binary64_1105` `flip3-+_binary64_1104` `+-commutative_binary64_1031` `flip-+_binary64_1075`

Counts

4 → 143

Calls

4 calls:

54.0ms	(+.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))))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series608.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

304.0ms	(+.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))))
107.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
105.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
93.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify92.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5013	4040

prune237.0ms (2.1%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	148	7	155
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	149	8	157

Error

33.5b

Counts

157 → 8

Compiler

Compiled 8929 to 1868 computations (79.1% saved)

localize6.0ms (0.1%)

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-exp-log_binary64_1139` `add-cbrt-cube_binary64_1137`
7×	`associate-l_binary64_1042`
6×	`add-sqr-sqrt_binary64_1123`
4×	`cbrt-unprod_binary64_1134` `*-un-lft-identity_binary64_1101` `prod-exp_binary64_1150` `add-cube-cbrt_binary64_1136`
3×	`pow1_binary64_1162` `times-frac_binary64_1107` `associate-r_binary64_1041`
2×	`div-exp_binary64_1152` `cbrt-undiv_binary64_1135`
1×	`-commutative_binary64_1032` `mul0-rgt_binary64_1084` `add-log-exp_binary64_1140` `div-inv_binary64_1098` `pow-prod-down_binary64_1172` `unswap-sqr_binary64_1069` `associate-l/_binary64_1044`

Counts

1 → 28

Calls

1 calls:

7.0ms

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

series2.0ms (0%)

Counts

1 → 3

Calls

1 calls:

2.0ms

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

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5033	110

prune31.0ms (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

Error

30.1b

Counts

39 → 8

Compiler

Compiled 515 to 346 computations (32.8% saved)

localize0.0ms (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

prune15.0ms (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

Error

30.1b

Counts

8 → 8

Compiler

Compiled 342 to 189 computations (44.7% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

14.3b	(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)))
14.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.0b	(/.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)))))
18.5b	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

rewrite105.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

176×	`add-exp-log_binary64_1139`
99×	`add-cbrt-cube_binary64_1137`
97×	`prod-exp_binary64_1150`
49×	`cbrt-unprod_binary64_1134`
45×	`div-exp_binary64_1152`
23×	`cbrt-undiv_binary64_1135`
16×	`add-sqr-sqrt_binary64_1123`
15×	`pow-exp_binary64_1169` `pow-to-exp_binary64_1170`
11×	`*-un-lft-identity_binary64_1101`
8×	`times-frac_binary64_1107` `associate-/r*_binary64_1045`
7×	`add-cube-cbrt_binary64_1136`
5×	`pow1_binary64_1162` `sqrt-prod_binary64_1117`
4×	`difference-of-squares_binary64_1070` `add-log-exp_binary64_1140` `associate-/r/_binary64_1047` `sqrt-div_binary64_1118`
3×	`frac-2neg_binary64_1112` `clear-num_binary64_1100` `flip--_binary64_1076` `flip3--_binary64_1105` `div-inv_binary64_1098` `associate-/l*_binary64_1046`
2×	`distribute-lft-out--_binary64_1053` `frac-sub_binary64_1110`
1×	`rem-sqrt-square_binary64_1114` `sqrt-pow1_binary64_1119` `pow1/2_binary64_1181`

Counts

4 → 136

Calls

4 calls:

39.0ms	(/.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)))))
18.0ms	(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)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
10.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

series1.5s (13.5%)

Counts

4 → 12

Calls

4 calls:

811.0ms	(/.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)))))
491.0ms	(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)))
102.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
90.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

simplify91.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5059	5235

prune271.0ms (2.4%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	146	2	148
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	148	8	156

Error

29.2b

Counts

156 → 8

Compiler

Compiled 8413 to 3005 computations (64.3% saved)

regimes421.0ms (3.8%)

Accuracy

Total 2.5b remaining (8.1%)

Threshold costs 0b (0%)

Compiler

Compiled 6796 to 4163 computations (38.7% saved)

bsearch2.0ms (0%)

Compiler: Compiled 52 to 21 computations (59.6% saved)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	115
1	54	115

end0.0ms (0%)

sample5.3s (47.7%)

Algorithm

1×

intervals

Results

1.0s	2164×	body	4096	valid
898.0ms	11761×	body	128	nan
705.0ms	1158×	body	8192	valid
475.0ms	1260×	body	2048	valid
309.0ms	3912×	body	128	invalid
181.0ms	2396×	body	128	valid
180.0ms	607×	body	1024	valid
66.0ms	295×	body	512	valid
20.0ms	49×	body	2048	invalid
18.0ms	120×	body	256	valid
18.0ms	61×	body	1024	invalid
8.0ms	38×	body	512	invalid
6.0ms	13×	body	4096	invalid
5.0ms	8×	body	8192	exit
3.0ms	24×	body	256	invalid

Compiler

Compiled 780 to 451 computations (42.2% saved)

Details

analyze1.8s (16.7%)

sample159.0ms (1.4%)

simplify132.0ms (1.2%)

prune6.0ms (0.1%)

localize20.0ms (0.2%)

rewrite124.0ms (1.1%)

series608.0ms (5.5%)

simplify92.0ms (0.8%)

prune237.0ms (2.1%)

localize6.0ms (0.1%)

rewrite9.0ms (0.1%)

series2.0ms (0%)

simplify74.0ms (0.7%)

prune31.0ms (0.3%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune15.0ms (0.1%)

localize26.0ms (0.2%)

rewrite105.0ms (1%)

series1.5s (13.5%)

simplify91.0ms (0.8%)

prune271.0ms (2.4%)

regimes421.0ms (3.8%)

bsearch2.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.3s (47.7%)

Profiling