Details

analyze1.9s (16.4%)

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)

sample164.0ms (1.4%)

Algorithm

1×

intervals

Results

32.0ms	70×	body	4096	valid
29.0ms	41×	body	8192	valid
28.0ms	369×	body	128	nan
14.0ms	38×	body	2048	valid
11.0ms	144×	body	128	invalid
6.0ms	84×	body	128	valid
4.0ms	13×	body	1024	valid
2.0ms	4×	body	4096	invalid
1.0ms	8×	body	256	valid
1.0ms	3×	body	2048	invalid
0.0ms	2×	body	512	valid
0.0ms	1×	body	1024	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify137.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5019	69

prune7.0ms (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: 60.1b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

18.6b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.6b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.6b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
29.5b	(+.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))))

rewrite117.0ms (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:

45.0ms	(+.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)))

series609.0ms (5.4%)

Counts

4 → 12

Calls

4 calls:

301.0ms	(+.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))))
106.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
102.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
99.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify101.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	5013	4040

prune234.0ms (2.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	149	6	155
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	151	6	157

Merged error: 32.6b

Counts

157 → 6

Compiler

Compiled 8842 to 1802 computations (79.6% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

6.9b	(.f64 (/.f64 c0 (.f64 2 w)) 0)

rewrite8.0ms (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)

simplify75.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5033	110

prune31.0ms (0.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	31	6	37

Merged error: 28.0b

Counts

37 → 6

Compiler

Compiled 428 to 280 computations (34.6% 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

prune8.0ms (0.1%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	0	0
Total	6	6

Merged error: 28.0b

Counts

6 → 6

Compiler

Compiled 255 to 123 computations (51.8% saved)

localize26.0ms (0.2%)

Local error

Found 4 expressions with local error:

13.3b	(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)))
15.0b	(/.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)))))
18.6b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
20.9b	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

rewrite106.0ms (0.9%)

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:

36.0ms	(/.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)))))
17.0ms	(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)))
12.0ms	(/.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 (13.1%)

Counts

4 → 12

Calls

4 calls:

809.0ms	(/.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)))))
494.0ms	(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)))
97.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
82.0ms	(/.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 (44.0ms)

Iter	Nodes	Cost
0	5059	5235

prune270.0ms (2.4%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	145	3	148
Fresh	1	3	4
Picked	1	0	1
Done	0	1	1
Total	147	7	154

Merged error: 27.1b

Counts

154 → 7

Compiler

Compiled 8413 to 3005 computations (64.3% saved)

regimes552.0ms (4.9%)

Compiler: Compiled 10096 to 5783 computations (42.7% saved)

bsearch3.0ms (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%)

sample5.4s (47.7%)

Algorithm

1×

intervals

Results

1.0s	2158×	body	4096	valid
907.0ms	11988×	body	128	nan
709.0ms	1168×	body	8192	valid
478.0ms	1261×	body	2048	valid
319.0ms	4116×	body	128	invalid
188.0ms	628×	body	1024	valid
188.0ms	2363×	body	128	valid
58.0ms	273×	body	512	valid
22.0ms	149×	body	256	valid
19.0ms	53×	body	2048	invalid
17.0ms	59×	body	1024	invalid
9.0ms	19×	body	4096	invalid
7.0ms	34×	body	512	invalid
6.0ms	7×	body	8192	exit
3.0ms	19×	body	256	invalid

Compiler

Compiled 1110 to 613 computations (44.8% saved)

Details

analyze1.9s (16.4%)

sample164.0ms (1.4%)

simplify137.0ms (1.2%)

prune7.0ms (0.1%)

localize23.0ms (0.2%)

rewrite117.0ms (1%)

series609.0ms (5.4%)

simplify101.0ms (0.9%)

prune234.0ms (2.1%)

localize5.0ms (0%)

rewrite8.0ms (0.1%)

series2.0ms (0%)

simplify75.0ms (0.7%)

prune31.0ms (0.3%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune8.0ms (0.1%)

localize26.0ms (0.2%)

rewrite106.0ms (0.9%)

series1.5s (13.1%)

simplify91.0ms (0.8%)

prune270.0ms (2.4%)

regimes552.0ms (4.9%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.4s (47.7%)

Profiling