Details

analyze1.9s (15.6%)

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)

sample161.0ms (1.3%)

Algorithm

1×

intervals

Results

31.0ms	62×	body	4096	valid
26.0ms	333×	body	128	nan
24.0ms	40×	body	8192	valid
23.0ms	51×	body	2048	valid
9.0ms	118×	body	128	invalid
6.0ms	71×	body	128	valid
5.0ms	17×	body	1024	valid
3.0ms	14×	body	512	valid
1.0ms	2×	body	2048	invalid
0.0ms	1×	body	4096	invalid
0.0ms	1×	body	1024	invalid
0.0ms	2×	body	256	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify129.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

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

Error

61.2b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

19.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
19.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
19.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
28.5b	(+.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))))

rewrite121.0ms (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:

47.0ms	(+.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))))
19.0ms	(/.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)))

series618.0ms (5.1%)

Counts

4 → 12

Calls

4 calls:

319.0ms	(+.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))))
101.0ms	(/.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)))
99.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify101.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5013	4040

prune246.0ms (2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	151	4	155
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	152	5	157

Error

33.8b

Counts

157 → 5

Compiler

Compiled 8746 to 1783 computations (79.6% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

10.6b

(*.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)

simplify73.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	5033	110

prune30.0ms (0.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	31	5	36

Error

29.3b

Counts

36 → 5

Compiler

Compiled 332 to 261 computations (21.4% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify6.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune7.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	0	0
Total	5	5

Error

29.3b

Counts

5 → 5

Compiler

Compiled 159 to 104 computations (34.6% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

14.1b	(.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))))))
15.7b	(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)))
19.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
19.7b	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

rewrite126.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

207×	`add-exp-log_binary64_1139`
130×	`add-cbrt-cube_binary64_1137`
111×	`prod-exp_binary64_1150`
63×	`cbrt-unprod_binary64_1134`
55×	`div-exp_binary64_1152`
33×	`cbrt-undiv_binary64_1135`
18×	`add-sqr-sqrt_binary64_1123`
15×	`pow-exp_binary64_1169` `pow-to-exp_binary64_1170`
14×	`associate-r_binary64_1041`
12×	`times-frac_binary64_1107`
11×	`*-un-lft-identity_binary64_1101`
9×	`add-cube-cbrt_binary64_1136`
7×	`pow1_binary64_1162` `associate-l_binary64_1042`
4×	`add-log-exp_binary64_1140` `sqrt-prod_binary64_1117` `div-inv_binary64_1098` `associate-/r/_binary64_1047` `sqrt-div_binary64_1118`
3×	`flip--_binary64_1076` `flip3--_binary64_1105`
2×	`difference-of-squares_binary64_1070` `frac-2neg_binary64_1112` `clear-num_binary64_1100` `associate-/l_binary64_1046` `frac-sub_binary64_1110` `unswap-sqr_binary64_1069` `associate-/r_binary64_1045`
1×	`-commutative_binary64_1032` `rem-sqrt-square_binary64_1114` `frac-times_binary64_1111` `sqrt-pow1_binary64_1119` `distribute-lft-out--_binary64_1053` `associate-r/_binary64_1043` `pow-prod-down_binary64_1172` `associate-*l/_binary64_1044` `pow1/2_binary64_1181`

Counts

4 → 158

Calls

4 calls:

45.0ms	(.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))))))
20.0ms	(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)))
13.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

series1.8s (14.8%)

Counts

4 → 12

Calls

4 calls:

1.1s	(.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))))))
521.0ms	(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)))
112.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
94.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

simplify99.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5076	6911

prune342.0ms (2.8%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	165	5	170
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	166	9	175

Error

28.7b

Counts

175 → 9

Compiler

Compiled 9658 to 3537 computations (63.4% saved)

regimes538.0ms (4.4%)

Accuracy

Total 2.5b remaining (7.9%)

Threshold costs 0b (0%)

Compiler

Compiled 9874 to 5836 computations (40.9% 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%)

sample5.8s (47.7%)

Algorithm

1×

intervals

Results

1.1s	2102×	body	4096	valid
950.0ms	11905×	body	128	nan
727.0ms	1159×	body	8192	valid
528.0ms	1321×	body	2048	valid
334.0ms	3972×	body	128	invalid
197.0ms	2421×	body	128	valid
181.0ms	567×	body	1024	valid
74.0ms	312×	body	512	valid
24.0ms	54×	body	2048	invalid
18.0ms	56×	body	1024	invalid
18.0ms	118×	body	256	valid
7.0ms	14×	body	4096	invalid
6.0ms	26×	body	512	invalid
5.0ms	7×	body	8192	exit
1.0ms	9×	body	256	invalid

Compiler

Compiled 1029 to 604 computations (41.3% saved)

Details

analyze1.9s (15.6%)

sample161.0ms (1.3%)

simplify129.0ms (1.1%)

prune7.0ms (0.1%)

localize24.0ms (0.2%)

rewrite121.0ms (1%)

series618.0ms (5.1%)

simplify101.0ms (0.8%)

prune246.0ms (2%)

localize5.0ms (0%)

rewrite9.0ms (0.1%)

series2.0ms (0%)

simplify73.0ms (0.6%)

prune30.0ms (0.2%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune7.0ms (0.1%)

localize28.0ms (0.2%)

rewrite126.0ms (1%)

series1.8s (14.8%)

simplify99.0ms (0.8%)

prune342.0ms (2.8%)

regimes538.0ms (4.4%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.8s (47.7%)

Profiling