Details

analyze1.9s (19.1%)

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)

sample177.0ms (1.8%)

Algorithm

1×

intervals

Results

38.0ms	55×	body	8192	valid
30.0ms	372×	body	128	nan
28.0ms	56×	body	4096	valid
22.0ms	45×	body	2048	valid
10.0ms	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)

simplify200.0ms (2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5019	69

prune9.0ms (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: 61.1b

Counts

2 → 2

Compiler

Compiled 242 to 123 computations (49.2% saved)

localize20.0ms (0.2%)

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))))

rewrite135.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`add-cbrt-cube_binary64_1147` `add-exp-log_binary64_1149`
117×	`prod-exp_binary64_1160` `cbrt-unprod_binary64_1144`
45×	`div-exp_binary64_1162` `cbrt-undiv_binary64_1145`
6×	`*-un-lft-identity_binary64_1111` `add-log-exp_binary64_1150`
4×	`add-sqr-sqrt_binary64_1133` `add-cube-cbrt_binary64_1146` `pow1_binary64_1172`
3×	`times-frac_binary64_1117` `div-inv_binary64_1108` `associate-/r_binary64_1055` `frac-2neg_binary64_1122` `associate-/l_binary64_1056` `clear-num_binary64_1110`
2×	`sqrt-div_binary64_1128` `frac-add_binary64_1119`
1×	`flip-+_binary64_1085` `flip3--_binary64_1115` `flip3-+_binary64_1114` `+-commutative_binary64_1041` `distribute-lft-out_binary64_1062` `sum-log_binary64_1202` `flip--_binary64_1086`

Counts

4 → 143

Calls

4 calls:

58.0ms	(+.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)))
15.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series1.1s (11.2%)

Counts

4 → 12

Calls

4 calls:

533.0ms	(+.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))))
194.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
185.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
183.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify95.0ms (1%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5057	4040

prune406.0ms (4.1%)

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

Merged error: 32.4b

Counts

157 → 8

Compiler

Compiled 13736 to 4213 computations (69.3% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_1147` `add-exp-log_binary64_1149`
7×	`associate-l_binary64_1052`
6×	`add-sqr-sqrt_binary64_1133`
4×	`prod-exp_binary64_1160` `cbrt-unprod_binary64_1144` `*-un-lft-identity_binary64_1111` `add-cube-cbrt_binary64_1146`
3×	`times-frac_binary64_1117` `associate-r_binary64_1051` `pow1_binary64_1172`
2×	`div-exp_binary64_1162` `cbrt-undiv_binary64_1145`
1×	`-commutative_binary64_1042` `associate-l/_binary64_1054` `div-inv_binary64_1108` `mul0-rgt_binary64_1094` `pow-prod-down_binary64_1182` `unswap-sqr_binary64_1079` `add-log-exp_binary64_1150`

Counts

1 → 28

Calls

1 calls:

8.0ms

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

series5.0ms (0.1%)

Counts

1 → 3

Calls

1 calls:

5.0ms

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

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5153	110

prune76.0ms (0.8%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	29	10	39

Merged error: 29.0b

Counts

39 → 10

Compiler

Compiled 1787 to 1059 computations (40.7% saved)

localize2.0ms (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

prune17.0ms (0.2%)

Pruning

10 alts after pruning (9 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	9	9
Picked	1	1
Done	0	0
Total	10	10

Merged error: 29.0b

Counts

10 → 10

Compiler

Compiled 400 to 221 computations (44.8% 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

prune1.0ms (0%)

Pruning

10 alts after pruning (8 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	8	8
Picked	1	1
Done	1	1
Total	10	10

Merged error: 29.0b

Counts

10 → 10

Compiler

Compiled 0 to 0 computations (0% saved)

regimes250.0ms (2.6%)

Compiler: Compiled 3657 to 2184 computations (40.3% 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 (54.6%)

Algorithm

1×

intervals

Results

1.0s	2029×	body	4096	valid
961.0ms	11861×	body	128	nan
806.0ms	1221×	body	8192	valid
514.0ms	1287×	body	2048	valid
331.0ms	3992×	body	128	invalid
198.0ms	2373×	body	128	valid
197.0ms	631×	body	1024	valid
73.0ms	316×	body	512	valid
22.0ms	143×	body	256	valid
21.0ms	54×	body	2048	invalid
19.0ms	62×	body	1024	invalid
8.0ms	37×	body	512	invalid
7.0ms	10×	body	8192	exit
5.0ms	11×	body	4096	invalid
4.0ms	28×	body	256	invalid

Compiler

Compiled 457 to 265 computations (42% saved)

Details

analyze1.9s (19.1%)

sample177.0ms (1.8%)

simplify200.0ms (2%)

prune9.0ms (0.1%)

localize20.0ms (0.2%)

rewrite135.0ms (1.4%)

series1.1s (11.2%)

simplify95.0ms (1%)

prune406.0ms (4.1%)

localize5.0ms (0%)

rewrite10.0ms (0.1%)

series5.0ms (0.1%)

simplify59.0ms (0.6%)

prune76.0ms (0.8%)

localize2.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune17.0ms (0.2%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.1%)

prune1.0ms (0%)

regimes250.0ms (2.6%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.4s (54.6%)

Profiling