Details

analyze1.9s (19.4%)

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)

sample163.0ms (1.7%)

Algorithm

1×

intervals

Results

32.0ms	62×	body	4096	valid
30.0ms	394×	body	128	nan
23.0ms	34×	body	8192	valid
19.0ms	38×	body	2048	valid
9.0ms	118×	body	128	invalid
7.0ms	93×	body	128	valid
6.0ms	21×	body	1024	valid
1.0ms	5×	body	512	valid
1.0ms	2×	body	2048	invalid
0.0ms	3×	body	256	valid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify198.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5019	69

prune12.0ms (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: 59.9b

Counts

2 → 2

Compiler

Compiled 242 to 123 computations (49.2% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

18.9b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.9b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.9b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
25.1b	(+.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))))

rewrite134.0ms (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:

53.0ms	(+.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))))
17.0ms	(/.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 (11.6%)

Counts

4 → 12

Calls

4 calls:

528.0ms	(+.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))))
199.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
198.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
197.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify100.0ms (1%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5057	4040

prune316.0ms (3.3%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	151	4	155
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	151	6	157

Merged error: 32.8b

Counts

157 → 6

Compiler

Compiled 10327 to 2609 computations (74.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

7.7b	(.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)

series3.0ms (0%)

Counts

1 → 3

Calls

1 calls:

3.0ms

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

simplify62.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5153	110

prune61.0ms (0.6%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	29	8	37

Merged error: 28.2b

Counts

37 → 8

Compiler

Compiled 1147 to 762 computations (33.6% 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

prune9.0ms (0.1%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	1	1
Total	8	8

Merged error: 28.2b

Counts

8 → 8

Compiler

Compiled 201 to 131 computations (34.8% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify8.0ms (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

8 alts after pruning (5 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	2	2
Total	8	8

Merged error: 28.2b

Counts

8 → 8

Compiler

Compiled 0 to 0 computations (0% saved)

regimes221.0ms (2.3%)

Compiler: Compiled 2694 to 1766 computations (34.4% saved)

bsearch2.0ms (0%)

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

simplify4.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	51	162
1	51	162

end0.0ms (0%)

sample5.3s (55.1%)

Algorithm

1×

intervals

Results

1.0s	2100×	body	4096	valid
953.0ms	11994×	body	128	nan
748.0ms	1141×	body	8192	valid
523.0ms	1274×	body	2048	valid
324.0ms	4017×	body	128	invalid
205.0ms	648×	body	1024	valid
193.0ms	2407×	body	128	valid
65.0ms	268×	body	512	valid
25.0ms	59×	body	2048	invalid
25.0ms	162×	body	256	valid
22.0ms	71×	body	1024	invalid
10.0ms	14×	body	8192	exit
7.0ms	29×	body	512	invalid
5.0ms	10×	body	4096	invalid
3.0ms	20×	body	256	invalid

Compiler

Compiled 417 to 218 computations (47.7% saved)

Details

analyze1.9s (19.4%)

sample163.0ms (1.7%)

simplify198.0ms (2.1%)

prune12.0ms (0.1%)

localize21.0ms (0.2%)

rewrite134.0ms (1.4%)

series1.1s (11.6%)

simplify100.0ms (1%)

prune316.0ms (3.3%)

localize5.0ms (0.1%)

rewrite10.0ms (0.1%)

series3.0ms (0%)

simplify62.0ms (0.6%)

prune61.0ms (0.6%)

localize2.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune9.0ms (0.1%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify8.0ms (0.1%)

prune1.0ms (0%)

regimes221.0ms (2.3%)

bsearch2.0ms (0%)

simplify4.0ms (0%)

end0.0ms (0%)

sample5.3s (55.1%)

Profiling