Details

analyze1.9s (14%)

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)

sample170.0ms (1.2%)

Algorithm

1×

intervals

Results

44.0ms	77×	body	4096	valid
27.0ms	342×	body	128	nan
24.0ms	37×	body	8192	valid
17.0ms	41×	body	2048	valid
10.0ms	120×	body	128	invalid
7.0ms	23×	body	1024	valid
5.0ms	62×	body	128	valid
3.0ms	11×	body	512	valid
1.0ms	2×	body	2048	invalid
1.0ms	5×	body	256	valid
1.0ms	2×	body	1024	invalid
0.0ms	2×	body	256	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify197.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5019	69

prune5.0ms (0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 59.8b

Counts

2 → 1

Compiler

Compiled 98 to 48 computations (51% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

16.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
31.4b	(+.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))))

rewrite142.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`add-cbrt-cube_binary64_1483` `add-exp-log_binary64_1485`
117×	`prod-exp_binary64_1496` `cbrt-unprod_binary64_1480`
45×	`cbrt-undiv_binary64_1481` `div-exp_binary64_1498`
6×	`add-log-exp_binary64_1486` `*-un-lft-identity_binary64_1447`
4×	`pow1_binary64_1508` `add-cube-cbrt_binary64_1482` `add-sqr-sqrt_binary64_1469`
3×	`frac-2neg_binary64_1458` `times-frac_binary64_1453` `clear-num_binary64_1446` `associate-/r_binary64_1391` `associate-/l_binary64_1392` `div-inv_binary64_1444`
2×	`frac-add_binary64_1455` `sqrt-div_binary64_1464`
1×	`flip--_binary64_1422` `distribute-lft-out_binary64_1398` `flip3-+_binary64_1450` `flip3--_binary64_1451` `sum-log_binary64_1538` `flip-+_binary64_1421` `+-commutative_binary64_1377`

Counts

4 → 143

Calls

4 calls:

57.0ms	(+.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 (8.2%)

Counts

4 → 12

Calls

4 calls:

550.0ms	(+.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))))
202.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
199.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
179.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify92.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5057	4040

prune250.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	150	5	155
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	150	6	156

Merged error: 29.9b

Counts

156 → 6

Compiler

Compiled 8783 to 1780 computations (79.7% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

7.9b	(.f64 (/.f64 c0 (.f64 2 w)) 0)

rewrite10.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_1483` `add-exp-log_binary64_1485`
7×	`associate-l_binary64_1388`
6×	`add-sqr-sqrt_binary64_1469`
4×	`prod-exp_binary64_1496` `cbrt-unprod_binary64_1480` `add-cube-cbrt_binary64_1482` `*-un-lft-identity_binary64_1447`
3×	`associate-r_binary64_1387` `times-frac_binary64_1453` `pow1_binary64_1508`
2×	`cbrt-undiv_binary64_1481` `div-exp_binary64_1498`
1×	`pow-prod-down_binary64_1518` `-commutative_binary64_1378` `unswap-sqr_binary64_1415` `div-inv_binary64_1444` `mul0-rgt_binary64_1430` `add-log-exp_binary64_1486` `associate-l/_binary64_1390`

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)

simplify60.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5153	110

prune30.0ms (0.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	4	4
Picked	1	0	1
Done	0	1	1
Total	31	6	37

Merged error: 26.5b

Counts

37 → 6

Compiler

Compiled 369 to 258 computations (30.1% 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%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune7.0ms (0.1%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	1	1
Total	6	6

Merged error: 26.5b

Counts

6 → 6

Compiler

Compiled 196 to 101 computations (48.5% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

12.0b	(.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))))))
16.0b	(/.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)))))
16.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
20.6b	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

rewrite165.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

212×	`add-exp-log_binary64_1485`
135×	`add-cbrt-cube_binary64_1483`
112×	`prod-exp_binary64_1496`
64×	`cbrt-unprod_binary64_1480`
57×	`div-exp_binary64_1498`
35×	`cbrt-undiv_binary64_1481`
26×	`add-sqr-sqrt_binary64_1469`
18×	`times-frac_binary64_1453`
16×	`*-un-lft-identity_binary64_1447`
15×	`pow-exp_binary64_1515` `pow-to-exp_binary64_1516`
14×	`associate-r_binary64_1387`
10×	`add-cube-cbrt_binary64_1482`
8×	`associate-/r*_binary64_1391` `associate-/r/_binary64_1393`
7×	`associate-l_binary64_1388`
6×	`pow1_binary64_1508` `difference-of-squares_binary64_1416`
5×	`div-inv_binary64_1444`
4×	`flip--_binary64_1422` `flip3--_binary64_1451` `frac-sub_binary64_1456` `sqrt-div_binary64_1464` `add-log-exp_binary64_1486`
3×	`frac-2neg_binary64_1458` `clear-num_binary64_1446` `associate-/l*_binary64_1392` `sqrt-prod_binary64_1463` `distribute-lft-out--_binary64_1399`
2×	`unswap-sqr_binary64_1415`
1×	`pow-prod-down_binary64_1518` `-commutative_binary64_1378` `frac-times_binary64_1457` `associate-r/_binary64_1389` `associate-*l/_binary64_1390`

Counts

4 → 174

Calls

4 calls:

57.0ms	(.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))))))
41.0ms	(/.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)))))
15.0ms	(/.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)))

series3.8s (27.2%)

Counts

4 → 12

Calls

4 calls:

1.9s	(.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))))))
1.5s	(/.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)))))
194.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
162.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

simplify88.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

186 → 186

Iterations

Useful iterations: 0 (19.0ms)

Iter	Nodes	Cost
0	5018	8692

prune363.0ms (2.6%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	185	1	186
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	187	5	192

Merged error: 26.3b

Counts

192 → 5

Compiler

Compiled 11096 to 4026 computations (63.7% saved)

regimes140.0ms (1%)

Compiler: Compiled 1578 to 969 computations (38.6% 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%)

sample5.2s (37.8%)

Algorithm

1×

intervals

Results

1.1s	2133×	body	4096	valid
942.0ms	11570×	body	128	nan
783.0ms	1191×	body	8192	valid
509.0ms	1249×	body	2048	valid
335.0ms	4046×	body	128	invalid
193.0ms	619×	body	1024	valid
192.0ms	2334×	body	128	valid
78.0ms	321×	body	512	valid
26.0ms	153×	body	256	valid
24.0ms	60×	body	2048	invalid
20.0ms	65×	body	1024	invalid
11.0ms	39×	body	512	invalid
7.0ms	14×	body	4096	invalid
7.0ms	9×	body	8192	exit
3.0ms	17×	body	256	invalid

Compiler

Compiled 226 to 130 computations (42.5% saved)

Details

analyze1.9s (14%)

sample170.0ms (1.2%)

simplify197.0ms (1.4%)

prune5.0ms (0%)

localize21.0ms (0.2%)

rewrite142.0ms (1%)

series1.1s (8.2%)

simplify92.0ms (0.7%)

prune250.0ms (1.8%)

localize5.0ms (0%)

rewrite10.0ms (0.1%)

series3.0ms (0%)

simplify60.0ms (0.4%)

prune30.0ms (0.2%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0%)

prune7.0ms (0.1%)

localize30.0ms (0.2%)

rewrite165.0ms (1.2%)

series3.8s (27.2%)

simplify88.0ms (0.6%)

prune363.0ms (2.6%)

regimes140.0ms (1%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample5.2s (37.8%)

Profiling