Details

analyze1.9s (19.8%)

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

37.0ms	71×	body	4096	valid
31.0ms	47×	body	8192	valid
29.0ms	378×	body	128	nan
18.0ms	34×	body	2048	valid
10.0ms	121×	body	128	invalid
6.0ms	19×	body	1024	valid
6.0ms	75×	body	128	valid
2.0ms	5×	body	2048	invalid
2.0ms	8×	body	512	valid
1.0ms	1×	body	8192	exit
1.0ms	2×	body	1024	invalid
0.0ms	2×	body	512	invalid
0.0ms	2×	body	256	valid
0.0ms	1×	body	256	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify47.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5019	69

prune9.0ms (0.1%)

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: 60.2b

Counts

2 → 1

Compiler

Compiled 196 to 96 computations (51% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

15.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
31.3b	(+.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))))

rewrite141.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
117×	`cbrt-unprod_binary64` `prod-exp_binary64`
45×	`cbrt-undiv_binary64` `div-exp_binary64`
6×	`*-un-lft-identity_binary64` `add-log-exp_binary64`
4×	`pow1_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
3×	`associate-/r_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l_binary64` `times-frac_binary64` `div-inv_binary64`
2×	`frac-add_binary64` `sqrt-div_binary64`
1×	`flip3-+_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

4 → 143

Calls

4 calls:

61.0ms	(+.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))))
16.0ms	(/.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)))

series1.2s (12%)

Counts

4 → 12

Calls

4 calls:

551.0ms	(+.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))))
233.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
187.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
187.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify99.0ms (1%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	5057	4040

prune372.0ms (3.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	148	7	155
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	149	7	156

Merged error: 32.4b

Counts

156 → 7

Compiler

Compiled 12386 to 3604 computations (70.9% 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-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-l_binary64`
6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `cbrt-unprod_binary64` `add-cube-cbrt_binary64` `prod-exp_binary64`
3×	`pow1_binary64` `associate-r_binary64` `times-frac_binary64`
2×	`cbrt-undiv_binary64` `div-exp_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `mul0-rgt_binary64` `unswap-sqr_binary64` `div-inv_binary64` `associate-l/_binary64` `-commutative_binary64`

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)

simplify61.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5152	110

prune65.0ms (0.7%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	29	2	31
Fresh	0	6	6
Picked	1	0	1
Done	0	0	0
Total	30	8	38

Merged error: 27.3b

Counts

38 → 8

Compiler

Compiled 1413 to 809 computations (42.7% saved)

localize1.0ms (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

prune10.0ms (0.1%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	7	7
Picked	1	1
Done	0	0
Total	8	8

Merged error: 27.3b

Counts

8 → 8

Compiler

Compiled 306 to 155 computations (49.3% 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

prune1.0ms (0%)

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: 27.3b

Counts

8 → 8

Compiler

Compiled 0 to 0 computations (0% saved)

regimes208.0ms (2.2%)

Compiler: Compiled 2802 to 1581 computations (43.6% saved)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms (0%)

sample5.3s (55.2%)

Algorithm

1×

intervals

Results

1.1s	2161×	body	4096	valid
926.0ms	11756×	body	128	nan
784.0ms	1179×	body	8192	valid
493.0ms	1195×	body	2048	valid
348.0ms	4224×	body	128	invalid
199.0ms	2426×	body	128	valid
195.0ms	596×	body	1024	valid
72.0ms	305×	body	512	valid
30.0ms	68×	body	2048	invalid
21.0ms	138×	body	256	valid
18.0ms	58×	body	1024	invalid
10.0ms	44×	body	512	invalid
6.0ms	13×	body	4096	invalid
4.0ms	6×	body	8192	exit
4.0ms	26×	body	256	invalid

Compiler

Compiled 362 to 198 computations (45.3% saved)

Details

analyze1.9s (19.8%)

sample177.0ms (1.8%)

simplify47.0ms (0.5%)

prune9.0ms (0.1%)

localize20.0ms (0.2%)

rewrite141.0ms (1.5%)

series1.2s (12%)

simplify99.0ms (1%)

prune372.0ms (3.9%)

localize5.0ms (0%)

rewrite10.0ms (0.1%)

series3.0ms (0%)

simplify61.0ms (0.6%)

prune65.0ms (0.7%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune10.0ms (0.1%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune1.0ms (0%)

regimes208.0ms (2.2%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample5.3s (55.2%)

Profiling