Details

analyze1.9s (19.6%)

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)

sample181.0ms (1.9%)

Algorithm

1×

intervals

Results

36.0ms	400×	body	128	nan
34.0ms	66×	body	4096	valid
25.0ms	39×	body	8192	valid
17.0ms	38×	body	2048	valid
12.0ms	151×	body	128	invalid
7.0ms	20×	body	1024	valid
6.0ms	79×	body	128	valid
2.0ms	9×	body	512	valid
1.0ms	2×	body	8192	exit
1.0ms	3×	body	1024	invalid
1.0ms	5×	body	256	valid
1.0ms	2×	body	2048	invalid
0.0ms	1×	body	4096	invalid
0.0ms	1×	body	512	invalid
0.0ms	1×	body	256	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify53.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5019	69

prune10.0ms (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: 59.6b

Counts

2 → 2

Compiler

Compiled 242 to 123 computations (49.2% saved)

localize21.0ms (0.2%)

Local error

Found 4 expressions with local error:

17.0b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.0b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.0b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
29.4b	(+.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))))

rewrite143.0ms (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:

63.0ms	(+.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)))
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)))

series1.1s (11.7%)

Counts

4 → 12

Calls

4 calls:

537.0ms	(+.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))))
195.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
194.0ms	(/.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)))

simplify94.0ms (1%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5057	4040

prune385.0ms (4.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	149	6	155
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	150	7	157

Merged error: 32.9b

Counts

157 → 7

Compiler

Compiled 12792 to 3694 computations (71.1% saved)

localize7.0ms (0.1%)

Local error

Found 1 expressions with local error:

6.9b	(.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)

simplify62.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5152	110

prune63.0ms (0.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	28	3	31
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	29	9	38

Merged error: 29.3b

Counts

38 → 9

Compiler

Compiled 1367 to 778 computations (43.1% 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

9 alts after pruning (7 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	7	7
Picked	1	1
Done	1	1
Total	9	9

Merged error: 29.3b

Counts

9 → 9

Compiler

Compiled 256 to 135 computations (47.3% 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

9 alts after pruning (6 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	6	6
Picked	1	1
Done	2	2
Total	9	9

Merged error: 29.3b

Counts

9 → 9

Compiler

Compiled 0 to 0 computations (0% saved)

regimes233.0ms (2.5%)

Compiler: Compiled 3244 to 1806 computations (44.3% saved)

bsearch3.0ms (0%)

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

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	162
1	50	162

end0.0ms (0%)

sample5.2s (55%)

Algorithm

1×

intervals

Results

1.0s	2125×	body	4096	valid
925.0ms	11530×	body	128	nan
746.0ms	1152×	body	8192	valid
521.0ms	1323×	body	2048	valid
321.0ms	3912×	body	128	invalid
198.0ms	640×	body	1024	valid
187.0ms	2288×	body	128	valid
74.0ms	317×	body	512	valid
27.0ms	155×	body	256	valid
22.0ms	57×	body	2048	invalid
15.0ms	44×	body	1024	invalid
10.0ms	21×	body	4096	invalid
7.0ms	32×	body	512	invalid
4.0ms	6×	body	8192	exit
2.0ms	9×	body	256	invalid

Compiler

Compiled 472 to 222 computations (53% saved)

Details

analyze1.9s (19.6%)

sample181.0ms (1.9%)

simplify53.0ms (0.6%)

prune10.0ms (0.1%)

localize21.0ms (0.2%)

rewrite143.0ms (1.5%)

series1.1s (11.7%)

simplify94.0ms (1%)

prune385.0ms (4.1%)

localize7.0ms (0.1%)

rewrite10.0ms (0.1%)

series3.0ms (0%)

simplify62.0ms (0.7%)

prune63.0ms (0.7%)

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%)

simplify6.0ms (0.1%)

prune1.0ms (0%)

regimes233.0ms (2.5%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.2s (55%)

Profiling