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)

sample181.0ms (1.8%)

Algorithm

1×

intervals

Results

38.0ms	451×	body	128	nan
31.0ms	63×	body	4096	valid
26.0ms	40×	body	8192	valid
18.0ms	47×	body	2048	valid
13.0ms	166×	body	128	invalid
6.0ms	76×	body	128	valid
5.0ms	15×	body	1024	valid
2.0ms	9×	body	512	valid
1.0ms	6×	body	256	valid
1.0ms	3×	body	1024	invalid
0.0ms	1×	body	4096	invalid
0.0ms	2×	body	512	invalid
0.0ms	1×	body	2048	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify128.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5019	69

prune7.0ms (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

Error

58.4b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

16.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
16.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
29.3b	(+.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))))

rewrite122.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
117×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
45×	`cbrt-undiv_binary64_794` `div-exp_binary64_811`
6×	`*-un-lft-identity_binary64_760` `add-log-exp_binary64_799`
4×	`add-cube-cbrt_binary64_795` `pow1_binary64_821` `add-sqr-sqrt_binary64_782`
3×	`frac-2neg_binary64_771` `associate-/r_binary64_704` `div-inv_binary64_757` `associate-/l_binary64_705` `clear-num_binary64_759` `times-frac_binary64_766`
2×	`frac-add_binary64_768` `sqrt-div_binary64_777`
1×	`distribute-lft-out_binary64_711` `flip3-+_binary64_763` `flip-+_binary64_734` `+-commutative_binary64_690` `sum-log_binary64_851` `flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 143

Calls

4 calls:

52.0ms	(+.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))))
14.0ms	(/.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)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series605.0ms (6.2%)

Counts

4 → 12

Calls

4 calls:

316.0ms	(+.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))))
99.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
96.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
94.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify93.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5013	4040

prune230.0ms (2.3%)

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

Error

29.7b

Counts

157 → 6

Compiler

Compiled 8751 to 1782 computations (79.6% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

8.6b	(.f64 (/.f64 c0 (.f64 2 w)) 0)

rewrite9.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
7×	`associate-l_binary64_701`
6×	`add-sqr-sqrt_binary64_782`
4×	`*-un-lft-identity_binary64_760` `prod-exp_binary64_809` `add-cube-cbrt_binary64_795` `cbrt-unprod_binary64_793`
3×	`associate-r_binary64_700` `pow1_binary64_821` `times-frac_binary64_766`
2×	`cbrt-undiv_binary64_794` `div-exp_binary64_811`
1×	`unswap-sqr_binary64_728` `associate-l/_binary64_703` `add-log-exp_binary64_799` `div-inv_binary64_757` `mul0-rgt_binary64_743` `pow-prod-down_binary64_831` `-commutative_binary64_691`

Counts

1 → 28

Calls

1 calls:

7.0ms

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

series2.0ms (0%)

Counts

1 → 3

Calls

1 calls:

2.0ms

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

simplify76.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5033	110

prune26.0ms (0.3%)

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

Error

25.4b

Counts

37 → 6

Compiler

Compiled 337 to 260 computations (22.8% 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

prune6.0ms (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

Error

25.4b

Counts

6 → 6

Compiler

Compiled 164 to 103 computations (37.2% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

7.1b	(.f64 (/.f64 c0 (.f64 2 w)) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
9.5b	(.f64 c0 (.f64 d d))
12.6b	(.f64 (.f64 w h) (*.f64 D D))
16.3b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

rewrite80.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

396×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
231×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
92×	`cbrt-undiv_binary64_794` `div-exp_binary64_811`
23×	`pow1_binary64_821`
12×	`pow-prod-down_binary64_831`
11×	`associate-l_binary64_701` `add-sqr-sqrt_binary64_782`
8×	`*-un-lft-identity_binary64_760` `add-cube-cbrt_binary64_795`
7×	`associate-r_binary64_700`
5×	`times-frac_binary64_766`
4×	`add-log-exp_binary64_799`
3×	`div-inv_binary64_757` `*-commutative_binary64_691`
2×	`unswap-sqr_binary64_728`
1×	`frac-2neg_binary64_771` `associate-l/_binary64_703` `associate-/r_binary64_704` `associate-/l_binary64_705` `frac-times_binary64_770` `associate-r/_binary64_702` `clear-num_binary64_759`

Counts

4 → 205

Calls

4 calls:

20.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (/.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)))
7.0ms	(.f64 (.f64 w h) (*.f64 D D))
5.0ms	(.f64 c0 (.f64 d d))

series322.0ms (3.3%)

Counts

4 → 12

Calls

4 calls:

139.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D))))
112.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
48.0ms	(.f64 (.f64 w h) (*.f64 D D))
23.0ms	(.f64 c0 (.f64 d d))

simplify130.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

217 → 217

Iterations

Useful iterations: 0 (73.0ms)

Iter	Nodes	Cost
0	5002	5168

prune169.0ms (1.7%)

Pruning

13 alts after pruning (11 fresh and 2 done)

	Pruned	Kept	Total
New	208	9	217
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	210	13	223

Error

25.1b

Counts

223 → 13

Compiler

Compiled 4823 to 1279 computations (73.5% saved)

regimes394.0ms (4%)

Accuracy

Total 2.1b remaining (7%)

Threshold costs 0b (0%)

Compiler

Compiled 5344 to 3896 computations (27.1% saved)

bsearch2.0ms (0%)

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

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	162
1	50	162

end0.0ms (0%)

sample5.3s (54.2%)

Algorithm

1×

intervals

Results

1.1s	2173×	body	4096	valid
928.0ms	11862×	body	128	nan
692.0ms	1127×	body	8192	valid
503.0ms	1302×	body	2048	valid
308.0ms	3902×	body	128	invalid
202.0ms	2325×	body	128	valid
193.0ms	630×	body	1024	valid
69.0ms	310×	body	512	valid
22.0ms	57×	body	2048	invalid
20.0ms	133×	body	256	valid
17.0ms	51×	body	1024	invalid
8.0ms	36×	body	512	invalid
6.0ms	12×	body	4096	invalid
5.0ms	8×	body	8192	exit
3.0ms	20×	body	256	invalid

Compiler

Compiled 682 to 431 computations (36.8% saved)

Details

analyze1.9s (19.1%)

sample181.0ms (1.8%)

simplify128.0ms (1.3%)

prune7.0ms (0.1%)

localize20.0ms (0.2%)

rewrite122.0ms (1.2%)

series605.0ms (6.2%)

simplify93.0ms (0.9%)

prune230.0ms (2.3%)

localize5.0ms (0%)

rewrite9.0ms (0.1%)

series2.0ms (0%)

simplify76.0ms (0.8%)

prune26.0ms (0.3%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune6.0ms (0.1%)

localize13.0ms (0.1%)

rewrite80.0ms (0.8%)

series322.0ms (3.3%)

simplify130.0ms (1.3%)

prune169.0ms (1.7%)

regimes394.0ms (4%)

bsearch2.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample5.3s (54.2%)

Profiling