Details

analyze1.9s (17.7%)

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)

sample171.0ms (1.6%)

Algorithm

1×

intervals

Results

32.0ms	67×	body	4096	valid
31.0ms	396×	body	128	nan
20.0ms	33×	body	8192	valid
19.0ms	45×	body	2048	valid
15.0ms	134×	body	128	invalid
6.0ms	72×	body	128	valid
6.0ms	18×	body	1024	valid
2.0ms	10×	body	512	valid
2.0ms	11×	body	256	valid
1.0ms	3×	body	2048	invalid
1.0ms	2×	body	1024	invalid
0.0ms	1×	body	512	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify131.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5019	69

prune6.0ms (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

Error

59.0b

Counts

2 → 1

Compiler

Compiled 98 to 48 computations (51% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

18.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
28.1b	(+.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))))

rewrite119.0ms (1.1%)

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:

51.0ms	(+.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)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series618.0ms (5.7%)

Counts

4 → 12

Calls

4 calls:

311.0ms	(+.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))))
104.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
104.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
100.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify92.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5013	4040

prune230.0ms (2.1%)

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

Error

33.0b

Counts

156 → 6

Compiler

Compiled 8794 to 1772 computations (79.8% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

7.9b	(.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)

simplify74.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	5033	110

prune27.0ms (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

Error

30.0b

Counts

37 → 6

Compiler

Compiled 380 to 250 computations (34.2% 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

prune10.0ms (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

30.0b

Counts

6 → 6

Compiler

Compiled 207 to 93 computations (55.1% saved)

localize23.0ms (0.2%)

Local error

Found 4 expressions with local error:

18.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
20.6b	(/.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.f64 D D))
36.1b	(+.f64 (/.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.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))))

rewrite115.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

207×	`add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
107×	`prod-exp_binary64_809` `cbrt-unprod_binary64_793`
52×	`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×	`associate-*l/_binary64_703` `distribute-lft-out_binary64_711` `flip3-+_binary64_763` `associate-/l/_binary64_707` `flip-+_binary64_734` `+-commutative_binary64_690` `sum-log_binary64_851` `flip--_binary64_735` `flip3--_binary64_764`

Counts

4 → 142

Calls

4 calls:

45.0ms	(+.f64 (/.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.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 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.f64 D D))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series884.0ms (8.1%)

Counts

4 → 12

Calls

4 calls:

554.0ms	(+.f64 (/.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.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))))
136.0ms	(/.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.f64 D D))
97.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
97.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify86.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5267	4055

prune195.0ms (1.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	150	4	154
Fresh	1	2	3
Picked	1	0	1
Done	0	2	2
Total	152	8	160

Error

30.0b

Counts

160 → 8

Compiler

Compiled 8577 to 1351 computations (84.2% saved)

regimes593.0ms (5.4%)

Accuracy

Total 1.0b remaining (3.3%)

Threshold costs 1.0b (3.3%)

Compiler

Compiled 11384 to 5686 computations (50.1% 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%)

sample5.6s (51%)

Algorithm

1×

intervals

Results

1.0s	2089×	body	4096	valid
930.0ms	12028×	body	128	nan
699.0ms	1153×	body	8192	valid
499.0ms	1278×	body	2048	valid
321.0ms	4073×	body	128	invalid
195.0ms	633×	body	1024	valid
186.0ms	2339×	body	128	valid
73.0ms	330×	body	512	valid
29.0ms	178×	body	256	valid
27.0ms	71×	body	2048	invalid
17.0ms	59×	body	1024	invalid
8.0ms	36×	body	512	invalid
4.0ms	6×	body	8192	exit
3.0ms	20×	body	256	invalid
3.0ms	6×	body	4096	invalid

Compiler

Compiled 1286 to 610 computations (52.6% saved)

Details

analyze1.9s (17.7%)

sample171.0ms (1.6%)

simplify131.0ms (1.2%)

prune6.0ms (0.1%)

localize20.0ms (0.2%)

rewrite119.0ms (1.1%)

series618.0ms (5.7%)

simplify92.0ms (0.8%)

prune230.0ms (2.1%)

localize5.0ms (0%)

rewrite9.0ms (0.1%)

series2.0ms (0%)

simplify74.0ms (0.7%)

prune27.0ms (0.2%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune10.0ms (0.1%)

localize23.0ms (0.2%)

rewrite115.0ms (1.1%)

series884.0ms (8.1%)

simplify86.0ms (0.8%)

prune195.0ms (1.8%)

regimes593.0ms (5.4%)

bsearch3.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.6s (51%)

Profiling