Details

analyze2.2s (18.1%)

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)

sample172.0ms (1.4%)

Algorithm

1×

intervals

Results

35.0ms	62×	body	4096	valid
33.0ms	394×	body	128	nan
23.0ms	34×	body	8192	valid
16.0ms	38×	body	2048	valid
10.0ms	21×	body	1024	valid
10.0ms	118×	body	128	invalid
8.0ms	93×	body	128	valid
2.0ms	5×	body	512	valid
1.0ms	2×	body	2048	invalid
1.0ms	3×	body	256	valid
0.0ms	1×	body	1024	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify211.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5500	63

prune6.0ms (0%)

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: 59.9b

Counts

2 → 2

Compiler

Compiled 136 to 73 computations (46.3% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

18.9b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.9b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.9b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
25.1b	(+.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))))

rewrite133.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
117×	`prod-exp_binary64_797` `cbrt-unprod_binary64_781`
45×	`cbrt-undiv_binary64_782` `div-exp_binary64_799`
6×	`add-log-exp_binary64_787` `*-un-lft-identity_binary64_751`
4×	`add-cube-cbrt_binary64_783` `pow1_binary64_809` `add-sqr-sqrt_binary64_772`
3×	`associate-/r_binary64_697` `times-frac_binary64_757` `div-inv_binary64_748` `frac-2neg_binary64_762` `clear-num_binary64_750` `associate-/l_binary64_698`
2×	`sqrt-div_binary64_767` `frac-add_binary64_759`
1×	`distribute-lft-out_binary64_704` `+-commutative_binary64_683` `flip3-+_binary64_754` `flip--_binary64_726` `sum-log_binary64_839` `flip3--_binary64_755` `flip-+_binary64_725`

Counts

4 → 143

Calls

4 calls:

53.0ms	(+.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))))
17.0ms	(/.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)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series1.1s (9%)

Counts

4 → 12

Calls

4 calls:

530.0ms	(+.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))))
201.0ms	(/.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)))
180.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify79.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5615	4082

prune226.0ms (1.8%)

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

Merged error: 32.8b

Counts

157 → 6

Compiler

Compiled 8825 to 1467 computations (83.4% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

7.7b	(.f64 (/.f64 c0 (.f64 2 w)) 0)

rewrite12.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_784` `add-exp-log_binary64_786`
7×	`associate-l_binary64_694`
6×	`add-sqr-sqrt_binary64_772`
4×	`prod-exp_binary64_797` `add-cube-cbrt_binary64_783` `*-un-lft-identity_binary64_751` `cbrt-unprod_binary64_781`
3×	`pow1_binary64_809` `times-frac_binary64_757` `associate-r_binary64_693`
2×	`cbrt-undiv_binary64_782` `div-exp_binary64_799`
1×	`unswap-sqr_binary64_719` `add-log-exp_binary64_787` `pow-prod-down_binary64_819` `-commutative_binary64_684` `div-inv_binary64_748` `mul0-rgt_binary64_734` `associate-l/_binary64_696`

Counts

1 → 28

Calls

1 calls:

7.0ms

(*.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)

simplify48.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5104	110

prune29.0ms (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: 28.2b

Counts

37 → 6

Compiler

Compiled 367 to 272 computations (25.9% 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

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: 28.2b

Counts

6 → 6

Compiler

Compiled 194 to 115 computations (40.7% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

12.8b	(-.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))))
14.6b	(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)))
18.9b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
23.6b	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

rewrite113.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

171×	`add-exp-log_binary64_786`
96×	`prod-exp_binary64_797`
94×	`add-cbrt-cube_binary64_784`
48×	`cbrt-unprod_binary64_781`
43×	`div-exp_binary64_799`
21×	`cbrt-undiv_binary64_782`
15×	`pow-to-exp_binary64_817` `pow-exp_binary64_816`
10×	`add-sqr-sqrt_binary64_772`
7×	`*-un-lft-identity_binary64_751`
6×	`add-log-exp_binary64_787`
5×	`add-cube-cbrt_binary64_783` `pow1_binary64_809`
4×	`sqrt-div_binary64_767` `sqrt-prod_binary64_766`
3×	`flip--_binary64_726` `flip3--_binary64_755`
2×	`frac-sub_binary64_760` `associate-/r_binary64_697` `times-frac_binary64_757` `div-inv_binary64_748` `frac-2neg_binary64_762` `clear-num_binary64_750` `associate-/l_binary64_698` `difference-of-squares_binary64_720`
1×	`distribute-lft-out--_binary64_705` `rem-sqrt-square_binary64_764` `pow1/2_binary64_828` `diff-log_binary64_840` `sub-neg_binary64_744` `sqrt-pow1_binary64_768`

Counts

4 → 121

Calls

4 calls:

42.0ms	(-.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))))
20.0ms	(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)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
11.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

series1.8s (14.6%)

Counts

4 → 12

Calls

4 calls:

900.0ms	(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)))
538.0ms	(-.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)))
158.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

simplify93.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

133 → 133

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5052	4291

prune228.0ms (1.9%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	132	1	133
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	132	7	139

Merged error: 28.1b

Counts

139 → 7

Compiler

Compiled 7260 to 2596 computations (64.2% saved)

regimes209.0ms (1.7%)

Compiler: Compiled 2834 to 1766 computations (37.7% saved)

bsearch2.0ms (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%)

sample5.5s (45%)

Algorithm

1×

intervals

Results

1.1s	2100×	body	4096	valid
1.0s	11994×	body	128	nan
788.0ms	1141×	body	8192	valid
544.0ms	1274×	body	2048	valid
346.0ms	4017×	body	128	invalid
217.0ms	648×	body	1024	valid
205.0ms	2407×	body	128	valid
68.0ms	268×	body	512	valid
29.0ms	162×	body	256	valid
24.0ms	59×	body	2048	invalid
23.0ms	71×	body	1024	invalid
10.0ms	14×	body	8192	exit
7.0ms	29×	body	512	invalid
7.0ms	10×	body	4096	invalid
5.0ms	20×	body	256	invalid

Compiler

Compiled 431 to 218 computations (49.4% saved)

Details

analyze2.2s (18.1%)

sample172.0ms (1.4%)

simplify211.0ms (1.7%)

prune6.0ms (0%)

localize20.0ms (0.2%)

rewrite133.0ms (1.1%)

series1.1s (9%)

simplify79.0ms (0.6%)

prune226.0ms (1.8%)

localize5.0ms (0%)

rewrite12.0ms (0.1%)

series3.0ms (0%)

simplify48.0ms (0.4%)

prune29.0ms (0.2%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify6.0ms (0.1%)

prune7.0ms (0.1%)

localize30.0ms (0.2%)

rewrite113.0ms (0.9%)

series1.8s (14.6%)

simplify93.0ms (0.8%)

prune228.0ms (1.9%)

regimes209.0ms (1.7%)

bsearch2.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample5.5s (45%)

Profiling