Details

analyze2.8s (15.9%)

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)

sample179.0ms (1%)

Algorithm

1×

intervals

Results

36.0ms	62×	body	4096	valid
30.0ms	333×	body	128	nan
27.0ms	40×	body	8192	valid
21.0ms	51×	body	2048	valid
10.0ms	118×	body	128	invalid
6.0ms	17×	body	1024	valid
6.0ms	71×	body	128	valid
3.0ms	14×	body	512	valid
1.0ms	2×	body	2048	invalid
0.0ms	1×	body	4096	invalid
0.0ms	1×	body	1024	invalid
0.0ms	2×	body	256	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify177.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	5019	69

prune13.0ms (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

61.2b

Counts

2 → 2

Compiler

Compiled 144 to 75 computations (47.9% saved)

localize41.0ms (0.2%)

Local error

Found 4 expressions with local error:

19.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
19.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
19.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
28.5b	(+.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))))

rewrite228.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

211×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
117×	`prod-exp_binary64_468` `cbrt-unprod_binary64_452`
45×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
6×	`*-un-lft-identity_binary64_419` `add-log-exp_binary64_458`
4×	`add-cube-cbrt_binary64_454` `add-sqr-sqrt_binary64_441` `pow1_binary64_480`
3×	`clear-num_binary64_418` `times-frac_binary64_425` `div-inv_binary64_416` `frac-2neg_binary64_430` `associate-/r_binary64_363` `associate-/l_binary64_364`
2×	`sqrt-div_binary64_436` `frac-add_binary64_427`
1×	`flip3-+_binary64_422` `sum-log_binary64_510` `distribute-lft-out_binary64_370` `flip3--_binary64_423` `flip-+_binary64_393` `flip--_binary64_394` `+-commutative_binary64_349`

Counts

4 → 143

Calls

4 calls:

65.0ms	(+.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))))
28.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
24.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series959.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

499.0ms	(+.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))))
165.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
157.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
138.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify141.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	5013	4040

prune550.0ms (3.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	151	4	155
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	152	5	157

Error

33.8b

Counts

157 → 5

Compiler

Compiled 8746 to 1783 computations (79.6% saved)

localize14.0ms (0.1%)

Local error

Found 1 expressions with local error:

10.6b

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

rewrite19.0ms (0.1%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`add-cbrt-cube_binary64_455` `add-exp-log_binary64_457`
7×	`associate-l_binary64_360`
6×	`add-sqr-sqrt_binary64_441`
4×	`*-un-lft-identity_binary64_419` `add-cube-cbrt_binary64_454` `prod-exp_binary64_468` `cbrt-unprod_binary64_452`
3×	`times-frac_binary64_425` `associate-r_binary64_359` `pow1_binary64_480`
2×	`div-exp_binary64_470` `cbrt-undiv_binary64_453`
1×	`associate-l/_binary64_362` `pow-prod-down_binary64_490` `add-log-exp_binary64_458` `div-inv_binary64_416` `unswap-sqr_binary64_387` `-commutative_binary64_350` `mul0-rgt_binary64_402`

Counts

1 → 28

Calls

1 calls:

15.0ms

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

series5.0ms (0%)

Counts

1 → 3

Calls

1 calls:

4.0ms

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

simplify95.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5033	110

prune28.0ms (0.2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	31	5	36

Error

29.3b

Counts

36 → 5

Compiler

Compiled 332 to 261 computations (21.4% saved)

localize1.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify11.0ms (0.1%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune13.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	0	0
Total	5	5

Error

29.3b

Counts

5 → 5

Compiler

Compiled 159 to 104 computations (34.6% saved)

localize34.0ms (0.2%)

Local error

Found 4 expressions with local error:

14.1b	(.f64 (/.f64 c0 (.f64 2 w)) (/.f64 (.f64 M M) (-.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))))))
15.7b	(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)))
19.1b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
19.7b	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

rewrite134.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

207×	`add-exp-log_binary64_457`
130×	`add-cbrt-cube_binary64_455`
111×	`prod-exp_binary64_468`
63×	`cbrt-unprod_binary64_452`
55×	`div-exp_binary64_470`
33×	`cbrt-undiv_binary64_453`
18×	`add-sqr-sqrt_binary64_441`
15×	`pow-exp_binary64_487` `pow-to-exp_binary64_488`
14×	`associate-r_binary64_359`
12×	`times-frac_binary64_425`
11×	`*-un-lft-identity_binary64_419`
9×	`add-cube-cbrt_binary64_454`
7×	`associate-l_binary64_360` `pow1_binary64_480`
4×	`sqrt-div_binary64_436` `add-log-exp_binary64_458` `div-inv_binary64_416` `associate-/r/_binary64_365` `sqrt-prod_binary64_435`
3×	`flip3--_binary64_423` `flip--_binary64_394`
2×	`clear-num_binary64_418` `difference-of-squares_binary64_388` `unswap-sqr_binary64_387` `frac-2neg_binary64_430` `associate-/r_binary64_363` `frac-sub_binary64_428` `associate-/l_binary64_364`
1×	`associate-l/_binary64_362` `pow-prod-down_binary64_490` `pow1/2_binary64_499` `frac-times_binary64_429` `associate-r/_binary64_361` `distribute-lft-out--_binary64_371` `*-commutative_binary64_350` `sqrt-pow1_binary64_437` `rem-sqrt-square_binary64_432`

Counts

4 → 158

Calls

4 calls:

47.0ms	(.f64 (/.f64 c0 (.f64 2 w)) (/.f64 (.f64 M M) (-.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))))))
18.0ms	(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)))

series2.5s (14%)

Counts

4 → 12

Calls

4 calls:

1.4s	(.f64 (/.f64 c0 (.f64 2 w)) (/.f64 (.f64 M M) (-.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))))))
732.0ms	(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)))
151.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))
142.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify161.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (46.0ms)

Iter	Nodes	Cost
0	5076	6911

prune511.0ms (2.9%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	165	5	170
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	166	9	175

Error

28.7b

Counts

175 → 9

Compiler

Compiled 9658 to 3537 computations (63.4% saved)

regimes705.0ms (4%)

Accuracy

Total 2.5b remaining (7.9%)

Threshold costs 0b (0%)

Compiler

Compiled 9874 to 5836 computations (40.9% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms (0%)

sample8.3s (47.2%)

Algorithm

1×

intervals

Results

1.6s	2102×	body	4096	valid
1.4s	11905×	body	128	nan
1.1s	1159×	body	8192	valid
797.0ms	1321×	body	2048	valid
484.0ms	3972×	body	128	invalid
288.0ms	2421×	body	128	valid
258.0ms	567×	body	1024	valid
110.0ms	312×	body	512	valid
35.0ms	54×	body	2048	invalid
30.0ms	56×	body	1024	invalid
27.0ms	118×	body	256	valid
12.0ms	14×	body	4096	invalid
9.0ms	26×	body	512	invalid
8.0ms	7×	body	8192	exit
2.0ms	9×	body	256	invalid

Compiler

Compiled 1028 to 603 computations (41.3% saved)

Details

analyze2.8s (15.9%)

sample179.0ms (1%)

simplify177.0ms (1%)

prune13.0ms (0.1%)

localize41.0ms (0.2%)

rewrite228.0ms (1.3%)

series959.0ms (5.5%)

simplify141.0ms (0.8%)

prune550.0ms (3.1%)

localize14.0ms (0.1%)

rewrite19.0ms (0.1%)

series5.0ms (0%)

simplify95.0ms (0.5%)

prune28.0ms (0.2%)

localize1.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify11.0ms (0.1%)

prune13.0ms (0.1%)

localize34.0ms (0.2%)

rewrite134.0ms (0.8%)

series2.5s (14%)

simplify161.0ms (0.9%)

prune511.0ms (2.9%)

regimes705.0ms (4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample8.3s (47.2%)

Profiling