Details

analyze1.9s (13.6%)

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)

sample198.0ms (1.4%)

Algorithm

1×

intervals

Results

44.0ms	70×	body	5120	valid
35.0ms	377×	body	80	nan
28.0ms	56×	body	2560	valid
17.0ms	27×	body	5120	exit
11.0ms	129×	body	80	invalid
9.0ms	24×	body	1280	valid
6.0ms	77×	body	80	valid
4.0ms	14×	body	640	valid
2.0ms	10×	body	320	valid
2.0ms	4×	body	2560	invalid
1.0ms	3×	body	1280	invalid
1.0ms	5×	body	160	valid
1.0ms	2×	body	640	invalid
1.0ms	1×	body	5120	invalid
0.0ms	1×	body	320	invalid
0.0ms	1×	body	160	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify108.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	5500	63

prune7.0ms (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: 59.6b

Counts

2 → 2

Compiler

Compiled 136 to 73 computations (46.3% saved)

localize20.0ms (0.1%)

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)))
28.4b	(+.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))))

rewrite127.0ms (0.9%)

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` `insert-posit16`
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 → 147

Calls

4 calls:

62.0ms	(+.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))))
18.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
17.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series1.1s (8.2%)

Counts

4 → 12

Calls

4 calls:

557.0ms	(+.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)))
192.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
190.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify104.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5619	4204

prune252.0ms (1.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	154	5	159
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	154	7	161

Merged error: 33.3b

Counts

161 → 7

Compiler

Compiled 9085 to 1511 computations (83.4% saved)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

4.0b	(.f64 (/.f64 c0 (.f64 2 w)) 0)

rewrite12.0ms (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` `insert-posit16` `associate-l/_binary64` `-commutative_binary64`

Counts

1 → 29

Calls

1 calls:

9.0ms

(*.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)

simplify83.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	5107	113

prune31.0ms (0.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	32	7	39

Merged error: 32.9b

Counts

39 → 7

Compiler

Compiled 422 to 279 computations (33.9% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify21.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (5.0ms)

Iter	Nodes	Cost
0	0	0

prune10.0ms (0.1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	1	1
Total	7	7

Merged error: 32.9b

Counts

7 → 7

Compiler

Compiled 246 to 119 computations (51.6% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

14.2b	(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	(/.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)))))
18.4b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
23.7b	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

rewrite112.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

176×	`add-exp-log_binary64`
99×	`add-cbrt-cube_binary64`
97×	`prod-exp_binary64`
49×	`cbrt-unprod_binary64`
45×	`div-exp_binary64`
23×	`cbrt-undiv_binary64`
16×	`add-sqr-sqrt_binary64`
15×	`pow-to-exp_binary64` `pow-exp_binary64`
11×	`*-un-lft-identity_binary64`
8×	`associate-/r*_binary64` `times-frac_binary64`
7×	`add-cube-cbrt_binary64`
5×	`pow1_binary64` `sqrt-prod_binary64`
4×	`add-log-exp_binary64` `associate-/r/_binary64` `difference-of-squares_binary64` `insert-posit16` `sqrt-div_binary64`
3×	`flip3--_binary64` `clear-num_binary64` `frac-2neg_binary64` `associate-/l*_binary64` `div-inv_binary64` `flip--_binary64`
2×	`distribute-lft-out--_binary64` `frac-sub_binary64`
1×	`pow1/2_binary64` `sqrt-pow1_binary64` `rem-sqrt-square_binary64`

Counts

4 → 140

Calls

4 calls:

48.0ms	(/.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)))))
23.0ms	(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)))
18.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
14.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

series2.7s (19.8%)

Counts

4 → 12

Calls

4 calls:

1.5s	(/.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)))))
920.0ms	(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)))
188.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
169.0ms	(/.f64 (.f64 (pow.f64 d 4) c0) (.f64 (pow.f64 D 4) (*.f64 w h)))

simplify121.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

152 → 152

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	4978	5380
1	4978	5380

prune325.0ms (2.3%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	147	5	152
Fresh	1	3	4
Picked	1	0	1
Done	1	1	2
Total	150	9	159

Merged error: 31.5b

Counts

159 → 9

Compiler

Compiled 8613 to 3077 computations (64.3% saved)

regimes287.0ms (2.1%)

Compiler: Compiled 4161 to 2247 computations (46% saved)

bsearch186.0ms (1.3%)

Steps

Iters	Range		Point
9	5.460793803087357e+85	5.0606040875477e+92	5.531166978488297e+85
4	4.647069439883648e-58	7.970998668881316e-58	7.813210311579946e-58

Compiler

Compiled 1 to 6 computations (-500% saved)

simplify6.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	45
1	34	45

end0.0ms (0%)

sample6.0s (43.6%)

Algorithm

1×

intervals

Results

1.4s	2288×	body	5120	valid
1.1s	12671×	body	80	nan
824.0ms	1713×	body	2560	valid
367.0ms	4365×	body	80	invalid
364.0ms	583×	body	5120	exit
304.0ms	779×	body	1280	valid
209.0ms	2514×	body	80	valid
125.0ms	402×	body	640	valid
47.0ms	201×	body	320	valid
31.0ms	72×	body	1280	invalid
24.0ms	50×	body	2560	invalid
16.0ms	103×	body	160	valid
13.0ms	40×	body	640	invalid
8.0ms	33×	body	320	invalid
6.0ms	11×	body	5120	invalid
3.0ms	20×	body	160	invalid

Compiler

Compiled 543 to 291 computations (46.4% saved)

Details

analyze1.9s (13.6%)

sample198.0ms (1.4%)

simplify108.0ms (0.8%)

prune7.0ms (0%)

localize20.0ms (0.1%)

rewrite127.0ms (0.9%)

series1.1s (8.2%)

simplify104.0ms (0.7%)

prune252.0ms (1.8%)

localize5.0ms (0%)

rewrite12.0ms (0.1%)

series3.0ms (0%)

simplify83.0ms (0.6%)

prune31.0ms (0.2%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify21.0ms (0.2%)

prune10.0ms (0.1%)

localize28.0ms (0.2%)

rewrite112.0ms (0.8%)

series2.7s (19.8%)

simplify121.0ms (0.9%)

prune325.0ms (2.3%)

regimes287.0ms (2.1%)

bsearch186.0ms (1.3%)

simplify6.0ms (0%)

end0.0ms (0%)

sample6.0s (43.6%)

Profiling