Details

analyze2.0s (18%)

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)

sample178.0ms (1.6%)

Algorithm

1×

intervals

Results

36.0ms	71×	body	4096	valid
32.0ms	378×	body	128	nan
31.0ms	47×	body	8192	valid
18.0ms	34×	body	2048	valid
10.0ms	121×	body	128	invalid
6.0ms	75×	body	128	valid
6.0ms	19×	body	1024	valid
2.0ms	8×	body	512	valid
2.0ms	5×	body	2048	invalid
1.0ms	2×	body	1024	invalid
1.0ms	1×	body	8192	exit
0.0ms	2×	body	512	invalid
0.0ms	2×	body	256	valid
0.0ms	1×	body	256	invalid

Compiler

Compiled 105 to 49 computations (53.3% saved)

simplify56.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5500	63

prune5.0ms (0%)

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

Merged error: 60.2b

Counts

2 → 1

Compiler

Compiled 94 to 47 computations (50% saved)

localize20.0ms (0.2%)

Local error

Found 4 expressions with local error:

15.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
31.3b	(+.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))))

rewrite126.0ms (1.2%)

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`
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 → 143

Calls

4 calls:

49.0ms	(+.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))))
16.0ms	(/.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)))
13.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series1.1s (9.9%)

Counts

4 → 12

Calls

4 calls:

524.0ms	(+.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))))
190.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
186.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
174.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify76.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5615	4082

prune226.0ms (2.1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	149	6	155
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	150	6	156

Merged error: 32.5b

Counts

156 → 6

Compiler

Compiled 8883 to 1471 computations (83.4% saved)

localize6.0ms (0.1%)

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` `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` `associate-l/_binary64` `-commutative_binary64`

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)

simplify46.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

31 → 31

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5103	110

prune28.0ms (0.3%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	30	1	31
Fresh	0	5	5
Picked	1	0	1
Done	0	0	0
Total	31	6	37

Merged error: 27.4b

Counts

37 → 6

Compiler

Compiled 425 to 276 computations (35.1% saved)

localize0.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify5.0ms (0%)

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 (5 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	5	5
Picked	1	1
Done	0	0
Total	6	6

Merged error: 27.4b

Counts

6 → 6

Compiler

Compiled 252 to 119 computations (52.8% saved)

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

15.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
15.7b	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
18.5b	(/.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.f64 D D))
34.8b	(+.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 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.f64 D D))) (.f64 M M))))

rewrite123.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

207×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
107×	`cbrt-unprod_binary64` `prod-exp_binary64`
52×	`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`
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` `associate-/l/_binary64` `flip3--_binary64` `distribute-lft-out_binary64` `+-commutative_binary64` `flip--_binary64` `flip-+_binary64` `associate-*l/_binary64` `sum-log_binary64`

Counts

4 → 142

Calls

4 calls:

48.0ms	(+.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 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.f64 D D))) (.f64 M M))))
16.0ms	(/.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)))
14.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

series1.1s (10.1%)

Counts

4 → 12

Calls

4 calls:

522.0ms	(+.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 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.f64 D D))) (.f64 M M))))
221.0ms	(/.f64 (.f64 (/.f64 c0 (.f64 w h)) (.f64 d d)) (.f64 D D))
178.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))
178.0ms	(/.f64 (.f64 c0 (.f64 d d)) (.f64 (.f64 w h) (*.f64 D D)))

simplify80.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

154 → 154

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5203	4067

prune201.0ms (1.9%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	154	0	154
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	154	6	160

Merged error: 27.4b

Counts

160 → 6

Compiler

Compiled 8585 to 1353 computations (84.2% saved)

regimes171.0ms (1.6%)

Compiler: Compiled 2307 to 1248 computations (45.9% saved)

bsearch0.0ms (0%)

simplify1.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	1	1
1	1	1

end0.0ms (0%)

sample5.3s (49.2%)

Algorithm

1×

intervals

Results

1.1s	2161×	body	4096	valid
979.0ms	11756×	body	128	nan
798.0ms	1179×	body	8192	valid
488.0ms	1195×	body	2048	valid
356.0ms	4224×	body	128	invalid
202.0ms	2426×	body	128	valid
191.0ms	596×	body	1024	valid
72.0ms	305×	body	512	valid
28.0ms	68×	body	2048	invalid
22.0ms	138×	body	256	valid
18.0ms	58×	body	1024	invalid
10.0ms	44×	body	512	invalid
7.0ms	13×	body	4096	invalid
4.0ms	26×	body	256	invalid
4.0ms	6×	body	8192	exit

Compiler

Compiled 307 to 161 computations (47.6% saved)

Details

analyze2.0s (18%)

sample178.0ms (1.6%)

simplify56.0ms (0.5%)

prune5.0ms (0%)

localize20.0ms (0.2%)

rewrite126.0ms (1.2%)

series1.1s (9.9%)

simplify76.0ms (0.7%)

prune226.0ms (2.1%)

localize6.0ms (0.1%)

rewrite9.0ms (0.1%)

series3.0ms (0%)

simplify46.0ms (0.4%)

prune28.0ms (0.3%)

localize0.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify5.0ms (0%)

prune10.0ms (0.1%)

localize25.0ms (0.2%)

rewrite123.0ms (1.1%)

series1.1s (10.1%)

simplify80.0ms (0.7%)

prune201.0ms (1.9%)

regimes171.0ms (1.6%)

bsearch0.0ms (0%)

simplify1.0ms (0%)

end0.0ms (0%)

sample5.3s (49.2%)

Profiling