Details

analyze338.0ms (9.7%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
12.5%	87.4%	0.1%	5
18.7%	68.7%	12.6%	6
28.1%	59.3%	12.6%	7
32.8%	48.4%	18.8%	8
38.2%	42.9%	18.8%	9
41%	37.1%	22%	10
43.9%	34.1%	22%	11
45.5%	31%	23.5%	12
46.9%	29.6%	23.5%	13
47.7%	28%	24.3%	14

Compiler

Compiled 17 to 9 computations (47.1% saved)

sample53.0ms (1.5%)

Algorithm

1×

intervals

Results

28.0ms	112×	body	5120	exit
7.0ms	200×	body	80	valid
3.0ms	25×	body	320	valid
3.0ms	16×	body	640	valid
1.0ms	15×	body	160	valid
0.0ms	1×	body	80	overflowed

Compiler

Compiled 33 to 19 computations (42.4% saved)

simplify114.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	6198	18

prune7.0ms (0.2%)

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: 12.8b

Counts

2 → 2

Compiler

Compiled 40 to 26 computations (35% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (exp.f64 wj))
0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
3.4b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite42.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64`
48×	`add-sqr-sqrt_binary64`
38×	`times-frac_binary64`
23×	`add-cube-cbrt_binary64`
10×	`difference-of-squares_binary64`
9×	`associate-/l*_binary64`
8×	`distribute-lft-out_binary64`
7×	`associate-/r*_binary64` `add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
5×	`add-log-exp_binary64` `distribute-lft-out--_binary64`
3×	`pow1_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `cbrt-undiv_binary64` `associate-/r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64` `flip-+_binary64`
1×	`associate-+r-_binary64` `flip3--_binary64` `+-commutative_binary64` `flip--_binary64` `sum-log_binary64`

Counts

3 → 91

Calls

3 calls:

18.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
15.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
5.0ms	(/.f64 x (exp.f64 wj))

series29.0ms (0.8%)

Counts

3 → 9

Calls

3 calls:

11.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
11.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
7.0ms	(/.f64 x (exp.f64 wj))

simplify109.0ms (3.1%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	5862	2095

prune82.0ms (2.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	97	3	100
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	98	4	102

Merged error: 0.2b

Counts

102 → 4

Compiler

Compiled 2059 to 839 computations (59.3% saved)

localize6.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify13.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	0	0

prune8.0ms (0.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	3	3
Picked	1	1
Done	0	0
Total	4	4

Merged error: 0.2b

Counts

4 → 4

Compiler

Compiled 74 to 43 computations (41.9% saved)

localize10.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (exp.f64 wj))
0.0b	(/.f64 (+.f64 wj 1) (-.f64 (/.f64 x (exp.f64 wj)) wj))
0.1b	(/.f64 1 (/.f64 (+.f64 wj 1) (-.f64 (/.f64 x (exp.f64 wj)) wj)))
4.4b	(+.f64 wj (/.f64 1 (/.f64 (+.f64 wj 1) (-.f64 (/.f64 x (exp.f64 wj)) wj))))

rewrite85.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Rules

240×	`times-frac_binary64`
206×	`*-un-lft-identity_binary64`
204×	`add-sqr-sqrt_binary64`
99×	`add-cube-cbrt_binary64`
42×	`difference-of-squares_binary64`
39×	`associate-/r*_binary64`
33×	`distribute-lft-out_binary64`
21×	`distribute-lft-out--_binary64`
18×	`add-exp-log_binary64`
13×	`add-cbrt-cube_binary64`
11×	`associate-/r/_binary64`
10×	`associate-/l*_binary64`
9×	`div-exp_binary64`
8×	`div-inv_binary64`
6×	`add-log-exp_binary64`
5×	`pow1_binary64` `flip3--_binary64` `cbrt-undiv_binary64` `flip--_binary64`
3×	`clear-num_binary64` `frac-2neg_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `1-exp_binary64` `rec-exp_binary64` `flip-+_binary64`
1×	`inv-pow_binary64` `+-commutative_binary64` `pow-flip_binary64` `sum-log_binary64`

Counts

4 → 234

Calls

4 calls:

32.0ms	(+.f64 wj (/.f64 1 (/.f64 (+.f64 wj 1) (-.f64 (/.f64 x (exp.f64 wj)) wj))))
18.0ms	(/.f64 1 (/.f64 (+.f64 wj 1) (-.f64 (/.f64 x (exp.f64 wj)) wj)))
16.0ms	(/.f64 (+.f64 wj 1) (-.f64 (/.f64 x (exp.f64 wj)) wj))
5.0ms	(/.f64 x (exp.f64 wj))

series47.0ms (1.3%)

Counts

4 → 12

Calls

4 calls:

19.0ms	(/.f64 (+.f64 wj 1) (-.f64 (/.f64 x (exp.f64 wj)) wj))
10.0ms	(+.f64 wj (/.f64 1 (/.f64 (+.f64 wj 1) (-.f64 (/.f64 x (exp.f64 wj)) wj))))
10.0ms	(/.f64 1 (/.f64 (+.f64 wj 1) (-.f64 (/.f64 x (exp.f64 wj)) wj)))
7.0ms	(/.f64 x (exp.f64 wj))

simplify132.0ms (3.8%)

Algorithm

1×	egg-herbie

Counts

246 → 246

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4988	6581
1	4988	6581

prune169.0ms (4.8%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	246	0	246
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	246	4	250

Merged error: 0.2b

Counts

250 → 4

Compiler

Compiled 5901 to 2530 computations (57.1% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b

(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))

0.5b

(/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))

3.4b

(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))

rewrite31.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`*-un-lft-identity_binary64`
18×	`add-sqr-sqrt_binary64`
16×	`times-frac_binary64`
13×	`add-cube-cbrt_binary64`
7×	`add-log-exp_binary64`
5×	`associate-/r*_binary64` `distribute-rgt-out_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `distribute-rgt1-in_binary64`
3×	`pow1_binary64` `associate-/l*_binary64`
2×	`flip3-+_binary64` `associate-/l/_binary64` `flip3--_binary64` `associate-/r/_binary64` `div-sub_binary64` `difference-of-squares_binary64` `flip--_binary64` `flip-+_binary64`
1×	`sub-neg_binary64` `diff-log_binary64` `cbrt-undiv_binary64` `associate--r-_binary64` `clear-num_binary64` `frac-2neg_binary64` `distribute-lft-out--_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 68

Calls

3 calls:

14.0ms

(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))

11.0ms

(/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))

4.0ms

(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))

series34.0ms (1%)

Counts

3 → 9

Calls

3 calls:

16.0ms

(-.f64 wj (/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))))

13.0ms

(/.f64 (-.f64 (*.f64 wj (exp.f64 wj)) x) (+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj))))

5.0ms

(+.f64 (exp.f64 wj) (*.f64 wj (exp.f64 wj)))

simplify113.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

77 → 77

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5257	1863

prune44.0ms (1.3%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	77	0	77
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	77	4	81

Merged error: 0.2b

Counts

81 → 4

Compiler

Compiled 1713 to 612 computations (64.3% saved)

regimes87.0ms (2.5%)

Compiler: Compiled 285 to 174 computations (38.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	13
1	12	13

end0.0ms (0%)

sample1.9s (54.9%)

Algorithm

1×

intervals

Results

883.0ms	3821×	body	5120	exit
226.0ms	6155×	body	80	valid
92.0ms	798×	body	320	valid
84.0ms	461×	body	640	valid
47.0ms	586×	body	160	valid
3.0ms	77×	body	80	invalid
0.0ms	13×	body	80	overflowed

Compiler

Compiled 126 to 79 computations (37.3% saved)

Details

analyze338.0ms (9.7%)

sample53.0ms (1.5%)

simplify114.0ms (3.3%)

prune7.0ms (0.2%)

localize9.0ms (0.3%)

rewrite42.0ms (1.2%)

series29.0ms (0.8%)

simplify109.0ms (3.1%)

prune82.0ms (2.3%)

localize6.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify13.0ms (0.4%)

prune8.0ms (0.2%)

localize10.0ms (0.3%)

rewrite85.0ms (2.4%)

series47.0ms (1.3%)

simplify132.0ms (3.8%)

prune169.0ms (4.8%)

localize9.0ms (0.3%)

rewrite31.0ms (0.9%)

series34.0ms (1%)

simplify113.0ms (3.2%)

prune44.0ms (1.3%)

regimes87.0ms (2.5%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.9s (54.9%)

Profiling