Details

analyze322.0ms (9.3%)

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

sample51.0ms (1.5%)

Algorithm

1×

intervals

Results

27.0ms	130×	body	5120	exit
7.0ms	197×	body	80	valid
4.0ms	32×	body	320	valid
2.0ms	11×	body	640	valid
1.0ms	16×	body	160	valid
0.0ms	5×	body	80	invalid

simplify75.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	6196	12

prune8.0ms (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: 14.2b

Counts

2 → 2

localize11.0ms (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))
5.4b	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))

rewrite37.0ms (1.1%)

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:

17.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
12.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
5.0ms	(/.f64 x (exp.f64 wj))

series34.0ms (1%)

Counts

3 → 9

Calls

3 calls:

13.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1))
12.0ms	(+.f64 wj (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (+.f64 wj 1)))
9.0ms	(/.f64 x (exp.f64 wj))

simplify62.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5860	1345

prune134.0ms (3.9%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	95	5	100
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	97	5	102

Merged error: 0.2b

Counts

102 → 5

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 x (.f64 wj (+.f64 wj (.f64 x -2))))
0.3b	(.f64 wj (+.f64 wj (.f64 x -2)))

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64`
4×	`*-un-lft-identity_binary64` `add-log-exp_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-r_binary64` `associate-l_binary64`
2×	`flip3-+_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `flip-+_binary64` `associate-+r+_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `+-commutative_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

2 → 35

Calls

2 calls:

8.0ms	(.f64 wj (+.f64 wj (.f64 x -2)))
4.0ms	(+.f64 x (.f64 wj (+.f64 wj (.f64 x -2))))

series17.0ms (0.5%)

Counts

2 → 6

Calls

2 calls:

8.0ms	(+.f64 x (.f64 wj (+.f64 wj (.f64 x -2))))
8.0ms	(.f64 wj (+.f64 wj (.f64 x -2)))

simplify58.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4935	405
1	4935	405

prune53.0ms (1.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	41	5	46

Merged error: 0.2b

Counts

46 → 5

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 (*.f64 wj wj) 1))
0.0b	(/.f64 x (exp.f64 wj))
0.0b	(.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 (.f64 wj wj) 1)) (-.f64 wj 1))
5.4b	(+.f64 wj (.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 (.f64 wj wj) 1)) (-.f64 wj 1)))

rewrite59.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

127×	`add-sqr-sqrt_binary64`
95×	`times-frac_binary64`
82×	`*-un-lft-identity_binary64`
54×	`difference-of-squares_binary64`
42×	`associate-l_binary64`
40×	`add-cube-cbrt_binary64`
14×	`difference-of-sqr-1_binary64` `distribute-lft-out--_binary64`
13×	`add-cbrt-cube_binary64`
12×	`add-exp-log_binary64`
9×	`associate-/r_binary64` `associate-/l_binary64`
7×	`associate-r_binary64`
6×	`add-log-exp_binary64` `pow1_binary64`
5×	`flip3--_binary64` `flip--_binary64`
4×	`sub-neg_binary64` `associate-/r/_binary64`
3×	`cbrt-undiv_binary64` `div-inv_binary64` `div-exp_binary64`
2×	`associate-/l/_binary64` `cbrt-unprod_binary64` `associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `associate-+r+_binary64` `frac-times_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `div-sub_binary64` `+-commutative_binary64` `flip-+_binary64` `associate-l/_binary64` `sum-log_binary64` `-commutative_binary64`

Counts

4 → 176

Calls

4 calls:

24.0ms	(.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 (.f64 wj wj) 1)) (-.f64 wj 1))
17.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 (*.f64 wj wj) 1))
6.0ms	(+.f64 wj (.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 (.f64 wj wj) 1)) (-.f64 wj 1)))
5.0ms	(/.f64 x (exp.f64 wj))

series81.0ms (2.3%)

Counts

4 → 12

Calls

4 calls:

28.0ms	(+.f64 wj (.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 (.f64 wj wj) 1)) (-.f64 wj 1)))
23.0ms	(.f64 (/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 (.f64 wj wj) 1)) (-.f64 wj 1))
21.0ms	(/.f64 (-.f64 (/.f64 x (exp.f64 wj)) wj) (-.f64 (*.f64 wj wj) 1))
9.0ms	(/.f64 x (exp.f64 wj))

simplify68.0ms (2%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	4989	2791
1	4989	2791

prune210.0ms (6.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	188	5	193

Merged error: 0.2b

Counts

193 → 5

localize9.0ms (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))
0.2b	(/.f64 1 (/.f64 (+.f64 wj 1) (-.f64 (/.f64 x (exp.f64 wj)) wj)))
6.3b	(+.f64 wj (/.f64 1 (/.f64 (+.f64 wj 1) (-.f64 (/.f64 x (exp.f64 wj)) wj))))

rewrite80.0ms (2.3%)

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:

31.0ms	(+.f64 wj (/.f64 1 (/.f64 (+.f64 wj 1) (-.f64 (/.f64 x (exp.f64 wj)) wj))))
19.0ms	(/.f64 1 (/.f64 (+.f64 wj 1) (-.f64 (/.f64 x (exp.f64 wj)) wj)))
13.0ms	(/.f64 (+.f64 wj 1) (-.f64 (/.f64 x (exp.f64 wj)) wj))
4.0ms	(/.f64 x (exp.f64 wj))

series59.0ms (1.7%)

Counts

4 → 12

Calls

4 calls:

27.0ms	(/.f64 (+.f64 wj 1) (-.f64 (/.f64 x (exp.f64 wj)) wj))
12.0ms	(+.f64 wj (/.f64 1 (/.f64 (+.f64 wj 1) (-.f64 (/.f64 x (exp.f64 wj)) wj))))
11.0ms	(/.f64 1 (/.f64 (+.f64 wj 1) (-.f64 (/.f64 x (exp.f64 wj)) wj)))
9.0ms	(/.f64 x (exp.f64 wj))

simplify68.0ms (2%)

Algorithm

1×	egg-herbie

Counts

246 → 246

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4986	4195
1	4986	4195

prune274.0ms (8%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	246	0	246
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	246	5	251

Merged error: 0.2b

Counts

251 → 5

regimes93.0ms (2.7%)

Accuracy

Total 1.2b remaining (79.5%)

Threshold costs 0b (0%)

bsearch29.0ms (0.8%)

Steps

Iters	Range		Point
8	-1.646903655786832e-15	-3.874628806332446e-18	-7.962081679886866e-17

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	31
1	50	31

end0.0ms (0%)

sample1.5s (44.2%)

Algorithm

1×

intervals

Results

833.0ms	3841×	body	5120	exit
233.0ms	6124×	body	80	valid
92.0ms	822×	body	320	valid
86.0ms	504×	body	640	valid
43.0ms	550×	body	160	valid
3.0ms	70×	body	80	invalid
0.0ms	12×	body	80	overflowed

Details

analyze322.0ms (9.3%)

sample51.0ms (1.5%)

simplify75.0ms (2.2%)

prune8.0ms (0.2%)

localize11.0ms (0.3%)

rewrite37.0ms (1.1%)

series34.0ms (1%)

simplify62.0ms (1.8%)

prune134.0ms (3.9%)

localize5.0ms (0.2%)

rewrite12.0ms (0.4%)

series17.0ms (0.5%)

simplify58.0ms (1.7%)

prune53.0ms (1.5%)

localize11.0ms (0.3%)

rewrite59.0ms (1.7%)

series81.0ms (2.3%)

simplify68.0ms (2%)

prune210.0ms (6.1%)

localize9.0ms (0.3%)

rewrite80.0ms (2.3%)

series59.0ms (1.7%)

simplify68.0ms (2%)

prune274.0ms (8%)

regimes93.0ms (2.7%)

bsearch29.0ms (0.8%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.5s (44.2%)

Profiling