Details

analyze596.0ms (13.6%)

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
0%	99.9%	0.1%	5
3.1%	90.5%	6.3%	6
4.7%	85.9%	9.5%	7
21.1%	64%	14.9%	8
23.4%	58.9%	17.7%	9
27.7%	51.3%	21%	10
28.9%	48.5%	22.6%	11
31.1%	44.4%	24.5%	12
31.7%	42.9%	25.4%	13
32.7%	41%	26.3%	14

Compiler

Compiled 12 to 9 computations (25% saved)

sample62.0ms (1.4%)

Algorithm

1×

intervals

Results

23.0ms	54×	body	1024	valid
10.0ms	154×	body	128	valid
6.0ms	27×	body	512	valid
3.0ms	10×	body	1024	invalid
3.0ms	4×	body	2048	valid
3.0ms	13×	body	512	invalid
2.0ms	17×	body	256	valid
1.0ms	9×	body	256	invalid
0.0ms	10×	body	128	nan
0.0ms	3×	body	128	invalid

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify238.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4915	13
1	4915	13

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 11.9b

Counts

2 → 1

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize10.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
5.6b	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite19.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_11872`
24×	`times-frac_binary64_11878`
20×	`add-sqr-sqrt_binary64_11893` `add-cube-cbrt_binary64_11904`
18×	`unpow-prod-down_binary64_11948`
7×	`add-exp-log_binary64_11907` `distribute-lft-out_binary64_11825`
4×	`associate-/r/_binary64_11820` `add-cbrt-cube_binary64_11905` `associate-/r*_binary64_11818`
3×	`pow-unpow_binary64_11946` `associate-/l*_binary64_11819` `pow1_binary64_11930`
2×	`div-exp_binary64_11920` `div-inv_binary64_11869` `pow-exp_binary64_11937` `flip-+_binary64_11846` `add-log-exp_binary64_11908` `flip3-+_binary64_11875`
1×	`cbrt-undiv_binary64_11903` `pow-to-exp_binary64_11938` `sqr-pow_binary64_11844` `pow-pow_binary64_11941` `clear-num_binary64_11871` `frac-2neg_binary64_11883`

Counts

2 → 66

Calls

2 calls:

8.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
6.0ms	(/.f64 x (+.f64 x y))

series436.0ms (9.9%)

Counts

2 → 6

Calls

2 calls:

383.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
53.0ms	(/.f64 x (+.f64 x y))

simplify63.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5008	1128

prune70.0ms (1.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	69	4	73

Merged error: 0.5b

Counts

73 → 4

Compiler

Compiled 1167 to 323 computations (72.3% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (exp.f64 (neg.f64 y)) x)

rewrite8.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`times-frac_binary64_11878` `add-sqr-sqrt_binary64_11893` `add-cube-cbrt_binary64_11904` `*-un-lft-identity_binary64_11872`
3×	`add-cbrt-cube_binary64_11905` `associate-/r_binary64_11818` `associate-/l_binary64_11819`
2×	`add-exp-log_binary64_11907` `associate-/l/_binary64_11821`
1×	`exp-neg_binary64_11916` `cbrt-undiv_binary64_11903` `div-exp_binary64_11920` `div-inv_binary64_11869` `exp-diff_binary64_11917` `neg-sub0_binary64_11867` `clear-num_binary64_11871` `pow1_binary64_11930` `frac-2neg_binary64_11883` `add-log-exp_binary64_11908`

Counts

1 → 29

Calls

1 calls:

6.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

series48.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

48.0ms

(/.f64 (exp.f64 (neg.f64 y)) x)

simplify90.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (81.0ms)

Iter	Nodes	Cost
0	5088	428

prune27.0ms (0.6%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	30	2	32
Fresh	0	3	3
Picked	1	0	1
Done	0	0	0
Total	31	5	36

Merged error: 0.5b

Counts

36 → 5

Compiler

Compiled 400 to 146 computations (63.5% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 -1 (exp.f64 y))
0.0b	(/.f64 (/.f64 -1 (exp.f64 y)) (neg.f64 x))

rewrite35.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

238×	`times-frac_binary64_11878`
129×	`add-sqr-sqrt_binary64_11893` `add-cube-cbrt_binary64_11904` `*-un-lft-identity_binary64_11872`
42×	`distribute-lft-neg-in_binary64_11831` `distribute-rgt-neg-in_binary64_11832`
16×	`associate-/l*_binary64_11819`
14×	`neg-mul-1_binary64_11868`
13×	`div-inv_binary64_11869` `associate-/r*_binary64_11818`
9×	`add-cbrt-cube_binary64_11905`
7×	`add-exp-log_binary64_11907`
4×	`cbrt-undiv_binary64_11903` `div-exp_binary64_11920`
2×	`clear-num_binary64_11871` `pow1_binary64_11930` `frac-2neg_binary64_11883` `add-log-exp_binary64_11908`
1×	`associate-/l/_binary64_11821`

Counts

2 → 195

Calls

2 calls:

11.0ms	(/.f64 (/.f64 -1 (exp.f64 y)) (neg.f64 x))
4.0ms	(/.f64 -1 (exp.f64 y))

series92.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

56.0ms	(/.f64 (/.f64 -1 (exp.f64 y)) (neg.f64 x))
36.0ms	(/.f64 -1 (exp.f64 y))

simplify96.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5107	4496

prune165.0ms (3.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	201	5	206

Merged error: 0.5b

Counts

206 → 5

Compiler

Compiled 3241 to 1486 computations (54.1% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 x (exp.f64 y))
0.0b	(/.f64 1 (*.f64 x (exp.f64 y)))

rewrite14.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

11×	`add-exp-log_binary64_11907`
9×	`add-cbrt-cube_binary64_11905`
8×	`add-sqr-sqrt_binary64_11893`
7×	`pow1_binary64_11930`
6×	`add-cube-cbrt_binary64_11904` `*-un-lft-identity_binary64_11872`
4×	`div-exp_binary64_11920` `prod-exp_binary64_11918`
3×	`times-frac_binary64_11878` `associate-l_binary64_11815` `associate-/l_binary64_11819` `associate-r*_binary64_11814`
2×	`cbrt-undiv_binary64_11903` `pow-flip_binary64_11943` `rec-exp_binary64_11919` `1-exp_binary64_11913` `pow-prod-down_binary64_11940` `cbrt-unprod_binary64_11902` `add-log-exp_binary64_11908`
1×	`div-inv_binary64_11869` `inv-pow_binary64_11954` `associate-/r_binary64_11818` `unswap-sqr_binary64_11840` `clear-num_binary64_11871` `frac-2neg_binary64_11883` `-commutative_binary64_11805`

Counts

2 → 46

Calls

2 calls:

6.0ms	(/.f64 1 (*.f64 x (exp.f64 y)))
5.0ms	(*.f64 x (exp.f64 y))

series93.0ms (2.1%)

Counts

2 → 6

Calls

2 calls:

56.0ms	(/.f64 1 (*.f64 x (exp.f64 y)))
37.0ms	(*.f64 x (exp.f64 y))

simplify126.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (116.0ms)

Iter	Nodes	Cost
0	4574	455
1	4574	455

prune30.0ms (0.7%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	51	1	52
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	51	6	57

Merged error: 0.5b

Counts

57 → 6

Compiler

Compiled 447 to 179 computations (60% saved)

regimes53.0ms (1.2%)

Compiler: Compiled 166 to 112 computations (32.5% saved)

bsearch55.0ms (1.3%)

Steps

Iters	Range		Point
5	6.977896291431267e-09	2.45218032870609e-08	2.4109107341607288e-08
9	-6372.385543253148	-0.009324044925673233	-12.291317316508017

Compiler

Compiled 1 to 2 computations (-100% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	53
1	34	53

end0.0ms (0%)

sample2.0s (44.4%)

Algorithm

1×

intervals

Results

671.0ms	1683×	body	1024	valid
293.0ms	4635×	body	128	valid
236.0ms	988×	body	512	valid
135.0ms	180×	body	2048	valid
75.0ms	514×	body	256	valid
65.0ms	179×	body	1024	invalid
52.0ms	226×	body	512	invalid
22.0ms	158×	body	256	invalid
14.0ms	211×	body	128	invalid
9.0ms	189×	body	128	nan

Compiler

Compiled 171 to 110 computations (35.7% saved)

Details

analyze596.0ms (13.6%)

sample62.0ms (1.4%)

simplify238.0ms (5.4%)

prune3.0ms (0.1%)

localize10.0ms (0.2%)

rewrite19.0ms (0.4%)

series436.0ms (9.9%)

simplify63.0ms (1.4%)

prune70.0ms (1.6%)

localize4.0ms (0.1%)

rewrite8.0ms (0.2%)

series48.0ms (1.1%)

simplify90.0ms (2.1%)

prune27.0ms (0.6%)

localize5.0ms (0.1%)

rewrite35.0ms (0.8%)

series92.0ms (2.1%)

simplify96.0ms (2.2%)

prune165.0ms (3.7%)

localize5.0ms (0.1%)

rewrite14.0ms (0.3%)

series93.0ms (2.1%)

simplify126.0ms (2.9%)

prune30.0ms (0.7%)

regimes53.0ms (1.2%)

bsearch55.0ms (1.3%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample2.0s (44.4%)

Profiling