Details

analyze540.0ms (12.9%)

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)

sample60.0ms (1.4%)

Algorithm

1×

intervals

Results

20.0ms	56×	body	1024	valid
11.0ms	144×	body	128	valid
8.0ms	38×	body	512	valid
4.0ms	6×	body	2048	valid
2.0ms	11×	body	512	invalid
2.0ms	12×	body	256	valid
2.0ms	5×	body	1024	invalid
1.0ms	8×	body	256	invalid
0.0ms	9×	body	128	nan
0.0ms	3×	body	128	invalid

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify164.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (67.0ms)

Iter	Nodes	Cost
0	4941	13
1	4941	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

Error

10.7b

Counts

2 → 1

Compiler

Compiled 18 to 12 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
6.4b	(pow.f64 (/.f64 x (+.f64 x y)) x)

rewrite19.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_11331`
24×	`times-frac_binary64_11337`
20×	`add-cube-cbrt_binary64_11366` `add-sqr-sqrt_binary64_11353`
18×	`unpow-prod-down_binary64_11410`
7×	`add-exp-log_binary64_11369` `distribute-lft-out_binary64_11282`
4×	`associate-/r/_binary64_11277` `associate-/r*_binary64_11275` `add-cbrt-cube_binary64_11367`
3×	`pow1_binary64_11392` `associate-/l*_binary64_11276` `pow-unpow_binary64_11408`
2×	`div-exp_binary64_11382` `div-inv_binary64_11328` `add-log-exp_binary64_11370` `flip3-+_binary64_11334` `flip-+_binary64_11305` `pow-exp_binary64_11399`
1×	`pow-pow_binary64_11403` `cbrt-undiv_binary64_11365` `frac-2neg_binary64_11342` `sqr-pow_binary64_11303` `clear-num_binary64_11330` `pow-to-exp_binary64_11400`

Counts

2 → 66

Calls

2 calls:

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

series218.0ms (5.2%)

Counts

2 → 6

Calls

2 calls:

192.0ms	(pow.f64 (/.f64 x (+.f64 x y)) x)
26.0ms	(/.f64 x (+.f64 x y))

simplify71.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4984	1130
1	4984	1130

prune66.0ms (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

Error

0.0b

Counts

73 → 4

Compiler

Compiled 1176 to 324 computations (72.4% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite7.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64_11331` `add-cube-cbrt_binary64_11366` `add-sqr-sqrt_binary64_11353` `times-frac_binary64_11337`
3×	`associate-/l_binary64_11276` `associate-/r_binary64_11275` `add-cbrt-cube_binary64_11367`
2×	`add-exp-log_binary64_11369` `associate-/l/_binary64_11278`
1×	`exp-diff_binary64_11379` `neg-sub0_binary64_11326` `div-exp_binary64_11382` `exp-neg_binary64_11378` `pow1_binary64_11392` `div-inv_binary64_11328` `cbrt-undiv_binary64_11365` `add-log-exp_binary64_11370` `frac-2neg_binary64_11342` `clear-num_binary64_11330`

Counts

1 → 29

Calls

1 calls:

6.0ms

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

series25.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

25.0ms

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

simplify69.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

32 → 32

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	6118	435

prune28.0ms (0.7%)

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

Error

Counts

36 → 5

Compiler

Compiled 409 to 135 computations (67% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64_11353`
13×	`associate-r_binary64_11271`
11×	`times-frac_binary64_11337`
10×	`*-un-lft-identity_binary64_11331`
9×	`add-cube-cbrt_binary64_11366`
6×	`add-exp-log_binary64_11369` `add-cbrt-cube_binary64_11367`
4×	`prod-exp_binary64_11380`
3×	`pow1_binary64_11392` `unswap-sqr_binary64_11299` `associate-l_binary64_11272`
2×	`exp-diff_binary64_11379` `neg-sub0_binary64_11326` `cbrt-unprod_binary64_11364` `div-exp_binary64_11382` `exp-neg_binary64_11378` `associate-*l/_binary64_11274` `frac-times_binary64_11341`
1×	`-commutative_binary64_11262` `1-exp_binary64_11375` `rec-exp_binary64_11381` `div-inv_binary64_11328` `cbrt-undiv_binary64_11365` `add-log-exp_binary64_11370` `un-div-inv_binary64_11329` `associate-r/_binary64_11273` `pow-prod-down_binary64_11402`

Counts

1 → 40

Calls

1 calls:

12.0ms

(*.f64 (exp.f64 (neg.f64 y)) (/.f64 1 x))

series24.0ms (0.6%)

Counts

1 → 3

Calls

1 calls:

24.0ms

(*.f64 (exp.f64 (neg.f64 y)) (/.f64 1 x))

simplify100.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (90.0ms)

Iter	Nodes	Cost
0	4852	468
1	4852	468

prune31.0ms (0.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	43	5	48

Error

Counts

48 → 5

Compiler

Compiled 498 to 202 computations (59.4% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

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

rewrite34.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

238×	`times-frac_binary64_11337`
129×	`*-un-lft-identity_binary64_11331` `add-cube-cbrt_binary64_11366` `add-sqr-sqrt_binary64_11353`
42×	`distribute-rgt-neg-in_binary64_11289` `distribute-lft-neg-in_binary64_11288`
16×	`associate-/l*_binary64_11276`
14×	`neg-mul-1_binary64_11327`
13×	`div-inv_binary64_11328` `associate-/r*_binary64_11275`
9×	`add-cbrt-cube_binary64_11367`
7×	`add-exp-log_binary64_11369`
4×	`div-exp_binary64_11382` `cbrt-undiv_binary64_11365`
2×	`pow1_binary64_11392` `add-log-exp_binary64_11370` `frac-2neg_binary64_11342` `clear-num_binary64_11330`
1×	`associate-/l/_binary64_11278`

Counts

2 → 195

Calls

2 calls:

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

series49.0ms (1.2%)

Counts

2 → 6

Calls

2 calls:

30.0ms	(/.f64 (/.f64 -1 (exp.f64 y)) (neg.f64 x))
19.0ms	(/.f64 -1 (exp.f64 y))

simplify108.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

201 → 201

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5297	4496

prune157.0ms (3.8%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	201	0	201
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	201	5	206

Error

Counts

206 → 5

Compiler

Compiled 3180 to 1452 computations (54.3% saved)

regimes233.0ms (5.6%)

Accuracy

Total 1.9b remaining (84.9%)

Threshold costs 0b (0%)

Compiler

Compiled 1337 to 780 computations (41.7% saved)

bsearch2.0ms (0%)

Compiler: Compiled 11 to 8 computations (27.3% saved)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	54	194
1	54	194

end0.0ms (0%)

sample2.1s (51%)

Algorithm

1×

intervals

Results

616.0ms	1696×	body	1024	valid
265.0ms	4597×	body	128	valid
225.0ms	1009×	body	512	valid
113.0ms	176×	body	2048	valid
72.0ms	522×	body	256	valid
53.0ms	162×	body	1024	invalid
49.0ms	230×	body	512	invalid
23.0ms	175×	body	256	invalid
15.0ms	214×	body	128	invalid
7.0ms	179×	body	128	nan

Compiler

Compiled 617 to 330 computations (46.5% saved)

Details

analyze540.0ms (12.9%)

sample60.0ms (1.4%)

simplify164.0ms (3.9%)

prune3.0ms (0.1%)

localize6.0ms (0.1%)

rewrite19.0ms (0.5%)

series218.0ms (5.2%)

simplify71.0ms (1.7%)

prune66.0ms (1.6%)

localize4.0ms (0.1%)

rewrite7.0ms (0.2%)

series25.0ms (0.6%)

simplify69.0ms (1.6%)

prune28.0ms (0.7%)

localize5.0ms (0.1%)

rewrite15.0ms (0.4%)

series24.0ms (0.6%)

simplify100.0ms (2.4%)

prune31.0ms (0.7%)

localize5.0ms (0.1%)

rewrite34.0ms (0.8%)

series49.0ms (1.2%)

simplify108.0ms (2.6%)

prune157.0ms (3.8%)

regimes233.0ms (5.6%)

bsearch2.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample2.1s (51%)

Profiling