Details

analyze55.0ms (2%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
59.3%	40.6%	0.1%	6
76.5%	23.4%	0.1%	7
82%	18%	0.1%	8
87.8%	12.1%	0.1%	9
90.7%	9.2%	0.1%	10
93.8%	6.1%	0.1%	11
95.3%	4.6%	0.1%	12
96.8%	3.1%	0.1%	13
97.6%	2.3%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample23.0ms (0.8%)

Algorithm

1×

intervals

Results

14.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify189.0ms (7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

prune2.0ms (0.1%)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (+.f64 x y))

rewrite12.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_14400`
22×	`add-sqr-sqrt_binary64_14422`
20×	`times-frac_binary64_14406`
12×	`add-cube-cbrt_binary64_14435`
6×	`distribute-lft-out_binary64_14351`
5×	`difference-of-squares_binary64_14369` `distribute-lft-out--_binary64_14352` `associate-/l*_binary64_14345`
4×	`associate-/r*_binary64_14344`
3×	`add-exp-log_binary64_14438` `add-cbrt-cube_binary64_14436`
2×	`associate-/l/_binary64_14347` `associate-/r/_binary64_14346`
1×	`flip3-+_binary64_14403` `frac-2neg_binary64_14411` `cbrt-undiv_binary64_14434` `clear-num_binary64_14399` `div-exp_binary64_14451` `flip--_binary64_14375` `div-inv_binary64_14397` `flip3--_binary64_14404` `add-log-exp_binary64_14439` `pow1_binary64_14461` `flip-+_binary64_14374` `div-sub_binary64_14405`

Counts

1 → 46

Calls

1 calls:

8.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

series44.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

43.0ms

(/.f64 (-.f64 x y) (+.f64 x y))

simplify48.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	5176	810

prune38.0ms (1.4%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	44	5	49
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	44	6	50

Error

Counts

50 → 6

Compiler

Compiled 741 to 172 computations (76.8% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.0b	(/.f64 y (+.f64 x y))
0.0b	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))

rewrite44.0ms (1.6%)

Algorithm

1×	rewrite-expression-head

Rules

77×	`*-un-lft-identity_binary64_14400`
52×	`times-frac_binary64_14406`
43×	`add-sqr-sqrt_binary64_14422`
31×	`add-cube-cbrt_binary64_14435`
18×	`cancel-sign-sub-inv_binary64_14366`
15×	`distribute-lft-out_binary64_14351`
10×	`associate-/r/_binary64_14346`
8×	`associate-/r*_binary64_14344`
7×	`add-exp-log_binary64_14438` `distribute-lft-out--_binary64_14352` `add-cbrt-cube_binary64_14436`
6×	`associate-/l*_binary64_14345`
5×	`flip3-+_binary64_14403` `div-inv_binary64_14397` `add-log-exp_binary64_14439` `flip-+_binary64_14374`
4×	`difference-of-squares_binary64_14369`
3×	`pow1_binary64_14461` `distribute-rgt-out--_binary64_14354`
2×	`frac-2neg_binary64_14411` `cbrt-undiv_binary64_14434` `clear-num_binary64_14399` `div-exp_binary64_14451`
1×	`sub-neg_binary64_14393` `frac-sub_binary64_14409` `sub-div_binary64_14407` `flip--_binary64_14375` `flip3--_binary64_14404` `diff-log_binary64_14492`

Counts

3 → 111

Calls

3 calls:

24.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
5.0ms	(/.f64 x (+.f64 x y))
5.0ms	(/.f64 y (+.f64 x y))

series150.0ms (5.6%)

Counts

3 → 9

Calls

3 calls:

76.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
49.0ms	(/.f64 y (+.f64 x y))
24.0ms	(/.f64 x (+.f64 x y))

simplify139.0ms (5.2%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4921	1617
1	4921	1617

prune109.0ms (4%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	3	1	4
Picked	0	1	1
Done	0	1	1
Total	122	4	126

Error

Counts

126 → 4

Compiler

Compiled 1914 to 351 computations (81.7% saved)

localize14.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 x (+.f64 x y))
0.0b	(/.f64 y (+.f64 x y))
0.0b	(-.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 (/.f64 y (+.f64 x y)))))
2.6b	(log.f64 (exp.f64 (/.f64 y (+.f64 x y))))

rewrite90.0ms (3.3%)

Algorithm

1×	rewrite-expression-head

Rules

72×	`*-un-lft-identity_binary64_14400`
49×	`times-frac_binary64_14406`
46×	`add-sqr-sqrt_binary64_14422`
41×	`add-cube-cbrt_binary64_14435`
39×	`log-pow_binary64_14489`
36×	`exp-prod_binary64_14452`
22×	`cancel-sign-sub-inv_binary64_14366`
14×	`distribute-lft-out_binary64_14351`
8×	`associate-/r*_binary64_14344` `add-exp-log_binary64_14438` `associate-/r/_binary64_14346` `add-cbrt-cube_binary64_14436`
7×	`pow1_binary64_14461`
6×	`log-prod_binary64_14486` `associate-/l*_binary64_14345`
5×	`add-log-exp_binary64_14439`
4×	`flip3-+_binary64_14403` `div-inv_binary64_14397` `flip-+_binary64_14374`
3×	`associate--r+_binary64_14336`
2×	`frac-2neg_binary64_14411` `cbrt-undiv_binary64_14434` `difference-of-squares_binary64_14369` `clear-num_binary64_14399` `div-exp_binary64_14451` `distribute-lft-out--_binary64_14352`
1×	`sub-neg_binary64_14393` `rem-log-exp_binary64_14441` `flip--_binary64_14375` `flip3--_binary64_14404` `diff-log_binary64_14492`

Counts

4 → 136

Calls

4 calls:

35.0ms	(-.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 (/.f64 y (+.f64 x y)))))
14.0ms	(log.f64 (exp.f64 (/.f64 y (+.f64 x y))))
10.0ms	(/.f64 x (+.f64 x y))
10.0ms	(/.f64 y (+.f64 x y))

series266.0ms (9.9%)

Counts

4 → 12

Calls

4 calls:

105.0ms	(-.f64 (/.f64 x (+.f64 x y)) (log.f64 (exp.f64 (/.f64 y (+.f64 x y)))))
77.0ms	(log.f64 (exp.f64 (/.f64 y (+.f64 x y))))
45.0ms	(/.f64 x (+.f64 x y))
39.0ms	(/.f64 y (+.f64 x y))

simplify134.0ms (5%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4926	1827
1	4926	1827

prune121.0ms (4.5%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	148	4	152

Error

Counts

152 → 4

Compiler

Compiled 2530 to 478 computations (81.1% saved)

localize12.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 1 (+.f64 x y))
0.1b	(*.f64 (-.f64 x y) (/.f64 1 (+.f64 x y)))

rewrite55.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

37×	`*-un-lft-identity_binary64_14400`
29×	`add-sqr-sqrt_binary64_14422`
26×	`times-frac_binary64_14406`
20×	`add-cube-cbrt_binary64_14435`
18×	`associate-r_binary64_14340`
15×	`add-exp-log_binary64_14438`
9×	`add-cbrt-cube_binary64_14436`
7×	`distribute-lft-out_binary64_14351`
5×	`pow1_binary64_14461` `associate-l_binary64_14341`
4×	`associate-/r*_binary64_14344` `prod-exp_binary64_14449` `div-exp_binary64_14451` `associate-/r/_binary64_14346`
3×	`unswap-sqr_binary64_14368` `associate-/l*_binary64_14345`
2×	`1-exp_binary64_14444` `associate-*l/_binary64_14343` `cbrt-unprod_binary64_14433` `flip3-+_binary64_14403` `cbrt-undiv_binary64_14434` `frac-times_binary64_14410` `rec-exp_binary64_14450` `flip--_binary64_14375` `div-inv_binary64_14397` `flip3--_binary64_14404` `add-log-exp_binary64_14439` `flip-+_binary64_14374`
1×	`pow-prod-down_binary64_14471` `frac-2neg_binary64_14411` `difference-of-squares_binary64_14369` `clear-num_binary64_14399` `pow-flip_binary64_14474` `associate-r/_binary64_14342` `distribute-lft-out--_binary64_14352` `-commutative_binary64_14331` `un-div-inv_binary64_14398` `inv-pow_binary64_14485`

Counts

2 → 84

Calls

2 calls:

31.0ms	(*.f64 (-.f64 x y) (/.f64 1 (+.f64 x y)))
11.0ms	(/.f64 1 (+.f64 x y))

series64.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

44.0ms	(*.f64 (-.f64 x y) (/.f64 1 (+.f64 x y)))
20.0ms	(/.f64 1 (+.f64 x y))

simplify128.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

90 → 90

Iterations

Useful iterations: 0 (107.0ms)

Iter	Nodes	Cost
0	5037	1056

prune67.0ms (2.5%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	90	0	90
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	90	4	94

Error

Counts

94 → 4

Compiler

Compiled 1191 to 411 computations (65.5% saved)

regimes100.0ms (3.7%)

Accuracy

Total 0.0b remaining (86.8%)

Threshold costs 0.0b (86.8%)

Compiler

Compiled 651 to 351 computations (46.1% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	20
1	20	20

end0.0ms (0%)

sample773.0ms (28.7%)

Algorithm

1×

intervals

Results

273.0ms

8000×

body

128

valid

Compiler

Compiled 221 to 121 computations (45.2% saved)

Details

analyze55.0ms (2%)

sample23.0ms (0.8%)

simplify189.0ms (7%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite12.0ms (0.4%)

series44.0ms (1.6%)

simplify48.0ms (1.8%)

prune38.0ms (1.4%)

localize9.0ms (0.3%)

rewrite44.0ms (1.6%)

series150.0ms (5.6%)

simplify139.0ms (5.2%)

prune109.0ms (4%)

localize14.0ms (0.5%)

rewrite90.0ms (3.3%)

series266.0ms (9.9%)

simplify134.0ms (5%)

prune121.0ms (4.5%)

localize12.0ms (0.5%)

rewrite55.0ms (2%)

series64.0ms (2.4%)

simplify128.0ms (4.8%)

prune67.0ms (2.5%)

regimes100.0ms (3.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample773.0ms (28.7%)

Profiling