Details

analyze1.7s (16.4%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4856	36
1	4856	36
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
6.2%	93.7%	0.1%	5
6.2%	93.7%	0.1%	5
6.2%	90.5%	3.2%	6
6.2%	90.5%	3.2%	6
21.9%	67.1%	11%	7
21.9%	67.1%	11%	7
23.4%	64.8%	11.8%	8
23.4%	64.8%	11.8%	8
32%	52.7%	15.3%	9
32%	52.7%	15.3%	9
33.2%	51.3%	15.5%	10
33.2%	51.3%	15.5%	10
37.7%	45.2%	17.2%	11
37.7%	45.2%	17.2%	11
38.3%	44.4%	17.2%	12
38.3%	44.4%	17.2%	12
40.6%	41.3%	18%	13
40.6%	41.3%	18%	13
41%	41%	18%	14
41%	41%	18%	14

Compiler

Compiled 26 to 24 computations (7.7% saved)

sample1.3s (12.8%)

Algorithm

2×

intervals

Results

19.0ms	381×	body	128	valid
11.0ms	58×	body	1024	valid
11.0ms	71×	body	1024	nan
8.0ms	168×	body	128	nan
6.0ms	49×	body	512	nan
5.0ms	39×	body	512	valid
3.0ms	29×	body	256	valid
2.0ms	24×	body	256	nan
1.0ms	5×	body	2048	valid

Compiler

Compiled 5459 to 5877 computations (-7.7% saved)

simplify344.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (339.0ms)

Iter	Nodes	Cost
0	5144	18

prune3.0ms (0%)

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

18.4b

Counts

2 → 1

Compiler

Compiled 24 to 22 computations (8.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (-.f64 x y) (-.f64 1 y))
1.6b	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
4.6b	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))

rewrite265.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

15.4b

Rules

104×	`add-sqr-sqrt_binary64_11012`
96×	`*-un-lft-identity_binary64_10990`
64×	`times-frac_binary64_10996`
43×	`difference-of-squares_binary64_10959`
36×	`cancel-sign-sub-inv_binary64_10956`
29×	`add-cube-cbrt_binary64_11025`
26×	`distribute-lft-out--_binary64_10942`
8×	`log-prod_binary64_11076`
6×	`add-exp-log_binary64_11028` `associate-/r*_binary64_10934`
5×	`flip3--_binary64_10994` `flip--_binary64_10965` `add-log-exp_binary64_11029` `add-cbrt-cube_binary64_11026` `associate-/l*_binary64_10935`
4×	`pow1_binary64_11051` `associate-/r/_binary64_10936`
2×	`log-div_binary64_11077` `div-inv_binary64_10987` `div-sub_binary64_10995` `associate-/l/_binary64_10937`
1×	`log-pow_binary64_11079` `rem-log-exp_binary64_11031` `diff-log_binary64_11082` `sub-neg_binary64_10983` `associate--r-_binary64_10929` `div-exp_binary64_11041` `cbrt-undiv_binary64_11024` `frac-2neg_binary64_11001` `clear-num_binary64_10989`

Counts

3 → 130

Calls

3 calls:

19.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
17.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
9.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 2961 to 1869 computations (36.9% saved)

series677.0ms (6.7%)

Error

Counts

3 → 50

Calls

3 calls:

241.0ms	(log.f64 (-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y))))
205.0ms	(-.f64 1 (/.f64 (-.f64 x y) (-.f64 1 y)))
162.0ms	(/.f64 (-.f64 x y) (-.f64 1 y))

Compiler

Compiled 2377 to 1908 computations (19.7% saved)

simplify85.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5061	3805

prune211.0ms (2.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	178	2	180
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	178	3	181

Error

Counts

181 → 3

Compiler

Compiled 3533 to 2241 computations (36.6% saved)

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.3b	(/.f64 1 (*.f64 y y))
2.9b	(-.f64 (/.f64 (+.f64 x -1) y) (/.f64 1 (*.f64 y y)))
3.0b	(+.f64 (/.f64 x (.f64 y y)) (-.f64 (/.f64 (+.f64 x -1) y) (/.f64 1 (.f64 y y))))
8.3b	(/.f64 x (*.f64 y y))

rewrite219.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

27×	`*-un-lft-identity_binary64_10990`
25×	`add-sqr-sqrt_binary64_11012`
22×	`times-frac_binary64_10996`
20×	`add-exp-log_binary64_11028`
14×	`add-cbrt-cube_binary64_11026` `cancel-sign-sub-inv_binary64_10956`
12×	`pow1_binary64_11051` `add-cube-cbrt_binary64_11025`
11×	`add-log-exp_binary64_11029`
8×	`div-inv_binary64_10987` `associate-+r+_binary64_10922`
6×	`div-exp_binary64_11041` `associate-/l*_binary64_10935` `difference-of-squares_binary64_10959` `pow-flip_binary64_11064`
4×	`prod-exp_binary64_11039` `cbrt-undiv_binary64_11024` `distribute-lft-out_binary64_10941` `distribute-lft-out--_binary64_10942`
3×	`frac-add_binary64_10998`
2×	`cbrt-unprod_binary64_11023` `frac-2neg_binary64_11001` `clear-num_binary64_10989` `associate-/r*_binary64_10934` `diff-log_binary64_11082` `sum-log_binary64_11081` `frac-sub_binary64_10999` `flip3--_binary64_10994` `flip--_binary64_10965` `distribute-rgt-out--_binary64_10944` `sub-neg_binary64_10983` `1-exp_binary64_11034` `rec-exp_binary64_11040`
1×	`flip3-+_binary64_10993` `flip-+_binary64_10964` `associate-+r-_binary64_10924` `+-commutative_binary64_10920` `inv-pow_binary64_11075` `pow2_binary64_11071` `pow-prod-down_binary64_11061` `pow-prod-up_binary64_11060` `pow-plus_binary64_11053` `pow-sqr_binary64_10963`

Counts

4 → 109

Calls

4 calls:

25.0ms	(+.f64 (/.f64 x (.f64 y y)) (-.f64 (/.f64 (+.f64 x -1) y) (/.f64 1 (.f64 y y))))
16.0ms	(-.f64 (/.f64 (+.f64 x -1) y) (/.f64 1 (*.f64 y y)))
6.0ms	(/.f64 x (*.f64 y y))
5.0ms	(/.f64 1 (*.f64 y y))

Compiler

Compiled 3084 to 1678 computations (45.6% saved)

series645.0ms (6.3%)

Error

Counts

4 → 33

Calls

4 calls:

297.0ms	(+.f64 (/.f64 x (.f64 y y)) (-.f64 (/.f64 (+.f64 x -1) y) (/.f64 1 (.f64 y y))))
180.0ms	(-.f64 (/.f64 (+.f64 x -1) y) (/.f64 1 (*.f64 y y)))
102.0ms	(/.f64 x (*.f64 y y))
30.0ms	(/.f64 1 (*.f64 y y))

Compiler

Compiled 1648 to 1227 computations (25.5% saved)

simplify71.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (48.0ms)

Iter	Nodes	Cost
0	5180	2053

prune166.0ms (1.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	142	3	145

Error

Counts

145 → 3

Compiler

Compiled 3223 to 1851 computations (42.6% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.1b	(+.f64 (log.f64 (-.f64 1 x)) (+.f64 (log.f64 (/.f64 -1 y)) (/.f64 1 (*.f64 y (-.f64 1 x)))))
0.6b	(/.f64 1 (*.f64 y (-.f64 1 x)))
3.3b	(log.f64 (-.f64 1 x))
5.1b	(/.f64 x (*.f64 y (-.f64 1 x)))

rewrite238.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

31×	`*-un-lft-identity_binary64_10990`
21×	`add-exp-log_binary64_11028`
18×	`distribute-lft-out_binary64_10941`
17×	`pow1_binary64_11051`
16×	`add-sqr-sqrt_binary64_11012`
14×	`add-cbrt-cube_binary64_11026`
12×	`log-prod_binary64_11076`
10×	`add-cube-cbrt_binary64_11025` `log-pow_binary64_11079`
6×	`div-exp_binary64_11041` `add-log-exp_binary64_11029` `times-frac_binary64_10996` `div-inv_binary64_10987` `associate-/l*_binary64_10935` `associate-+l+_binary64_10923`
5×	`log-div_binary64_11077`
4×	`prod-exp_binary64_11039` `cbrt-undiv_binary64_11024` `flip3--_binary64_10994` `associate-*r/_binary64_10932` `associate-/r/_binary64_10936` `flip--_binary64_10965` `difference-of-squares_binary64_10959`
3×	`sum-log_binary64_11081` `associate-+l-_binary64_10925`
2×	`cbrt-unprod_binary64_11023` `frac-2neg_binary64_11001` `clear-num_binary64_10989` `associate-/r*_binary64_10934` `distribute-lft-out--_binary64_10942` `pow-flip_binary64_11064` `1-exp_binary64_11034` `rec-exp_binary64_11040`
1×	`rem-log-exp_binary64_11031` `inv-pow_binary64_11075` `pow-prod-down_binary64_11061` `flip3-+_binary64_10993` `flip-+_binary64_10964` `associate-+r-_binary64_10924` `associate-+r+_binary64_10922` `+-commutative_binary64_10920`

Counts

4 → 102

Calls

4 calls:

14.0ms	(+.f64 (log.f64 (-.f64 1 x)) (+.f64 (log.f64 (/.f64 -1 y)) (/.f64 1 (*.f64 y (-.f64 1 x)))))
7.0ms	(/.f64 1 (*.f64 y (-.f64 1 x)))
7.0ms	(/.f64 x (*.f64 y (-.f64 1 x)))
3.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 3461 to 2589 computations (25.2% saved)

series457.0ms (4.5%)

Error

Counts

4 → 27

Calls

4 calls:

174.0ms	(+.f64 (log.f64 (-.f64 1 x)) (+.f64 (log.f64 (/.f64 -1 y)) (/.f64 1 (*.f64 y (-.f64 1 x)))))
118.0ms	(/.f64 x (*.f64 y (-.f64 1 x)))
89.0ms	(/.f64 1 (*.f64 y (-.f64 1 x)))
41.0ms	(log.f64 (-.f64 1 x))

Compiler

Compiled 2011 to 1583 computations (21.3% saved)

simplify63.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5342	2024

prune235.0ms (2.3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	129	3	132

Error

Counts

132 → 3

Compiler

Compiled 3927 to 2919 computations (25.7% saved)

regimes911.0ms (9%)

Accuracy

Total 0.3b remaining (93.1%)

Threshold costs 0.3b (93.1%)

Compiler

Compiled 7431 to 6049 computations (18.6% saved)

bsearch3.0ms (0%)

Compiler: Compiled 7 to 6 computations (14.3% saved)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	196	66
1	196	66

end0.0ms (0%)

sample2.6s (25.3%)

Algorithm

1×

intervals

Results

312.0ms	5836×	body	128	valid
195.0ms	1039×	body	1024	valid
150.0ms	1012×	body	1024	nan
103.0ms	2805×	body	128	nan
91.0ms	686×	body	512	valid
72.0ms	680×	body	512	nan
33.0ms	365×	body	256	valid
27.0ms	378×	body	256	nan
21.0ms	74×	body	2048	valid

Compiler

Compiled 1323 to 1068 computations (19.3% saved)

Details

analyze1.7s (16.4%)

sample1.3s (12.8%)

simplify344.0ms (3.4%)

prune3.0ms (0%)

localize8.0ms (0.1%)

rewrite265.0ms (2.6%)

series677.0ms (6.7%)

simplify85.0ms (0.8%)

prune211.0ms (2.1%)

localize12.0ms (0.1%)

rewrite219.0ms (2.1%)

series645.0ms (6.3%)

simplify71.0ms (0.7%)

prune166.0ms (1.6%)

localize16.0ms (0.2%)

rewrite238.0ms (2.3%)

series457.0ms (4.5%)

simplify63.0ms (0.6%)

prune235.0ms (2.3%)

regimes911.0ms (9%)

bsearch3.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample2.6s (25.3%)

Profiling