Details

analyze224.0ms (6.1%)

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
25%	74.9%	0.1%	6
25%	74.9%	0.1%	7
43.7%	56.2%	0.1%	8
62.4%	37.4%	0.1%	9
65.5%	34.3%	0.1%	10
71.8%	27.7%	0.5%	11
79.2%	19.7%	1.1%	12
80.2%	18.7%	1.1%	13
82.8%	15%	2.2%	14

Compiler

Compiled 12 to 11 computations (8.3% saved)

sample18.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms	256×	body	128	valid
1.0ms	18×	body	128	invalid

Compiler

Compiled 23 to 24 computations (-4.3% saved)

simplify102.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	111	16
1	111	16

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

7.5b

Counts

2 → 1

Compiler

Compiled 22 to 20 computations (9.1% saved)

localize7.0ms (0.2%)

Local error

Found 2 expressions with local error:

3.5b	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
4.8b	(.f64 y (+.f64 1 (.f64 z z)))

rewrite21.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`times-frac_binary64_12019`
26×	`add-exp-log_binary64_12051`
20×	`add-sqr-sqrt_binary64_12035`
18×	`add-cube-cbrt_binary64_12048` `*-un-lft-identity_binary64_12013`
16×	`add-cbrt-cube_binary64_12049`
13×	`associate-/l*_binary64_11958`
12×	`div-exp_binary64_12064`
6×	`cbrt-undiv_binary64_12047`
5×	`prod-exp_binary64_12062`
4×	`pow1_binary64_12074` `associate-*r/_binary64_11955`
3×	`associate-l_binary64_11954` `div-inv_binary64_12010` `cbrt-unprod_binary64_12046` `associate-r_binary64_11953`
2×	`associate-/r/_binary64_11959` `rec-exp_binary64_12063` `flip3-+_binary64_12016` `add-log-exp_binary64_12052` `flip-+_binary64_11987` `1-exp_binary64_12057`
1×	`distribute-lft-in_binary64_11962` `-commutative_binary64_11944` `associate-/r_binary64_11957` `clear-num_binary64_12012` `unswap-sqr_binary64_11981` `pow-prod-down_binary64_12084` `frac-2neg_binary64_12024` `distribute-rgt-in_binary64_11963` `associate-/l/_binary64_11960`

Counts

2 → 74

Calls

2 calls:

9.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
6.0ms	(.f64 y (+.f64 1 (.f64 z z)))

series90.0ms (2.4%)

Counts

2 → 6

Calls

2 calls:

53.0ms	(/.f64 (/.f64 1 x) (.f64 y (+.f64 1 (.f64 z z))))
36.0ms	(.f64 y (+.f64 1 (.f64 z z)))

simplify69.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5190	1317

prune97.0ms (2.6%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	70	10	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	71	10	81

Error

6.2b

Counts

81 → 10

Compiler

Compiled 1427 to 875 computations (38.7% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(/.f64 1 (.f64 y (+.f64 1 (.f64 z z))))
3.3b	(.f64 (/.f64 1 x) (/.f64 1 (.f64 y (+.f64 1 (*.f64 z z)))))
4.8b	(.f64 y (+.f64 1 (.f64 z z)))

rewrite36.0ms (1%)

Algorithm

1×	rewrite-expression-head

Rules

99×	`add-exp-log_binary64_12051`
44×	`prod-exp_binary64_12062`
34×	`div-exp_binary64_12064`
31×	`add-cbrt-cube_binary64_12049`
25×	`add-sqr-sqrt_binary64_12035`
17×	`times-frac_binary64_12019` `rec-exp_binary64_12063` `1-exp_binary64_12057` `*-un-lft-identity_binary64_12013`
16×	`add-cube-cbrt_binary64_12048` `associate-l_binary64_11954`
15×	`pow1_binary64_12074`
12×	`associate-r_binary64_11953`
10×	`cbrt-unprod_binary64_12046`
9×	`cbrt-undiv_binary64_12047`
7×	`pow-prod-down_binary64_12084` `associate-*r/_binary64_11955`
6×	`pow-flip_binary64_12087`
4×	`associate-/r/_binary64_11959` `unswap-sqr_binary64_11981`
3×	`flip3-+_binary64_12016` `add-log-exp_binary64_12052` `div-inv_binary64_12010` `flip-+_binary64_11987` `inv-pow_binary64_12098` `associate-/l*_binary64_11958`
2×	`*-commutative_binary64_11944`
1×	`distribute-lft-in_binary64_11962` `un-div-inv_binary64_12011` `associate-/r_binary64_11957` `clear-num_binary64_12012` `associate-l/_binary64_11956` `frac-2neg_binary64_12024` `distribute-rgt-in_binary64_11963` `frac-times_binary64_12023`

Counts

3 → 127

Calls

3 calls:

14.0ms	(.f64 (/.f64 1 x) (/.f64 1 (.f64 y (+.f64 1 (*.f64 z z)))))
6.0ms	(/.f64 1 (.f64 y (+.f64 1 (.f64 z z))))
6.0ms	(.f64 y (+.f64 1 (.f64 z z)))

series137.0ms (3.7%)

Counts

3 → 9

Calls

3 calls:

51.0ms	(.f64 (/.f64 1 x) (/.f64 1 (.f64 y (+.f64 1 (*.f64 z z)))))
44.0ms	(/.f64 1 (.f64 y (+.f64 1 (.f64 z z))))
41.0ms	(.f64 y (+.f64 1 (.f64 z z)))

simplify96.0ms (2.6%)

Algorithm

1×	egg-herbie

Counts

136 → 136

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4920	2080
1	4920	2080

prune121.0ms (3.3%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	134	2	136
Fresh	3	6	9
Picked	1	0	1
Done	0	0	0
Total	138	8	146

Error

6.2b

Counts

146 → 8

Compiler

Compiled 2285 to 1437 computations (37.1% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.2b	(/.f64 1 (.f64 y (+.f64 1 (.f64 z z))))
3.3b	(/.f64 (/.f64 1 (.f64 y (+.f64 1 (.f64 z z)))) x)
4.8b	(.f64 y (+.f64 1 (.f64 z z)))

rewrite28.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

42×	`times-frac_binary64_12019`
35×	`add-exp-log_binary64_12051`
27×	`add-sqr-sqrt_binary64_12035`
25×	`add-cube-cbrt_binary64_12048` `*-un-lft-identity_binary64_12013`
19×	`add-cbrt-cube_binary64_12049`
15×	`div-exp_binary64_12064`
12×	`associate-/l_binary64_11958` `associate-r/_binary64_11955`
10×	`associate-/r/_binary64_11959`
8×	`pow1_binary64_12074`
7×	`cbrt-undiv_binary64_12047` `prod-exp_binary64_12062`
6×	`flip3-+_binary64_12016` `div-inv_binary64_12010` `flip-+_binary64_11987`
4×	`rec-exp_binary64_12063` `associate-/r*_binary64_11957` `1-exp_binary64_12057`
3×	`add-log-exp_binary64_12052` `associate-l_binary64_11954` `cbrt-unprod_binary64_12046` `associate-r_binary64_11953`
2×	`clear-num_binary64_12012` `pow-flip_binary64_12087` `pow-prod-down_binary64_12084` `frac-2neg_binary64_12024`
1×	`distribute-lft-in_binary64_11962` `*-commutative_binary64_11944` `unswap-sqr_binary64_11981` `inv-pow_binary64_12098` `distribute-rgt-in_binary64_11963` `associate-/l/_binary64_11960`

Counts

3 → 112

Calls

3 calls:

8.0ms	(/.f64 (/.f64 1 (.f64 y (+.f64 1 (.f64 z z)))) x)
6.0ms	(/.f64 1 (.f64 y (+.f64 1 (.f64 z z))))
6.0ms	(.f64 y (+.f64 1 (.f64 z z)))

series139.0ms (3.8%)

Counts

3 → 9

Calls

3 calls:

57.0ms	(/.f64 1 (.f64 y (+.f64 1 (.f64 z z))))
47.0ms	(/.f64 (/.f64 1 (.f64 y (+.f64 1 (.f64 z z)))) x)
35.0ms	(.f64 y (+.f64 1 (.f64 z z)))

simplify78.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

121 → 121

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4953	2211
1	4953	2211

prune110.0ms (3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	120	1	121
Fresh	2	5	7
Picked	0	1	1
Done	0	0	0
Total	122	7	129

Error

6.2b

Counts

129 → 7

Compiler

Compiled 2106 to 1243 computations (41% saved)

localize8.0ms (0.2%)

Local error

Found 2 expressions with local error:

3.3b	(.f64 (/.f64 1 x) (/.f64 (/.f64 1 y) (+.f64 1 (.f64 z z))))
4.8b	(/.f64 (/.f64 1 y) (+.f64 1 (*.f64 z z)))

rewrite55.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Rules

173×	`times-frac_binary64_12019`
126×	`add-sqr-sqrt_binary64_12035`
93×	`*-un-lft-identity_binary64_12013`
86×	`add-cube-cbrt_binary64_12048`
76×	`add-exp-log_binary64_12051`
45×	`associate-r_binary64_11953`
40×	`div-exp_binary64_12064`
28×	`add-cbrt-cube_binary64_12049`
20×	`prod-exp_binary64_12062`
13×	`associate-l_binary64_11954` `associate-/l*_binary64_11958`
12×	`unswap-sqr_binary64_11981` `cbrt-undiv_binary64_12047`
10×	`rec-exp_binary64_12063` `div-inv_binary64_12010` `1-exp_binary64_12057`
6×	`cbrt-unprod_binary64_12046`
4×	`associate-/r/_binary64_11959` `pow1_binary64_12074`
3×	`associate-/r*_binary64_11957`
2×	`flip3-+_binary64_12016` `add-log-exp_binary64_12052` `flip-+_binary64_11987`
1×	`-commutative_binary64_11944` `clear-num_binary64_12012` `pow-prod-down_binary64_12084` `associate-l/_binary64_11956` `frac-2neg_binary64_12024` `associate-*r/_binary64_11955` `frac-times_binary64_12023` `associate-/l/_binary64_11960`

Counts

2 → 182

Calls

2 calls:

26.0ms	(.f64 (/.f64 1 x) (/.f64 (/.f64 1 y) (+.f64 1 (.f64 z z))))
8.0ms	(/.f64 (/.f64 1 y) (+.f64 1 (*.f64 z z)))

series93.0ms (2.5%)

Counts

2 → 6

Calls

2 calls:

48.0ms	(.f64 (/.f64 1 x) (/.f64 (/.f64 1 y) (+.f64 1 (.f64 z z))))
45.0ms	(/.f64 (/.f64 1 y) (+.f64 1 (*.f64 z z)))

simplify109.0ms (3%)

Algorithm

1×	egg-herbie

Counts

188 → 188

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4974	4277
1	4974	4277

prune203.0ms (5.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	188	0	188
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	188	7	195

Error

6.2b

Counts

195 → 7

Compiler

Compiled 4019 to 2451 computations (39% saved)

regimes574.0ms (15.7%)

Accuracy

Total 1.5b remaining (24.1%)

Threshold costs 0b (0%)

Compiler

Compiled 6368 to 5365 computations (15.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	13	16
1	13	16

end0.0ms (0%)

sample1.2s (33.5%)

Algorithm

1×

intervals

Results

301.0ms	8000×	body	128	valid
16.0ms	448×	body	128	invalid

Compiler

Compiled 798 to 663 computations (16.9% saved)

Details

analyze224.0ms (6.1%)

sample18.0ms (0.5%)

simplify102.0ms (2.8%)

prune2.0ms (0.1%)

localize7.0ms (0.2%)

rewrite21.0ms (0.6%)

series90.0ms (2.4%)

simplify69.0ms (1.9%)

prune97.0ms (2.6%)

localize8.0ms (0.2%)

rewrite36.0ms (1%)

series137.0ms (3.7%)

simplify96.0ms (2.6%)

prune121.0ms (3.3%)

localize7.0ms (0.2%)

rewrite28.0ms (0.8%)

series139.0ms (3.8%)

simplify78.0ms (2.1%)

prune110.0ms (3%)

localize8.0ms (0.2%)

rewrite55.0ms (1.5%)

series93.0ms (2.5%)

simplify109.0ms (3%)

prune203.0ms (5.5%)

regimes574.0ms (15.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.2s (33.5%)

Profiling