Details

analyze666.0ms (6.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	3819	52
1	3819	52
0	3	3
1	3	3

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
12.5%	87.4%	0.1%	4
12.5%	87.4%	0.1%	5
15.6%	84.3%	0.1%	6
32.8%	67.1%	0.1%	7
38.2%	61.6%	0.1%	8
46%	53.8%	0.1%	9
62.6%	37.3%	0.1%	10
67.2%	32.7%	0.1%	11
71.1%	28.8%	0.1%	12
81.6%	18.2%	0.1%	13
84.1%	15.7%	0.1%	14

Compiler

Compiled 10 to 9 computations (10% saved)

sample17.0ms (0.2%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 19 to 20 computations (-5.3% saved)

simplify180.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (175.0ms)

Iter	Nodes	Cost
0	3019	13
1	3019	13

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

8.5b

Counts

2 → 1

Compiler

Compiled 18 to 16 computations (11.1% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

8.5b	(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

rewrite102.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Error

6.4b

Rules

55×	`add-sqr-sqrt_binary64_15104`
53×	`*-un-lft-identity_binary64_15082`
42×	`times-frac_binary64_15088`
20×	`difference-of-squares_binary64_15051`
15×	`add-cube-cbrt_binary64_15117`
9×	`distribute-lft-out_binary64_15033`
8×	`associate-/r*_binary64_15026`
5×	`distribute-lft-out--_binary64_15034`
4×	`associate-/l*_binary64_15027`
3×	`add-exp-log_binary64_15120` `add-cbrt-cube_binary64_15118`
2×	`associate-/l/_binary64_15029` `associate-/r/_binary64_15028`
1×	`pow1_binary64_15143` `div-exp_binary64_15133` `add-log-exp_binary64_15121` `cbrt-undiv_binary64_15116` `frac-2neg_binary64_15093` `clear-num_binary64_15081` `div-inv_binary64_15079` `flip3-+_binary64_15085` `flip-+_binary64_15056` `flip3--_binary64_15086` `flip--_binary64_15057`

Counts

1 → 60

Calls

1 calls:

12.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

Compiler

Compiled 976 to 392 computations (59.8% saved)

series356.0ms (3.7%)

Error

0.0b

Counts

1 → 27

Calls

1 calls:

324.0ms

(/.f64 (+.f64 x y) (-.f64 1 (/.f64 y z)))

Compiler

Compiled 1059 to 743 computations (29.8% saved)

simplify59.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

87 → 87

Iterations

Useful iterations: 0 (37.0ms)

Iter	Nodes	Cost
0	4999	2116
1	4999	2116

prune100.0ms (1%)

Pruning

6 alts after pruning (6 fresh and 0 done)

	Pruned	Kept	Total
New	81	6	87
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	82	6	88

Error

1.2b

Counts

88 → 6

Compiler

Compiled 1131 to 479 computations (57.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

1.1b	(/.f64 1 (-.f64 1 (/.f64 y z)))
7.1b	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))

rewrite235.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

1.2b

Rules

91×	`add-sqr-sqrt_binary64_15104`
64×	`times-frac_binary64_15088`
59×	`*-un-lft-identity_binary64_15082`
30×	`associate-r_binary64_15022`
28×	`add-cube-cbrt_binary64_15117` `difference-of-squares_binary64_15051`
15×	`add-exp-log_binary64_15120`
9×	`add-cbrt-cube_binary64_15118`
8×	`associate-/r*_binary64_15026`
7×	`distribute-lft-out--_binary64_15034`
5×	`pow1_binary64_15143`
4×	`div-exp_binary64_15133` `prod-exp_binary64_15131` `associate-l_binary64_15023` `associate-/r/_binary64_15028`
3×	`unswap-sqr_binary64_15050` `associate-/l*_binary64_15027`
2×	`1-exp_binary64_15126` `rec-exp_binary64_15132` `add-log-exp_binary64_15121` `cbrt-unprod_binary64_15115` `cbrt-undiv_binary64_15116` `flip3-+_binary64_15085` `frac-times_binary64_15092` `flip-+_binary64_15056` `associate-*l/_binary64_15025` `div-inv_binary64_15079` `flip3--_binary64_15086` `flip--_binary64_15057`
1×	`pow-prod-down_binary64_15153` `un-div-inv_binary64_15080` `associate-r/_binary64_15024` `distribute-lft-out_binary64_15033` `-commutative_binary64_15013` `inv-pow_binary64_15167` `pow-flip_binary64_15156` `frac-2neg_binary64_15093` `clear-num_binary64_15081`

Counts

2 → 111

Calls

2 calls:

24.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))
9.0ms	(/.f64 1 (-.f64 1 (/.f64 y z)))

Compiler

Compiled 2156 to 1161 computations (46.2% saved)

series483.0ms (5%)

Error

0.0b

Counts

2 → 48

Calls

2 calls:

320.0ms	(*.f64 (+.f64 x y) (/.f64 1 (-.f64 1 (/.f64 y z))))
123.0ms	(/.f64 1 (-.f64 1 (/.f64 y z)))

Compiler

Compiled 1575 to 1137 computations (27.8% saved)

simplify84.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4975	2860
1	4975	2860

prune176.0ms (1.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	156	3	159
Fresh	3	2	5
Picked	0	1	1
Done	0	0	0
Total	159	6	165

Error

1.0b

Counts

165 → 6

Compiler

Compiled 1934 to 936 computations (51.6% saved)

localize7.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.2b	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 y x)))
8.6b	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 y x))

rewrite624.0ms (6.5%)

Algorithm

1×	rewrite-expression-head

Error

1.0b

Rules

316×	`times-frac_binary64_15088`
275×	`add-sqr-sqrt_binary64_15104`
273×	`*-un-lft-identity_binary64_15082`
107×	`add-cube-cbrt_binary64_15117`
84×	`difference-of-squares_binary64_15051`
42×	`associate-/r*_binary64_15026`
41×	`distribute-lft-out_binary64_15033`
21×	`distribute-lft-out--_binary64_15034`
15×	`add-exp-log_binary64_15120`
11×	`associate-/r/_binary64_15028` `associate-/l*_binary64_15027`
9×	`add-cbrt-cube_binary64_15118`
8×	`div-exp_binary64_15133`
6×	`div-inv_binary64_15079`
5×	`flip3-+_binary64_15085` `flip-+_binary64_15056`
4×	`cbrt-undiv_binary64_15116`
3×	`pow1_binary64_15143`
2×	`add-log-exp_binary64_15121` `frac-2neg_binary64_15093` `clear-num_binary64_15081` `associate-/l/_binary64_15029` `1-exp_binary64_15126` `rec-exp_binary64_15132`
1×	`div-sub_binary64_15087` `flip3--_binary64_15086` `flip--_binary64_15057` `inv-pow_binary64_15167` `pow-flip_binary64_15156`

Counts

2 → 237

Calls

2 calls:

18.0ms	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 y x)))
13.0ms	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 y x))

Compiler

Compiled 4583 to 2195 computations (52.1% saved)

series669.0ms (6.9%)

Error

0.0b

Counts

2 → 52

Calls

2 calls:

312.0ms	(/.f64 1 (/.f64 (-.f64 1 (/.f64 y z)) (+.f64 y x)))
293.0ms	(/.f64 (-.f64 1 (/.f64 y z)) (+.f64 y x))

Compiler

Compiled 2242 to 1616 computations (27.9% saved)

simplify105.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

289 → 289

Iterations

Useful iterations: 0 (36.0ms)

Iter	Nodes	Cost
0	4981	7713
1	4981	7713

prune249.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	287	2	289
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	290	5	295

Error

0.0b

Counts

295 → 5

Compiler

Compiled 3365 to 1462 computations (56.6% saved)

localize9.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (+.f64 x y))
0.0b	(/.f64 1 (+.f64 x y))
0.2b	(/.f64 1 (-.f64 (/.f64 1 (+.f64 x y)) (/.f64 y (*.f64 z (+.f64 x y)))))
11.1b	(/.f64 y (*.f64 z (+.f64 x y)))

rewrite288.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

62×	`add-sqr-sqrt_binary64_15104`
58×	`*-un-lft-identity_binary64_15082`
53×	`times-frac_binary64_15088`
32×	`add-cube-cbrt_binary64_15117`
23×	`associate-/r/_binary64_15028`
19×	`add-exp-log_binary64_15120`
15×	`add-cbrt-cube_binary64_15118` `associate-/r*_binary64_15026`
12×	`associate-*r/_binary64_15024` `difference-of-squares_binary64_15051`
11×	`flip3-+_binary64_15085` `flip-+_binary64_15056`
9×	`associate-/l*_binary64_15027`
8×	`pow1_binary64_15143` `distribute-rgt-out--_binary64_15036` `distribute-lft-out--_binary64_15034`
7×	`div-inv_binary64_15079`
6×	`div-exp_binary64_15133`
5×	`distribute-lft-out_binary64_15033`
4×	`add-log-exp_binary64_15121` `cbrt-undiv_binary64_15116` `associate-r_binary64_15022`
3×	`frac-2neg_binary64_15093` `clear-num_binary64_15081` `associate-l_binary64_15023`
2×	`prod-exp_binary64_15131` `cbrt-unprod_binary64_15115` `inv-pow_binary64_15167` `pow-flip_binary64_15156` `1-exp_binary64_15126` `rec-exp_binary64_15132`
1×	`frac-sub_binary64_15091` `flip3--_binary64_15086` `flip--_binary64_15057` `pow-prod-down_binary64_15153` `unswap-sqr_binary64_15050` `distribute-rgt-in_binary64_15032` `distribute-lft-in_binary64_15031` `*-commutative_binary64_15013`

Counts

4 → 145

Calls

4 calls:

19.0ms	(/.f64 1 (-.f64 (/.f64 1 (+.f64 x y)) (/.f64 y (*.f64 z (+.f64 x y)))))
7.0ms	(/.f64 y (*.f64 z (+.f64 x y)))
6.0ms	(*.f64 z (+.f64 x y))
5.0ms	(/.f64 1 (+.f64 x y))

Compiler

Compiled 3255 to 1302 computations (60% saved)

series962.0ms (10%)

Error

0.0b

Counts

4 → 69

Calls

4 calls:

514.0ms	(/.f64 1 (-.f64 (/.f64 1 (+.f64 x y)) (/.f64 y (*.f64 z (+.f64 x y)))))
194.0ms	(/.f64 y (*.f64 z (+.f64 x y)))
139.0ms	(*.f64 z (+.f64 x y))
55.0ms	(/.f64 1 (+.f64 x y))

Compiler

Compiled 2961 to 2146 computations (27.5% saved)

simplify100.0ms (1%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4969	4158
1	4969	4158

prune233.0ms (2.4%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	211	3	214
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	212	7	219

Error

0.0b

Counts

219 → 7

Compiler

Compiled 2880 to 1153 computations (60% saved)

regimes3.2s (33.1%)

Accuracy

Total 1.5b remaining (98.6%)

Threshold costs 0b (0%)

Compiler

Compiled 28651 to 21647 computations (24.4% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	48	25
1	48	25

end1.0ms (0%)

Compiler: Compiled 17 to 13 computations (23.5% saved)

sample722.0ms (7.5%)

Algorithm

1×

intervals

Results

245.0ms	7999×	body	128	valid
0.0ms	1×	body	512	valid

Compiler

Compiled 201 to 146 computations (27.4% saved)

Details

analyze666.0ms (6.9%)

sample17.0ms (0.2%)

simplify180.0ms (1.9%)

prune3.0ms (0%)

localize6.0ms (0.1%)

rewrite102.0ms (1.1%)

series356.0ms (3.7%)

simplify59.0ms (0.6%)

prune100.0ms (1%)

localize7.0ms (0.1%)

rewrite235.0ms (2.4%)

series483.0ms (5%)

simplify84.0ms (0.9%)

prune176.0ms (1.8%)

localize7.0ms (0.1%)

rewrite624.0ms (6.5%)

series669.0ms (6.9%)

simplify105.0ms (1.1%)

prune249.0ms (2.6%)

localize9.0ms (0.1%)

rewrite288.0ms (3%)

series962.0ms (10%)

simplify100.0ms (1%)

prune233.0ms (2.4%)

regimes3.2s (33.1%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end1.0ms (0%)

sample722.0ms (7.5%)

Profiling