Details

analyze56.0ms (2.4%)

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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

Compiler

Compiled 8 to 7 computations (12.5% saved)

sample13.0ms (0.6%)

Algorithm

1×

intervals

Results

6.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 15 to 15 computations (0% saved)

simplify171.0ms (7.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

Iter	Nodes	Cost
0	53	11
1	53	11

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 12 computations (14.3% saved)

localize6.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`times-frac_binary64_1431` `add-cube-cbrt_binary64_1457` `add-sqr-sqrt_binary64_1446` `*-un-lft-identity_binary64_1425`
3×	`associate-/r_binary64_1371` `add-cbrt-cube_binary64_1458` `associate-/l_binary64_1372` `add-exp-log_binary64_1460`
1×	`frac-2neg_binary64_1436` `clear-num_binary64_1424` `div-inv_binary64_1422` `div-exp_binary64_1473` `pow1_binary64_1483` `cbrt-undiv_binary64_1456` `add-log-exp_binary64_1461`

Counts

1 → 27

Calls

1 calls:

4.0ms

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

series63.0ms (2.7%)

Counts

1 → 3

Calls

1 calls:

63.0ms

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

simplify113.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (99.0ms)

Iter	Nodes	Cost
0	5122	540

prune22.0ms (0.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Merged error: 0.0b

Counts

31 → 3

Compiler

Compiled 427 to 91 computations (78.7% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(/.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))) (sqrt.f64 (fabs.f64 y)))
0.4b	(/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y)))

rewrite51.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

276×	`times-frac_binary64_1431`
154×	`add-cube-cbrt_binary64_1457` `add-sqr-sqrt_binary64_1446` `*-un-lft-identity_binary64_1425`
144×	`sqrt-prod_binary64_1440`
25×	`associate-/l*_binary64_1372`
12×	`associate-/r*_binary64_1371`
9×	`add-cbrt-cube_binary64_1458` `div-inv_binary64_1422` `add-exp-log_binary64_1460`
4×	`div-exp_binary64_1473` `cbrt-undiv_binary64_1456`
2×	`frac-2neg_binary64_1436` `clear-num_binary64_1424` `pow1_binary64_1483` `add-log-exp_binary64_1461`
1×	`associate-/l/_binary64_1374`

Counts

2 → 214

Calls

2 calls:

11.0ms	(/.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))) (sqrt.f64 (fabs.f64 y)))
4.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y)))

series156.0ms (6.6%)

Counts

2 → 6

Calls

2 calls:

96.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y)))
60.0ms	(/.f64 (/.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (fabs.f64 y))) (sqrt.f64 (fabs.f64 y)))

simplify135.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

220 → 220

Iterations

Useful iterations: 0 (66.0ms)

Iter	Nodes	Cost
0	4974	6701
1	4974	6701

prune161.0ms (6.8%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	219	1	220
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	220	3	223

Merged error: 0b

Counts

223 → 3

Compiler

Compiled 4768 to 665 computations (86.1% saved)

localize10.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (/.f64 1 (fabs.f64 y)))) (sqrt.f64 (fabs.f64 y)))
0.2b	(sqrt.f64 (/.f64 1 (fabs.f64 y)))
0.3b	(*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (/.f64 1 (fabs.f64 y))))

rewrite34.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

36×	`add-sqr-sqrt_binary64_1446`
35×	`sqrt-prod_binary64_1440`
28×	`times-frac_binary64_1431`
25×	`*-un-lft-identity_binary64_1425`
23×	`add-cube-cbrt_binary64_1457`
16×	`associate-r_binary64_1367`
10×	`add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460`
7×	`pow1_binary64_1483`
6×	`associate-/r*_binary64_1371`
4×	`unswap-sqr_binary64_1393`
3×	`associate-l_binary64_1368` `sqrt-div_binary64_1441` `sqrt-pow1_binary64_1442` `div-inv_binary64_1422` `rem-sqrt-square_binary64_1438` `add-log-exp_binary64_1461`
2×	`prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `associate-*r/_binary64_1369` `div-exp_binary64_1473` `cbrt-undiv_binary64_1456`
1×	`frac-2neg_binary64_1436` `pow-flip_binary64_1496` `inv-pow_binary64_1507` `pow1/2_binary64_1502` `clear-num_binary64_1424` `associate-/l_binary64_1372` `associate-/l/_binary64_1374` `-commutative_binary64_1358` `pow-prod-down_binary64_1493`

Counts

3 → 91

Calls

3 calls:

13.0ms	(*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (/.f64 1 (fabs.f64 y))))
9.0ms	(/.f64 (*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (/.f64 1 (fabs.f64 y)))) (sqrt.f64 (fabs.f64 y)))
3.0ms	(sqrt.f64 (/.f64 1 (fabs.f64 y)))

series203.0ms (8.6%)

Counts

3 → 9

Calls

3 calls:

87.0ms	(*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (/.f64 1 (fabs.f64 y))))
58.0ms	(/.f64 (*.f64 (fabs.f64 (-.f64 x y)) (sqrt.f64 (/.f64 1 (fabs.f64 y)))) (sqrt.f64 (fabs.f64 y)))
57.0ms	(sqrt.f64 (/.f64 1 (fabs.f64 y)))

simplify118.0ms (5%)

Algorithm

1×	egg-herbie

Counts

100 → 100

Iterations

Useful iterations: 0 (97.0ms)

Iter	Nodes	Cost
0	4709	1810
1	4709	1810

prune87.0ms (3.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	100	0	100
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	100	3	103

Merged error: 0b

Counts

103 → 3

Compiler

Compiled 1896 to 779 computations (58.9% saved)

localize9.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))
0.1b	(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
14.5b	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))

rewrite28.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

45×	`times-frac_binary64_1431`
41×	`add-cube-cbrt_binary64_1457` `add-sqr-sqrt_binary64_1446` `*-un-lft-identity_binary64_1425`
32×	`cbrt-prod_binary64_1453`
26×	`unpow-prod-down_binary64_1501` `cube-prod_binary64_1450`
8×	`add-cbrt-cube_binary64_1458` `add-exp-log_binary64_1460`
5×	`div-inv_binary64_1422`
4×	`pow1_binary64_1483`
3×	`associate-/r_binary64_1371` `pow-unpow_binary64_1499` `associate-/l_binary64_1372` `add-log-exp_binary64_1461`
2×	`pow-exp_binary64_1490` `rem-cube-cbrt_binary64_1447` `unpow3_binary64_1488` `cube-div_binary64_1451` `cube-mult_binary64_1452` `div-exp_binary64_1473` `cbrt-undiv_binary64_1456` `sqr-pow_binary64_1397`
1×	`frac-2neg_binary64_1436` `pow-pow_binary64_1494` `pow-to-exp_binary64_1491` `cbrt-div_binary64_1454` `clear-num_binary64_1424` `pow1/3_binary64_1504` `rem-cbrt-cube_binary64_1448`

Counts

3 → 115

Calls

3 calls:

5.0ms	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))
5.0ms	(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
3.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

series289.0ms (12.3%)

Counts

3 → 9

Calls

3 calls:

177.0ms	(pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3)
59.0ms	(cbrt.f64 (pow.f64 (/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y)) 3))
52.0ms	(/.f64 (fabs.f64 (-.f64 x y)) (fabs.f64 y))

simplify81.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

124 → 124

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5606	2434

prune88.0ms (3.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	124	0	124
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	124	3	127

Merged error: 0b

Counts

127 → 3

Compiler

Compiled 1950 to 563 computations (71.1% saved)

regimes30.0ms (1.3%)

Compiler: Compiled 111 to 98 computations (11.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	11
1	17	11

end0.0ms (0%)

sample416.0ms (17.6%)

Algorithm

1×

intervals

Results

187.0ms	8000×	body	128	valid
4.0ms	168×	body	128	invalid

Compiler

Compiled 46 to 41 computations (10.9% saved)

Details

analyze56.0ms (2.4%)

sample13.0ms (0.6%)

simplify171.0ms (7.3%)

prune2.0ms (0.1%)

localize6.0ms (0.2%)

rewrite6.0ms (0.2%)

series63.0ms (2.7%)

simplify113.0ms (4.8%)

prune22.0ms (0.9%)

localize7.0ms (0.3%)

rewrite51.0ms (2.2%)

series156.0ms (6.6%)

simplify135.0ms (5.7%)

prune161.0ms (6.8%)

localize10.0ms (0.4%)

rewrite34.0ms (1.4%)

series203.0ms (8.6%)

simplify118.0ms (5%)

prune87.0ms (3.7%)

localize9.0ms (0.4%)

rewrite28.0ms (1.2%)

series289.0ms (12.3%)

simplify81.0ms (3.4%)

prune88.0ms (3.7%)

regimes30.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample416.0ms (17.6%)

Profiling