Details

analyze67.0ms (1%)

Algorithm

1×

Search

True	Other	False	Iter
0%	6.2%	93.8%	0
0%	6.2%	93.8%	1
0%	6.2%	93.8%	2
1.6%	3.1%	95.3%	3
1.6%	3.1%	95.3%	4
2.3%	1.6%	96.1%	5
2.3%	1.6%	96.1%	6
2.7%	0.8%	96.5%	7
2.7%	0.8%	96.5%	8
2.9%	0.4%	96.7%	9
2.9%	0.4%	96.7%	10
3%	0.2%	96.8%	11
3%	0.2%	96.8%	12
3.1%	0.1%	96.8%	13
3.1%	0.1%	96.8%	14

Compiler

Compiled 18 to 11 computations (38.9% saved)

sample45.0ms (0.7%)

Algorithm

1×

intervals

Results

16.0ms	256×	body	128	valid
8.0ms	256×	pre	128	true
0.0ms	3×	pre	128	false

Compiler

Compiled 31 to 21 computations (32.3% saved)

simplify315.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (134.0ms)

Iter	Nodes	Cost
0	4836	17
1	4836	17

prune7.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

14.6b

Counts

2 → 1

Compiler

Compiled 24 to 17 computations (29.2% saved)

localize16.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 a a) (.f64 b b))
0.0b	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))
14.1b	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))

rewrite119.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

8×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
7×	`add-sqr-sqrt_binary64_1464`
6×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
5×	`add-log-exp_binary64_1481`
4×	`pow1_binary64_1503` `times-frac_binary64_1448` `associate-/l*_binary64_1387`
3×	`difference-of-squares_binary64_1411` `sqrt-prod_binary64_1458`
2×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `flip3--_binary64_1446` `associate-/l/_binary64_1389` `flip--_binary64_1417`
1×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `frac-2neg_binary64_1453` `div-sub_binary64_1447` `clear-num_binary64_1441` `div-inv_binary64_1439` `associate-/r*_binary64_1386` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `diff-log_binary64_1534` `sub-neg_binary64_1435` `cancel-sign-sub-inv_binary64_1408`

Counts

3 → 52

Calls

3 calls:

16.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
9.0ms	(-.f64 (.f64 a a) (.f64 b b))
2.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 1164 to 244 computations (79% saved)

series689.0ms (10.6%)

Error

0.5b

Counts

3 → 30

Calls

3 calls:

290.0ms	(/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))
202.0ms	(-.f64 (.f64 a a) (.f64 b b))
153.0ms	(sqrt.f64 (fabs.f64 (/.f64 (-.f64 (.f64 a a) (.f64 b b)) (*.f64 a a))))

Compiler

Compiled 870 to 747 computations (14.1% saved)

simplify112.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4937	1189
1	4937	1189

prune117.0ms (1.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	81	1	82
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	81	2	83

Error

0.0b

Counts

83 → 2

Compiler

Compiled 1263 to 397 computations (68.6% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
0.0b	(/.f64 (+.f64 b a) a)
0.0b	(/.f64 (-.f64 a b) a)
0.0b	(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))

rewrite277.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

69×	`*-un-lft-identity_binary64_1442`
68×	`add-sqr-sqrt_binary64_1464`
58×	`times-frac_binary64_1448`
41×	`add-cube-cbrt_binary64_1477`
20×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
19×	`associate-r_binary64_1382`
16×	`associate-l_binary64_1383`
9×	`associate-/l*_binary64_1387`
7×	`pow1_binary64_1503` `distribute-lft-out_binary64_1393` `difference-of-squares_binary64_1411` `distribute-lft-out--_binary64_1394`
6×	`div-exp_binary64_1493` `cbrt-undiv_binary64_1476` `associate-/r*_binary64_1386`
4×	`prod-exp_binary64_1491` `add-log-exp_binary64_1481` `cbrt-unprod_binary64_1475` `unswap-sqr_binary64_1410` `div-inv_binary64_1439` `associate-/l/_binary64_1389`
3×	`sqrt-prod_binary64_1458`
2×	`frac-2neg_binary64_1453` `clear-num_binary64_1441`
1×	`pow-prod-down_binary64_1513` `frac-times_binary64_1452` `associate-l/_binary64_1385` `associate-r/_binary64_1384` `*-commutative_binary64_1373` `div-sub_binary64_1447` `flip3--_binary64_1446` `flip--_binary64_1417` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455`

Counts

4 → 143

Calls

4 calls:

32.0ms	(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))
11.0ms	(/.f64 (-.f64 a b) a)
10.0ms	(/.f64 (+.f64 b a) a)
2.0ms	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))

Compiler

Compiled 3107 to 760 computations (75.5% saved)

series802.0ms (12.3%)

Error

Counts

4 → 42

Calls

4 calls:

318.0ms	(*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))
157.0ms	(/.f64 (+.f64 b a) a)
151.0ms	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (/.f64 (-.f64 a b) a))))
124.0ms	(/.f64 (-.f64 a b) a)

Compiler

Compiled 1242 to 881 computations (29.1% saved)

simplify157.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

185 → 185

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4998	2730
1	4998	2730

prune242.0ms (3.7%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	184	1	185
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	184	3	187

Error

Counts

187 → 3

Compiler

Compiled 3307 to 912 computations (72.4% saved)

localize24.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 1 (/.f64 b a))
0.0b	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 1 (/.f64 b a)))))
0.0b	(/.f64 (+.f64 b a) a)
0.0b	(*.f64 (/.f64 (+.f64 b a) a) (-.f64 1 (/.f64 b a)))

rewrite331.0ms (5.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

66×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
56×	`times-frac_binary64_1448`
44×	`add-cube-cbrt_binary64_1477`
39×	`cancel-sign-sub-inv_binary64_1408`
16×	`associate-l_binary64_1383`
14×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
11×	`add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
8×	`associate-r_binary64_1382` `difference-of-squares_binary64_1411`
7×	`pow1_binary64_1503` `distribute-lft-out_binary64_1393`
6×	`add-log-exp_binary64_1481`
5×	`div-inv_binary64_1439`
4×	`associate-/l*_binary64_1387`
3×	`flip3--_binary64_1446` `flip--_binary64_1417` `sub-neg_binary64_1435` `associate-/r*_binary64_1386` `sqrt-prod_binary64_1458`
2×	`div-exp_binary64_1493` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `cbrt-undiv_binary64_1476` `frac-times_binary64_1452` `unswap-sqr_binary64_1410` `associate-*r/_binary64_1384` `distribute-lft-out--_binary64_1394` `associate-/l/_binary64_1389`
1×	`pow-prod-down_binary64_1513` `associate-l/_binary64_1385` `-commutative_binary64_1373` `frac-2neg_binary64_1453` `clear-num_binary64_1441` `flip3-+_binary64_1445` `flip-+_binary64_1416` `pow1/2_binary64_1522` `sqrt-pow1_binary64_1460` `rem-sqrt-square_binary64_1455` `diff-log_binary64_1534`

Counts

4 → 147

Calls

4 calls:

39.0ms	(*.f64 (/.f64 (+.f64 b a) a) (-.f64 1 (/.f64 b a)))
15.0ms	(-.f64 1 (/.f64 b a))
12.0ms	(/.f64 (+.f64 b a) a)
2.0ms	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 1 (/.f64 b a)))))

Compiler

Compiled 3362 to 1307 computations (61.1% saved)

series790.0ms (12.1%)

Error

Counts

4 → 42

Calls

4 calls:

355.0ms	(*.f64 (/.f64 (+.f64 b a) a) (-.f64 1 (/.f64 b a)))
148.0ms	(/.f64 (+.f64 b a) a)
121.0ms	(-.f64 1 (/.f64 b a))
116.0ms	(sqrt.f64 (fabs.f64 (*.f64 (/.f64 (+.f64 b a) a) (-.f64 1 (/.f64 b a)))))

Compiler

Compiled 1236 to 909 computations (26.5% saved)

simplify160.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

189 → 189

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4972	2918
1	4972	2918

prune256.0ms (3.9%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	189	0	189
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	189	3	192

Error

Counts

192 → 3

Compiler

Compiled 3315 to 1231 computations (62.9% saved)

regimes341.0ms (5.2%)

Accuracy

Total 0.0b remaining (76.6%)

Threshold costs 0.0b (76.6%)

Compiler

Compiled 1341 to 994 computations (25.9% saved)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	17
1	37	17

end0.0ms (0%)

sample1.6s (24.9%)

Algorithm

1×

intervals

Results

467.0ms	8000×	body	128	valid
291.0ms	8000×	pre	128	true
4.0ms	130×	pre	128	false

Compiler

Compiled 174 to 129 computations (25.9% saved)

Details

analyze67.0ms (1%)

sample45.0ms (0.7%)

simplify315.0ms (4.8%)

prune7.0ms (0.1%)

localize16.0ms (0.2%)

rewrite119.0ms (1.8%)

series689.0ms (10.6%)

simplify112.0ms (1.7%)

prune117.0ms (1.8%)

localize20.0ms (0.3%)

rewrite277.0ms (4.3%)

series802.0ms (12.3%)

simplify157.0ms (2.4%)

prune242.0ms (3.7%)

localize24.0ms (0.4%)

rewrite331.0ms (5.1%)

series790.0ms (12.1%)

simplify160.0ms (2.5%)

prune256.0ms (3.9%)

regimes341.0ms (5.2%)

bsearch0.0ms (0%)

simplify5.0ms (0.1%)

end0.0ms (0%)

sample1.6s (24.9%)

Profiling