Details

analyze405.0ms (4.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4923	86
1	4923	86
0	2	2
1	2	2

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
25%	74.9%	0.1%	5
25%	68.7%	6.3%	6
25%	53.1%	22%	7
25%	46.8%	28.2%	8
25%	33.6%	41.5%	9
28.1%	18%	54%	10
31.6%	12.1%	56.3%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 30 to 20 computations (33.3% saved)

sample48.0ms (0.6%)

Algorithm

1×

intervals

Results

31.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify93.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (83.0ms)

Iter	Nodes	Cost
0	4915	43
1	4915	43

prune6.0ms (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

0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.9b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite207.0ms (2.4%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

15×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
14×	`add-cbrt-cube_binary64_1478`
10×	`add-cube-cbrt_binary64_1477` `associate-r_binary64_1382`
6×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `add-log-exp_binary64_1481` `cbrt-unprod_binary64_1475` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `cancel-sign-sub-inv_binary64_1408`
4×	`associate-*r/_binary64_1384`
3×	`unpow-prod-down_binary64_1521` `pow-unpow_binary64_1519`
2×	`unswap-sqr_binary64_1410` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-l_binary64_1383` `*-commutative_binary64_1373` `sub-neg_binary64_1435` `difference-of-squares_binary64_1411` `associate-+r+_binary64_1374`
1×	`distribute-lft-out_binary64_1393` `pow-pow_binary64_1514` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `unpow2_binary64_1507` `sqr-pow_binary64_1414` `flip3--_binary64_1446` `flip--_binary64_1417` `distribute-lft-out--_binary64_1394` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 87

Calls

4 calls:

15.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3356 to 1686 computations (49.8% saved)

series928.0ms (10.9%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

440.0ms	(+.f64 (pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2) (.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a)))))
250.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
84.0ms	(.f64 (.f64 b b) (+.f64 3 a))
56.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 3658 to 2730 computations (25.4% saved)

simplify106.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4962	2518
1	4962	2518

prune255.0ms (3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	138	3	141
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	139	3	142

Error

0.0b

Counts

142 → 3

Compiler

Compiled 4501 to 2366 computations (47.4% saved)

localize39.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.8b	(.f64 a (.f64 b b))
0.9b	(.f64 (.f64 b b) (+.f64 3 a))
1.1b	(.f64 a (.f64 a (*.f64 b b)))

rewrite224.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

28×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
16×	`add-sqr-sqrt_binary64_1464`
15×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `*-un-lft-identity_binary64_1442`
12×	`associate-r_binary64_1382`
10×	`add-cube-cbrt_binary64_1477`
8×	`associate-l_binary64_1383`
6×	`cancel-sign-sub-inv_binary64_1408`
5×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
4×	`add-log-exp_binary64_1481` `-commutative_binary64_1373` `associate-r/_binary64_1384`
3×	`unswap-sqr_binary64_1410`
2×	`sub-neg_binary64_1435` `difference-of-squares_binary64_1411`
1×	`flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out_binary64_1393` `flip3--_binary64_1446` `flip--_binary64_1417` `distribute-lft-out--_binary64_1394`

Counts

4 → 96

Calls

4 calls:

12.0ms	(.f64 (.f64 a a) (-.f64 1 a))
8.0ms	(.f64 (.f64 b b) (+.f64 3 a))
8.0ms	(.f64 a (.f64 a (*.f64 b b)))
6.0ms	(.f64 a (.f64 b b))

Compiler

Compiled 4174 to 2266 computations (45.7% saved)

series409.0ms (4.8%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

107.0ms	(.f64 (.f64 b b) (+.f64 3 a))
97.0ms	(.f64 a (.f64 a (*.f64 b b)))
78.0ms	(.f64 a (.f64 b b))
62.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2783 to 1984 computations (28.7% saved)

simplify102.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

123 → 123

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4929	1229
1	4929	1229

prune255.0ms (3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	123	0	123
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	123	3	126

Error

0.0b

Counts

126 → 3

Compiler

Compiled 4912 to 2774 computations (43.5% saved)

localize34.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(.f64 (.f64 b (sqrt.f64 (+.f64 a 3))) (*.f64 b (sqrt.f64 (+.f64 a 3))))
0.3b	(*.f64 b (sqrt.f64 (+.f64 a 3)))
0.3b	(*.f64 b (sqrt.f64 (+.f64 a 3)))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite266.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

48×	`pow1_binary64_1503`
21×	`add-exp-log_binary64_1480`
20×	`add-sqr-sqrt_binary64_1464` `add-cbrt-cube_binary64_1478`
19×	`pow-prod-down_binary64_1513`
18×	`associate-*r/_binary64_1384`
16×	`*-un-lft-identity_binary64_1442` `sqrt-div_binary64_1459`
15×	`associate-r_binary64_1382`
12×	`add-cube-cbrt_binary64_1477`
10×	`prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `sqrt-prod_binary64_1458`
8×	`flip3-+_binary64_1445` `flip-+_binary64_1416`
7×	`associate-l_binary64_1383`
4×	`add-log-exp_binary64_1481` `unswap-sqr_binary64_1410` `pow-prod-up_binary64_1512` `frac-times_binary64_1452` `pow-sqr_binary64_1415`
3×	`unpow-prod-down_binary64_1521` `pow-unpow_binary64_1519` `*-commutative_binary64_1373`
2×	`distribute-lft-out_binary64_1393` `pow-plus_binary64_1505` `associate-*l/_binary64_1385`
1×	`pow-pow_binary64_1514` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `unpow2_binary64_1507` `sqr-pow_binary64_1414` `pow2_binary64_1523` `swap-sqr_binary64_1409`

Counts

4 → 110

Calls

4 calls:

14.0ms	(*.f64 b (sqrt.f64 (+.f64 a 3)))
14.0ms	(.f64 (.f64 b (sqrt.f64 (+.f64 a 3))) (*.f64 b (sqrt.f64 (+.f64 a 3))))
13.0ms	(*.f64 b (sqrt.f64 (+.f64 a 3)))
9.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 4689 to 2796 computations (40.4% saved)

series680.0ms (8%)

Error

0.0b

Counts

4 → 45

Calls

4 calls:

249.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
130.0ms	(*.f64 b (sqrt.f64 (+.f64 a 3)))
113.0ms	(*.f64 b (sqrt.f64 (+.f64 a 3)))
107.0ms	(.f64 (.f64 b (sqrt.f64 (+.f64 a 3))) (*.f64 b (sqrt.f64 (+.f64 a 3))))

Compiler

Compiled 4180 to 2948 computations (29.5% saved)

simplify90.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4946	2006
1	4946	2006

prune311.0ms (3.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	155	0	155
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	155	3	158

Error

0.0b

Counts

158 → 3

Compiler

Compiled 5839 to 3389 computations (42% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 2 (.f64 b b))
0.0b	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
0.1b	(*.f64 (pow.f64 a 3) (+.f64 a -4))
2.0b	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))

rewrite262.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

19×	`add-exp-log_binary64_1480` `add-sqr-sqrt_binary64_1464`
16×	`add-cbrt-cube_binary64_1478` `associate-l_binary64_1383`
14×	`pow1_binary64_1503`
12×	`-un-lft-identity_binary64_1442` `associate-r/_binary64_1384`
10×	`add-cube-cbrt_binary64_1477`
9×	`prod-exp_binary64_1491`
8×	`associate-r_binary64_1382`
7×	`cbrt-unprod_binary64_1475` `flip3-+_binary64_1445` `flip-+_binary64_1416`
6×	`pow-prod-down_binary64_1513` `add-log-exp_binary64_1481` `unswap-sqr_binary64_1410`
4×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `unpow-prod-down_binary64_1521` `cube-prod_binary64_1470` `frac-add_binary64_1450`
3×	`*-commutative_binary64_1373`
2×	`sqr-pow_binary64_1414` `associate-+l+_binary64_1375` `associate-+r+_binary64_1374`
1×	`pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `unpow3_binary64_1508` `cube-mult_binary64_1472` `distribute-lft-out_binary64_1393` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 97

Calls

4 calls:

17.0ms	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
11.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
8.0ms	(*.f64 (pow.f64 a 3) (+.f64 a -4))
6.0ms	(.f64 2 (.f64 b b))

Compiler

Compiled 3084 to 1971 computations (36.1% saved)

series755.0ms (8.9%)

Error

0.0b

Counts

4 → 33

Calls

4 calls:

424.0ms	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
187.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
64.0ms	(*.f64 (pow.f64 a 3) (+.f64 a -4))
40.0ms	(.f64 2 (.f64 b b))

Compiler

Compiled 1722 to 1453 computations (15.6% saved)

simplify119.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (84.0ms)

Iter	Nodes	Cost
0	4941	2309
1	4941	2309

prune181.0ms (2.1%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	130	0	130
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	130	3	133

Error

0.0b

Counts

133 → 3

Compiler

Compiled 3286 to 2095 computations (36.2% saved)

regimes543.0ms (6.4%)

Accuracy

Total 0.0b remaining (68.7%)

Threshold costs 0.0b (68.7%)

Compiler

Compiled 6969 to 4856 computations (30.3% saved)

bsearch0.0ms (0%)

simplify3.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	57	55
1	57	55

end0.0ms (0%)

sample2.2s (25.5%)

Algorithm

1×

intervals

Results

613.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 1236 to 876 computations (29.1% saved)

Details

analyze405.0ms (4.7%)

sample48.0ms (0.6%)

simplify93.0ms (1.1%)

prune6.0ms (0.1%)

localize17.0ms (0.2%)

rewrite207.0ms (2.4%)

series928.0ms (10.9%)

simplify106.0ms (1.2%)

prune255.0ms (3%)

localize39.0ms (0.5%)

rewrite224.0ms (2.6%)

series409.0ms (4.8%)

simplify102.0ms (1.2%)

prune255.0ms (3%)

localize34.0ms (0.4%)

rewrite266.0ms (3.1%)

series680.0ms (8%)

simplify90.0ms (1.1%)

prune311.0ms (3.6%)

localize13.0ms (0.1%)

rewrite262.0ms (3.1%)

series755.0ms (8.9%)

simplify119.0ms (1.4%)

prune181.0ms (2.1%)

regimes543.0ms (6.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample2.2s (25.5%)

Profiling