Details

analyze295.0ms (4.2%)

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)

sample27.0ms (0.4%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify80.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4915	43
1	4915	43

prune3.0ms (0%)

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)

localize15.0ms (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)
0.6b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite173.0ms (2.5%)

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:

10.0ms	(.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)

series747.0ms (10.6%)

Error

0.0b

Counts

4 → 50

Calls

4 calls:

365.0ms	(+.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)))))
190.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
67.0ms	(.f64 (.f64 b b) (+.f64 3 a))
52.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 3421 to 2546 computations (25.6% saved)

simplify69.0ms (1%)

Algorithm

1×	egg-herbie

Counts

137 → 137

Iterations

Useful iterations: 0 (43.0ms)

Iter	Nodes	Cost
0	5020	2413

prune190.0ms (2.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	134	3	137
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	135	3	138

Error

Counts

138 → 3

Compiler

Compiled 4419 to 2315 computations (47.6% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.5b	(.f64 a (.f64 b b))
0.6b	(.f64 (.f64 b b) (+.f64 3 a))
1.1b	(.f64 a (.f64 a (*.f64 b b)))

rewrite208.0ms (3%)

Algorithm

1×	rewrite-expression-head

Error

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:

11.0ms	(.f64 (.f64 b b) (+.f64 3 a))
10.0ms	(.f64 (.f64 a a) (-.f64 1 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)

series328.0ms (4.7%)

Error

Counts

4 → 26

Calls

4 calls:

84.0ms	(.f64 a (.f64 a (*.f64 b b)))
77.0ms	(.f64 (.f64 b b) (+.f64 3 a))
70.0ms	(.f64 a (.f64 b b))
57.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 2701 to 1928 computations (28.6% saved)

simplify88.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4929	1219
1	4929	1219

prune210.0ms (3%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	122	3	125

Error

Counts

125 → 3

Compiler

Compiled 4892 to 2757 computations (43.6% saved)

localize20.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.6b	(.f64 (.f64 b b) (+.f64 3 a))
22.0b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
22.0b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
22.0b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

rewrite189.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

24×	`cbrt-prod_binary64_1473`
13×	`*-un-lft-identity_binary64_1442`
12×	`add-sqr-sqrt_binary64_1464`
11×	`add-cube-cbrt_binary64_1477`
9×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478` `unpow-prod-down_binary64_1521`
4×	`add-log-exp_binary64_1481` `associate-r_binary64_1382`
3×	`pow1/3_binary64_1524` `unpow2_binary64_1507` `sqr-pow_binary64_1414` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
2×	`associate-*r/_binary64_1384`
1×	`unswap-sqr_binary64_1410` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `flip3-+_binary64_1445` `flip-+_binary64_1416` `associate-l_binary64_1383` `distribute-lft-out_binary64_1393` `*-commutative_binary64_1373`

Counts

4 → 72

Calls

4 calls:

9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))

Compiler

Compiled 4418 to 1987 computations (55% saved)

series750.0ms (10.7%)

Error

Counts

4 → 44

Calls

4 calls:

199.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
193.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
186.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 2))
85.0ms	(.f64 (.f64 b b) (+.f64 3 a))

Compiler

Compiled 6398 to 3930 computations (38.6% saved)

simplify99.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (78.0ms)

Iter	Nodes	Cost
0	4911	1931
1	4911	1931

prune233.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	116	0	116
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	116	3	119

Error

Counts

119 → 3

Compiler

Compiled 6485 to 2958 computations (54.4% saved)

localize13.0ms (0.2%)

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))
0.5b	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))

rewrite185.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

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:

12.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
11.0ms	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
9.0ms	(*.f64 (pow.f64 a 3) (+.f64 a -4))
6.0ms	(.f64 2 (.f64 b b))

Compiler

Compiled 3084 to 1971 computations (36.1% saved)

series560.0ms (8%)

Error

Counts

4 → 33

Calls

4 calls:

311.0ms	(+.f64 (.f64 (pow.f64 a 3) (+.f64 a -4)) (.f64 (.f64 a a) (+.f64 (.f64 2 (*.f64 b b)) 4)))
125.0ms	(.f64 (.f64 a a) (+.f64 (.f64 2 (.f64 b b)) 4))
60.0ms	(*.f64 (pow.f64 a 3) (+.f64 a -4))
25.0ms	(.f64 2 (.f64 b b))

Compiler

Compiled 1722 to 1453 computations (15.6% saved)

simplify98.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

130 → 130

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	4941	2309
1	4941	2309

prune152.0ms (2.2%)

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

Counts

133 → 3

Compiler

Compiled 3286 to 2095 computations (36.2% saved)

regimes523.0ms (7.4%)

Accuracy

Total 0.0b remaining (81.8%)

Threshold costs 0.0b (81.8%)

Compiler

Compiled 8244 to 5574 computations (32.4% 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%)

sample1.7s (24.9%)

Algorithm

1×

intervals

Results

467.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 1440 to 983 computations (31.7% saved)

Details

analyze295.0ms (4.2%)

sample27.0ms (0.4%)

simplify80.0ms (1.1%)

prune3.0ms (0%)

localize15.0ms (0.2%)

rewrite173.0ms (2.5%)

series747.0ms (10.6%)

simplify69.0ms (1%)

prune190.0ms (2.7%)

localize21.0ms (0.3%)

rewrite208.0ms (3%)

series328.0ms (4.7%)

simplify88.0ms (1.2%)

prune210.0ms (3%)

localize20.0ms (0.3%)

rewrite189.0ms (2.7%)

series750.0ms (10.7%)

simplify99.0ms (1.4%)

prune233.0ms (3.3%)

localize13.0ms (0.2%)

rewrite185.0ms (2.6%)

series560.0ms (8%)

simplify98.0ms (1.4%)

prune152.0ms (2.2%)

regimes523.0ms (7.4%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (24.9%)

Profiling