Details

analyze303.0ms (4.8%)

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)

sample29.0ms (0.5%)

Algorithm

1×

intervals

Results

16.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify80.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4915	43
1	4915	43

prune3.0ms (0.1%)

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)

localize16.0ms (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))
0.4b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
1.0b	(.f64 (.f64 b b) (+.f64 3 a))

rewrite178.0ms (2.8%)

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)

series814.0ms (12.8%)

Error

0.0b

Counts

4 → 54

Calls

4 calls:

399.0ms	(+.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)))))
201.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
83.0ms	(.f64 (.f64 b b) (+.f64 3 a))
47.0ms	(.f64 (.f64 a a) (-.f64 1 a))

Compiler

Compiled 3658 to 2730 computations (25.4% saved)

simplify96.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

141 → 141

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4962	2518
1	4962	2518

prune197.0ms (3.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	139	2	141
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	139	3	142

Error

0.0b

Counts

142 → 3

Compiler

Compiled 4462 to 2341 computations (47.5% saved)

localize21.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))
0.0b	(-.f64 (*.f64 a a) (pow.f64 a 3))
0.0b	(+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))))
1.6b	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))

rewrite368.0ms (5.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

60×	`cancel-sign-sub-inv_binary64_1408`
31×	`add-sqr-sqrt_binary64_1464`
27×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
26×	`associate-+r+_binary64_1374`
22×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
17×	`unpow-prod-down_binary64_1521` `cube-prod_binary64_1470`
12×	`associate-r_binary64_1382`
11×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
8×	`add-log-exp_binary64_1481` `difference-of-squares_binary64_1411`
7×	`unpow3_binary64_1508` `cube-mult_binary64_1472` `sqr-pow_binary64_1414`
5×	`sub-neg_binary64_1435`
4×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-r/_binary64_1384` `associate-l*_binary64_1383`
2×	`unswap-sqr_binary64_1410` `flip3-+_binary64_1445` `flip-+_binary64_1416` `*-commutative_binary64_1373` `flip3--_binary64_1446` `flip--_binary64_1417` `distribute-rgt-out--_binary64_1396` `distribute-lft-out--_binary64_1394`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372` `diff-log_binary64_1534`

Counts

4 → 141

Calls

4 calls:

13.0ms	(.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))
9.0ms	(+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))))
8.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))
7.0ms	(-.f64 (*.f64 a a) (pow.f64 a 3))

Compiler

Compiled 5937 to 3997 computations (32.7% saved)

series416.0ms (6.5%)

Error

0.0b

Counts

4 → 29

Calls

4 calls:

123.0ms	(+.f64 (pow.f64 a 4) (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))))
118.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))
71.0ms	(.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3)))
60.0ms	(-.f64 (*.f64 a a) (pow.f64 a 3))

Compiler

Compiled 2353 to 1862 computations (20.9% saved)

simplify82.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

170 → 170

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5238	2513

prune354.0ms (5.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	169	1	170
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	170	3	173

Error

0.0b

Counts

173 → 3

Compiler

Compiled 6368 to 4340 computations (31.8% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))
0.2b	(pow.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4)) 3)
1.6b	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))
24.0b	(cbrt.f64 (pow.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4)) 3))

rewrite343.0ms (5.4%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`associate-+l+_binary64_1375`
24×	`cancel-sign-sub-inv_binary64_1408`
18×	`add-sqr-sqrt_binary64_1464`
17×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
14×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391`
12×	`unpow-prod-down_binary64_1521` `cbrt-prod_binary64_1473` `cube-prod_binary64_1470`
10×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
6×	`add-log-exp_binary64_1481`
4×	`flip3-+_binary64_1445` `cube-div_binary64_1471` `flip-+_binary64_1416` `unpow3_binary64_1508` `cube-mult_binary64_1472` `sqr-pow_binary64_1414`
3×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475` `associate-r_binary64_1382` `pow-unpow_binary64_1519`
2×	`cbrt-div_binary64_1474` `associate-*r/_binary64_1384` `sub-neg_binary64_1435`
1×	`pow1/3_binary64_1524` `rem-cbrt-cube_binary64_1466` `unswap-sqr_binary64_1410` `associate-l_binary64_1383` `*-commutative_binary64_1373` `pow-pow_binary64_1514` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `rem-cube-cbrt_binary64_1465` `sum-log_binary64_1533` `+-commutative_binary64_1372`

Counts

4 → 108

Calls

4 calls:

18.0ms	(+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))
14.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4)) 3))
13.0ms	(pow.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4)) 3)
8.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))

Compiler

Compiled 5354 to 3761 computations (29.8% saved)

series471.0ms (7.4%)

Error

0.0b

Counts

4 → 38

Calls

4 calls:

127.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4)) 3))
124.0ms	(+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4))
110.0ms	(.f64 (.f64 b b) (+.f64 12 (.f64 a (+.f64 4 (.f64 2 a)))))
52.0ms	(pow.f64 (+.f64 (.f64 4 (-.f64 (.f64 a a) (pow.f64 a 3))) (pow.f64 a 4)) 3)

Compiler

Compiled 2957 to 2367 computations (20% saved)

simplify87.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

146 → 146

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5543	2837

prune300.0ms (4.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	146	0	146
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	146	3	149

Error

0.0b

Counts

149 → 3

Compiler

Compiled 5682 to 3945 computations (30.6% saved)

regimes460.0ms (7.2%)

Accuracy

Total 0.0b remaining (74.6%)

Threshold costs 0.0b (74.6%)

Compiler

Compiled 7655 to 5197 computations (32.1% 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 (27.1%)

Algorithm

1×

intervals

Results

516.0ms	8000×	body	128	valid
0.0ms	7×	body	128	invalid

Compiler

Compiled 1359 to 940 computations (30.8% saved)

Details

analyze303.0ms (4.8%)

sample29.0ms (0.5%)

simplify80.0ms (1.3%)

prune3.0ms (0.1%)

localize16.0ms (0.2%)

rewrite178.0ms (2.8%)

series814.0ms (12.8%)

simplify96.0ms (1.5%)

prune197.0ms (3.1%)

localize21.0ms (0.3%)

rewrite368.0ms (5.8%)

series416.0ms (6.5%)

simplify82.0ms (1.3%)

prune354.0ms (5.6%)

localize23.0ms (0.4%)

rewrite343.0ms (5.4%)

series471.0ms (7.4%)

simplify87.0ms (1.4%)

prune300.0ms (4.7%)

regimes460.0ms (7.2%)

bsearch0.0ms (0%)

simplify3.0ms (0%)

end0.0ms (0%)

sample1.7s (27.1%)

Profiling