Details

analyze305.0ms (4.8%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5012	92
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%	56.2%	18.8%	7
25%	48.4%	26.6%	8
25%	35.1%	39.9%	9
28.1%	18.3%	53.6%	10
31.6%	12.3%	56.1%	11
33.4%	5.9%	60.8%	12
35.2%	3.8%	61%	13
36.1%	2.9%	61%	14

Compiler

Compiled 32 to 22 computations (31.3% saved)

sample29.0ms (0.5%)

Algorithm

1×

intervals

Results

19.0ms

256×

body

128

valid

Compiler

Compiled 63 to 45 computations (28.6% saved)

simplify61.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5029	46

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 62 to 42 computations (32.3% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
0.8b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))

rewrite204.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

18×	`associate-*r/_binary64_1384`
17×	`pow1_binary64_1503` `add-exp-log_binary64_1480`
16×	`add-cbrt-cube_binary64_1478`
14×	`add-sqr-sqrt_binary64_1464`
12×	`*-un-lft-identity_binary64_1442`
10×	`add-cube-cbrt_binary64_1477` `associate-r_binary64_1382`
7×	`pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
5×	`associate-l_binary64_1383`
4×	`add-log-exp_binary64_1481` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `flip3-+_binary64_1445` `flip-+_binary64_1416` `frac-add_binary64_1450`
3×	`unswap-sqr_binary64_1410` `flip3--_binary64_1446` `flip--_binary64_1417` `*-commutative_binary64_1373` `unpow-prod-down_binary64_1521` `pow-unpow_binary64_1519`
2×	`sub-neg_binary64_1435` `cancel-sign-sub-inv_binary64_1408`
1×	`pow-pow_binary64_1514` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `unpow2_binary64_1507` `sqr-pow_binary64_1414` `distribute-lft-out_binary64_1393`

Counts

4 → 93

Calls

4 calls:

13.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
9.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

Compiler

Compiled 3937 to 2196 computations (44.2% saved)

series600.0ms (9.5%)

Error

0.0b

Counts

4 → 47

Calls

4 calls:

199.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
178.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
112.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
44.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3514 to 2532 computations (27.9% saved)

simplify70.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

140 → 140

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5049	2504

prune219.0ms (3.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	138	2	140
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	138	3	141

Error

0.0b

Counts

141 → 3

Compiler

Compiled 5040 to 2767 computations (45.1% saved)

localize22.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.7b	(.f64 a (.f64 a (*.f64 b b)))
0.8b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
0.8b	(.f64 a (.f64 b b))

rewrite203.0ms (3.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

4 → 89

Calls

4 calls:

8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
8.0ms	(.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 4067 to 2322 computations (42.9% saved)

series371.0ms (5.9%)

Error

0.0b

Counts

4 → 27

Calls

4 calls:

107.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
86.0ms	(.f64 a (.f64 a (*.f64 b b)))
72.0ms	(.f64 a (.f64 b b))
60.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 2899 to 2100 computations (27.6% saved)

simplify68.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5115	1249

prune213.0ms (3.4%)

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

0.0b

Counts

119 → 3

Compiler

Compiled 4855 to 2840 computations (41.5% saved)

localize18.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.3b	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
0.8b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
25.4b	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))

rewrite175.0ms (2.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`pow1_binary64_1503` `add-exp-log_binary64_1480`
14×	`add-cbrt-cube_binary64_1478`
12×	`add-sqr-sqrt_binary64_1464` `*-un-lft-identity_binary64_1442`
10×	`add-cube-cbrt_binary64_1477`
7×	`cbrt-prod_binary64_1473` `associate-r_binary64_1382`
6×	`unpow-prod-down_binary64_1521` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
4×	`add-log-exp_binary64_1481` `associate-*r/_binary64_1384`
3×	`distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `pow-unpow_binary64_1519`
2×	`sqr-pow_binary64_1414` `unswap-sqr_binary64_1410` `sub-neg_binary64_1435` `cancel-sign-sub-inv_binary64_1408` `associate-l_binary64_1383` `*-commutative_binary64_1373`
1×	`pow1/3_binary64_1524` `flip3--_binary64_1446` `flip--_binary64_1417` `pow-pow_binary64_1514` `pow-to-exp_binary64_1511` `pow-exp_binary64_1510` `flip3-+_binary64_1445` `flip-+_binary64_1416` `distribute-lft-out_binary64_1393`

Counts

4 → 81

Calls

4 calls:

8.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
5.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
5.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))

Compiler

Compiled 3253 to 1779 computations (45.3% saved)

series450.0ms (7.1%)

Error

0.0b

Counts

4 → 39

Calls

4 calls:

198.0ms	(cbrt.f64 (pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6))
107.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
49.0ms	(pow.f64 (+.f64 (.f64 b b) (.f64 a a)) 6)
43.0ms	(.f64 (.f64 a a) (+.f64 1 a))

Compiler

Compiled 3172 to 2303 computations (27.4% saved)

simplify88.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (68.0ms)

Iter	Nodes	Cost
0	4949	1637
1	4949	1637

prune177.0ms (2.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	119	1	120
Fresh	0	0	0
Picked	1	0	1
Done	0	2	2
Total	120	3	123

Error

0.0b

Counts

123 → 3

Compiler

Compiled 4200 to 2322 computations (44.7% saved)

localize17.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
0.1b	(.f64 (.f64 a a) (+.f64 1 a))
0.8b	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
16.5b	(cbrt.f64 (pow.f64 b 12))

rewrite196.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

18×	`associate-*r/_binary64_1384`
16×	`pow1_binary64_1503` `add-exp-log_binary64_1480` `add-cbrt-cube_binary64_1478`
14×	`add-sqr-sqrt_binary64_1464`
12×	`*-un-lft-identity_binary64_1442`
10×	`add-cube-cbrt_binary64_1477` `associate-r_binary64_1382`
7×	`cbrt-prod_binary64_1473` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491` `cbrt-unprod_binary64_1475`
5×	`associate-l_binary64_1383`
4×	`add-log-exp_binary64_1481` `distribute-rgt-in_binary64_1392` `distribute-lft-in_binary64_1391` `flip3-+_binary64_1445` `flip-+_binary64_1416` `frac-add_binary64_1450`
3×	`unpow-prod-down_binary64_1521` `unswap-sqr_binary64_1410` `flip3--_binary64_1446` `flip--_binary64_1417` `*-commutative_binary64_1373`
2×	`sub-neg_binary64_1435` `cancel-sign-sub-inv_binary64_1408`
1×	`pow1/3_binary64_1524` `sqr-pow_binary64_1414` `distribute-lft-out_binary64_1393`

Counts

4 → 90

Calls

4 calls:

13.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
9.0ms	(.f64 (.f64 a a) (+.f64 1 a))
8.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
2.0ms	(cbrt.f64 (pow.f64 b 12))

Compiler

Compiled 3347 to 2249 computations (32.8% saved)

series417.0ms (6.6%)

Error

0.0b

Counts

4 → 32

Calls

4 calls:

180.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (+.f64 1 a)) (.f64 (.f64 b b) (-.f64 1 (.f64 3 a)))))
113.0ms	(.f64 (.f64 b b) (-.f64 1 (*.f64 3 a)))
48.0ms	(.f64 (.f64 a a) (+.f64 1 a))
31.0ms	(cbrt.f64 (pow.f64 b 12))

Compiler

Compiled 1957 to 1604 computations (18% saved)

simplify70.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5619	2102

prune189.0ms (3%)

Pruning

3 alts after pruning (0 fresh and 3 done)

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

Error

0.0b

Counts

125 → 3

Compiler

Compiled 3740 to 2505 computations (33% saved)

regimes431.0ms (6.8%)

Accuracy

Total 0.0b remaining (62.2%)

Threshold costs 0.0b (62.2%)

Compiler

Compiled 6332 to 4568 computations (27.9% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	81	58
1	81	58

end0.0ms (0%)

sample1.7s (26.8%)

Algorithm

1×

intervals

Results

544.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 1191 to 867 computations (27.2% saved)

Details

analyze305.0ms (4.8%)

sample29.0ms (0.5%)

simplify61.0ms (1%)

prune3.0ms (0.1%)

localize17.0ms (0.3%)

rewrite204.0ms (3.2%)

series600.0ms (9.5%)

simplify70.0ms (1.1%)

prune219.0ms (3.5%)

localize22.0ms (0.4%)

rewrite203.0ms (3.2%)

series371.0ms (5.9%)

simplify68.0ms (1.1%)

prune213.0ms (3.4%)

localize18.0ms (0.3%)

rewrite175.0ms (2.8%)

series450.0ms (7.1%)

simplify88.0ms (1.4%)

prune177.0ms (2.8%)

localize17.0ms (0.3%)

rewrite196.0ms (3.1%)

series417.0ms (6.6%)

simplify70.0ms (1.1%)

prune189.0ms (3%)

regimes431.0ms (6.8%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.7s (26.8%)

Profiling