Details

analyze129.0ms (3.4%)

Algorithm

1×

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)

sample28.0ms (0.7%)

Algorithm

1×

intervals

Results

20.0ms

256×

body

128

valid

Compiler

Compiled 59 to 41 computations (30.5% saved)

simplify185.0ms (4.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5072	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

Merged error: 0.2b

Counts

2 → 1

Compiler

Compiled 58 to 38 computations (34.5% saved)

localize18.0ms (0.5%)

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 3 a))))
0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.2b	(.f64 (.f64 b b) (+.f64 3 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

rewrite49.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`associate-*r/_binary64_1369`
17×	`add-sqr-sqrt_binary64_1446` `pow1_binary64_1483` `add-exp-log_binary64_1460`
16×	`add-cbrt-cube_binary64_1458`
15×	`*-un-lft-identity_binary64_1425`
13×	`associate-r_binary64_1367`
10×	`add-cube-cbrt_binary64_1457`
7×	`prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `pow-prod-down_binary64_1493`
5×	`associate-l_binary64_1368`
4×	`flip3-+_binary64_1428` `flip-+_binary64_1399` `frac-add_binary64_1433` `add-log-exp_binary64_1461`
3×	`distribute-lft-in_binary64_1376` `flip--_binary64_1400` `unswap-sqr_binary64_1393` `pow-unpow_binary64_1499` `unpow-prod-down_binary64_1501` `distribute-rgt-in_binary64_1377` `flip3--_binary64_1429` `*-commutative_binary64_1358`
2×	`sub-neg_binary64_1418` `difference-of-squares_binary64_1394`
1×	`pow-pow_binary64_1494` `distribute-lft-out--_binary64_1379` `pow-to-exp_binary64_1491` `unpow2_binary64_1487` `pow-exp_binary64_1490` `distribute-lft-out_binary64_1378` `sqr-pow_binary64_1397`

Counts

4 → 94

Calls

4 calls:

14.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
9.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series243.0ms (6.3%)

Counts

4 → 12

Calls

4 calls:

70.0ms	(.f64 4 (+.f64 (.f64 (.f64 a a) (-.f64 1 a)) (.f64 (*.f64 b b) (+.f64 3 a))))
70.0ms	(.f64 (.f64 a a) (-.f64 1 a))
52.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
50.0ms	(.f64 (.f64 b b) (+.f64 3 a))

simplify74.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4986	1872
1	4986	1872

prune164.0ms (4.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	103	3	106
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	104	3	107

Merged error: 0b

Counts

107 → 3

Compiler

Compiled 3861 to 2012 computations (47.9% saved)

localize20.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 (.f64 a a) (-.f64 1 a))
0.2b	(.f64 a (.f64 b b))
0.2b	(.f64 (.f64 b b) (+.f64 3 a))
0.7b	(.f64 a (.f64 a (*.f64 b b)))

rewrite46.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`add-cbrt-cube_binary64_1458` `pow1_binary64_1483` `add-exp-log_binary64_1460`
15×	`prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `pow-prod-down_binary64_1493`
14×	`add-sqr-sqrt_binary64_1446`
13×	`*-un-lft-identity_binary64_1425`
12×	`associate-r_binary64_1367`
8×	`add-cube-cbrt_binary64_1457` `associate-l_binary64_1368`
4×	`associate-r/_binary64_1369` `add-log-exp_binary64_1461` `-commutative_binary64_1358`
3×	`unswap-sqr_binary64_1393`
2×	`distribute-lft-in_binary64_1376` `sub-neg_binary64_1418` `distribute-rgt-in_binary64_1377` `difference-of-squares_binary64_1394`
1×	`flip--_binary64_1400` `distribute-lft-out--_binary64_1379` `flip3-+_binary64_1428` `distribute-lft-out_binary64_1378` `flip-+_binary64_1399` `flip3--_binary64_1429`

Counts

4 → 90

Calls

4 calls:

12.0ms	(.f64 (.f64 a a) (-.f64 1 a))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
8.0ms	(.f64 a (.f64 a (*.f64 b b)))
6.0ms	(.f64 a (.f64 b b))

series212.0ms (5.5%)

Counts

4 → 12

Calls

4 calls:

72.0ms	(.f64 (.f64 a a) (-.f64 1 a))
48.0ms	(.f64 (.f64 b b) (+.f64 3 a))
48.0ms	(.f64 a (.f64 a (*.f64 b b)))
44.0ms	(.f64 a (.f64 b b))

simplify76.0ms (2%)

Algorithm

1×	egg-herbie

Counts

102 → 102

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4925	1053
1	4925	1053

prune174.0ms (4.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	102	0	102
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	102	3	105

Merged error: 0b

Counts

105 → 3

Compiler

Compiled 4163 to 2360 computations (43.3% saved)

localize21.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.5b	(pow.f64 (cbrt.f64 (+.f64 (.f64 a a) (.f64 b b))) 2)
0.7b	(pow.f64 (cbrt.f64 (+.f64 (.f64 a a) (.f64 b b))) 4)
11.5b	(cbrt.f64 (+.f64 (.f64 a a) (.f64 b b)))
11.5b	(cbrt.f64 (+.f64 (.f64 a a) (.f64 b b)))

rewrite29.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`add-cube-cbrt_binary64_1457` `unpow-prod-down_binary64_1501` `cbrt-prod_binary64_1453` `add-sqr-sqrt_binary64_1446` `*-un-lft-identity_binary64_1425`
6×	`pow-unpow_binary64_1499` `pow1_binary64_1483` `add-exp-log_binary64_1460`
4×	`pow-pow_binary64_1494` `cbrt-div_binary64_1454` `add-cbrt-cube_binary64_1458` `pow1/3_binary64_1504` `add-log-exp_binary64_1461`
2×	`flip3-+_binary64_1428` `pow-to-exp_binary64_1491` `pow-exp_binary64_1490` `flip-+_binary64_1399` `sqr-pow_binary64_1397`
1×	`unpow2_binary64_1487`

Counts

4 → 69

Calls

4 calls:

6.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 a a) (.f64 b b))) 4)
6.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 a a) (.f64 b b))) 2)
4.0ms	(cbrt.f64 (+.f64 (.f64 a a) (.f64 b b)))
4.0ms	(cbrt.f64 (+.f64 (.f64 a a) (.f64 b b)))

series631.0ms (16.5%)

Counts

4 → 12

Calls

4 calls:

202.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 a a) (.f64 b b))) 4)
177.0ms	(pow.f64 (cbrt.f64 (+.f64 (.f64 a a) (.f64 b b))) 2)
128.0ms	(cbrt.f64 (+.f64 (.f64 a a) (.f64 b b)))
124.0ms	(cbrt.f64 (+.f64 (.f64 a a) (.f64 b b)))

simplify71.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

81 → 81

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	4943	1419
1	4943	1419

prune131.0ms (3.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	81	0	81
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	81	3	84

Merged error: 0b

Counts

84 → 3

Compiler

Compiled 3759 to 1646 computations (56.2% saved)

localize19.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.2b	(.f64 (.f64 b b) (+.f64 3 a))
0.3b	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
3.1b	(exp.f64 (log.f64 (-.f64 (*.f64 a a) (pow.f64 a 3))))
23.0b	(log.f64 (-.f64 (*.f64 a a) (pow.f64 a 3)))

rewrite43.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`log-prod_binary64_1508`
17×	`add-sqr-sqrt_binary64_1446`
12×	`pow1_binary64_1483` `*-un-lft-identity_binary64_1425`
11×	`add-exp-log_binary64_1460`
10×	`add-cube-cbrt_binary64_1457`
9×	`add-cbrt-cube_binary64_1458` `exp-sum_binary64_1468`
8×	`difference-of-squares_binary64_1394`
5×	`unpow-prod-down_binary64_1501`
4×	`associate-r_binary64_1367` `exp-prod_binary64_1474` `log-div_binary64_1509` `add-log-exp_binary64_1461`
3×	`pow-unpow_binary64_1499` `prod-exp_binary64_1471` `cbrt-unprod_binary64_1455` `sqr-pow_binary64_1397` `pow-prod-down_binary64_1493`
2×	`flip--_binary64_1400` `distribute-lft-out--_binary64_1379` `distribute-rgt-out--_binary64_1381` `associate-*r/_binary64_1369` `unpow3_binary64_1488` `exp-diff_binary64_1470` `cube-mult_binary64_1452` `log-pow_binary64_1511` `cube-prod_binary64_1450` `flip3--_binary64_1429`
1×	`distribute-lft-in_binary64_1376` `pow-pow_binary64_1494` `unswap-sqr_binary64_1393` `associate-l_binary64_1368` `flip3-+_binary64_1428` `pow-to-exp_binary64_1491` `unpow2_binary64_1487` `pow-exp_binary64_1490` `distribute-lft-out_binary64_1378` `distribute-rgt-in_binary64_1377` `flip-+_binary64_1399` `rem-exp-log_binary64_1462` `rem-log-exp_binary64_1463` `*-commutative_binary64_1358`

Counts

4 → 85

Calls

4 calls:

11.0ms	(exp.f64 (log.f64 (-.f64 (*.f64 a a) (pow.f64 a 3))))
9.0ms	(.f64 (.f64 b b) (+.f64 3 a))
7.0ms	(log.f64 (-.f64 (*.f64 a a) (pow.f64 a 3)))
5.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)

series390.0ms (10.2%)

Counts

4 → 12

Calls

4 calls:

260.0ms	(exp.f64 (log.f64 (-.f64 (*.f64 a a) (pow.f64 a 3))))
56.0ms	(pow.f64 (+.f64 (.f64 a a) (.f64 b b)) 2)
44.0ms	(.f64 (.f64 b b) (+.f64 3 a))
29.0ms	(log.f64 (-.f64 (*.f64 a a) (pow.f64 a 3)))

simplify73.0ms (1.9%)

Algorithm

1×	egg-herbie

Counts

97 → 97

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5102	1455

prune146.0ms (3.8%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	97	0	97
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	97	3	100

Merged error: 0b

Counts

100 → 3

Compiler

Compiled 3459 to 1853 computations (46.4% saved)

regimes45.0ms (1.2%)

Compiler: Compiled 415 to 274 computations (34% saved)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	55	55
1	55	55

end0.0ms (0%)

sample809.0ms (21.1%)

Algorithm

1×

intervals

Results

514.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 176 to 118 computations (33% saved)

Details

analyze129.0ms (3.4%)

sample28.0ms (0.7%)

simplify185.0ms (4.8%)

prune3.0ms (0.1%)

localize18.0ms (0.5%)

rewrite49.0ms (1.3%)

series243.0ms (6.3%)

simplify74.0ms (1.9%)

prune164.0ms (4.3%)

localize20.0ms (0.5%)

rewrite46.0ms (1.2%)

series212.0ms (5.5%)

simplify76.0ms (2%)

prune174.0ms (4.5%)

localize21.0ms (0.5%)

rewrite29.0ms (0.8%)

series631.0ms (16.5%)

simplify71.0ms (1.9%)

prune131.0ms (3.4%)

localize19.0ms (0.5%)

rewrite43.0ms (1.1%)

series390.0ms (10.2%)

simplify73.0ms (1.9%)

prune146.0ms (3.8%)

regimes45.0ms (1.2%)

bsearch0.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample809.0ms (21.1%)

Profiling