Details

analyze381.0ms (5.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5024	18
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
50%	50%	0.1%	3
50%	50%	0.1%	4
62.4%	37.5%	0.1%	5
62.4%	31.2%	6.3%	6
68.7%	21.9%	9.5%	7
68.7%	17.2%	14.1%	8
71.8%	11.7%	16.5%	9
71.8%	9%	19.2%	10
73.4%	6%	20.6%	11
73.4%	4.6%	22%	12
74.1%	3.1%	22.8%	13
74.1%	2.3%	23.5%	14

Compiler

Compiled 7 to 7 computations (0% saved)

sample79.0ms (1.1%)

Algorithm

1×

intervals

Results

28.0ms	47×	body	2048	valid
13.0ms	50×	body	1024	valid
6.0ms	34×	body	512	valid
5.0ms	98×	body	128	valid
3.0ms	27×	body	256	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify115.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	4875	9
1	4875	9

prune9.0ms (0.1%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Kept	Total
New	1	1
Fresh	1	1
Picked	0	0
Done	0	0
Total	2	2

Error

30.2b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (*.f64 a x))
4.5b	(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite13.0ms (0.2%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`add-sqr-sqrt_binary64_1464`
6×	`add-log-exp_binary64_1481` `*-un-lft-identity_binary64_1442`
3×	`cancel-sign-sub-inv_binary64_1408` `add-cube-cbrt_binary64_1477`
2×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503` `difference-of-squares_binary64_1411`
1×	`sub-neg_binary64_1435` `rem-exp-log_binary64_1482` `flip3--_binary64_1446` `difference-of-sqr-1_binary64_1412` `exp-prod_binary64_1494` `flip--_binary64_1417` `diff-log_binary64_1534` `exp-to-pow_binary64_1504` `distribute-lft-out--_binary64_1394`

Counts

2 → 28

Calls

2 calls:

8.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
3.0ms	(exp.f64 (*.f64 a x))

series141.0ms (1.9%)

Counts

2 → 20

Calls

2 calls:

78.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
62.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 348 to 316 computations (9.2% saved)

simplify164.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	4961	510
1	4961	510

prune80.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	5	49

Error

0.2b

Counts

49 → 5

Compiler

Compiled 527 to 257 computations (51.2% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 1/2 (.f64 a (*.f64 x x))))
0.0b	(.f64 1/2 (.f64 a (*.f64 x x)))
1.0b	(.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x)))))
9.9b	(.f64 a (.f64 x x))

rewrite55.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
11×	`add-sqr-sqrt_binary64_1464`
10×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491`
9×	`associate-l_binary64_1383`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`add-log-exp_binary64_1481`
5×	`associate-r_binary64_1382`
3×	`*-commutative_binary64_1373`
2×	`associate-*r/_binary64_1384` `flip3-+_binary64_1445` `flip-+_binary64_1416` `unswap-sqr_binary64_1410`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392`

Counts

4 → 73

Calls

4 calls:

15.0ms	(.f64 1/2 (.f64 a (*.f64 x x)))
12.0ms	(.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x)))))
11.0ms	(.f64 a (.f64 x x))
7.0ms	(+.f64 x (.f64 1/2 (.f64 a (*.f64 x x))))

series671.0ms (8.9%)

Counts

4 → 36

Calls

4 calls:

269.0ms	(.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x)))))
162.0ms	(+.f64 x (.f64 1/2 (.f64 a (*.f64 x x))))
133.0ms	(.f64 1/2 (.f64 a (*.f64 x x)))
107.0ms	(.f64 a (.f64 x x))

Compiler

Compiled 636 to 536 computations (15.7% saved)

simplify86.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (52.0ms)

Iter	Nodes	Cost
0	5023	1426

prune145.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	106	3	109
Fresh	0	4	4
Picked	1	0	1
Done	0	0	0
Total	107	7	114

Error

0.1b

Counts

114 → 7

Compiler

Compiled 1659 to 729 computations (56.1% saved)

localize13.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 x (.f64 1/2 (.f64 (*.f64 a x) x)))
0.0b	(.f64 1/2 (.f64 (*.f64 a x) x))
0.2b	(.f64 (.f64 a x) x)
1.0b	(.f64 a (+.f64 x (.f64 1/2 (.f64 (.f64 a x) x))))

rewrite45.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
10×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `add-sqr-sqrt_binary64_1464` `prod-exp_binary64_1491`
8×	`add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
7×	`associate-r_binary64_1382` `associate-l_binary64_1383`
6×	`add-log-exp_binary64_1481`
3×	`*-commutative_binary64_1373`
2×	`associate-*r/_binary64_1384` `flip3-+_binary64_1445` `flip-+_binary64_1416`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372` `distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `unswap-sqr_binary64_1410`

Counts

4 → 72

Calls

4 calls:

11.0ms	(.f64 1/2 (.f64 (*.f64 a x) x))
10.0ms	(.f64 a (+.f64 x (.f64 1/2 (.f64 (.f64 a x) x))))
9.0ms	(.f64 (.f64 a x) x)
6.0ms	(+.f64 x (.f64 1/2 (.f64 (*.f64 a x) x)))

series678.0ms (9%)

Counts

4 → 36

Calls

4 calls:

248.0ms	(.f64 a (+.f64 x (.f64 1/2 (.f64 (.f64 a x) x))))
182.0ms	(+.f64 x (.f64 1/2 (.f64 (*.f64 a x) x)))
145.0ms	(.f64 1/2 (.f64 (*.f64 a x) x))
102.0ms	(.f64 (.f64 a x) x)

Compiler

Compiled 636 to 536 computations (15.7% saved)

simplify157.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (124.0ms)

Iter	Nodes	Cost
0	4993	1414
1	4993	1414

prune140.0ms (1.9%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	106	2	108
Fresh	1	5	6
Picked	1	0	1
Done	0	0	0
Total	108	7	115

Error

0.1b

Counts

115 → 7

Compiler

Compiled 1662 to 742 computations (55.4% saved)

localize16.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 1/2 (.f64 x (*.f64 a x)))
0.2b	(.f64 x (.f64 a x))
2.9b	(.f64 a (.f64 1/2 (.f64 x (.f64 a x))))
4.4b	(+.f64 (.f64 a x) (.f64 a (.f64 1/2 (.f64 x (*.f64 a x)))))

rewrite62.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

32×	`add-cbrt-cube_binary64_1478` `add-exp-log_binary64_1480` `pow1_binary64_1503`
19×	`cbrt-unprod_binary64_1475` `pow-prod-down_binary64_1513` `prod-exp_binary64_1491`
9×	`associate-l_binary64_1383`
7×	`add-sqr-sqrt_binary64_1464` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
6×	`add-log-exp_binary64_1481`
3×	`associate-r_binary64_1382` `*-commutative_binary64_1373`
1×	`sum-log_binary64_1533` `+-commutative_binary64_1372` `distribute-lft-out_binary64_1393` `flip3-+_binary64_1445` `flip-+_binary64_1416`

Counts

4 → 75

Calls

4 calls:

17.0ms	(.f64 a (.f64 1/2 (.f64 x (.f64 a x))))
13.0ms	(.f64 1/2 (.f64 x (*.f64 a x)))
10.0ms	(+.f64 (.f64 a x) (.f64 a (.f64 1/2 (.f64 x (*.f64 a x)))))
10.0ms	(.f64 x (.f64 a x))

series621.0ms (8.3%)

Counts

4 → 30

Calls

4 calls:

252.0ms	(+.f64 (.f64 a x) (.f64 a (.f64 1/2 (.f64 x (*.f64 a x)))))
148.0ms	(.f64 a (.f64 1/2 (.f64 x (.f64 a x))))
119.0ms	(.f64 1/2 (.f64 x (*.f64 a x)))
102.0ms	(.f64 x (.f64 a x))

Compiler

Compiled 666 to 546 computations (18% saved)

simplify127.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

105 → 105

Iterations

Useful iterations: 0 (94.0ms)

Iter	Nodes	Cost
0	4980	1312
1	4980	1312

prune131.0ms (1.7%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	105	0	105
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	105	7	112

Error

0.1b

Counts

112 → 7

Compiler

Compiled 1589 to 626 computations (60.6% saved)

regimes533.0ms (7.1%)

Accuracy

Total 0.6b remaining (88.3%)

Threshold costs 0.6b (88.3%)

Compiler

Compiled 1944 to 1372 computations (29.4% saved)

bsearch2.0ms (0%)

Compiler: Compiled 3 to 3 computations (0% saved)

simplify19.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	34	58
1	34	58

Compiler

Compiled 74 to 36 computations (51.4% saved)

end0.0ms (0%)

sample3.0s (40%)

Algorithm

1×

intervals

Results

792.0ms	1441×	body	2048	valid
459.0ms	1710×	body	1024	valid
180.0ms	1160×	body	512	valid
142.0ms	3050×	body	128	valid
61.0ms	639×	body	256	valid
7.0ms	150×	body	128	invalid

Compiler

Compiled 413 to 279 computations (32.4% saved)

Details

analyze381.0ms (5.1%)

sample79.0ms (1.1%)

simplify115.0ms (1.5%)

prune9.0ms (0.1%)

localize9.0ms (0.1%)

rewrite13.0ms (0.2%)

series141.0ms (1.9%)

simplify164.0ms (2.2%)

prune80.0ms (1.1%)

localize17.0ms (0.2%)

rewrite55.0ms (0.7%)

series671.0ms (8.9%)

simplify86.0ms (1.1%)

prune145.0ms (1.9%)

localize13.0ms (0.2%)

rewrite45.0ms (0.6%)

series678.0ms (9%)

simplify157.0ms (2.1%)

prune140.0ms (1.9%)

localize16.0ms (0.2%)

rewrite62.0ms (0.8%)

series621.0ms (8.3%)

simplify127.0ms (1.7%)

prune131.0ms (1.7%)

regimes533.0ms (7.1%)

bsearch2.0ms (0%)

simplify19.0ms (0.2%)

end0.0ms (0%)

sample3.0s (40%)

Profiling