Details

analyze44.0ms (1.1%)

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
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)

sample33.0ms (0.8%)

Algorithm

1×

intervals

Results

11.0ms	42×	body	2048	valid
8.0ms	54×	body	1024	valid
3.0ms	32×	body	512	valid
2.0ms	94×	body	128	valid
2.0ms	34×	body	256	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify151.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4875	9
1	4875	9

prune5.0ms (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

Merged error: 32.2b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (*.f64 a x))
6.6b	(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite7.0ms (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:

4.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
1.0ms	(exp.f64 (*.f64 a x))

series74.0ms (1.9%)

Counts

2 → 20

Calls

2 calls:

47.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
27.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 364 to 332 computations (8.8% saved)

simplify78.0ms (2%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4947	518
1	4947	518

prune37.0ms (0.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	45	3	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	45	4	49

Merged error: 0.1b

Counts

49 → 4

Compiler

Compiled 496 to 244 computations (50.8% saved)

localize12.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))))
5.6b	(.f64 x (.f64 1/6 (pow.f64 a 3)))
7.5b	(.f64 x (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (*.f64 1/6 (pow.f64 a 3)))))
10.5b	(+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3))))

rewrite37.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

18×	`add-exp-log_binary64_1480`
13×	`add-cbrt-cube_binary64_1478` `add-sqr-sqrt_binary64_1464`
10×	`pow1_binary64_1503`
9×	`associate-l_binary64_1383` `prod-exp_binary64_1491` `add-cube-cbrt_binary64_1477` `*-un-lft-identity_binary64_1442`
7×	`associate-r_binary64_1382`
6×	`add-log-exp_binary64_1481`
5×	`cbrt-unprod_binary64_1475`
4×	`associate-*r/_binary64_1384`
3×	`pow-prod-down_binary64_1513` `*-commutative_binary64_1373` `flip3-+_binary64_1445` `flip-+_binary64_1416`
2×	`distribute-lft-in_binary64_1391` `distribute-rgt-in_binary64_1392` `unswap-sqr_binary64_1410`
1×	`sum-log_binary64_1533` `pow-exp_binary64_1510` `+-commutative_binary64_1372` `pow-to-exp_binary64_1511`

Counts

4 → 74

Calls

4 calls:

10.0ms	(+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3))))
9.0ms	(.f64 x (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (*.f64 1/6 (pow.f64 a 3)))))
6.0ms	(.f64 x (.f64 1/6 (pow.f64 a 3)))
5.0ms	(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))))

series548.0ms (13.9%)

Counts

4 → 42

Calls

4 calls:

209.0ms	(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))))
139.0ms	(+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3))))
119.0ms	(.f64 x (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (*.f64 1/6 (pow.f64 a 3)))))
80.0ms	(.f64 x (.f64 1/6 (pow.f64 a 3)))

Compiler

Compiled 1154 to 934 computations (19.1% saved)

simplify49.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

116 → 116

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5404	2258

prune115.0ms (2.9%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	115	1	116
Fresh	0	2	2
Picked	1	0	1
Done	0	1	1
Total	116	4	120

Merged error: 0.0b

Counts

120 → 4

Compiler

Compiled 2607 to 1514 computations (41.9% saved)

localize11.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 x 1/6)
0.7b	(.f64 x (+.f64 a (.f64 x (.f64 (.f64 a a) (+.f64 1/2 (.f64 (.f64 x 1/6) a))))))
0.7b	(.f64 (.f64 a a) (+.f64 1/2 (.f64 (.f64 x 1/6) a)))
7.5b	(.f64 x (.f64 (.f64 a a) (+.f64 1/2 (.f64 (*.f64 x 1/6) a))))

rewrite37.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

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

Counts

4 → 90

Calls

4 calls:

10.0ms	(.f64 x (.f64 (.f64 a a) (+.f64 1/2 (.f64 (*.f64 x 1/6) a))))
10.0ms	(.f64 (.f64 a a) (+.f64 1/2 (.f64 (.f64 x 1/6) a)))
6.0ms	(.f64 x (+.f64 a (.f64 x (.f64 (.f64 a a) (+.f64 1/2 (.f64 (.f64 x 1/6) a))))))
4.0ms	(*.f64 x 1/6)

series447.0ms (11.4%)

Counts

4 → 39

Calls

4 calls:

219.0ms	(.f64 x (+.f64 a (.f64 x (.f64 (.f64 a a) (+.f64 1/2 (.f64 (.f64 x 1/6) a))))))
111.0ms	(.f64 (.f64 a a) (+.f64 1/2 (.f64 (.f64 x 1/6) a)))
101.0ms	(.f64 x (.f64 (.f64 a a) (+.f64 1/2 (.f64 (*.f64 x 1/6) a))))
15.0ms	(*.f64 x 1/6)

Compiler

Compiled 1028 to 838 computations (18.5% saved)

simplify55.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5990	2329

prune119.0ms (3%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	129	0	129
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	129	4	133

Merged error: 0.0b

Counts

133 → 4

Compiler

Compiled 2701 to 1536 computations (43.1% saved)

localize9.0ms (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)))
1.2b	(.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x)))))
9.6b	(.f64 a (.f64 x x))

rewrite27.0ms (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:

7.0ms	(.f64 1/2 (.f64 a (*.f64 x x)))
6.0ms	(.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x)))))
6.0ms	(.f64 a (.f64 x x))
4.0ms	(+.f64 x (.f64 1/2 (.f64 a (*.f64 x x))))

series311.0ms (7.9%)

Counts

4 → 33

Calls

4 calls:

107.0ms	(.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x)))))
81.0ms	(+.f64 x (.f64 1/2 (.f64 a (*.f64 x x))))
66.0ms	(.f64 1/2 (.f64 a (*.f64 x x)))
56.0ms	(.f64 a (.f64 x x))

Compiler

Compiled 609 to 515 computations (15.4% saved)

simplify66.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4959	1395
1	4959	1395

prune67.0ms (1.7%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	106	4	110

Merged error: 0.0b

Counts

110 → 4

Compiler

Compiled 1524 to 648 computations (57.5% saved)

regimes309.0ms (7.9%)

Compiler: Compiled 906 to 714 computations (21.2% saved)

bsearch1.0ms (0%)

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

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	22	22
1	22	22

end0.0ms (0%)

sample1.3s (32.5%)

Algorithm

1×

intervals

Results

407.0ms	1414×	body	2048	valid
264.0ms	1760×	body	1024	valid
97.0ms	1102×	body	512	valid
83.0ms	3098×	body	128	valid
37.0ms	626×	body	256	valid
4.0ms	148×	body	128	invalid

Compiler

Compiled 203 to 152 computations (25.1% saved)

Details

analyze44.0ms (1.1%)

sample33.0ms (0.8%)

simplify151.0ms (3.9%)

prune5.0ms (0.1%)

localize4.0ms (0.1%)

rewrite7.0ms (0.2%)

series74.0ms (1.9%)

simplify78.0ms (2%)

prune37.0ms (0.9%)

localize12.0ms (0.3%)

rewrite37.0ms (0.9%)

series548.0ms (13.9%)

simplify49.0ms (1.2%)

prune115.0ms (2.9%)

localize11.0ms (0.3%)

rewrite37.0ms (0.9%)

series447.0ms (11.4%)

simplify55.0ms (1.4%)

prune119.0ms (3%)

localize9.0ms (0.2%)

rewrite27.0ms (0.7%)

series311.0ms (7.9%)

simplify66.0ms (1.7%)

prune67.0ms (1.7%)

regimes309.0ms (7.9%)

bsearch1.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample1.3s (32.5%)

Profiling