Details

analyze46.0ms (0.8%)

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)

sample43.0ms (0.8%)

Algorithm

1×

intervals

Results

15.0ms	46×	body	2048	valid
10.0ms	56×	body	1024	valid
3.0ms	108×	body	128	valid
3.0ms	28×	body	512	valid
1.0ms	18×	body	256	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify200.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4875	9
1	4875	9

prune2.0ms (0%)

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

27.6b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize4.0ms (0.1%)

Local error

Found 1 expressions with local error:

4.2b	(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite29.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Error

27.5b

Rules

6×	`add-sqr-sqrt_binary64_1805`
5×	`*-un-lft-identity_binary64_1783`
3×	`add-log-exp_binary64_1822` `cancel-sign-sub-inv_binary64_1749`
2×	`add-cube-cbrt_binary64_1818` `difference-of-squares_binary64_1752`
1×	`diff-log_binary64_1875` `pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `difference-of-sqr-1_binary64_1753` `distribute-lft-out--_binary64_1735`

Counts

1 → 18

Calls

1 calls:

4.0ms

(-.f64 (exp.f64 (*.f64 a x)) 1)

Compiler

Compiled 247 to 121 computations (51% saved)

series77.0ms (1.4%)

Error

0.4b

Counts

1 → 10

Calls

1 calls:

68.0ms

(-.f64 (exp.f64 (*.f64 a x)) 1)

Compiler

Compiled 294 to 228 computations (22.4% saved)

simplify92.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

28 → 28

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	4929	366
1	4929	366

prune24.0ms (0.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	25	3	28
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	26	3	29

Error

0.3b

Counts

29 → 3

Compiler

Compiled 335 to 164 computations (51% saved)

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.3b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune3.0ms (0.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	2	2
Picked	1	1
Done	0	0
Total	3	3

Error

0.3b

Counts

3 → 3

Compiler

Compiled 41 to 28 computations (31.7% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))))
4.3b	(.f64 x (.f64 1/6 (pow.f64 a 3)))
7.9b	(.f64 x (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (*.f64 1/6 (pow.f64 a 3)))))
11.0b	(+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3))))

rewrite150.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

18×	`add-exp-log_binary64_1821`
13×	`add-cbrt-cube_binary64_1819` `add-sqr-sqrt_binary64_1805`
10×	`pow1_binary64_1844`
9×	`add-cube-cbrt_binary64_1818` `-un-lft-identity_binary64_1783` `prod-exp_binary64_1832` `associate-l*_binary64_1724`
7×	`associate-r_binary64_1723`
6×	`add-log-exp_binary64_1822`
5×	`cbrt-unprod_binary64_1816`
4×	`associate-*r/_binary64_1725`
3×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `pow-prod-down_binary64_1854` `*-commutative_binary64_1714`
2×	`unswap-sqr_binary64_1751` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
1×	`sum-log_binary64_1874` `+-commutative_binary64_1713` `pow-to-exp_binary64_1852` `pow-exp_binary64_1851`

Counts

4 → 74

Calls

4 calls:

12.0ms	(.f64 x (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (*.f64 1/6 (pow.f64 a 3)))))
7.0ms	(+.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)))))))

Compiler

Compiled 2333 to 1422 computations (39% saved)

series921.0ms (16.9%)

Error

0.3b

Counts

4 → 48

Calls

4 calls:

345.0ms	(.f64 x (+.f64 a (.f64 x (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3)))))))
233.0ms	(.f64 x (+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (*.f64 1/6 (pow.f64 a 3)))))
187.0ms	(+.f64 (.f64 1/2 (.f64 a a)) (.f64 x (.f64 1/6 (pow.f64 a 3))))
109.0ms	(.f64 x (.f64 1/6 (pow.f64 a 3)))

Compiler

Compiled 2060 to 1566 computations (24% saved)

simplify54.0ms (1%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (29.0ms)

Iter	Nodes	Cost
0	5442	2357

prune143.0ms (2.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	119	3	122
Fresh	0	1	1
Picked	1	0	1
Done	0	1	1
Total	120	5	125

Error

0.3b

Counts

125 → 5

Compiler

Compiled 2776 to 1612 computations (41.9% saved)

localize11.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.3b	(*.f64 1/6 x)
0.5b	(.f64 (.f64 a a) (+.f64 1/2 (.f64 (.f64 1/6 x) a)))
0.5b	(.f64 x (+.f64 a (.f64 x (.f64 (.f64 a a) (+.f64 1/2 (.f64 (.f64 1/6 x) a))))))
7.9b	(.f64 x (.f64 (.f64 a a) (+.f64 1/2 (.f64 (*.f64 1/6 x) a))))

rewrite167.0ms (3.1%)

Algorithm

1×	rewrite-expression-head

Error

0.3b

Rules

22×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
15×	`add-sqr-sqrt_binary64_1805`
11×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
10×	`add-cube-cbrt_binary64_1818` `-un-lft-identity_binary64_1783` `associate-l_binary64_1724` `associate-r*_binary64_1723`
8×	`associate-*r/_binary64_1725`
6×	`distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732`
4×	`add-log-exp_binary64_1822` `*-commutative_binary64_1714`
3×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `unswap-sqr_binary64_1751`

Counts

4 → 90

Calls

4 calls:

13.0ms	(.f64 x (.f64 (.f64 a a) (+.f64 1/2 (.f64 (*.f64 1/6 x) a))))
8.0ms	(.f64 (.f64 a a) (+.f64 1/2 (.f64 (.f64 1/6 x) a)))
6.0ms	(.f64 x (+.f64 a (.f64 x (.f64 (.f64 a a) (+.f64 1/2 (.f64 (.f64 1/6 x) a))))))
4.0ms	(*.f64 1/6 x)

Compiler

Compiled 2434 to 1379 computations (43.3% saved)

series773.0ms (14.2%)

Error

0.3b

Counts

4 → 45

Calls

4 calls:

354.0ms	(.f64 x (+.f64 a (.f64 x (.f64 (.f64 a a) (+.f64 1/2 (.f64 (.f64 1/6 x) a))))))
211.0ms	(.f64 x (.f64 (.f64 a a) (+.f64 1/2 (.f64 (*.f64 1/6 x) a))))
140.0ms	(.f64 (.f64 a a) (+.f64 1/2 (.f64 (.f64 1/6 x) a)))
23.0ms	(*.f64 1/6 x)

Compiler

Compiled 1871 to 1431 computations (23.5% saved)

simplify58.0ms (1.1%)

Algorithm

1×	egg-herbie

Counts

135 → 135

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	6189	2416

prune148.0ms (2.7%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	132	3	135
Fresh	2	1	3
Picked	1	0	1
Done	1	0	1
Total	136	4	140

Error

0.0b

Counts

140 → 4

Compiler

Compiled 2760 to 1629 computations (41% saved)

regimes482.0ms (8.8%)

Accuracy

Total 0.3b remaining (83.6%)

Threshold costs 0.3b (83.6%)

Compiler

Compiled 3278 to 2324 computations (29.1% saved)

bsearch1.0ms (0%)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	50	76
1	50	76

end0.0ms (0%)

sample2.0s (36.7%)

Algorithm

1×

intervals

Results

516.0ms	1424×	body	2048	valid
305.0ms	1698×	body	1024	valid
111.0ms	1140×	body	512	valid
86.0ms	3179×	body	128	valid
34.0ms	559×	body	256	valid
5.0ms	162×	body	128	invalid

Compiler

Compiled 657 to 451 computations (31.4% saved)

Details

analyze46.0ms (0.8%)

sample43.0ms (0.8%)

simplify200.0ms (3.7%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite29.0ms (0.5%)

series77.0ms (1.4%)

simplify92.0ms (1.7%)

prune24.0ms (0.4%)

localize2.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify9.0ms (0.2%)

prune3.0ms (0.1%)

localize12.0ms (0.2%)

rewrite150.0ms (2.7%)

series921.0ms (16.9%)

simplify54.0ms (1%)

prune143.0ms (2.6%)

localize11.0ms (0.2%)

rewrite167.0ms (3.1%)

series773.0ms (14.2%)

simplify58.0ms (1.1%)

prune148.0ms (2.7%)

regimes482.0ms (8.8%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end0.0ms (0%)

sample2.0s (36.7%)

Profiling