Details

analyze242.0ms (4.3%)

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

Symmetry

(sort a x)

Compiler

Compiled 7 to 7 computations (0% saved)

sample48.0ms (0.8%)

Algorithm

1×

intervals

Results

14.0ms	41×	body	2048	valid
9.0ms	51×	body	1024	valid
3.0ms	112×	body	128	valid
3.0ms	33×	body	512	valid
1.0ms	19×	body	256	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify94.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (84.0ms)

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

26.8b

Counts

2 → 1

Compiler

Compiled 12 to 12 computations (0% saved)

localize9.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(exp.f64 (*.f64 a x))
4.0b	(-.f64 (exp.f64 (*.f64 a x)) 1)

rewrite53.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Error

26.6b

Rules

7×	`add-sqr-sqrt_binary64_1805`
6×	`add-log-exp_binary64_1822` `*-un-lft-identity_binary64_1783`
3×	`add-cube-cbrt_binary64_1818` `cancel-sign-sub-inv_binary64_1749`
2×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819` `difference-of-squares_binary64_1752`
1×	`diff-log_binary64_1875` `flip3--_binary64_1787` `sub-neg_binary64_1776` `flip--_binary64_1758` `difference-of-sqr-1_binary64_1753` `distribute-lft-out--_binary64_1735` `exp-to-pow_binary64_1845` `exp-prod_binary64_1835` `rem-exp-log_binary64_1823`

Counts

2 → 28

Calls

2 calls:

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

Compiler

Compiled 346 to 156 computations (54.9% saved)

series126.0ms (2.2%)

Error

0.3b

Counts

2 → 24

Calls

2 calls:

51.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
50.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 648 to 510 computations (21.3% saved)

simplify73.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (58.0ms)

Iter	Nodes	Cost
0	4917	652
1	4917	652

prune50.0ms (0.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	47	6	53

Error

0.2b

Counts

53 → 6

Compiler

Compiled 636 to 312 computations (50.9% saved)

localize2.0ms (0%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.2b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.2b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify11.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune9.0ms (0.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	1	1
Total	6	6

Error

0.2b

Counts

6 → 6

Compiler

Compiled 79 to 54 computations (31.6% saved)

localize23.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.3b	(pow.f64 (*.f64 a x) 3)
1.7b	(.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x)))))
9.3b	(.f64 a (.f64 x x))
12.3b	(+.f64 (.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x))))) (.f64 1/6 (pow.f64 (.f64 a x) 3)))

rewrite147.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

14×	`pow1_binary64_1844` `add-exp-log_binary64_1821` `add-cbrt-cube_binary64_1819`
11×	`add-sqr-sqrt_binary64_1805`
8×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
6×	`add-log-exp_binary64_1822` `associate-l_binary64_1724`
5×	`pow-prod-down_binary64_1854` `prod-exp_binary64_1832` `cbrt-unprod_binary64_1816`
4×	`associate-r_binary64_1723`
3×	`pow-unpow_binary64_1860`
2×	`flip3-+_binary64_1786` `flip-+_binary64_1757` `distribute-rgt-in_binary64_1733` `associate-+l+_binary64_1716` `distribute-lft-in_binary64_1732` `unswap-sqr_binary64_1751` `-commutative_binary64_1714` `associate-r/_binary64_1725` `pow-pow_binary64_1855` `pow-exp_binary64_1851` `rem-cube-cbrt_binary64_1806`
1×	`sum-log_binary64_1874` `+-commutative_binary64_1713` `unpow-prod-down_binary64_1862` `pow-to-exp_binary64_1852` `unpow3_binary64_1849` `cube-mult_binary64_1813` `cube-prod_binary64_1811` `sqr-pow_binary64_1755`

Counts

4 → 76

Calls

4 calls:

15.0ms	(+.f64 (.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x))))) (.f64 1/6 (pow.f64 (.f64 a x) 3)))
13.0ms	(.f64 a (.f64 x x))
6.0ms	(.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x)))))
4.0ms	(pow.f64 (*.f64 a x) 3)

Compiler

Compiled 2101 to 1026 computations (51.2% saved)

series755.0ms (13.3%)

Error

0.2b

Counts

4 → 42

Calls

4 calls:

346.0ms	(+.f64 (.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x))))) (.f64 1/6 (pow.f64 (.f64 a x) 3)))
162.0ms	(.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x)))))
106.0ms	(pow.f64 (*.f64 a x) 3)
85.0ms	(.f64 a (.f64 x x))

Compiler

Compiled 1980 to 1485 computations (25% saved)

simplify70.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

118 → 118

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5104	1721

prune148.0ms (2.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	115	3	118
Fresh	0	3	3
Picked	1	0	1
Done	1	1	2
Total	117	7	124

Error

0.1b

Counts

124 → 7

Compiler

Compiled 2642 to 1356 computations (48.7% saved)

localize15.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 a x) (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))
0.1b	(.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x))))
0.2b	(pow.f64 (*.f64 a x) 2)
0.3b	(.f64 1/6 (.f64 a x))

rewrite126.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Rules

20×	`add-exp-log_binary64_1821`
12×	`pow1_binary64_1844` `add-sqr-sqrt_binary64_1805`
11×	`add-cbrt-cube_binary64_1819`
9×	`prod-exp_binary64_1832` `associate-l_binary64_1724`
8×	`add-cube-cbrt_binary64_1818` `*-un-lft-identity_binary64_1783`
6×	`add-log-exp_binary64_1822`
4×	`pow-prod-down_binary64_1854` `cbrt-unprod_binary64_1816` `associate-r_binary64_1723` `pow-exp_binary64_1851`
3×	`pow-unpow_binary64_1860` `unpow2_binary64_1848` `sqr-pow_binary64_1755` `unswap-sqr_binary64_1751`
2×	`-commutative_binary64_1714` `unpow-prod-down_binary64_1862` `pow-pow_binary64_1855` `pow-to-exp_binary64_1852` `distribute-rgt-in_binary64_1733` `distribute-lft-in_binary64_1732` `flip3-+_binary64_1786` `associate-r/_binary64_1725` `flip-+_binary64_1757` `associate-+r+_binary64_1715`
1×	`sum-log_binary64_1874` `+-commutative_binary64_1713`

Counts

4 → 78

Calls

4 calls:

7.0ms	(.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x))))
5.0ms	(.f64 1/6 (.f64 a x))
5.0ms	(+.f64 (.f64 a x) (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))
4.0ms	(pow.f64 (*.f64 a x) 2)

Compiler

Compiled 2017 to 1065 computations (47.2% saved)

series851.0ms (15%)

Error

0.1b

Counts

4 → 42

Calls

4 calls:

399.0ms	(+.f64 (.f64 a x) (.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (*.f64 a x)))))
233.0ms	(.f64 (pow.f64 (.f64 a x) 2) (+.f64 1/2 (.f64 1/6 (.f64 a x))))
93.0ms	(pow.f64 (*.f64 a x) 2)
69.0ms	(.f64 1/6 (.f64 a x))

Compiler

Compiled 1920 to 1415 computations (26.3% saved)

simplify46.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

120 → 120

Iterations

Useful iterations: 0 (24.0ms)

Iter	Nodes	Cost
0	5251	1923

prune143.0ms (2.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	120	0	120
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	120	7	127

Error

0.1b

Counts

127 → 7

Compiler

Compiled 2379 to 1209 computations (49.2% saved)

regimes517.0ms (9.1%)

Accuracy

Total 0.2b remaining (83.3%)

Threshold costs 0.2b (83.3%)

Compiler

Compiled 3410 to 2320 computations (32% saved)

bsearch3.0ms (0%)

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

simplify16.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	38	62
1	38	62

Remove

(sort a x)

Compiler

Compiled 82 to 42 computations (48.8% saved)

end0.0ms (0%)

sample2.1s (36.8%)

Algorithm

1×

intervals

Results

523.0ms	1460×	body	2048	valid
305.0ms	1724×	body	1024	valid
106.0ms	1083×	body	512	valid
96.0ms	3124×	body	128	valid
41.0ms	609×	body	256	valid
4.0ms	145×	body	128	invalid

Compiler

Compiled 700 to 465 computations (33.6% saved)

Details

analyze242.0ms (4.3%)

sample48.0ms (0.8%)

simplify94.0ms (1.7%)

prune2.0ms (0%)

localize9.0ms (0.2%)

rewrite53.0ms (0.9%)

series126.0ms (2.2%)

simplify73.0ms (1.3%)

prune50.0ms (0.9%)

localize2.0ms (0%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify11.0ms (0.2%)

prune9.0ms (0.2%)

localize23.0ms (0.4%)

rewrite147.0ms (2.6%)

series755.0ms (13.3%)

simplify70.0ms (1.2%)

prune148.0ms (2.6%)

localize15.0ms (0.3%)

rewrite126.0ms (2.2%)

series851.0ms (15%)

simplify46.0ms (0.8%)

prune143.0ms (2.5%)

regimes517.0ms (9.1%)

bsearch3.0ms (0%)

simplify16.0ms (0.3%)

end0.0ms (0%)

sample2.1s (36.8%)

Profiling