Details

analyze220.0ms (5.9%)

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)

sample47.0ms (1.3%)

Algorithm

1×

intervals

Results

18.0ms	59×	body	2048	valid
8.0ms	62×	body	1024	valid
2.0ms	90×	body	128	valid
2.0ms	25×	body	512	valid
1.0ms	20×	body	256	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 13 to 15 computations (-15.4% saved)

simplify69.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4875	9
1	4875	9

prune2.0ms (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

29.3b

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

rewrite31.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

29.2b

Rules

7×	`add-sqr-sqrt_binary64_782`
6×	`add-log-exp_binary64_799` `*-un-lft-identity_binary64_760`
3×	`add-cube-cbrt_binary64_795` `cancel-sign-sub-inv_binary64_726`
2×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796` `difference-of-squares_binary64_729`
1×	`diff-log_binary64_852` `flip3--_binary64_764` `sub-neg_binary64_753` `flip--_binary64_735` `difference-of-sqr-1_binary64_730` `distribute-lft-out--_binary64_712` `exp-to-pow_binary64_822` `exp-prod_binary64_812` `rem-exp-log_binary64_800`

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)

series99.0ms (2.6%)

Error

0.2b

Counts

2 → 24

Calls

2 calls:

50.0ms	(-.f64 (exp.f64 (*.f64 a x)) 1)
31.0ms	(exp.f64 (*.f64 a x))

Compiler

Compiled 648 to 510 computations (21.3% saved)

simplify66.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	4917	652
1	4917	652

prune39.0ms (1.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	47	5	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	48	5	53

Error

0.1b

Counts

53 → 5

Compiler

Compiled 600 to 294 computations (51% saved)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Error

0.1b

Counts

0 → 0

Compiler

Compiled 0 to 0 computations (0% saved)

series0.0ms (0%)

Error: 0.1b
Counts: 0 → 0
Compiler: Compiled 0 to 0 computations (0% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	0	0

prune4.0ms (0.1%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Kept	Total
New	0	0
Fresh	4	4
Picked	1	1
Done	0	0
Total	5	5

Error

0.1b

Counts

5 → 5

Compiler

Compiled 43 to 36 computations (16.3% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 1/2 (.f64 a (*.f64 x x)))
0.0b	(+.f64 x (.f64 1/2 (.f64 a (*.f64 x x))))
1.0b	(.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x)))))
6.1b	(.f64 a (.f64 x x))

rewrite87.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
11×	`add-sqr-sqrt_binary64_782`
10×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793`
9×	`associate-l_binary64_701`
8×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
6×	`add-log-exp_binary64_799`
5×	`associate-r_binary64_700`
3×	`*-commutative_binary64_691`
2×	`unswap-sqr_binary64_728` `flip3-+_binary64_763` `associate-*r/_binary64_702` `flip-+_binary64_734`
1×	`distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

4 → 73

Calls

4 calls:

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

Compiler

Compiled 1386 to 582 computations (58% saved)

series365.0ms (9.8%)

Error

0.1b

Counts

4 → 36

Calls

4 calls:

128.0ms	(.f64 a (+.f64 x (.f64 1/2 (.f64 a (.f64 x x)))))
96.0ms	(+.f64 x (.f64 1/2 (.f64 a (*.f64 x x))))
63.0ms	(.f64 1/2 (.f64 a (*.f64 x x)))
57.0ms	(.f64 a (.f64 x x))

Compiler

Compiled 996 to 765 computations (23.2% saved)

simplify48.0ms (1.3%)

Algorithm

1×	egg-herbie

Counts

109 → 109

Iterations

Useful iterations: 0 (30.0ms)

Iter	Nodes	Cost
0	5023	1426

prune76.0ms (2%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	107	2	109
Fresh	0	3	3
Picked	1	0	1
Done	1	0	1
Total	109	5	114

Error

0.0b

Counts

114 → 5

Compiler

Compiled 1614 to 700 computations (56.6% saved)

localize7.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 1/2 (.f64 (*.f64 a x) x))
0.0b	(+.f64 x (.f64 1/2 (.f64 (*.f64 a x) x)))
0.1b	(.f64 (.f64 a x) x)
1.0b	(.f64 a (+.f64 x (.f64 1/2 (.f64 (.f64 a x) x))))

rewrite78.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

20×	`pow1_binary64_821` `add-exp-log_binary64_798` `add-cbrt-cube_binary64_796`
10×	`pow-prod-down_binary64_831` `prod-exp_binary64_809` `cbrt-unprod_binary64_793` `add-sqr-sqrt_binary64_782`
8×	`add-cube-cbrt_binary64_795` `*-un-lft-identity_binary64_760`
7×	`associate-l_binary64_701` `associate-r_binary64_700`
6×	`add-log-exp_binary64_799`
3×	`*-commutative_binary64_691`
2×	`flip3-+_binary64_763` `associate-*r/_binary64_702` `flip-+_binary64_734`
1×	`unswap-sqr_binary64_728` `distribute-rgt-in_binary64_710` `distribute-lft-in_binary64_709` `sum-log_binary64_851` `+-commutative_binary64_690`

Counts

4 → 72

Calls

4 calls:

6.0ms	(.f64 1/2 (.f64 (*.f64 a x) x))
6.0ms	(.f64 a (+.f64 x (.f64 1/2 (.f64 (.f64 a x) x))))
5.0ms	(.f64 (.f64 a x) x)
4.0ms	(+.f64 x (.f64 1/2 (.f64 (*.f64 a x) x)))

Compiler

Compiled 1371 to 580 computations (57.7% saved)

series376.0ms (10.1%)

Error

0.0b

Counts

4 → 36

Calls

4 calls:

131.0ms	(.f64 a (+.f64 x (.f64 1/2 (.f64 (.f64 a x) x))))
98.0ms	(+.f64 x (.f64 1/2 (.f64 (*.f64 a x) x)))
68.0ms	(.f64 1/2 (.f64 (*.f64 a x) x))
58.0ms	(.f64 (.f64 a x) x)

Compiler

Compiled 996 to 765 computations (23.2% saved)

simplify89.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

108 → 108

Iterations

Useful iterations: 0 (70.0ms)

Iter	Nodes	Cost
0	4993	1414
1	4993	1414

prune71.0ms (1.9%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	108	0	108
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	108	5	113

Error

0.0b

Counts

113 → 5

Compiler

Compiled 1528 to 651 computations (57.4% saved)

regimes238.0ms (6.4%)

Accuracy

Total 0.4b remaining (81.2%)

Threshold costs 0.4b (81.2%)

Compiler

Compiled 1739 to 1282 computations (26.3% saved)

bsearch1.0ms (0%)

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

simplify10.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	29	48
1	29	48

Compiler

Compiled 64 to 38 computations (40.6% saved)

end0.0ms (0%)

sample1.7s (45.2%)

Algorithm

1×

intervals

Results

448.0ms	1517×	body	2048	valid
255.0ms	1776×	body	1024	valid
88.0ms	1075×	body	512	valid
72.0ms	3040×	body	128	valid
30.0ms	592×	body	256	valid
4.0ms	141×	body	128	invalid

Compiler

Compiled 326 to 232 computations (28.8% saved)

Details

analyze220.0ms (5.9%)

sample47.0ms (1.3%)

simplify69.0ms (1.8%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite31.0ms (0.8%)

series99.0ms (2.6%)

simplify66.0ms (1.8%)

prune39.0ms (1.1%)

localize2.0ms (0.1%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify7.0ms (0.2%)

prune4.0ms (0.1%)

localize7.0ms (0.2%)

rewrite87.0ms (2.3%)

series365.0ms (9.8%)

simplify48.0ms (1.3%)

prune76.0ms (2%)

localize7.0ms (0.2%)

rewrite78.0ms (2.1%)

series376.0ms (10.1%)

simplify89.0ms (2.4%)

prune71.0ms (1.9%)

regimes238.0ms (6.4%)

bsearch1.0ms (0%)

simplify10.0ms (0.3%)

end0.0ms (0%)

sample1.7s (45.2%)

Profiling