Details

analyze160.0ms (11%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	56	20
1	56	20
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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
37.5%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample13.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	39	10
1	39	10

prune4.0ms (0.3%)

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

0.0b

Counts

2 → 2

Compiler

Compiled 23 to 19 computations (17.4% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 2 (.f64 x (+.f64 x y)))
0.0b	(*.f64 x (+.f64 x y))

rewrite20.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`pow1_binary64_15484` `add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
7×	`*-un-lft-identity_binary64_15423` `add-sqr-sqrt_binary64_15445`
6×	`associate-r/_binary64_15365` `associate-l*_binary64_15364`
5×	`add-cube-cbrt_binary64_15458` `associate-r_binary64_15363` `distribute-lft-in_binary64_15372` `distribute-rgt-in_binary64_15373`
4×	`prod-exp_binary64_15472` `pow-prod-down_binary64_15494` `cbrt-unprod_binary64_15456`
2×	`*-commutative_binary64_15354` `flip3-+_binary64_15426` `flip-+_binary64_15397` `add-log-exp_binary64_15462`
1×	`distribute-lft-out_binary64_15374` `unswap-sqr_binary64_15391`

Counts

2 → 47

Calls

2 calls:

11.0ms	(.f64 2 (.f64 x (+.f64 x y)))
6.0ms	(*.f64 x (+.f64 x y))

series45.0ms (3.1%)

Counts

2 → 6

Calls

2 calls:

24.0ms	(.f64 2 (.f64 x (+.f64 x y)))
20.0ms	(*.f64 x (+.f64 x y))

simplify106.0ms (7.3%)

Algorithm

1×	egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 0 (95.0ms)

Iter	Nodes	Cost
0	4967	564
1	4967	564

prune34.0ms (2.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	51	2	53
Fresh	0	1	1
Picked	1	0	1
Done	0	0	0
Total	52	3	55

Error

Counts

55 → 3

Compiler

Compiled 614 to 256 computations (58.3% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x x) (+.f64 x y))

rewrite13.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-l_binary64_15364`
11×	`*-un-lft-identity_binary64_15423`
9×	`add-sqr-sqrt_binary64_15445`
7×	`add-cube-cbrt_binary64_15458`
6×	`flip3-+_binary64_15426` `flip-+_binary64_15397`
4×	`associate-r_binary64_15363` `frac-times_binary64_15433` `distribute-lft-out_binary64_15374`
3×	`pow1_binary64_15484` `distribute-rgt-out_binary64_15376` `add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
2×	`associate-r/_binary64_15365` `associate-l/_binary64_15366`
1×	`*-commutative_binary64_15354` `distribute-rgt1-in_binary64_15379` `distribute-lft-in_binary64_15372` `distribute-rgt-in_binary64_15373` `prod-exp_binary64_15472` `unswap-sqr_binary64_15391` `pow-prod-down_binary64_15494` `cbrt-unprod_binary64_15456` `distribute-lft1-in_binary64_15378` `add-log-exp_binary64_15462` `count-2_binary64_15371`

Counts

1 → 38

Calls

1 calls:

10.0ms

(*.f64 (+.f64 x x) (+.f64 x y))

series26.0ms (1.8%)

Counts

1 → 3

Calls

1 calls:

26.0ms

(*.f64 (+.f64 x x) (+.f64 x y))

simplify66.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5002	502

prune23.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	41	3	44

Error

Counts

44 → 3

Compiler

Compiled 500 to 158 computations (68.4% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
0.0b	(+.f64 (.f64 x x) (.f64 x y))

rewrite16.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-sqr-sqrt_binary64_15445`
4×	`add-cube-cbrt_binary64_15458` `associate-r_binary64_15363` `pow1_binary64_15484` `*-un-lft-identity_binary64_15423` `add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459` `add-log-exp_binary64_15462`
3×	`associate-l_binary64_15364`
2×	`flip3-+_binary64_15426` `distribute-lft-out_binary64_15374` `flip-+_binary64_15397` `associate-*r/_binary64_15365`
1×	`*-commutative_binary64_15354` `distribute-lft-in_binary64_15372` `distribute-rgt-in_binary64_15373` `prod-exp_binary64_15472` `sum-log_binary64_15514` `+-commutative_binary64_15353` `unswap-sqr_binary64_15391` `pow-prod-down_binary64_15494` `cbrt-unprod_binary64_15456`

Counts

2 → 35

Calls

2 calls:

10.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
4.0ms	(+.f64 (.f64 x x) (.f64 x y))

series49.0ms (3.3%)

Counts

2 → 6

Calls

2 calls:

27.0ms	(.f64 2 (+.f64 (.f64 x x) (*.f64 x y)))
22.0ms	(+.f64 (.f64 x x) (.f64 x y))

simplify80.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (69.0ms)

Iter	Nodes	Cost
0	4981	493
1	4981	493

prune26.0ms (1.8%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	41	0	41
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	41	3	44

Error

Counts

44 → 3

Compiler

Compiled 527 to 223 computations (57.7% saved)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 2 (.f64 (sqrt.f64 x) (*.f64 (+.f64 x y) (sqrt.f64 x))))
0.1b	(*.f64 (+.f64 x y) (sqrt.f64 x))
0.2b	(.f64 (sqrt.f64 x) (.f64 (+.f64 x y) (sqrt.f64 x)))

rewrite38.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`pow1_binary64_15484` `add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
13×	`add-sqr-sqrt_binary64_15445` `associate-l_binary64_15364`
11×	`*-un-lft-identity_binary64_15423`
10×	`prod-exp_binary64_15472` `pow-prod-down_binary64_15494` `cbrt-unprod_binary64_15456`
9×	`add-cube-cbrt_binary64_15458`
8×	`associate-r_binary64_15363`
7×	`sqrt-prod_binary64_15439`
6×	`associate-r/_binary64_15365` `associate-l/_binary64_15366`
3×	`*-commutative_binary64_15354` `flip3-+_binary64_15426` `flip-+_binary64_15397` `add-log-exp_binary64_15462`
2×	`unswap-sqr_binary64_15391`
1×	`distribute-lft-out_binary64_15374`

Counts

3 → 71

Calls

3 calls:

13.0ms	(.f64 (sqrt.f64 x) (.f64 (+.f64 x y) (sqrt.f64 x)))
12.0ms	(.f64 2 (.f64 (sqrt.f64 x) (*.f64 (+.f64 x y) (sqrt.f64 x))))
8.0ms	(*.f64 (+.f64 x y) (sqrt.f64 x))

series83.0ms (5.7%)

Counts

3 → 9

Calls

3 calls:

29.0ms	(.f64 2 (.f64 (sqrt.f64 x) (*.f64 (+.f64 x y) (sqrt.f64 x))))
28.0ms	(*.f64 (+.f64 x y) (sqrt.f64 x))
25.0ms	(.f64 (sqrt.f64 x) (.f64 (+.f64 x y) (sqrt.f64 x)))

simplify68.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5021	977

prune51.0ms (3.5%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	80	0	80
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	80	3	83

Error

Counts

83 → 3

Compiler

Compiled 1104 to 409 computations (63% saved)

regimes45.0ms (3.1%)

Accuracy

Total 0.0b remaining (66.3%)

Threshold costs 0.0b (66.3%)

Compiler

Compiled 172 to 136 computations (20.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

end0.0ms (0%)

sample459.0ms (31.5%)

Algorithm

1×

intervals

Results

213.0ms	8000×	body	128	valid
4.0ms	139×	body	128	invalid

Compiler

Compiled 58 to 47 computations (19% saved)

Details

analyze160.0ms (11%)

sample13.0ms (0.9%)

simplify8.0ms (0.5%)

prune4.0ms (0.3%)

localize5.0ms (0.3%)

rewrite20.0ms (1.4%)

series45.0ms (3.1%)

simplify106.0ms (7.3%)

prune34.0ms (2.4%)

localize5.0ms (0.3%)

rewrite13.0ms (0.9%)

series26.0ms (1.8%)

simplify66.0ms (4.5%)

prune23.0ms (1.6%)

localize6.0ms (0.4%)

rewrite16.0ms (1.1%)

series49.0ms (3.3%)

simplify80.0ms (5.5%)

prune26.0ms (1.8%)

localize7.0ms (0.5%)

rewrite38.0ms (2.6%)

series83.0ms (5.7%)

simplify68.0ms (4.7%)

prune51.0ms (3.5%)

regimes45.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample459.0ms (31.5%)

Profiling