Details

analyze106.0ms (5.5%)

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
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	62.4%	12.6%	6
25%	46.8%	28.2%	7
31.2%	35.9%	32.9%	8
39%	25%	36%	9
42.9%	18.7%	38.3%	10
47.2%	12.9%	39.9%	11
49.4%	9.6%	41.1%	12
51.6%	6.5%	41.9%	13
52.7%	4.8%	42.4%	14

Compiler

Compiled 14 to 10 computations (28.6% saved)

sample15.0ms (0.8%)

Algorithm

1×

intervals

Results

8.0ms	256×	body	128	valid
0.0ms	8×	body	128	invalid

Compiler

Compiled 27 to 21 computations (22.2% saved)

simplify159.0ms (8.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	38	16
1	38	16

prune3.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 24 to 17 computations (29.2% saved)

localize11.0ms (0.6%)

Local error

Found 2 expressions with local error:

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

rewrite14.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-log-exp_binary64_16963`
4×	`sum-log_binary64_17015`
2×	`*-un-lft-identity_binary64_16927` `+-commutative_binary64_16859` `add-cbrt-cube_binary64_16960` `add-exp-log_binary64_16962` `pow1_binary64_16985` `flip3-+_binary64_16930` `flip-+_binary64_16901` `add-sqr-sqrt_binary64_16948` `add-cube-cbrt_binary64_16959`
1×	`associate-+l+_binary64_16862`

Counts

2 → 24

Calls

2 calls:

7.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2) y)) (.f64 y y))
5.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 x 2) y))

series91.0ms (4.7%)

Counts

2 → 6

Calls

2 calls:

51.0ms	(+.f64 (.f64 x x) (.f64 (*.f64 x 2) y))
39.0ms	(+.f64 (+.f64 (.f64 x x) (.f64 (.f64 x 2) y)) (.f64 y y))

simplify61.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

30 → 30

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4965	549
1	4965	549

prune30.0ms (1.6%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	28	2	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	28	3	31

Merged error: 0b

Counts

31 → 3

Compiler

Compiled 554 to 294 computations (46.9% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite21.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`*-un-lft-identity_binary64_16927`
6×	`add-sqr-sqrt_binary64_16948`
5×	`associate-r_binary64_16869`
4×	`add-cbrt-cube_binary64_16960` `add-exp-log_binary64_16962` `pow1_binary64_16985` `add-cube-cbrt_binary64_16959` `add-log-exp_binary64_16963`
3×	`associate-l_binary64_16870` `distribute-lft-out_binary64_16880`
2×	`distribute-lft-in_binary64_16878` `associate-*r/_binary64_16871` `flip3-+_binary64_16930` `associate-+r+_binary64_16861` `flip-+_binary64_16901` `distribute-rgt-in_binary64_16879`
1×	`unswap-sqr_binary64_16895` `cbrt-unprod_binary64_16957` `+-commutative_binary64_16859` `sum-log_binary64_17015` `pow-prod-down_binary64_16995` `*-commutative_binary64_16860` `prod-exp_binary64_16973`

Counts

2 → 37

Calls

2 calls:

12.0ms	(*.f64 y (+.f64 (+.f64 x x) y))
7.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 (+.f64 x x) y)))

series88.0ms (4.6%)

Counts

2 → 6

Calls

2 calls:

49.0ms	(*.f64 y (+.f64 (+.f64 x x) y))
38.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 (+.f64 x x) y)))

simplify64.0ms (3.3%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (50.0ms)

Iter	Nodes	Cost
0	5004	648

prune26.0ms (1.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	43	0	43
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	43	3	46

Merged error: 0b

Counts

46 → 3

Compiler

Compiled 725 to 149 computations (79.4% saved)

localize9.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x (.f64 2 y)))) (sqrt.f64 (.f64 x (+.f64 x (.f64 2 y))))) (.f64 y y))
0.1b	(.f64 (sqrt.f64 (.f64 x (+.f64 x (.f64 2 y)))) (sqrt.f64 (.f64 x (+.f64 x (*.f64 2 y)))))
9.5b	(sqrt.f64 (.f64 x (+.f64 x (.f64 2 y))))
9.5b	(sqrt.f64 (.f64 x (+.f64 x (.f64 2 y))))

rewrite51.0ms (2.7%)

Algorithm

1×	rewrite-expression-head

Rules

59×	`pow1_binary64_16985`
32×	`sqrt-pow1_binary64_16944`
22×	`pow-prod-down_binary64_16995`
18×	`associate-*r/_binary64_16871`
16×	`sqrt-div_binary64_16943`
12×	`pow1/2_binary64_17004`
10×	`pow-prod-up_binary64_16994` `add-sqr-sqrt_binary64_16948`
9×	`flip3-+_binary64_16930` `flip-+_binary64_16901`
8×	`*-un-lft-identity_binary64_16927` `add-cube-cbrt_binary64_16959`
6×	`add-cbrt-cube_binary64_16960` `add-exp-log_binary64_16962` `pow-sqr_binary64_16900` `sqrt-prod_binary64_16942` `add-log-exp_binary64_16963`
4×	`frac-times_binary64_16937` `swap-sqr_binary64_16894` `associate-l_binary64_16870` `associate-r_binary64_16869`
2×	`associate-*l/_binary64_16872`
1×	`unswap-sqr_binary64_16895` `cbrt-unprod_binary64_16957` `+-commutative_binary64_16859` `sum-log_binary64_17015` `rem-square-sqrt_binary64_16939` `pow-plus_binary64_16987` `*-commutative_binary64_16860` `prod-exp_binary64_16973` `sqrt-unprod_binary64_16946` `pow2_binary64_17005`

Counts

4 → 94

Calls

4 calls:

15.0ms	(+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x (.f64 2 y)))) (sqrt.f64 (.f64 x (+.f64 x (.f64 2 y))))) (.f64 y y))
14.0ms	(.f64 (sqrt.f64 (.f64 x (+.f64 x (.f64 2 y)))) (sqrt.f64 (.f64 x (+.f64 x (*.f64 2 y)))))
4.0ms	(sqrt.f64 (.f64 x (+.f64 x (.f64 2 y))))
4.0ms	(sqrt.f64 (.f64 x (+.f64 x (.f64 2 y))))

series256.0ms (13.3%)

Counts

4 → 12

Calls

4 calls:

79.0ms	(sqrt.f64 (.f64 x (+.f64 x (.f64 2 y))))
77.0ms	(sqrt.f64 (.f64 x (+.f64 x (.f64 2 y))))
53.0ms	(.f64 (sqrt.f64 (.f64 x (+.f64 x (.f64 2 y)))) (sqrt.f64 (.f64 x (+.f64 x (*.f64 2 y)))))
47.0ms	(+.f64 (.f64 (sqrt.f64 (.f64 x (+.f64 x (.f64 2 y)))) (sqrt.f64 (.f64 x (+.f64 x (.f64 2 y))))) (.f64 y y))

simplify69.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

106 → 106

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	4943	1563
1	4943	1563

prune103.0ms (5.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	106	0	106
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	106	3	109

Merged error: 0b

Counts

109 → 3

Compiler

Compiled 2253 to 1314 computations (41.7% saved)

regimes32.0ms (1.6%)

Compiler: Compiled 165 to 119 computations (27.9% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	19
1	14	19

end0.0ms (0%)

sample705.0ms (36.6%)

Algorithm

1×

intervals

Results

460.0ms	8000×	body	128	valid
6.0ms	189×	body	128	invalid

Compiler

Compiled 85 to 61 computations (28.2% saved)

Details

analyze106.0ms (5.5%)

sample15.0ms (0.8%)

simplify159.0ms (8.3%)

prune3.0ms (0.2%)

localize11.0ms (0.6%)

rewrite14.0ms (0.7%)

series91.0ms (4.7%)

simplify61.0ms (3.2%)

prune30.0ms (1.6%)

localize7.0ms (0.3%)

rewrite21.0ms (1.1%)

series88.0ms (4.6%)

simplify64.0ms (3.3%)

prune26.0ms (1.4%)

localize9.0ms (0.5%)

rewrite51.0ms (2.7%)

series256.0ms (13.3%)

simplify69.0ms (3.6%)

prune103.0ms (5.4%)

regimes32.0ms (1.6%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample705.0ms (36.6%)

Profiling