Details

analyze68.0ms (4.3%)

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%	56.2%	18.8%	6
25%	40.6%	34.4%	7
31.2%	31.2%	37.6%	8
39%	21.1%	39.9%	9
42.9%	16%	41.1%	10
47.2%	10.7%	42%	11
49.4%	8.1%	42.5%	12
51.6%	5.4%	43%	13
52.7%	4.1%	43.2%	14

Compiler

Compiled 8 to 5 computations (37.5% saved)

sample11.0ms (0.7%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	80	valid
0.0ms	1×	body	80	invalid

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify23.0ms (1.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (9.0ms)

Iter	Nodes	Cost
0	70	10
1	70	10

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 8 computations (42.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

19×	`*-un-lft-identity_binary64`
8×	`pow1_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`flip3-+_binary64` `swap-sqr_binary64` `distribute-lft-out_binary64` `flip-+_binary64`
5×	`add-cube-cbrt_binary64`
4×	`associate-r_binary64` `associate-l_binary64` `frac-times_binary64`
3×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
2×	`associate-r/_binary64` `associate-l/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `pow-prod-up_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `pow-plus_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `pow-sqr_binary64` `insert-posit16` `pow2_binary64` `*-commutative_binary64`

Counts

1 → 41

Calls

1 calls:

11.0ms

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

series28.0ms (1.8%)

Counts

1 → 3

Calls

1 calls:

28.0ms

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

simplify70.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

44 → 44

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5201	534

prune31.0ms (1.9%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	42	3	45

Merged error: 0.0b

Counts

45 → 3

Compiler

Compiled 519 to 183 computations (64.7% saved)

localize6.0ms (0.4%)

Local error

Found 3 expressions with local error:

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

rewrite30.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

12×	`associate-*r/_binary64`
11×	`*-un-lft-identity_binary64` `add-sqr-sqrt_binary64`
8×	`associate-r_binary64`
7×	`flip3-+_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `flip-+_binary64`
6×	`associate-l_binary64`
5×	`add-log-exp_binary64`
4×	`frac-add_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`insert-posit16`
2×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `distribute-lft-out_binary64` `associate-+l+_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-+r+_binary64` `*-commutative_binary64`
1×	`distribute-rgt-out_binary64` `+-commutative_binary64` `sum-log_binary64`

Counts

3 → 69

Calls

3 calls:

10.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
10.0ms	(*.f64 x (+.f64 x y))
7.0ms	(*.f64 y (+.f64 x y))

series121.0ms (7.6%)

Counts

3 → 9

Calls

3 calls:

44.0ms	(*.f64 x (+.f64 x y))
41.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
36.0ms	(*.f64 y (+.f64 x y))

simplify146.0ms (9.2%)

Algorithm

1×	egg-herbie

Counts

78 → 78

Iterations

Useful iterations: 0 (120.0ms)

Iter	Nodes	Cost
0	4739	930
1	4739	930

prune51.0ms (3.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	76	2	78
Fresh	1	0	1
Picked	1	0	1
Done	1	0	1
Total	79	2	81

Merged error: 0b

Counts

81 → 2

Compiler

Compiled 1204 to 273 computations (77.3% saved)

localize9.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

rewrite30.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64`
10×	`add-log-exp_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`sum-log_binary64`
3×	`flip3-+_binary64` `associate-l_binary64` `insert-posit16` `flip-+_binary64`
2×	`associate-*r/_binary64` `associate-+l+_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `associate-+r+_binary64` `*-commutative_binary64`

Counts

3 → 55

Calls

3 calls:

12.0ms	(+.f64 (.f64 x (+.f64 y (+.f64 x y))) (.f64 y y))
10.0ms	(*.f64 x (+.f64 y (+.f64 x y)))
7.0ms	(+.f64 y (+.f64 x y))

series122.0ms (7.7%)

Counts

3 → 9

Calls

3 calls:

51.0ms	(*.f64 x (+.f64 y (+.f64 x y)))
36.0ms	(+.f64 y (+.f64 x y))
35.0ms	(+.f64 (.f64 x (+.f64 y (+.f64 x y))) (.f64 y y))

simplify112.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	5445	766

prune39.0ms (2.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	64	2	66

Merged error: 0b

Counts

66 → 2

Compiler

Compiled 951 to 202 computations (78.8% saved)

localize7.0ms (0.5%)

Local error

Found 3 expressions with local error:

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

rewrite32.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

15×	`*-un-lft-identity_binary64`
10×	`add-log-exp_binary64`
7×	`add-sqr-sqrt_binary64`
6×	`distribute-lft-out_binary64`
5×	`pow1_binary64` `associate-r_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`sum-log_binary64`
3×	`flip3-+_binary64` `associate-l_binary64` `insert-posit16` `flip-+_binary64` `associate-+r+_binary64`
2×	`associate-*r/_binary64` `distribute-lft-in_binary64` `distribute-rgt-in_binary64` `+-commutative_binary64`
1×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `*-commutative_binary64`

Counts

3 → 55

Calls

3 calls:

15.0ms	(*.f64 y (+.f64 x (+.f64 x y)))
8.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 x (+.f64 x y))))
7.0ms	(+.f64 x (+.f64 x y))

series121.0ms (7.6%)

Counts

3 → 9

Calls

3 calls:

46.0ms	(*.f64 y (+.f64 x (+.f64 x y)))
41.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 x (+.f64 x y))))
33.0ms	(+.f64 x (+.f64 x y))

simplify80.0ms (5.1%)

Algorithm

1×	egg-herbie

Counts

64 → 64

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	5111	750

prune38.0ms (2.4%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	64	0	64
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	64	2	66

Merged error: 0b

Counts

66 → 2

Compiler

Compiled 934 to 196 computations (79% saved)

regimes16.0ms (1%)

Compiler: Compiled 48 to 36 computations (25% saved)

bsearch0.0ms (0%)

simplify6.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	12	16
1	12	16

end0.0ms (0%)

sample370.0ms (23.4%)

Algorithm

1×

intervals

Results

155.0ms	8000×	body	80	valid
2.0ms	85×	body	80	invalid

Compiler

Compiled 54 to 37 computations (31.5% saved)

Details

analyze68.0ms (4.3%)

sample11.0ms (0.7%)

simplify23.0ms (1.5%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite13.0ms (0.8%)

series28.0ms (1.8%)

simplify70.0ms (4.4%)

prune31.0ms (1.9%)

localize6.0ms (0.4%)

rewrite30.0ms (1.9%)

series121.0ms (7.6%)

simplify146.0ms (9.2%)

prune51.0ms (3.2%)

localize9.0ms (0.5%)

rewrite30.0ms (1.9%)

series122.0ms (7.7%)

simplify112.0ms (7.1%)

prune39.0ms (2.5%)

localize7.0ms (0.5%)

rewrite32.0ms (2%)

series121.0ms (7.6%)

simplify80.0ms (5.1%)

prune38.0ms (2.4%)

regimes16.0ms (1%)

bsearch0.0ms (0%)

simplify6.0ms (0.4%)

end0.0ms (0%)

sample370.0ms (23.4%)

Profiling