Details

analyze67.0ms (4.7%)

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 (0.8%)

Algorithm

1×

intervals

Results

4.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 15 to 11 computations (26.7% saved)

simplify10.0ms (0.7%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (4.0ms)

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)

localize4.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite18.0ms (1.3%)

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` `pow2_binary64` `*-commutative_binary64`

Counts

1 → 40

Calls

1 calls:

15.0ms

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

series27.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

27.0ms

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

simplify43.0ms (3%)

Algorithm

1×	egg-herbie

Counts

43 → 43

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5463	523

prune49.0ms (3.4%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	40	3	43
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	41	3	44

Merged error: 0.0b

Counts

44 → 3

Compiler

Compiled 770 to 360 computations (53.2% 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))

rewrite28.0ms (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`
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 → 66

Calls

3 calls:

9.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))
7.0ms	(*.f64 x (+.f64 x y))
7.0ms	(*.f64 y (+.f64 x y))

series123.0ms (8.6%)

Counts

3 → 9

Calls

3 calls:

44.0ms	(*.f64 y (+.f64 x y))
41.0ms	(*.f64 x (+.f64 x y))
38.0ms	(+.f64 (.f64 x (+.f64 x y)) (.f64 y (+.f64 x y)))

simplify78.0ms (5.5%)

Algorithm

1×	egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (64.0ms)

Iter	Nodes	Cost
0	4746	903
1	4746	903

prune64.0ms (4.5%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	73	2	75
Fresh	1	1	2
Picked	1	0	1
Done	0	0	0
Total	75	3	78

Merged error: 0b

Counts

78 → 3

Compiler

Compiled 1309 to 352 computations (73.1% saved)

localize6.0ms (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))

rewrite29.0ms (2.1%)

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` `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 → 52

Calls

3 calls:

10.0ms	(+.f64 (.f64 x (+.f64 y (+.f64 x y))) (.f64 y y))
9.0ms	(*.f64 x (+.f64 y (+.f64 x y)))
6.0ms	(+.f64 y (+.f64 x y))

series125.0ms (8.7%)

Counts

3 → 9

Calls

3 calls:

48.0ms	(*.f64 x (+.f64 y (+.f64 x y)))
40.0ms	(+.f64 (.f64 x (+.f64 y (+.f64 x y))) (.f64 y y))
37.0ms	(+.f64 y (+.f64 x y))

simplify67.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	4939	729
1	4939	729

prune36.0ms (2.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	61	3	64

Merged error: 0b

Counts

64 → 3

Compiler

Compiled 919 to 203 computations (77.9% 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))

rewrite27.0ms (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` `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 → 52

Calls

3 calls:

9.0ms	(*.f64 y (+.f64 x (+.f64 x y)))
9.0ms	(+.f64 x (+.f64 x y))
5.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 x (+.f64 x y))))

series121.0ms (8.4%)

Counts

3 → 9

Calls

3 calls:

53.0ms	(*.f64 y (+.f64 x (+.f64 x y)))
37.0ms	(+.f64 (.f64 x x) (.f64 y (+.f64 x (+.f64 x y))))
30.0ms	(+.f64 x (+.f64 x y))

simplify51.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

61 → 61

Iterations

Useful iterations: 0 (39.0ms)

Iter	Nodes	Cost
0	5117	724

prune36.0ms (2.5%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	61	0	61
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	61	3	64

Merged error: 0b

Counts

64 → 3

Compiler

Compiled 903 to 179 computations (80.2% saved)

regimes27.0ms (1.9%)

Compiler: Compiled 91 to 71 computations (22% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	7
1	7	7

end0.0ms (0%)

sample367.0ms (25.7%)

Algorithm

1×

intervals

Results

149.0ms	8000×	body	128	valid
2.0ms	85×	body	128	invalid

Compiler

Compiled 53 to 40 computations (24.5% saved)

Details

analyze67.0ms (4.7%)

sample11.0ms (0.8%)

simplify10.0ms (0.7%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

rewrite18.0ms (1.3%)

series27.0ms (1.9%)

simplify43.0ms (3%)

prune49.0ms (3.4%)

localize6.0ms (0.4%)

rewrite28.0ms (1.9%)

series123.0ms (8.6%)

simplify78.0ms (5.5%)

prune64.0ms (4.5%)

localize6.0ms (0.5%)

rewrite29.0ms (2.1%)

series125.0ms (8.7%)

simplify67.0ms (4.7%)

prune36.0ms (2.5%)

localize7.0ms (0.5%)

rewrite27.0ms (1.9%)

series121.0ms (8.4%)

simplify51.0ms (3.6%)

prune36.0ms (2.5%)

regimes27.0ms (1.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample367.0ms (25.7%)

Profiling