Details

analyze73.0ms (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
37.5%	62.4%	0.1%	6
56.2%	43.7%	0.1%	7
65.6%	34.3%	0.1%	8
76.5%	23.4%	0.1%	9
82%	18%	0.1%	10
87.8%	12.1%	0.1%	11
90.7%	9.2%	0.1%	12
93.8%	6.1%	0.1%	13
95.3%	4.6%	0.1%	14

Compiler

Compiled 6 to 6 computations (0% saved)

sample10.0ms (0.7%)

Algorithm

1×

intervals

Results

4.0ms	252×	body	128	valid
0.0ms	2×	body	1024	valid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	512	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify14.0ms (1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (8.0ms)

Iter	Nodes	Cost
0	138	7
1	138	7

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 10 to 10 computations (0% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 200 (-.f64 x y))

rewrite10.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64`
7×	`*-un-lft-identity_binary64`
6×	`cancel-sign-sub-inv_binary64`
5×	`associate-r_binary64` `add-cube-cbrt_binary64`
4×	`distribute-lft-in_binary64` `distribute-rgt-in_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-l_binary64`
2×	`sub-neg_binary64` `associate-*r/_binary64`
1×	`pow-prod-down_binary64` `add-log-exp_binary64` `flip3--_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `prod-exp_binary64` `difference-of-squares_binary64` `distribute-lft-out--_binary64` `flip--_binary64` `*-commutative_binary64`

Counts

1 → 30

Calls

1 calls:

8.0ms

(*.f64 200 (-.f64 x y))

series41.0ms (2.9%)

Counts

1 → 3

Calls

1 calls:

41.0ms

(*.f64 200 (-.f64 x y))

simplify83.0ms (5.7%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	4919	298
1	4919	298

prune48.0ms (3.3%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	30	3	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	30	4	34

Merged error: 0b

Counts

34 → 4

Compiler

Compiled 618 to 441 computations (28.6% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 200 x) (.f64 y -200))

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 200 x) (*.f64 y -200))

series49.0ms (3.4%)

Counts

1 → 3

Calls

1 calls:

49.0ms

(+.f64 (*.f64 200 x) (*.f64 y -200))

simplify68.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	4894	159
1	4894	159

prune15.0ms (1%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	14	0	14
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	14	4	18

Merged error: 0b

Counts

18 → 4

Compiler

Compiled 203 to 150 computations (26.1% saved)

localize6.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.3b	(*.f64 (-.f64 x y) (sqrt.f64 200))
0.3b	(.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 200)))

rewrite24.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64`
11×	`associate-l_binary64`
9×	`*-un-lft-identity_binary64` `pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64`
7×	`associate-r_binary64` `add-cube-cbrt_binary64` `sqrt-prod_binary64`
4×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `prod-exp_binary64` `associate-*l/_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `flip--_binary64` `-commutative_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 49

Calls

2 calls:

12.0ms	(.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 200)))
9.0ms	(*.f64 (-.f64 x y) (sqrt.f64 200))

series170.0ms (11.8%)

Counts

2 → 6

Calls

2 calls:

98.0ms	(.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 200)))
72.0ms	(*.f64 (-.f64 x y) (sqrt.f64 200))

simplify51.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5398	597

prune41.0ms (2.9%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	55	0	55
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	55	4	59

Merged error: 0b

Counts

59 → 4

Compiler

Compiled 678 to 446 computations (34.2% saved)

localize7.0ms (0.5%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (-.f64 x y) (cbrt.f64 200))
0.5b	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))

rewrite27.0ms (1.9%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`pow1_binary64` `add-exp-log_binary64`
11×	`add-sqr-sqrt_binary64`
9×	`pow-prod-down_binary64` `cbrt-unprod_binary64` `add-cbrt-cube_binary64` `prod-exp_binary64`
7×	`-un-lft-identity_binary64` `associate-r*_binary64`
6×	`associate-l_binary64`
5×	`add-cube-cbrt_binary64`
4×	`cbrt-prod_binary64` `associate-*l/_binary64`
2×	`add-log-exp_binary64` `flip3--_binary64` `associate-r/_binary64` `unswap-sqr_binary64` `flip--_binary64` `-commutative_binary64`
1×	`difference-of-squares_binary64` `distribute-lft-out--_binary64`

Counts

2 → 50

Calls

2 calls:

14.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))
9.0ms	(*.f64 (-.f64 x y) (cbrt.f64 200))

series173.0ms (12%)

Counts

2 → 6

Calls

2 calls:

112.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))
61.0ms	(*.f64 (-.f64 x y) (cbrt.f64 200))

simplify52.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5123	604

prune46.0ms (3.2%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	56	0	56
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	56	4	60

Merged error: 0b

Counts

60 → 4

Compiler

Compiled 751 to 516 computations (31.3% saved)

regimes42.0ms (2.9%)

Compiler: Compiled 152 to 156 computations (-2.6% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	7
1	17	7

end0.0ms (0%)

sample377.0ms (26.1%)

Algorithm

1×

intervals

Results

148.0ms	7843×	body	128	valid
3.0ms	59×	body	1024	valid
3.0ms	38×	body	2048	valid
2.0ms	37×	body	512	valid
1.0ms	52×	body	128	invalid
1.0ms	23×	body	256	valid

Compiler

Compiled 44 to 46 computations (-4.5% saved)

Details

analyze73.0ms (5%)

sample10.0ms (0.7%)

simplify14.0ms (1%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

rewrite10.0ms (0.7%)

series41.0ms (2.9%)

simplify83.0ms (5.7%)

prune48.0ms (3.3%)

localize5.0ms (0.3%)

rewrite5.0ms (0.3%)

series49.0ms (3.4%)

simplify68.0ms (4.7%)

prune15.0ms (1%)

localize6.0ms (0.4%)

rewrite24.0ms (1.7%)

series170.0ms (11.8%)

simplify51.0ms (3.5%)

prune41.0ms (2.9%)

localize7.0ms (0.5%)

rewrite27.0ms (1.9%)

series173.0ms (12%)

simplify52.0ms (3.6%)

prune46.0ms (3.2%)

regimes42.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample377.0ms (26.1%)

Profiling