Details

analyze48.0ms (2.1%)

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
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

Compiler

Compiled 10 to 10 computations (0% saved)

sample14.0ms (0.6%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 19 to 21 computations (-10.5% saved)

simplify97.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	48	10
1	48	10

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.2b

Counts

2 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(*.f64 (-.f64 x 4/29) 3)
0.2b	(.f64 (.f64 (-.f64 x 4/29) 3) y)

rewrite17.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-exp-log_binary64_22281` `add-sqr-sqrt_binary64_22265` `pow1_binary64_22304` `add-cbrt-cube_binary64_22279`
7×	`*-un-lft-identity_binary64_22243`
6×	`associate-r_binary64_22183` `associate-l/_binary64_22186` `associate-l*_binary64_22184`
5×	`add-cube-cbrt_binary64_22278`
4×	`cbrt-unprod_binary64_22276` `pow-prod-down_binary64_22314` `prod-exp_binary64_22292`
2×	`add-log-exp_binary64_22282` `flip--_binary64_22218` `flip3--_binary64_22247` `*-commutative_binary64_22174`
1×	`difference-of-squares_binary64_22212` `distribute-lft-out--_binary64_22195` `unswap-sqr_binary64_22211`

Counts

2 → 42

Calls

2 calls:

8.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)
7.0ms	(*.f64 (-.f64 x 4/29) 3)

series46.0ms (2%)

Counts

2 → 6

Calls

2 calls:

25.0ms	(.f64 (.f64 (-.f64 x 4/29) 3) y)
21.0ms	(*.f64 (-.f64 x 4/29) 3)

simplify73.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (59.0ms)

Iter	Nodes	Cost
0	4947	499
1	4947	499

prune44.0ms (1.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	41	7	48
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	41	8	49

Error

0.0b

Counts

49 → 8

Compiler

Compiled 637 to 496 computations (22.1% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.3b	(.f64 (-.f64 x 4/29) (.f64 3 y))

rewrite12.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-exp-log_binary64_22281` `pow1_binary64_22304` `add-cbrt-cube_binary64_22279`
5×	`associate-l_binary64_22184`
4×	`add-sqr-sqrt_binary64_22265` `*-un-lft-identity_binary64_22243`
3×	`cbrt-unprod_binary64_22276` `pow-prod-down_binary64_22314` `prod-exp_binary64_22292`
2×	`associate-*l/_binary64_22186` `add-cube-cbrt_binary64_22278`
1×	`associate-r_binary64_22183` `add-log-exp_binary64_22282` `flip--_binary64_22218` `flip3--_binary64_22247` `difference-of-squares_binary64_22212` `*-commutative_binary64_22174` `distribute-lft-out--_binary64_22195`

Counts

1 → 22

Calls

1 calls:

10.0ms

(*.f64 (-.f64 x 4/29) (*.f64 3 y))

series26.0ms (1.1%)

Counts

1 → 3

Calls

1 calls:

26.0ms

(*.f64 (-.f64 x 4/29) (*.f64 3 y))

simplify65.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (56.0ms)

Iter	Nodes	Cost
0	4936	290
1	4936	290

prune22.0ms (1%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	2	4	6
Picked	0	1	1
Done	0	1	1
Total	26	7	33

Error

0.0b

Counts

33 → 7

Compiler

Compiled 355 to 279 computations (21.4% saved)

localize9.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 x x) 16/841)
0.2b	(.f64 (/.f64 (.f64 3 (-.f64 (*.f64 x x) 16/841)) (+.f64 x 4/29)) y)
0.6b	(.f64 3 (-.f64 (.f64 x x) 16/841))
13.2b	(/.f64 (.f64 3 (-.f64 (.f64 x x) 16/841)) (+.f64 x 4/29))

rewrite46.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`add-exp-log_binary64_22281` `add-sqr-sqrt_binary64_22265` `*-un-lft-identity_binary64_22243` `add-cbrt-cube_binary64_22279`
14×	`add-cube-cbrt_binary64_22278`
13×	`associate-l_binary64_22184`
9×	`cancel-sign-sub-inv_binary64_22209`
8×	`times-frac_binary64_22249` `pow1_binary64_22304`
7×	`associate-r_binary64_22183`
6×	`add-log-exp_binary64_22282` `cbrt-unprod_binary64_22276` `prod-exp_binary64_22292`
4×	`associate-r/_binary64_22185` `cbrt-undiv_binary64_22277` `distribute-rgt-in_binary64_22193` `distribute-lft-in_binary64_22192` `associate-/r/_binary64_22189` `div-exp_binary64_22294` `associate-/r_binary64_22187`
3×	`distribute-lft-out_binary64_22194` `flip--_binary64_22218` `flip3--_binary64_22247` `sub-neg_binary64_22236`
2×	`div-inv_binary64_22240` `associate-/l/_binary64_22190` `flip3-+_binary64_22246` `difference-of-squares_binary64_22212` `*-commutative_binary64_22174` `flip-+_binary64_22217` `pow-prod-down_binary64_22314` `unswap-sqr_binary64_22211`
1×	`associate-l/_binary64_22186` `clear-num_binary64_22242` `frac-2neg_binary64_22254` `diff-log_binary64_22335` `associate-/l_binary64_22188`

Counts

4 → 101

Calls

4 calls:

12.0ms	(.f64 (/.f64 (.f64 3 (-.f64 (*.f64 x x) 16/841)) (+.f64 x 4/29)) y)
12.0ms	(.f64 3 (-.f64 (.f64 x x) 16/841))
11.0ms	(/.f64 (.f64 3 (-.f64 (.f64 x x) 16/841)) (+.f64 x 4/29))
4.0ms	(-.f64 (*.f64 x x) 16/841)

series158.0ms (6.9%)

Counts

4 → 12

Calls

4 calls:

52.0ms	(/.f64 (.f64 3 (-.f64 (.f64 x x) 16/841)) (+.f64 x 4/29))
41.0ms	(.f64 (/.f64 (.f64 3 (-.f64 (*.f64 x x) 16/841)) (+.f64 x 4/29)) y)
34.0ms	(.f64 3 (-.f64 (.f64 x x) 16/841))
31.0ms	(-.f64 (*.f64 x x) 16/841)

simplify63.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

113 → 113

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	5535	1629

prune109.0ms (4.7%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	112	1	113
Fresh	1	3	4
Picked	0	1	1
Done	0	2	2
Total	113	7	120

Error

0.0b

Counts

120 → 7

Compiler

Compiled 2003 to 1333 computations (33.4% saved)

localize10.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(-.f64 (*.f64 x x) 16/841)
0.1b	(.f64 (/.f64 (-.f64 (.f64 x x) 16/841) (+.f64 x 4/29)) y)
0.3b	(.f64 (/.f64 3 1) (.f64 (/.f64 (-.f64 (*.f64 x x) 16/841) (+.f64 x 4/29)) y))
13.2b	(/.f64 (-.f64 (*.f64 x x) 16/841) (+.f64 x 4/29))

rewrite51.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Rules

50×	`*-un-lft-identity_binary64_22243`
47×	`add-sqr-sqrt_binary64_22265`
42×	`times-frac_binary64_22249`
41×	`add-exp-log_binary64_22281`
35×	`associate-l_binary64_22184`
32×	`add-cube-cbrt_binary64_22278` `add-cbrt-cube_binary64_22279`
17×	`prod-exp_binary64_22292`
12×	`cbrt-unprod_binary64_22276`
11×	`pow1_binary64_22304` `div-exp_binary64_22294`
10×	`difference-of-squares_binary64_22212`
9×	`distribute-lft-out_binary64_22194`
7×	`cbrt-undiv_binary64_22277`
6×	`add-log-exp_binary64_22282`
4×	`associate-r_binary64_22183` `associate-l/_binary64_22186` `associate-/r/_binary64_22189` `pow-prod-down_binary64_22314` `associate-/l_binary64_22188` `associate-/r*_binary64_22187`
3×	`div-inv_binary64_22240` `cancel-sign-sub-inv_binary64_22209` `1-exp_binary64_22287`
2×	`associate-/l/_binary64_22190` `flip--_binary64_22218` `flip3-+_binary64_22246` `flip3--_binary64_22247` `*-commutative_binary64_22174` `flip-+_binary64_22217` `unswap-sqr_binary64_22211`
1×	`frac-times_binary64_22253` `associate-*r/_binary64_22185` `div-sub_binary64_22248` `clear-num_binary64_22242` `frac-2neg_binary64_22254` `sub-neg_binary64_22236` `diff-log_binary64_22335`

Counts

4 → 139

Calls

4 calls:

15.0ms	(.f64 (/.f64 3 1) (.f64 (/.f64 (-.f64 (*.f64 x x) 16/841) (+.f64 x 4/29)) y))
12.0ms	(.f64 (/.f64 (-.f64 (.f64 x x) 16/841) (+.f64 x 4/29)) y)
9.0ms	(/.f64 (-.f64 (*.f64 x x) 16/841) (+.f64 x 4/29))
4.0ms	(-.f64 (*.f64 x x) 16/841)

series150.0ms (6.5%)

Counts

4 → 12

Calls

4 calls:

48.0ms	(/.f64 (-.f64 (*.f64 x x) 16/841) (+.f64 x 4/29))
42.0ms	(.f64 (/.f64 3 1) (.f64 (/.f64 (-.f64 (*.f64 x x) 16/841) (+.f64 x 4/29)) y))
37.0ms	(.f64 (/.f64 (-.f64 (.f64 x x) 16/841) (+.f64 x 4/29)) y)
23.0ms	(-.f64 (*.f64 x x) 16/841)

simplify103.0ms (4.5%)

Algorithm

1×	egg-herbie

Counts

151 → 151

Iterations

Useful iterations: 0 (72.0ms)

Iter	Nodes	Cost
0	4918	2648
1	4918	2648

prune166.0ms (7.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	149	2	151
Fresh	2	1	3
Picked	1	0	1
Done	1	2	3
Total	153	5	158

Error

Counts

158 → 5

Compiler

Compiled 3064 to 2138 computations (30.2% saved)

regimes190.0ms (8.2%)

Accuracy

Total 0.2b remaining (98.1%)

Threshold costs 0.2b (98.1%)

Compiler

Compiled 1691 to 1514 computations (10.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	20	10
1	20	10

end0.0ms (0%)

sample772.0ms (33.5%)

Algorithm

1×

intervals

Results

240.0ms	8000×	body	128	valid
6.0ms	67×	body	128	invalid

Compiler

Compiled 353 to 318 computations (9.9% saved)

Details

analyze48.0ms (2.1%)

sample14.0ms (0.6%)

simplify97.0ms (4.2%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite17.0ms (0.7%)

series46.0ms (2%)

simplify73.0ms (3.2%)

prune44.0ms (1.9%)

localize5.0ms (0.2%)

rewrite12.0ms (0.5%)

series26.0ms (1.1%)

simplify65.0ms (2.8%)

prune22.0ms (1%)

localize9.0ms (0.4%)

rewrite46.0ms (2%)

series158.0ms (6.9%)

simplify63.0ms (2.7%)

prune109.0ms (4.7%)

localize10.0ms (0.4%)

rewrite51.0ms (2.2%)

series150.0ms (6.5%)

simplify103.0ms (4.5%)

prune166.0ms (7.2%)

regimes190.0ms (8.2%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample772.0ms (33.5%)

Profiling