Details

analyze69.0ms (3.8%)

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%	50%	12.6%	6
43.7%	40.6%	15.7%	7
56.2%	23.4%	20.4%	8
57.8%	21.1%	21.2%	9
64%	12.5%	23.5%	10
64.8%	10.7%	24.5%	11
67.9%	6.4%	25.7%	12
68.3%	5.4%	26.3%	13
69.9%	3.3%	26.9%	14

Compiler

Compiled 10 to 8 computations (20% saved)

sample14.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 19 to 17 computations (10.5% saved)

simplify202.0ms (11%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (21.0ms)

Iter	Nodes	Cost
0	346	10
1	346	10

prune4.0ms (0.2%)

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 → 2

Compiler

Compiled 39 to 32 computations (17.9% saved)

localize5.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite22.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

20×	`distribute-lft-in_binary64_16196` `distribute-rgt-in_binary64_16197`
18×	`cancel-sign-sub-inv_binary64_16213`
15×	`add-sqr-sqrt_binary64_16269`
13×	`*-un-lft-identity_binary64_16247`
11×	`add-cube-cbrt_binary64_16282`
9×	`pow1_binary64_16308` `add-exp-log_binary64_16285` `add-cbrt-cube_binary64_16283`
6×	`sub-neg_binary64_16240` `associate-r/_binary64_16189` `associate-l_binary64_16188` `associate-r*_binary64_16187`
4×	`pow-prod-down_binary64_16318` `cbrt-unprod_binary64_16280` `prod-exp_binary64_16296`
2×	`add-log-exp_binary64_16286` `flip3--_binary64_16251` `flip--_binary64_16222` `*-commutative_binary64_16178`
1×	`difference-of-squares_binary64_16216` `unswap-sqr_binary64_16215` `distribute-lft-out--_binary64_16199`

Counts

2 → 66

Calls

2 calls:

9.0ms	(.f64 2 (.f64 x (-.f64 x y)))
8.0ms	(*.f64 x (-.f64 x y))

series113.0ms (6.1%)

Counts

2 → 6

Calls

2 calls:

61.0ms	(.f64 2 (.f64 x (-.f64 x y)))
52.0ms	(*.f64 x (-.f64 x y))

simplify59.0ms (3.2%)

Algorithm

1×	egg-herbie

Counts

72 → 72

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4926	807
1	4926	807

prune78.0ms (4.2%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	68	4	72
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	70	4	74

Merged error: 0b

Counts

74 → 4

Compiler

Compiled 1287 to 687 computations (46.6% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(.f64 (.f64 x 2) (-.f64 x y))

rewrite13.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`pow1_binary64_16308` `add-sqr-sqrt_binary64_16269` `add-exp-log_binary64_16285` `*-un-lft-identity_binary64_16247` `add-cbrt-cube_binary64_16283` `cancel-sign-sub-inv_binary64_16213`
5×	`associate-r_binary64_16187`
4×	`distribute-lft-in_binary64_16196` `add-cube-cbrt_binary64_16282` `distribute-rgt-in_binary64_16197`
3×	`pow-prod-down_binary64_16318` `cbrt-unprod_binary64_16280` `prod-exp_binary64_16296`
2×	`sub-neg_binary64_16240` `associate-*r/_binary64_16189`
1×	`add-log-exp_binary64_16286` `flip3--_binary64_16251` `difference-of-squares_binary64_16216` `flip--_binary64_16222` `-commutative_binary64_16178` `associate-l*_binary64_16188` `distribute-lft-out--_binary64_16199`

Counts

1 → 30

Calls

1 calls:

11.0ms

(*.f64 (*.f64 x 2) (-.f64 x y))

series65.0ms (3.5%)

Counts

1 → 3

Calls

1 calls:

65.0ms

(*.f64 (*.f64 x 2) (-.f64 x y))

simplify43.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	4919	404
1	4919	404

prune20.0ms (1.1%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	33	0	33
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	33	4	37

Merged error: 0b

Counts

37 → 4

Compiler

Compiled 413 to 145 computations (64.9% saved)

localize7.0ms (0.4%)

Local error

Found 2 expressions with local error:

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

rewrite17.0ms (0.9%)

Algorithm

1×	rewrite-expression-head

Rules

7×	`pow1_binary64_16308` `add-exp-log_binary64_16285` `add-cbrt-cube_binary64_16283`
4×	`add-log-exp_binary64_16286` `add-sqr-sqrt_binary64_16269`
3×	`pow-prod-down_binary64_16318` `cbrt-unprod_binary64_16280` `prod-exp_binary64_16296` `-un-lft-identity_binary64_16247` `add-cube-cbrt_binary64_16282` `associate-r*_binary64_16187`
1×	`flip3-+_binary64_16250` `sum-log_binary64_16338` `unswap-sqr_binary64_16215` `-commutative_binary64_16178` `associate-l*_binary64_16188` `flip-+_binary64_16221` `+-commutative_binary64_16177`

Counts

2 → 30

Calls

2 calls:

8.0ms	(.f64 (.f64 x x) 2)
7.0ms	(+.f64 (.f64 (.f64 x x) 2) (.f64 x (.f64 y -2)))

series101.0ms (5.5%)

Counts

2 → 6

Calls

2 calls:

65.0ms	(+.f64 (.f64 (.f64 x x) 2) (.f64 x (.f64 y -2)))
36.0ms	(.f64 (.f64 x x) 2)

simplify63.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5008	398

prune30.0ms (1.7%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	36	0	36
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	36	4	40

Merged error: 0b

Counts

40 → 4

Compiler

Compiled 526 to 323 computations (38.6% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(.f64 2 (.f64 (*.f64 x (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y))))
0.1b	(*.f64 x (sqrt.f64 (-.f64 x y)))
0.2b	(.f64 (.f64 x (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))

rewrite47.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`associate-*r/_binary64_16189` `sqrt-div_binary64_16264`
19×	`pow1_binary64_16308` `add-exp-log_binary64_16285` `add-cbrt-cube_binary64_16283`
17×	`add-sqr-sqrt_binary64_16269` `associate-r_binary64_16187`
13×	`flip3--_binary64_16251` `flip--_binary64_16222` `*-un-lft-identity_binary64_16247`
11×	`sqrt-prod_binary64_16263`
10×	`pow-prod-down_binary64_16318` `cbrt-unprod_binary64_16280` `prod-exp_binary64_16296`
9×	`add-cube-cbrt_binary64_16282`
8×	`frac-times_binary64_16257`
7×	`associate-l_binary64_16188`
4×	`associate-*l/_binary64_16190`
3×	`add-log-exp_binary64_16286` `*-commutative_binary64_16178`
2×	`difference-of-squares_binary64_16216` `unswap-sqr_binary64_16215` `distribute-lft-out--_binary64_16199`

Counts

3 → 86

Calls

3 calls:

16.0ms	(.f64 2 (.f64 (*.f64 x (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y))))
14.0ms	(.f64 (.f64 x (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))
8.0ms	(*.f64 x (sqrt.f64 (-.f64 x y)))

series225.0ms (12.3%)

Counts

3 → 9

Calls

3 calls:

104.0ms	(*.f64 x (sqrt.f64 (-.f64 x y)))
63.0ms	(.f64 2 (.f64 (*.f64 x (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y))))
58.0ms	(.f64 (.f64 x (sqrt.f64 (-.f64 x y))) (sqrt.f64 (-.f64 x y)))

simplify66.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5240	1389

prune66.0ms (3.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	95	4	99

Merged error: 0b

Counts

99 → 4

Compiler

Compiled 1615 to 510 computations (68.4% saved)

regimes23.0ms (1.3%)

Compiler: Compiled 112 to 86 computations (23.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	10
1	19	10

end0.0ms (0%)

sample470.0ms (25.6%)

Algorithm

1×

intervals

Results

221.0ms	8000×	body	128	valid
5.0ms	166×	body	128	invalid

Compiler

Compiled 78 to 61 computations (21.8% saved)

Details

analyze69.0ms (3.8%)

sample14.0ms (0.7%)

simplify202.0ms (11%)

prune4.0ms (0.2%)

localize5.0ms (0.3%)

rewrite22.0ms (1.2%)

series113.0ms (6.1%)

simplify59.0ms (3.2%)

prune78.0ms (4.2%)

localize5.0ms (0.3%)

rewrite13.0ms (0.7%)

series65.0ms (3.5%)

simplify43.0ms (2.3%)

prune20.0ms (1.1%)

localize7.0ms (0.4%)

rewrite17.0ms (0.9%)

series101.0ms (5.5%)

simplify63.0ms (3.4%)

prune30.0ms (1.7%)

localize7.0ms (0.4%)

rewrite47.0ms (2.6%)

series225.0ms (12.3%)

simplify66.0ms (3.6%)

prune66.0ms (3.6%)

regimes23.0ms (1.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample470.0ms (25.6%)

Profiling