Details

analyze72.0ms (3.9%)

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)

sample11.0ms (0.6%)

Algorithm

1×

intervals

Results

5.0ms	253×	body	128	valid
0.0ms	1×	body	2048	valid
0.0ms	1×	body	1024	valid
0.0ms	2×	body	128	invalid
0.0ms	1×	body	256	valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify167.0ms (9.1%)

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)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 500 (-.f64 x y))

rewrite14.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_10421`
7×	`*-un-lft-identity_binary64_10399`
6×	`cancel-sign-sub-inv_binary64_10365`
5×	`add-cube-cbrt_binary64_10434` `associate-r_binary64_10339`
4×	`distribute-rgt-in_binary64_10349` `distribute-lft-in_binary64_10348`
3×	`add-exp-log_binary64_10437` `pow1_binary64_10460` `add-cbrt-cube_binary64_10435` `associate-l_binary64_10340`
2×	`associate-*r/_binary64_10341` `sub-neg_binary64_10392`
1×	`*-commutative_binary64_10330` `add-log-exp_binary64_10438` `flip3--_binary64_10403` `unswap-sqr_binary64_10367` `cbrt-unprod_binary64_10432` `prod-exp_binary64_10448` `difference-of-squares_binary64_10368` `pow-prod-down_binary64_10470` `flip--_binary64_10374` `distribute-lft-out--_binary64_10351`

Counts

1 → 30

Calls

1 calls:

12.0ms

(*.f64 500 (-.f64 x y))

series40.0ms (2.2%)

Counts

1 → 3

Calls

1 calls:

40.0ms

(*.f64 500 (-.f64 x y))

simplify56.0ms (3%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5023	298

prune27.0ms (1.5%)

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: 0.0b

Counts

34 → 4

Compiler

Compiled 394 to 258 computations (34.5% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (.f64 500 x) (.f64 y -500))

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_10438`
1×	`add-exp-log_binary64_10437` `pow1_binary64_10460` `add-cube-cbrt_binary64_10434` `add-cbrt-cube_binary64_10435` `sum-log_binary64_10490` `flip3-+_binary64_10402` `add-sqr-sqrt_binary64_10421` `flip-+_binary64_10373` `+-commutative_binary64_10329` `*-un-lft-identity_binary64_10399`

Counts

1 → 11

Calls

1 calls:

4.0ms

(+.f64 (*.f64 500 x) (*.f64 y -500))

series52.0ms (2.8%)

Counts

1 → 3

Calls

1 calls:

52.0ms

(+.f64 (*.f64 500 x) (*.f64 y -500))

simplify64.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4895	159
1	4895	159

prune10.0ms (0.6%)

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: 0.0b

Counts

18 → 4

Compiler

Compiled 162 to 106 computations (34.6% saved)

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 500 (-.f64 x y))
0.0b	(sqrt.f64 (*.f64 500 (-.f64 x y)))
0.0b	(sqrt.f64 (*.f64 500 (-.f64 x y)))
0.3b	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))

rewrite43.0ms (2.3%)

Algorithm

1×	rewrite-expression-head

Rules

61×	`pow1_binary64_10460`
32×	`sqrt-pow1_binary64_10417`
23×	`pow-prod-down_binary64_10470`
20×	`associate-*r/_binary64_10341`
18×	`add-sqr-sqrt_binary64_10421`
16×	`sqrt-div_binary64_10416`
14×	`*-un-lft-identity_binary64_10399`
12×	`add-cube-cbrt_binary64_10434` `pow1/2_binary64_10479`
10×	`pow-prod-up_binary64_10469`
9×	`flip3--_binary64_10403` `associate-r_binary64_10339` `flip--_binary64_10374`
8×	`add-exp-log_binary64_10437` `add-cbrt-cube_binary64_10435`
7×	`associate-l_binary64_10340`
6×	`cancel-sign-sub-inv_binary64_10365` `pow-sqr_binary64_10372` `sqrt-prod_binary64_10415`
4×	`frac-times_binary64_10409` `add-log-exp_binary64_10438` `distribute-rgt-in_binary64_10349` `distribute-lft-in_binary64_10348` `swap-sqr_binary64_10366`
2×	`sub-neg_binary64_10392` `associate-l/_binary64_10342` `-commutative_binary64_10330` `unswap-sqr_binary64_10367` `cbrt-unprod_binary64_10432` `prod-exp_binary64_10448`
1×	`rem-square-sqrt_binary64_10411` `difference-of-squares_binary64_10368` `pow-plus_binary64_10462` `sqrt-unprod_binary64_10419` `pow2_binary64_10480` `distribute-lft-out--_binary64_10351`

Counts

4 → 113

Calls

4 calls:

15.0ms	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))
8.0ms	(*.f64 500 (-.f64 x y))
6.0ms	(sqrt.f64 (*.f64 500 (-.f64 x y)))
5.0ms	(sqrt.f64 (*.f64 500 (-.f64 x y)))

series369.0ms (20%)

Counts

4 → 12

Calls

4 calls:

112.0ms	(sqrt.f64 (*.f64 500 (-.f64 x y)))
111.0ms	(.f64 (sqrt.f64 (.f64 500 (-.f64 x y))) (sqrt.f64 (*.f64 500 (-.f64 x y))))
108.0ms	(sqrt.f64 (*.f64 500 (-.f64 x y)))
39.0ms	(*.f64 500 (-.f64 x y))

simplify46.0ms (2.5%)

Algorithm

1×	egg-herbie

Counts

125 → 125

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	4920	1478
1	4920	1478

prune104.0ms (5.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	125	0	125
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	125	4	129

Merged error: 0.0b

Counts

129 → 4

Compiler

Compiled 1983 to 1145 computations (42.3% saved)

localize7.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(*.f64 500 (-.f64 x y))
0.2b	(pow.f64 (*.f64 500 (-.f64 x y)) 3)
39.3b	(cbrt.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3))

rewrite22.0ms (1.2%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_10421`
11×	`*-un-lft-identity_binary64_10399`
9×	`add-cube-cbrt_binary64_10434`
8×	`add-exp-log_binary64_10437` `cbrt-prod_binary64_10430` `pow1_binary64_10460` `add-cbrt-cube_binary64_10435`
6×	`associate-*r/_binary64_10341` `cancel-sign-sub-inv_binary64_10365`
5×	`associate-r_binary64_10339`
4×	`distribute-rgt-in_binary64_10349` `cube-div_binary64_10428` `distribute-lft-in_binary64_10348`
3×	`add-log-exp_binary64_10438` `flip3--_binary64_10403` `pow-unpow_binary64_10476` `associate-l_binary64_10340` `flip--_binary64_10374`
2×	`cube-mult_binary64_10429` `sub-neg_binary64_10392` `pow-exp_binary64_10467` `unpow3_binary64_10465` `cube-prod_binary64_10427` `cbrt-unprod_binary64_10432` `prod-exp_binary64_10448` `pow-prod-down_binary64_10470` `unpow-prod-down_binary64_10478` `cbrt-div_binary64_10431` `pow-pow_binary64_10471` `sqr-pow_binary64_10371` `rem-cube-cbrt_binary64_10422`
1×	`rem-cbrt-cube_binary64_10423` `*-commutative_binary64_10330` `pow-to-exp_binary64_10468` `unswap-sqr_binary64_10367` `pow1/3_binary64_10481` `difference-of-squares_binary64_10368` `distribute-lft-out--_binary64_10351`

Counts

3 → 73

Calls

3 calls:

8.0ms	(*.f64 500 (-.f64 x y))
7.0ms	(pow.f64 (*.f64 500 (-.f64 x y)) 3)
3.0ms	(cbrt.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3))

series170.0ms (9.2%)

Counts

3 → 9

Calls

3 calls:

74.0ms	(cbrt.f64 (pow.f64 (*.f64 500 (-.f64 x y)) 3))
59.0ms	(pow.f64 (*.f64 500 (-.f64 x y)) 3)
37.0ms	(*.f64 500 (-.f64 x y))

simplify68.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

82 → 82

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5159	902

prune58.0ms (3.1%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	82	0	82
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	82	4	86

Merged error: 0.0b

Counts

86 → 4

Compiler

Compiled 977 to 611 computations (37.5% saved)

regimes60.0ms (3.3%)

Compiler: Compiled 220 to 206 computations (6.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

end0.0ms (0%)

sample366.0ms (19.8%)

Algorithm

1×

intervals

Results

147.0ms	7970×	body	128	valid
1.0ms	74×	body	128	invalid
1.0ms	13×	body	2048	valid
1.0ms	11×	body	1024	valid
0.0ms	4×	body	512	valid
0.0ms	2×	body	256	valid

Compiler

Compiled 46 to 45 computations (2.2% saved)

Details

analyze72.0ms (3.9%)

sample11.0ms (0.6%)

simplify167.0ms (9.1%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite14.0ms (0.8%)

series40.0ms (2.2%)

simplify56.0ms (3%)

prune27.0ms (1.5%)

localize5.0ms (0.3%)

rewrite5.0ms (0.3%)

series52.0ms (2.8%)

simplify64.0ms (3.5%)

prune10.0ms (0.6%)

localize6.0ms (0.3%)

rewrite43.0ms (2.3%)

series369.0ms (20%)

simplify46.0ms (2.5%)

prune104.0ms (5.6%)

localize7.0ms (0.4%)

rewrite22.0ms (1.2%)

series170.0ms (9.2%)

simplify68.0ms (3.7%)

prune58.0ms (3.1%)

regimes60.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample366.0ms (19.8%)

Profiling