Details

analyze77.0ms (3.2%)

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 (0.5%)

Algorithm

1×

intervals

Results

5.0ms	247×	body	128	valid
0.0ms	5×	body	1024	valid
0.0ms	3×	body	512	valid
0.0ms	1×	body	2048	valid

Compiler

Compiled 11 to 13 computations (-18.2% saved)

simplify172.0ms (7.1%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

9×	`add-sqr-sqrt_binary64_11453`
7×	`*-un-lft-identity_binary64_11431`
6×	`cancel-sign-sub-inv_binary64_11397`
5×	`associate-r_binary64_11371` `add-cube-cbrt_binary64_11466`
4×	`distribute-lft-in_binary64_11380` `distribute-rgt-in_binary64_11381`
3×	`add-cbrt-cube_binary64_11467` `add-exp-log_binary64_11469` `associate-l_binary64_11372` `pow1_binary64_11492`
2×	`associate-*r/_binary64_11373` `sub-neg_binary64_11424`
1×	`cbrt-unprod_binary64_11464` `difference-of-squares_binary64_11400` `unswap-sqr_binary64_11399` `*-commutative_binary64_11362` `prod-exp_binary64_11480` `distribute-lft-out--_binary64_11383` `flip--_binary64_11406` `pow-prod-down_binary64_11502` `add-log-exp_binary64_11470` `flip3--_binary64_11435`

Counts

1 → 30

Calls

1 calls:

8.0ms

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

series40.0ms (1.6%)

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify55.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

33 → 33

Iterations

Useful iterations: 0 (47.0ms)

Iter	Nodes	Cost
0	5023	298

prune55.0ms (2.2%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	31	2	33
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	3	34

Merged error: 0.0b

Counts

34 → 3

Compiler

Compiled 739 to 522 computations (29.4% saved)

localize7.0ms (0.3%)

Local error

Found 2 expressions with local error:

0.1b	(*.f64 (-.f64 x y) (cbrt.f64 200))
0.4b	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))

rewrite26.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-exp-log_binary64_11469` `pow1_binary64_11492`
11×	`add-sqr-sqrt_binary64_11453`
9×	`cbrt-unprod_binary64_11464` `prod-exp_binary64_11480` `add-cbrt-cube_binary64_11467` `pow-prod-down_binary64_11502`
7×	`associate-r_binary64_11371` `*-un-lft-identity_binary64_11431`
6×	`associate-l_binary64_11372`
5×	`add-cube-cbrt_binary64_11466`
4×	`cbrt-prod_binary64_11462` `associate-*l/_binary64_11374`
2×	`associate-r/_binary64_11373` `unswap-sqr_binary64_11399` `-commutative_binary64_11362` `flip--_binary64_11406` `add-log-exp_binary64_11470` `flip3--_binary64_11435`
1×	`difference-of-squares_binary64_11400` `distribute-lft-out--_binary64_11383`

Counts

2 → 50

Calls

2 calls:

13.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))
9.0ms	(*.f64 (-.f64 x y) (cbrt.f64 200))

series166.0ms (6.8%)

Counts

2 → 6

Calls

2 calls:

106.0ms	(.f64 (.f64 (cbrt.f64 200) (cbrt.f64 200)) (*.f64 (-.f64 x y) (cbrt.f64 200)))
59.0ms	(*.f64 (-.f64 x y) (cbrt.f64 200))

simplify50.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5098	604

prune54.0ms (2.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	55	1	56
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	55	4	59

Merged error: 0b

Counts

59 → 4

Compiler

Compiled 904 to 657 computations (27.3% saved)

localize6.0ms (0.2%)

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)))

rewrite26.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

13×	`add-sqr-sqrt_binary64_11453`
11×	`associate-l_binary64_11372`
9×	`add-cbrt-cube_binary64_11467` `*-un-lft-identity_binary64_11431` `add-exp-log_binary64_11469` `pow1_binary64_11492`
7×	`associate-r_binary64_11371` `add-cube-cbrt_binary64_11466` `sqrt-prod_binary64_11447`
4×	`cbrt-unprod_binary64_11464` `associate-*l/_binary64_11374` `prod-exp_binary64_11480` `pow-prod-down_binary64_11502`
2×	`associate-r/_binary64_11373` `unswap-sqr_binary64_11399` `-commutative_binary64_11362` `flip--_binary64_11406` `add-log-exp_binary64_11470` `flip3--_binary64_11435`
1×	`difference-of-squares_binary64_11400` `distribute-lft-out--_binary64_11383`

Counts

2 → 49

Calls

2 calls:

11.0ms	(.f64 (sqrt.f64 200) (.f64 (-.f64 x y) (sqrt.f64 200)))
11.0ms	(*.f64 (-.f64 x y) (sqrt.f64 200))

series171.0ms (7%)

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))

simplify52.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

55 → 55

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5372	597

prune41.0ms (1.7%)

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 683 to 451 computations (34% saved)

localize11.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.1b

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

0.2b

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

0.4b

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

rewrite51.0ms (2.1%)

Algorithm

1×	rewrite-expression-head

Rules

31×	`add-exp-log_binary64_11469` `pow1_binary64_11492`
19×	`associate-r_binary64_11371` `cbrt-unprod_binary64_11464` `prod-exp_binary64_11480` `pow-prod-down_binary64_11502`
18×	`add-sqr-sqrt_binary64_11453`
15×	`add-cbrt-cube_binary64_11467`
14×	`cbrt-prod_binary64_11462`
12×	`*-un-lft-identity_binary64_11431`
10×	`associate-*l/_binary64_11374` `add-cube-cbrt_binary64_11466`
7×	`associate-l_binary64_11372` `sqrt-prod_binary64_11447`
3×	`unswap-sqr_binary64_11399` `*-commutative_binary64_11362` `flip--_binary64_11406` `add-log-exp_binary64_11470` `flip3--_binary64_11435`
2×	`associate-*r/_binary64_11373`
1×	`difference-of-squares_binary64_11400` `distribute-lft-out--_binary64_11383`

Counts

3 → 86

Calls

3 calls:

18.0ms

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

15.0ms

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

10.0ms

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

series718.0ms (29.6%)

Counts

3 → 9

Calls

3 calls:

320.0ms

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

232.0ms

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

167.0ms

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

simplify59.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

95 → 95

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5092	1438

prune117.0ms (4.8%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	95	0	95
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	95	4	99

Merged error: 0b

Counts

99 → 4

Compiler

Compiled 1874 to 1491 computations (20.4% saved)

regimes44.0ms (1.8%)

Compiler: Compiled 192 to 196 computations (-2.1% 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%)

sample405.0ms (16.6%)

Algorithm

1×

intervals

Results

160.0ms	7870×	body	128	valid
3.0ms	53×	body	1024	valid
2.0ms	30×	body	2048	valid
2.0ms	38×	body	512	valid
1.0ms	60×	body	128	invalid
0.0ms	9×	body	256	valid

Compiler

Compiled 54 to 56 computations (-3.7% saved)

Details

analyze77.0ms (3.2%)

sample11.0ms (0.5%)

simplify172.0ms (7.1%)

prune2.0ms (0.1%)

localize4.0ms (0.1%)

rewrite10.0ms (0.4%)

series40.0ms (1.6%)

simplify55.0ms (2.3%)

prune55.0ms (2.2%)

localize7.0ms (0.3%)

rewrite26.0ms (1.1%)

series166.0ms (6.8%)

simplify50.0ms (2.1%)

prune54.0ms (2.2%)

localize6.0ms (0.2%)

rewrite26.0ms (1.1%)

series171.0ms (7%)

simplify52.0ms (2.1%)

prune41.0ms (1.7%)

localize11.0ms (0.4%)

rewrite51.0ms (2.1%)

series718.0ms (29.6%)

simplify59.0ms (2.4%)

prune117.0ms (4.8%)

regimes44.0ms (1.8%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample405.0ms (16.6%)

Profiling