Details

analyze463.0ms (9%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	4754	20
1	4754	20
0	2	2
1	2	2

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
0%	99.9%	0.1%	4
25%	74.9%	0.1%	5
25%	74.9%	0.1%	5
25%	74.9%	0.1%	6
25%	74.9%	0.1%	6
56.2%	43.7%	0.1%	7
56.2%	43.7%	0.1%	7
56.2%	43.7%	0.1%	8
56.2%	43.7%	0.1%	8
76.5%	23.4%	0.1%	9
76.5%	23.4%	0.1%	9
76.5%	23.4%	0.1%	10
76.5%	23.4%	0.1%	10
87.8%	12.1%	0.1%	11
87.8%	12.1%	0.1%	11
87.8%	12.1%	0.1%	12
87.8%	12.1%	0.1%	12
93.8%	6.1%	0.1%	13
93.8%	6.1%	0.1%	13
93.8%	6.1%	0.1%	14
93.8%	6.1%	0.1%	14

Compiler

Compiled 20 to 16 computations (20% saved)

sample98.0ms (1.9%)

Algorithm

2×

intervals

Results

13.0ms	512×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 2599 to 2597 computations (0.1% saved)

simplify147.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (141.0ms)

Iter	Nodes	Cost
0	5248	10

prune4.0ms (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

Error

0.0b

Counts

2 → 2

Compiler

Compiled 23 to 21 computations (8.7% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

0.0b	(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

rewrite31.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

7×	`*-un-lft-identity_binary64_14741`
3×	`add-log-exp_binary64_14780`
2×	`times-frac_binary64_14747` `distribute-lft-out_binary64_14692`
1×	`sum-log_binary64_14832` `pow1_binary64_14802` `add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777` `add-cube-cbrt_binary64_14776` `add-sqr-sqrt_binary64_14763` `frac-add_binary64_14749` `flip3-+_binary64_14744` `flip-+_binary64_14715` `+-commutative_binary64_14671`

Counts

1 → 14

Calls

1 calls:

12.0ms

(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

Compiler

Compiled 209 to 161 computations (23% saved)

series175.0ms (3.4%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

167.0ms

(+.f64 (/.f64 1/2 y) (/.f64 -1/2 x))

Compiler

Compiled 234 to 224 computations (4.3% saved)

simplify81.0ms (1.6%)

Algorithm

1×	egg-herbie

Counts

26 → 26

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4854	293
1	4854	293

prune25.0ms (0.5%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	23	3	26
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	23	5	28

Error

0.0b

Counts

28 → 5

Compiler

Compiled 313 to 239 computations (23.6% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(*.f64 (cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
0.6b	(cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
0.6b	(cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
0.6b	(cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))

rewrite542.0ms (10.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

121×	`add-sqr-sqrt_binary64_14763`
92×	`cbrt-prod_binary64_14772`
91×	`*-un-lft-identity_binary64_14741`
70×	`times-frac_binary64_14747`
37×	`distribute-lft-out--_binary64_14693`
33×	`cbrt-div_binary64_14773`
29×	`add-cube-cbrt_binary64_14776`
28×	`difference-of-squares_binary64_14710`
17×	`swap-sqr_binary64_14708`
15×	`associate-l_binary64_14682` `associate-r_binary64_14681`
14×	`div-inv_binary64_14738`
11×	`pow1_binary64_14802` `frac-sub_binary64_14750` `flip3--_binary64_14745` `flip--_binary64_14716`
9×	`pow1/3_binary64_14823` `frac-times_binary64_14751`
6×	`add-exp-log_binary64_14779`
4×	`add-log-exp_binary64_14780` `add-cbrt-cube_binary64_14777` `unswap-sqr_binary64_14709`
3×	`associate-l/_binary64_14684` `associate-r/_binary64_14683`
2×	`pow-prod-down_binary64_14812` `pow-prod-up_binary64_14811` `pow-sqr_binary64_14714`
1×	`pow2_binary64_14822` `pow-plus_binary64_14804` `prod-exp_binary64_14790` `cbrt-unprod_binary64_14774` `*-commutative_binary64_14672`

Counts

4 → 153

Calls

4 calls:

36.0ms	(*.f64 (cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
16.0ms	(cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
13.0ms	(cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
13.0ms	(cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))

Compiler

Compiled 5897 to 4599 computations (22% saved)

series848.0ms (16.4%)

Error

0.0b

Counts

4 → 42

Calls

4 calls:

240.0ms	(*.f64 (cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))) (cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x))))
189.0ms	(cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
172.0ms	(cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))
171.0ms	(cbrt.f64 (-.f64 (/.f64 1/2 y) (/.f64 1/2 x)))

Compiler

Compiled 3623 to 3064 computations (15.4% saved)

simplify92.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

195 → 195

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4919	4711
1	4919	4711

prune442.0ms (8.6%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	194	1	195
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	194	6	200

Error

Counts

200 → 6

Compiler

Compiled 6427 to 4923 computations (23.4% saved)

localize20.0ms (0.4%)

Local error

Found 4 expressions with local error:

1.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
1.0b	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
1.0b	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
1.0b	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))

rewrite394.0ms (7.6%)

Algorithm

1×	rewrite-expression-head

Error

Rules

36×	`add-sqr-sqrt_binary64_14763`
34×	`cbrt-prod_binary64_14772`
20×	`add-cube-cbrt_binary64_14776` `*-un-lft-identity_binary64_14741`
18×	`pow1_binary64_14802`
14×	`pow1/3_binary64_14823`
12×	`swap-sqr_binary64_14708` `associate-l_binary64_14682` `associate-r_binary64_14681`
8×	`add-exp-log_binary64_14779` `unswap-sqr_binary64_14709`
4×	`add-log-exp_binary64_14780` `add-cbrt-cube_binary64_14777` `pow-prod-down_binary64_14812` `pow-prod-up_binary64_14811` `pow-sqr_binary64_14714`
2×	`pow2_binary64_14822` `pow-plus_binary64_14804` `prod-exp_binary64_14790` `cbrt-unprod_binary64_14774` `*-commutative_binary64_14672`

Counts

4 → 98

Calls

4 calls:

6.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
6.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
4.0ms	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
4.0ms	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))

Compiler

Compiled 4850 to 4264 computations (12.1% saved)

series1.0ms (0%)

Error

Counts

4 → 0

Calls

4 calls:

0.0ms	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
0.0ms	(cbrt.f64 (*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2)))
0.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))
0.0ms	(*.f64 (cbrt.f64 1/2) (cbrt.f64 1/2))

Compiler

Compiled 0 to 0 computations (0% saved)

simplify73.0ms (1.4%)

Algorithm

1×	egg-herbie

Counts

98 → 98

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4836	824
1	4836	824

prune351.0ms (6.8%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	98	0	98
Fresh	0	3	3
Picked	0	1	1
Done	0	2	2
Total	98	6	104

Error

Counts

104 → 6

Compiler

Compiled 4629 to 4035 computations (12.8% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

15.8b

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

rewrite41.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-exp-log_binary64_14779` `add-cbrt-cube_binary64_14777`
7×	`add-sqr-sqrt_binary64_14763` `*-un-lft-identity_binary64_14741`
5×	`times-frac_binary64_14747` `associate-/l*_binary64_14686`
3×	`prod-exp_binary64_14790` `div-exp_binary64_14792` `add-cube-cbrt_binary64_14776` `cbrt-undiv_binary64_14775` `cbrt-unprod_binary64_14774`
2×	`difference-of-squares_binary64_14710` `distribute-lft-out--_binary64_14693` `associate-/l/_binary64_14688`
1×	`pow1_binary64_14802` `add-log-exp_binary64_14780` `frac-2neg_binary64_14752` `div-sub_binary64_14746` `clear-num_binary64_14740` `div-inv_binary64_14738` `flip3--_binary64_14745` `flip--_binary64_14716` `associate-/r*_binary64_14685`

Counts

1 → 30

Calls

1 calls:

9.0ms

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

Compiler

Compiled 503 to 241 computations (52.1% saved)

series198.0ms (3.8%)

Error

Counts

1 → 12

Calls

1 calls:

191.0ms

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

Compiler

Compiled 234 to 224 computations (4.3% saved)

simplify45.0ms (0.9%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5374	514

prune31.0ms (0.6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	2	0	2
Picked	1	0	1
Done	1	2	3
Total	45	3	48

Error

Counts

48 → 3

Compiler

Compiled 440 to 253 computations (42.5% saved)

regimes138.0ms (2.7%)

Accuracy

Total 0.0b remaining (93.3%)

Threshold costs 0.0b (93.3%)

Compiler

Compiled 1279 to 1123 computations (12.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	9	10
1	9	10

end0.0ms (0%)

sample899.0ms (17.4%)

Algorithm

1×

intervals

Results

223.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 443 to 391 computations (11.7% saved)

Details

analyze463.0ms (9%)

sample98.0ms (1.9%)

simplify147.0ms (2.8%)

prune4.0ms (0.1%)

localize5.0ms (0.1%)

rewrite31.0ms (0.6%)

series175.0ms (3.4%)

simplify81.0ms (1.6%)

prune25.0ms (0.5%)

localize9.0ms (0.2%)

rewrite542.0ms (10.5%)

series848.0ms (16.4%)

simplify92.0ms (1.8%)

prune442.0ms (8.6%)

localize20.0ms (0.4%)

rewrite394.0ms (7.6%)

series1.0ms (0%)

simplify73.0ms (1.4%)

prune351.0ms (6.8%)

localize6.0ms (0.1%)

rewrite41.0ms (0.8%)

series198.0ms (3.8%)

simplify45.0ms (0.9%)

prune31.0ms (0.6%)

regimes138.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0%)

end0.0ms (0%)

sample899.0ms (17.4%)

Profiling