Details

analyze24.0ms (1.1%)

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
25%	74.9%	0.1%	4
37.5%	62.4%	0.1%	5
62.4%	37.5%	0.1%	6
87.4%	12.5%	0.1%	7
87.4%	12.5%	0.1%	8
93.7%	6.2%	0.1%	9
93.7%	6.2%	0.1%	10
96.8%	3.1%	0.1%	11
96.8%	3.1%	0.1%	12
98.3%	1.6%	0.1%	13
98.3%	1.6%	0.1%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample11.0ms (0.5%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify158.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	782	10
1	782	10

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

34×	`*-un-lft-identity_binary64_14059`
22×	`add-sqr-sqrt_binary64_14081`
20×	`times-frac_binary64_14065`
12×	`add-cube-cbrt_binary64_14094`
6×	`distribute-lft-out_binary64_14010`
5×	`associate-/r*_binary64_14003` `difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
4×	`associate-/l*_binary64_14004`
3×	`add-cbrt-cube_binary64_14095` `add-exp-log_binary64_14097`
2×	`associate-/l/_binary64_14006` `associate-/r/_binary64_14005`
1×	`frac-2neg_binary64_14070` `add-log-exp_binary64_14098` `flip--_binary64_14034` `flip-+_binary64_14033` `div-exp_binary64_14110` `div-inv_binary64_14056` `clear-num_binary64_14058` `cbrt-undiv_binary64_14093` `pow1_binary64_14120` `flip3-+_binary64_14062` `flip3--_binary64_14063`

Counts

1 → 45

Calls

1 calls:

8.0ms

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

series41.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

41.0ms

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

simplify66.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

48 → 48

Iterations

Useful iterations: 0 (54.0ms)

Iter	Nodes	Cost
0	5413	802

prune41.0ms (1.8%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	43	5	48
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	5	49

Error

0.0b

Counts

49 → 5

Compiler

Compiled 741 to 180 computations (75.7% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
0.0b	(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
0.0b	(/.f64 (+.f64 x y) (-.f64 x y))

rewrite40.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

93×	`*-un-lft-identity_binary64_14059`
61×	`add-sqr-sqrt_binary64_14081`
60×	`times-frac_binary64_14065`
52×	`exp-prod_binary64_14111`
35×	`add-cube-cbrt_binary64_14094`
27×	`log-pow_binary64_14148`
16×	`distribute-lft-out_binary64_14010`
13×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
6×	`associate-/r/_binary64_14005`
5×	`add-cbrt-cube_binary64_14095` `associate-/r*_binary64_14003` `add-exp-log_binary64_14097`
4×	`add-log-exp_binary64_14098` `pow1_binary64_14120` `associate-/l*_binary64_14004`
3×	`flip--_binary64_14034` `div-inv_binary64_14056` `log-prod_binary64_14145` `flip3--_binary64_14063`
2×	`associate-/l/_binary64_14006`
1×	`frac-2neg_binary64_14070` `flip-+_binary64_14033` `div-exp_binary64_14110` `rem-log-exp_binary64_14100` `clear-num_binary64_14058` `cbrt-undiv_binary64_14093` `rem-exp-log_binary64_14099` `flip3-+_binary64_14062`

Counts

3 → 117

Calls

3 calls:

12.0ms	(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
10.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
8.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

series150.0ms (6.7%)

Counts

3 → 9

Calls

3 calls:

63.0ms	(log.f64 (exp.f64 (/.f64 (+.f64 x y) (-.f64 x y))))
49.0ms	(exp.f64 (/.f64 (+.f64 x y) (-.f64 x y)))
37.0ms	(/.f64 (+.f64 x y) (-.f64 x y))

simplify79.0ms (3.5%)

Algorithm

1×	egg-herbie

Counts

126 → 126

Iterations

Useful iterations: 0 (57.0ms)

Iter	Nodes	Cost
0	4980	1783
1	4980	1783

prune82.0ms (3.7%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	126	0	126
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	126	5	131

Error

0.0b

Counts

131 → 5

Compiler

Compiled 2037 to 435 computations (78.6% saved)

localize6.0ms (0.2%)

Local error

Found 2 expressions with local error:

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

rewrite40.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

178×	`times-frac_binary64_14065`
174×	`*-un-lft-identity_binary64_14059`
122×	`add-sqr-sqrt_binary64_14081`
80×	`add-cube-cbrt_binary64_14094`
30×	`associate-/r*_binary64_14003`
26×	`distribute-lft-out_binary64_14010`
21×	`difference-of-squares_binary64_14028` `distribute-lft-out--_binary64_14011`
15×	`add-exp-log_binary64_14097`
11×	`associate-/r/_binary64_14005`
9×	`add-cbrt-cube_binary64_14095`
8×	`div-exp_binary64_14110` `associate-/l*_binary64_14004`
6×	`div-inv_binary64_14056`
5×	`flip-+_binary64_14033` `flip3-+_binary64_14062`
4×	`cbrt-undiv_binary64_14093`
3×	`pow1_binary64_14120`
2×	`frac-2neg_binary64_14070` `add-log-exp_binary64_14098` `associate-/l/_binary64_14006` `clear-num_binary64_14058` `rec-exp_binary64_14109` `1-exp_binary64_14103`
1×	`flip--_binary64_14034` `div-sub_binary64_14064` `pow-flip_binary64_14133` `inv-pow_binary64_14144` `flip3--_binary64_14063`

Counts

2 → 174

Calls

2 calls:

12.0ms	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
8.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

series79.0ms (3.5%)

Counts

2 → 6

Calls

2 calls:

40.0ms	(/.f64 1 (/.f64 (-.f64 x y) (+.f64 x y)))
39.0ms	(/.f64 (-.f64 x y) (+.f64 x y))

simplify94.0ms (4.2%)

Algorithm

1×	egg-herbie

Counts

180 → 180

Iterations

Useful iterations: 0 (55.0ms)

Iter	Nodes	Cost
0	5005	3649

prune119.0ms (5.3%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	178	2	180
Fresh	1	2	3
Picked	1	0	1
Done	1	0	1
Total	181	4	185

Error

0.0b

Counts

185 → 4

Compiler

Compiled 3070 to 772 computations (74.9% saved)

localize7.0ms (0.3%)

Local error

Found 4 expressions with local error:

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

rewrite88.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Rules

204×	`*-un-lft-identity_binary64_14059`
167×	`times-frac_binary64_14065`
122×	`add-sqr-sqrt_binary64_14081`
62×	`add-cube-cbrt_binary64_14094`
35×	`distribute-lft-out--_binary64_14011`
31×	`distribute-lft-out_binary64_14010`
30×	`associate-/r/_binary64_14005`
25×	`associate-/r*_binary64_14003`
20×	`difference-of-squares_binary64_14028`
18×	`cancel-sign-sub-inv_binary64_14025`
15×	`distribute-rgt-out--_binary64_14013`
14×	`div-inv_binary64_14056`
13×	`flip-+_binary64_14033` `flip3-+_binary64_14062`
12×	`add-exp-log_binary64_14097`
10×	`add-cbrt-cube_binary64_14095`
9×	`associate-/l*_binary64_14004`
6×	`add-log-exp_binary64_14098`
5×	`pow1_binary64_14120`
4×	`div-exp_binary64_14110`
3×	`frac-2neg_binary64_14070` `clear-num_binary64_14058` `cbrt-undiv_binary64_14093`
2×	`sub-div_binary64_14066` `flip--_binary64_14034` `frac-sub_binary64_14068` `flip3--_binary64_14063`
1×	`pow-flip_binary64_14133` `diff-log_binary64_14151` `rec-exp_binary64_14109` `sub-neg_binary64_14052` `inv-pow_binary64_14144` `1-exp_binary64_14103`

Counts

4 → 202

Calls

4 calls:

27.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
26.0ms	(/.f64 1 (-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))))
5.0ms	(/.f64 y (+.f64 x y))
5.0ms	(/.f64 x (+.f64 x y))

series166.0ms (7.4%)

Counts

4 → 12

Calls

4 calls:

63.0ms	(/.f64 1 (-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y))))
53.0ms	(-.f64 (/.f64 x (+.f64 x y)) (/.f64 y (+.f64 x y)))
28.0ms	(/.f64 y (+.f64 x y))
23.0ms	(/.f64 x (+.f64 x y))

simplify105.0ms (4.7%)

Algorithm

1×	egg-herbie

Counts

214 → 214

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5265	3759

prune140.0ms (6.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	214	0	214
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	214	4	218

Error

0.0b

Counts

218 → 4

Compiler

Compiled 3969 to 1132 computations (71.5% saved)

regimes92.0ms (4.1%)

Accuracy

Total 0.0b remaining (87.9%)

Threshold costs 0.0b (87.9%)

Compiler

Compiled 863 to 522 computations (39.5% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	19
1	27	19

end0.0ms (0%)

sample583.0ms (26%)

Algorithm

1×

intervals

Results

187.0ms

8000×

body

128

valid

Compiler

Compiled 280 to 169 computations (39.6% saved)

Details

analyze24.0ms (1.1%)

sample11.0ms (0.5%)

simplify158.0ms (7.1%)

prune2.0ms (0.1%)

localize4.0ms (0.2%)

rewrite11.0ms (0.5%)

series41.0ms (1.9%)

simplify66.0ms (2.9%)

prune41.0ms (1.8%)

localize7.0ms (0.3%)

rewrite40.0ms (1.8%)

series150.0ms (6.7%)

simplify79.0ms (3.5%)

prune82.0ms (3.7%)

localize6.0ms (0.2%)

rewrite40.0ms (1.8%)

series79.0ms (3.5%)

simplify94.0ms (4.2%)

prune119.0ms (5.3%)

localize7.0ms (0.3%)

rewrite88.0ms (3.9%)

series166.0ms (7.4%)

simplify105.0ms (4.7%)

prune140.0ms (6.2%)

regimes92.0ms (4.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample583.0ms (26%)

Profiling