Details

analyze391.0ms (8.8%)

Algorithm

2×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	37	26
1	37	26
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

Symmetry

(sort x y)

Compiler

Compiled 20 to 16 computations (20% saved)

sample116.0ms (2.6%)

Algorithm

2×

intervals

Results

14.0ms	512×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 2599 to 2597 computations (0.1% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	37	13
1	37	13

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	1	0	1
Fresh	0	1	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Error

16.3b

Counts

2 → 1

Compiler

Compiled 18 to 14 computations (22.2% saved)

localize6.0ms (0.1%)

Local error

Found 1 expressions with local error:

15.8b

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

rewrite45.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

10×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
7×	`*-un-lft-identity_binary64_15423`
4×	`times-frac_binary64_15429` `associate-/l*_binary64_15368`
3×	`prod-exp_binary64_15472` `div-exp_binary64_15474` `add-cube-cbrt_binary64_15458` `cbrt-undiv_binary64_15457` `cbrt-unprod_binary64_15456` `add-sqr-sqrt_binary64_15445`
2×	`distribute-lft-out_binary64_15374` `associate-/l/_binary64_15370`
1×	`pow1_binary64_15484` `add-log-exp_binary64_15462` `frac-2neg_binary64_15434` `clear-num_binary64_15422` `div-inv_binary64_15420` `flip3-+_binary64_15426` `flip-+_binary64_15397` `associate-/r*_binary64_15367`

Counts

1 → 27

Calls

1 calls:

8.0ms

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

Compiler

Compiled 454 to 218 computations (52% saved)

series210.0ms (4.7%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

201.0ms

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

Compiler

Compiled 234 to 224 computations (4.3% saved)

simplify45.0ms (1%)

Algorithm

1×	egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	5367	505

prune32.0ms (0.7%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	36	3	39
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	37	3	40

Error

Counts

40 → 3

Compiler

Compiled 462 to 235 computations (49.1% saved)

localize7.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite29.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

11×	`*-un-lft-identity_binary64_15423`
6×	`times-frac_binary64_15429`
5×	`distribute-lft-out_binary64_15374`
3×	`add-log-exp_binary64_15462` `add-cube-cbrt_binary64_15458` `add-sqr-sqrt_binary64_15445`
2×	`div-inv_binary64_15420`
1×	`sum-log_binary64_15514` `pow1_binary64_15484` `add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459` `frac-add_binary64_15431` `flip3-+_binary64_15426` `flip-+_binary64_15397` `+-commutative_binary64_15353`

Counts

1 → 17

Calls

1 calls:

12.0ms

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

Compiler

Compiled 249 to 195 computations (21.7% saved)

series157.0ms (3.5%)

Error

Counts

1 → 12

Calls

1 calls:

150.0ms

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

Compiler

Compiled 234 to 224 computations (4.3% saved)

simplify82.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

29 → 29

Iterations

Useful iterations: 0 (74.0ms)

Iter	Nodes	Cost
0	5160	328

prune22.0ms (0.5%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	29	3	32

Error

Counts

32 → 3

Compiler

Compiled 309 to 229 computations (25.9% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

0.0b	(/.f64 (+.f64 x y) y)
5.0b	(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))

rewrite98.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

40×	`*-un-lft-identity_binary64_15423`
38×	`add-sqr-sqrt_binary64_15445`
37×	`times-frac_binary64_15429`
26×	`add-cube-cbrt_binary64_15458`
16×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459` `associate-r_binary64_15363`
13×	`associate-l_binary64_15364`
7×	`distribute-lft-out_binary64_15374`
5×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457`
4×	`pow1_binary64_15484` `prod-exp_binary64_15472` `cbrt-unprod_binary64_15456` `unswap-sqr_binary64_15391` `associate-/l*_binary64_15368`
3×	`div-inv_binary64_15420` `associate-/r*_binary64_15367`
2×	`add-log-exp_binary64_15462` `associate-/l/_binary64_15370`
1×	`pow-prod-down_binary64_15494` `frac-times_binary64_15433` `associate-l/_binary64_15366` `associate-r/_binary64_15365` `*-commutative_binary64_15354` `frac-2neg_binary64_15434` `clear-num_binary64_15422` `flip3-+_binary64_15426` `flip-+_binary64_15397`

Counts

2 → 86

Calls

2 calls:

16.0ms	(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
5.0ms	(/.f64 (+.f64 x y) y)

Compiler

Compiled 1484 to 577 computations (61.1% saved)

series300.0ms (6.7%)

Error

Counts

2 → 24

Calls

2 calls:

179.0ms	(*.f64 (/.f64 1/2 x) (/.f64 (+.f64 x y) y))
108.0ms	(/.f64 (+.f64 x y) y)

Compiler

Compiled 468 to 408 computations (12.8% saved)

simplify56.0ms (1.2%)

Algorithm

1×	egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 0 (35.0ms)

Iter	Nodes	Cost
0	5361	1446

prune96.0ms (2.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	109	1	110
Fresh	1	0	1
Picked	1	0	1
Done	0	1	1
Total	111	2	113

Error

Counts

113 → 2

Compiler

Compiled 1491 to 614 computations (58.8% saved)

localize8.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.1b	(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
0.3b	(/.f64 (+.f64 x y) (sqrt.f64 y))
1.9b	(*.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)))

rewrite724.0ms (16.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

708×	`times-frac_binary64_15429`
507×	`*-un-lft-identity_binary64_15423`
392×	`add-sqr-sqrt_binary64_15445`
352×	`sqrt-prod_binary64_15439`
337×	`add-cube-cbrt_binary64_15458`
172×	`associate-r_binary64_15363`
85×	`distribute-lft-out_binary64_15374`
32×	`associate-/l*_binary64_15368`
31×	`add-exp-log_binary64_15461` `add-cbrt-cube_binary64_15459`
17×	`div-inv_binary64_15420`
14×	`unswap-sqr_binary64_15391`
13×	`div-exp_binary64_15474` `cbrt-undiv_binary64_15457` `associate-l_binary64_15364`
12×	`associate-/r*_binary64_15367`
6×	`prod-exp_binary64_15472` `cbrt-unprod_binary64_15456`
5×	`pow1_binary64_15484`
3×	`add-log-exp_binary64_15462` `associate-/l/_binary64_15370`
2×	`frac-2neg_binary64_15434` `clear-num_binary64_15422`
1×	`pow-prod-down_binary64_15494` `frac-times_binary64_15433` `associate-l/_binary64_15366` `associate-r/_binary64_15365` `*-commutative_binary64_15354` `flip3-+_binary64_15426` `flip-+_binary64_15397`

Counts

3 → 488

Calls

3 calls:

75.0ms	(*.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)))
14.0ms	(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))
6.0ms	(/.f64 (+.f64 x y) (sqrt.f64 y))

Compiler

Compiled 13114 to 3393 computations (74.1% saved)

series389.0ms (8.7%)

Error

Counts

3 → 31

Calls

3 calls:

165.0ms	(*.f64 (/.f64 1/2 x) (/.f64 (/.f64 (+.f64 x y) (sqrt.f64 y)) (sqrt.f64 y)))
115.0ms	(/.f64 (+.f64 x y) (sqrt.f64 y))
91.0ms	(/.f64 (/.f64 (+.f64 x y) (sqrt.f64 y)) (sqrt.f64 y))

Compiler

Compiled 794 to 637 computations (19.8% saved)

simplify166.0ms (3.7%)

Algorithm

1×	egg-herbie

Counts

519 → 519

Iterations

Useful iterations: 0 (63.0ms)

Iter	Nodes	Cost
0	5057	11334

prune548.0ms (12.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	519	0	519
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	519	2	521

Error

Counts

521 → 2

Compiler

Compiled 11196 to 2902 computations (74.1% saved)

regimes137.0ms (3.1%)

Accuracy

Total 0.0b remaining (94%)

Threshold costs 0.0b (94%)

Compiler

Compiled 1127 to 803 computations (28.7% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	8	10
1	8	10

Remove

(sort x y)

Compiler

Compiled 14 to 14 computations (0% saved)

end0.0ms (0%)

sample769.0ms (17.3%)

Algorithm

1×

intervals

Results

222.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 352 to 257 computations (27% saved)

Details

analyze391.0ms (8.8%)

sample116.0ms (2.6%)

simplify7.0ms (0.2%)

prune2.0ms (0.1%)

localize6.0ms (0.1%)

rewrite45.0ms (1%)

series210.0ms (4.7%)

simplify45.0ms (1%)

prune32.0ms (0.7%)

localize7.0ms (0.2%)

rewrite29.0ms (0.7%)

series157.0ms (3.5%)

simplify82.0ms (1.8%)

prune22.0ms (0.5%)

localize5.0ms (0.1%)

rewrite98.0ms (2.2%)

series300.0ms (6.7%)

simplify56.0ms (1.2%)

prune96.0ms (2.2%)

localize8.0ms (0.2%)

rewrite724.0ms (16.2%)

series389.0ms (8.7%)

simplify166.0ms (3.7%)

prune548.0ms (12.3%)

regimes137.0ms (3.1%)

bsearch0.0ms (0%)

simplify8.0ms (0.2%)

end0.0ms (0%)

sample769.0ms (17.3%)

Profiling