Details

analyze620.0ms (29%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	28	28
1	28	28
0	3	3
1	3	3

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
12.5%	87.4%	0.1%	7
18.7%	81.1%	0.1%	8
31.2%	68.6%	0.1%	9
46.8%	44.5%	8.7%	10
51.5%	39%	9.5%	11
57.3%	32.6%	10.1%	12
63.8%	21.6%	14.7%	13
66.2%	18.7%	15.1%	14

Symmetry

(sort x y)

Compiler

Compiled 6 to 6 computations (0% saved)

sample25.0ms (1.2%)

Algorithm

1×

intervals

Results

5.0ms	256×	body	128	valid
0.0ms	19×	body	128	invalid

Compiler

Compiled 11 to 14 computations (-27.3% saved)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	14	7
1	14	7

prune4.0ms (0.2%)

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 10 to 10 computations (0% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(*.f64 (+.f64 x y) z)

rewrite22.0ms (1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

5×	`add-sqr-sqrt_binary64` `*-un-lft-identity_binary64`
4×	`associate-l_binary64`
3×	`pow1_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-cube-cbrt_binary64` `associate-r_binary64`
2×	`associate-*l/_binary64`
1×	`pow-prod-down_binary64` `prod-exp_binary64` `add-log-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `flip3-+_binary64` `flip-+_binary64` `distribute-lft-out_binary64` `*-commutative_binary64`

Counts

1 → 21

Calls

1 calls:

8.0ms

(*.f64 (+.f64 x y) z)

Compiler

Compiled 235 to 73 computations (68.9% saved)

series108.0ms (5%)

Error

Counts

1 → 15

Calls

1 calls:

100.0ms

(*.f64 (+.f64 x y) z)

Compiler

Compiled 207 to 134 computations (35.3% saved)

simplify62.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

36 → 36

Iterations

Useful iterations: 0 (53.0ms)

Iter	Nodes	Cost
0	5403	295

prune21.0ms (1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	35	1	36
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	35	2	37

Error

Counts

37 → 2

Compiler

Compiled 288 to 78 computations (72.9% saved)

localize6.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(*.f64 z (+.f64 y x))
0.2b	(.f64 (sqrt.f64 (.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))))
3.3b	(sqrt.f64 (*.f64 z (+.f64 y x)))
3.3b	(sqrt.f64 (*.f64 z (+.f64 y x)))

rewrite111.0ms (5.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

61×	`pow1_binary64`
32×	`sqrt-pow1_binary64`
23×	`pow-prod-down_binary64`
20×	`associate-*r/_binary64`
16×	`sqrt-div_binary64`
14×	`add-sqr-sqrt_binary64`
12×	`pow1/2_binary64` `*-un-lft-identity_binary64`
10×	`add-cube-cbrt_binary64` `pow-prod-up_binary64`
9×	`flip3-+_binary64` `flip-+_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64` `associate-r_binary64`
7×	`associate-l_binary64`
6×	`sqrt-prod_binary64` `pow-sqr_binary64`
4×	`add-log-exp_binary64` `frac-times_binary64` `swap-sqr_binary64`
2×	`prod-exp_binary64` `cbrt-unprod_binary64` `unswap-sqr_binary64` `associate-l/_binary64` `-commutative_binary64`
1×	`pow2_binary64` `pow-plus_binary64` `sqrt-unprod_binary64` `rem-square-sqrt_binary64` `distribute-rgt-in_binary64` `distribute-lft-in_binary64` `distribute-lft-out_binary64`

Counts

4 → 106

Calls

4 calls:

14.0ms	(.f64 (sqrt.f64 (.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))))
6.0ms	(*.f64 z (+.f64 y x))
4.0ms	(sqrt.f64 (*.f64 z (+.f64 y x)))
4.0ms	(sqrt.f64 (*.f64 z (+.f64 y x)))

Compiler

Compiled 2047 to 442 computations (78.4% saved)

series346.0ms (16.2%)

Error

Counts

4 → 50

Calls

4 calls:

91.0ms	(*.f64 z (+.f64 y x))
89.0ms	(.f64 (sqrt.f64 (.f64 z (+.f64 y x))) (sqrt.f64 (*.f64 z (+.f64 y x))))
73.0ms	(sqrt.f64 (*.f64 z (+.f64 y x)))
71.0ms	(sqrt.f64 (*.f64 z (+.f64 y x)))

Compiler

Compiled 1912 to 1129 computations (41% saved)

simplify63.0ms (2.9%)

Algorithm

1×	egg-herbie

Counts

156 → 156

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	4991	1443
1	4991	1443

prune84.0ms (3.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	156	0	156
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	156	2	158

Error

Counts

158 → 2

Compiler

Compiled 2050 to 382 computations (81.4% saved)

regimes95.0ms (4.4%)

Accuracy

Total 0.0b remaining (78.6%)

Threshold costs 0.0b (78.6%)

Compiler

Compiled 384 to 333 computations (13.3% saved)

bsearch0.0ms (0%)

simplify8.0ms (0.4%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	10	10
1	10	10

Remove

(sort x y)

Compiler

Compiled 14 to 12 computations (14.3% saved)

end0.0ms (0%)

sample554.0ms (25.9%)

Algorithm

1×

intervals

Results

167.0ms	8000×	body	128	valid
11.0ms	589×	body	128	invalid

Compiler

Compiled 75 to 66 computations (12% saved)

Details

analyze620.0ms (29%)

sample25.0ms (1.2%)

simplify8.0ms (0.4%)

prune4.0ms (0.2%)

localize5.0ms (0.3%)

rewrite22.0ms (1%)

series108.0ms (5%)

simplify62.0ms (2.9%)

prune21.0ms (1%)

localize6.0ms (0.3%)

rewrite111.0ms (5.2%)

series346.0ms (16.2%)

simplify63.0ms (2.9%)

prune84.0ms (3.9%)

regimes95.0ms (4.4%)

bsearch0.0ms (0%)

simplify8.0ms (0.4%)

end0.0ms (0%)

sample554.0ms (25.9%)

Profiling