Details

analyze173.0ms (4%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	20
1	7	20
0	2	2
1	2	2

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
25%	50%	25.1%	6
25%	31.2%	43.8%	7
31.2%	25%	43.8%	8
39%	17.2%	43.8%	9
42.9%	13.3%	43.8%	10
47.2%	9%	43.8%	11
49.4%	6.8%	43.8%	12
51.6%	4.6%	43.8%	13
52.7%	3.5%	43.8%	14

Symmetry

(sort x y)

Compiler

Compiled 8 to 6 computations (25% saved)

sample23.0ms (0.5%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify8.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

prune2.0ms (0%)

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 (0.1%)

Local error

Found 1 expressions with local error:

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

rewrite13.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_5573`
1×	`sum-log_binary64_5625` `pow1_binary64_5595` `add-exp-log_binary64_5572` `add-cbrt-cube_binary64_5570` `add-cube-cbrt_binary64_5569` `add-sqr-sqrt_binary64_5556` `flip3-+_binary64_5537` `*-un-lft-identity_binary64_5534` `flip-+_binary64_5508` `+-commutative_binary64_5464`

Counts

1 → 11

Calls

1 calls:

4.0ms

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

Compiler

Compiled 178 to 40 computations (77.5% saved)

series95.0ms (2.2%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

85.0ms

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

Compiler

Compiled 162 to 152 computations (6.2% saved)

simplify84.0ms (2%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (76.0ms)

Iter	Nodes	Cost
0	4921	247
1	4921	247

prune15.0ms (0.3%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	22	1	23
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	22	2	24

Error

0.0b

Counts

24 → 2

Compiler

Compiled 229 to 50 computations (78.2% saved)

localize9.0ms (0.2%)

Local error

Found 4 expressions with local error:

0.5b	(.f64 (cbrt.f64 (+.f64 (.f64 y y) (.f64 x x))) (cbrt.f64 (+.f64 (.f64 y y) (*.f64 x x))))
7.0b	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))
7.0b	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))
7.0b	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))

rewrite113.0ms (2.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

25×	`cbrt-prod_binary64_5565`
23×	`add-sqr-sqrt_binary64_5556`
18×	`cbrt-div_binary64_5566`
15×	`add-cube-cbrt_binary64_5569` `*-un-lft-identity_binary64_5534`
11×	`pow1_binary64_5595`
9×	`pow1/3_binary64_5616` `flip3-+_binary64_5537` `flip-+_binary64_5508`
6×	`add-exp-log_binary64_5572` `swap-sqr_binary64_5501` `associate-l_binary64_5475` `associate-r_binary64_5474`
4×	`add-log-exp_binary64_5573` `add-cbrt-cube_binary64_5570` `frac-times_binary64_5544` `unswap-sqr_binary64_5502`
2×	`pow-prod-down_binary64_5605` `pow-prod-up_binary64_5604` `pow-sqr_binary64_5507` `associate-l/_binary64_5477` `associate-r/_binary64_5476`
1×	`pow2_binary64_5615` `pow-plus_binary64_5597` `prod-exp_binary64_5583` `cbrt-unprod_binary64_5567` `*-commutative_binary64_5465`

Counts

4 → 87

Calls

4 calls:

13.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y y) (.f64 x x))) (cbrt.f64 (+.f64 (.f64 y y) (*.f64 x x))))
4.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))
4.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))
4.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))

Compiler

Compiled 3392 to 339 computations (90% saved)

series1.1s (25.4%)

Error

0.0b

Counts

4 → 72

Calls

4 calls:

277.0ms	(.f64 (cbrt.f64 (+.f64 (.f64 y y) (.f64 x x))) (cbrt.f64 (+.f64 (.f64 y y) (*.f64 x x))))
240.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))
230.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))
227.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))

Compiler

Compiled 5925 to 3694 computations (37.7% saved)

simplify85.0ms (2%)

Algorithm

1×	egg-herbie

Counts

159 → 159

Iterations

Useful iterations: 0 (44.0ms)

Iter	Nodes	Cost
0	4967	3955
1	4967	3955

prune182.0ms (4.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	158	1	159
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	158	3	161

Error

0.0b

Counts

161 → 3

Compiler

Compiled 5320 to 1440 computations (72.9% saved)

localize14.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.7b	(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))) 3)
7.0b	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))
7.0b	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))
7.0b	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))

rewrite126.0ms (2.9%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

15×	`cbrt-prod_binary64_5565`
14×	`add-cube-cbrt_binary64_5569` `add-sqr-sqrt_binary64_5556` `*-un-lft-identity_binary64_5534`
12×	`sqrt-prod_binary64_5550`
9×	`unpow-prod-down_binary64_5613` `cube-prod_binary64_5562`
8×	`cbrt-div_binary64_5566`
6×	`pow1_binary64_5595`
5×	`add-exp-log_binary64_5572` `add-cbrt-cube_binary64_5570`
4×	`pow1/3_binary64_5616` `add-log-exp_binary64_5573` `flip3-+_binary64_5537` `flip-+_binary64_5508` `pow-pow_binary64_5606`
3×	`pow-unpow_binary64_5611`
2×	`sqrt-pow1_binary64_5552` `sqrt-div_binary64_5551` `cube-div_binary64_5563`
1×	`pow1/2_binary64_5614` `pow-to-exp_binary64_5603` `pow-exp_binary64_5602` `unpow3_binary64_5600` `cube-mult_binary64_5564` `rem-cube-cbrt_binary64_5557` `sqrt-pow2_binary64_5553` `sqr-pow_binary64_5506`

Counts

4 → 80

Calls

4 calls:

7.0ms	(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))) 3)
4.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
4.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))
4.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))

Compiler

Compiled 3300 to 605 computations (81.7% saved)

series1.1s (25.8%)

Error

0.0b

Counts

4 → 68

Calls

4 calls:

258.0ms	(pow.f64 (sqrt.f64 (cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))) 3)
249.0ms	(cbrt.f64 (+.f64 (.f64 x x) (.f64 y y)))
247.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))
237.0ms	(cbrt.f64 (+.f64 (.f64 y y) (.f64 x x)))

Compiler

Compiled 6146 to 3743 computations (39.1% saved)

simplify74.0ms (1.7%)

Algorithm

1×	egg-herbie

Counts

148 → 148

Iterations

Useful iterations: 0 (38.0ms)

Iter	Nodes	Cost
0	5207	3406

prune187.0ms (4.4%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	148	0	148
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	148	3	151

Error

0.0b

Counts

151 → 3

Compiler

Compiled 5587 to 1549 computations (72.3% saved)

regimes293.0ms (6.8%)

Accuracy

Total 0.0b remaining (64.1%)

Threshold costs 0.0b (64.1%)

Compiler

Compiled 1325 to 555 computations (58.1% saved)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

Remove

(sort x y)

Compiler

Compiled 14 to 10 computations (28.6% saved)

end0.0ms (0%)

sample588.0ms (13.7%)

Algorithm

1×

intervals

Results

174.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 274 to 118 computations (56.9% saved)

Details

analyze173.0ms (4%)

sample23.0ms (0.5%)

simplify8.0ms (0.2%)

prune2.0ms (0%)

localize4.0ms (0.1%)

rewrite13.0ms (0.3%)

series95.0ms (2.2%)

simplify84.0ms (2%)

prune15.0ms (0.3%)

localize9.0ms (0.2%)

rewrite113.0ms (2.6%)

series1.1s (25.4%)

simplify85.0ms (2%)

prune182.0ms (4.2%)

localize14.0ms (0.3%)

rewrite126.0ms (2.9%)

series1.1s (25.8%)

simplify74.0ms (1.7%)

prune187.0ms (4.4%)

regimes293.0ms (6.8%)

bsearch0.0ms (0%)

simplify9.0ms (0.2%)

end0.0ms (0%)

sample588.0ms (13.7%)

Profiling