Details

analyze1.7s (30.1%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	23	70
1	23	70
0	4	4
1	4	4

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
6.2%	93.6%	0.2%	9
12.5%	87.3%	0.2%	10
15.6%	80.3%	4.1%	11
31.2%	63.9%	4.9%	12
39%	50.9%	10.1%	13
44.8%	44.4%	10.7%	14

Symmetry

(sort x y)

(sort z t)

Compiler

Compiled 8 to 8 computations (0% saved)

sample61.0ms (1.1%)

Algorithm

1×

intervals

Results

12.0ms	256×	body	128	valid
2.0ms	44×	body	128	invalid

Compiler

Compiled 15 to 19 computations (-26.7% saved)

simplify14.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	11	10
1	11	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 → 1

Compiler

Compiled 14 to 14 computations (0% saved)

localize12.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite25.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

3×	`add-log-exp_binary64_4891`
1×	`sum-log_binary64_4943` `pow1_binary64_4913` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `add-cube-cbrt_binary64_4887` `add-sqr-sqrt_binary64_4874` `flip3-+_binary64_4855` `*-un-lft-identity_binary64_4852` `flip-+_binary64_4826` `+-commutative_binary64_4782`

Counts

1 → 11

Calls

1 calls:

8.0ms

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

Compiler

Compiled 178 to 42 computations (76.4% saved)

series566.0ms (9.8%)

Error

0.0b

Counts

1 → 24

Calls

1 calls:

544.0ms

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

Compiler

Compiled 324 to 235 computations (27.5% saved)

simplify164.0ms (2.8%)

Algorithm

1×	egg-herbie

Counts

35 → 35

Iterations

Useful iterations: 0 (148.0ms)

Iter	Nodes	Cost
0	4831	355
1	4831	355

prune33.0ms (0.6%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	34	1	35
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	34	2	36

Error

Counts

36 → 2

Compiler

Compiled 296 to 50 computations (83.1% saved)

localize16.0ms (0.3%)

Local error

Found 4 expressions with local error:

0.0b	(+.f64 (.f64 t z) (.f64 x y))
0.2b	(.f64 (sqrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
2.0b	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
2.0b	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

rewrite202.0ms (3.5%)

Algorithm

1×	rewrite-expression-head

Error

Rules

30×	`add-sqr-sqrt_binary64_4874`
24×	`sqrt-prod_binary64_4868`
21×	`pow1_binary64_4913`
16×	`sqrt-div_binary64_4869`
14×	`add-cube-cbrt_binary64_4887` `*-un-lft-identity_binary64_4852`
10×	`pow1/2_binary64_4932` `sqrt-pow1_binary64_4870`
9×	`flip3-+_binary64_4855` `flip-+_binary64_4826`
8×	`swap-sqr_binary64_4819`
6×	`add-log-exp_binary64_4891` `add-exp-log_binary64_4890` `add-cbrt-cube_binary64_4888` `associate-l_binary64_4793` `associate-r_binary64_4792`
5×	`pow-prod-up_binary64_4922`
4×	`rem-sqrt-square_binary64_4865` `frac-times_binary64_4862` `unswap-sqr_binary64_4820`
3×	`pow-prod-down_binary64_4923` `pow-sqr_binary64_4825`
2×	`associate-l/_binary64_4795` `associate-r/_binary64_4794`
1×	`pow2_binary64_4933` `pow-plus_binary64_4915` `prod-exp_binary64_4901` `cbrt-unprod_binary64_4885` `sqrt-unprod_binary64_4872` `sqr-abs_binary64_4867` `rem-square-sqrt_binary64_4864` `*-commutative_binary64_4783` `sum-log_binary64_4943` `+-commutative_binary64_4782`

Counts

4 → 99

Calls

4 calls:

21.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
7.0ms	(+.f64 (.f64 t z) (.f64 x y))
7.0ms	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
7.0ms	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 2841 to 323 computations (88.6% saved)

series983.0ms (17%)

Error

Counts

4 → 76

Calls

4 calls:

277.0ms	(+.f64 (.f64 t z) (.f64 x y))
271.0ms	(.f64 (sqrt.f64 (+.f64 (.f64 t z) (.f64 x y))) (sqrt.f64 (+.f64 (.f64 t z) (*.f64 x y))))
187.0ms	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))
186.0ms	(sqrt.f64 (+.f64 (.f64 t z) (.f64 x y)))

Compiler

Compiled 2820 to 1554 computations (44.9% saved)

simplify197.0ms (3.4%)

Algorithm

1×	egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 0 (140.0ms)

Iter	Nodes	Cost
0	4968	2293
1	4968	2293

prune192.0ms (3.3%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	175	2	177

Error

Counts

177 → 2

Compiler

Compiled 2938 to 334 computations (88.6% saved)

regimes190.0ms (3.3%)

Accuracy

Total 0.0b remaining (8.3%)

Threshold costs 0.0b (8.3%)

Compiler

Compiled 433 to 381 computations (12% saved)

bsearch0.0ms (0%)

simplify48.0ms (0.8%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	10
1	11	10

Remove

(sort z t)

(sort x y)

Compiler

Compiled 28 to 28 computations (0% saved)

end0.0ms (0%)

sample1.3s (23.2%)

Algorithm

1×

intervals

Results

418.0ms	8000×	body	128	valid
65.0ms	1356×	body	128	invalid

Compiler

Compiled 72 to 64 computations (11.1% saved)

Details

analyze1.7s (30.1%)

sample61.0ms (1.1%)

simplify14.0ms (0.2%)

prune4.0ms (0.1%)

localize12.0ms (0.2%)

rewrite25.0ms (0.4%)

series566.0ms (9.8%)

simplify164.0ms (2.8%)

prune33.0ms (0.6%)

localize16.0ms (0.3%)

rewrite202.0ms (3.5%)

series983.0ms (17%)

simplify197.0ms (3.4%)

prune192.0ms (3.3%)

regimes190.0ms (3.3%)

bsearch0.0ms (0%)

simplify48.0ms (0.8%)

end0.0ms (0%)

sample1.3s (23.2%)

Profiling