Details

analyze63.0ms (4.1%)

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
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

Compiler

Compiled 8 to 6 computations (25% saved)

sample12.0ms (0.8%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify175.0ms (11.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

prune2.0ms (0.1%)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize5.0ms (0.3%)

Local error

Found 1 expressions with local error:

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

rewrite6.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_4590`
1×	`sum-log_binary64_4642` `*-un-lft-identity_binary64_4551` `add-sqr-sqrt_binary64_4573` `pow1_binary64_4612` `add-exp-log_binary64_4589` `flip3-+_binary64_4554` `flip-+_binary64_4525` `add-cbrt-cube_binary64_4587` `+-commutative_binary64_4481` `add-cube-cbrt_binary64_4586`

Counts

1 → 11

Calls

1 calls:

5.0ms

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

series42.0ms (2.7%)

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify96.0ms (6.3%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (88.0ms)

Iter	Nodes	Cost
0	4870	193
1	4870	193

prune18.0ms (1.2%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0b

Counts

15 → 2

Compiler

Compiled 258 to 100 computations (61.2% saved)

localize15.0ms (1%)

Local error

Found 4 expressions with local error:

1.2b	(+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 x x) (*.f64 y y))))
1.5b	(-.f64 (pow.f64 y 4) (.f64 (.f64 x x) (*.f64 y y)))
8.1b	(.f64 (.f64 x x) (*.f64 y y))
39.2b	(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 x x) (*.f64 y y)))))

rewrite57.0ms (3.7%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64_4551`
32×	`pow1_binary64_4612`
20×	`times-frac_binary64_4557`
18×	`add-exp-log_binary64_4589` `add-cbrt-cube_binary64_4587`
17×	`distribute-lft-out_binary64_4502`
15×	`add-sqr-sqrt_binary64_4573` `add-cube-cbrt_binary64_4586`
14×	`pow-prod-down_binary64_4622`
11×	`add-log-exp_binary64_4590`
10×	`unpow-prod-down_binary64_4630`
8×	`prod-exp_binary64_4600` `cbrt-unprod_binary64_4584`
5×	`associate-/l*_binary64_4496`
4×	`pow-plus_binary64_4614` `associate-/r*_binary64_4495` `pow-prod-up_binary64_4621`
3×	`flip3-+_binary64_4554` `flip-+_binary64_4525`
2×	`diff-log_binary64_4643` `sum-log_binary64_4642` `pow2_binary64_4632` `associate-/l/_binary64_4498` `sub-neg_binary64_4544` `pow-sqr_binary64_4524` `cancel-sign-sub-inv_binary64_4517` `associate-+r+_binary64_4483` `associate-/r/_binary64_4497`
1×	`flip--_binary64_4526` `cbrt-undiv_binary64_4585` `associate-+r-_binary64_4485` `div-exp_binary64_4602` `-commutative_binary64_4482` `unswap-sqr_binary64_4519` `frac-2neg_binary64_4562` `associate-r_binary64_4491` `flip3--_binary64_4555` `div-inv_binary64_4548` `+-commutative_binary64_4481` `associate-l*_binary64_4492` `clear-num_binary64_4550`

Counts

4 → 102

Calls

4 calls:

19.0ms	(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 x x) (*.f64 y y)))))
10.0ms	(.f64 (.f64 x x) (*.f64 y y))
9.0ms	(+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 x x) (*.f64 y y))))
6.0ms	(-.f64 (pow.f64 y 4) (.f64 (.f64 x x) (*.f64 y y)))

series337.0ms (22.1%)

Counts

4 → 12

Calls

4 calls:

149.0ms	(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 x x) (*.f64 y y)))))
71.0ms	(+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 x x) (*.f64 y y))))
62.0ms	(-.f64 (pow.f64 y 4) (.f64 (.f64 x x) (*.f64 y y)))
54.0ms	(.f64 (.f64 x x) (*.f64 y y))

simplify75.0ms (4.9%)

Algorithm

1×	egg-herbie

Counts

114 → 114

Iterations

Useful iterations: 0 (45.0ms)

Iter	Nodes	Cost
0	5230	3259

prune182.0ms (11.9%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	114	0	114
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	114	2	116

Merged error: 0b

Counts

116 → 2

Compiler

Compiled 3566 to 1995 computations (44.1% saved)

regimes44.0ms (2.9%)

Compiler: Compiled 180 to 140 computations (22.2% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

end0.0ms (0%)

sample395.0ms (25.9%)

Algorithm

1×

intervals

Results

183.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 45 to 35 computations (22.2% saved)

Details

analyze63.0ms (4.1%)

sample12.0ms (0.8%)

simplify175.0ms (11.5%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite6.0ms (0.4%)

series42.0ms (2.7%)

simplify96.0ms (6.3%)

prune18.0ms (1.2%)

localize15.0ms (1%)

rewrite57.0ms (3.7%)

series337.0ms (22.1%)

simplify75.0ms (4.9%)

prune182.0ms (11.9%)

regimes44.0ms (2.9%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample395.0ms (25.9%)

Profiling