Details

analyze67.0ms (4.7%)

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)

sample13.0ms (0.9%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify167.0ms (11.7%)

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_4494`
1×	`add-cbrt-cube_binary64_4491` `pow1_binary64_4516` `sum-log_binary64_4546` `flip3-+_binary64_4461` `add-sqr-sqrt_binary64_4479` `add-cube-cbrt_binary64_4490` `*-un-lft-identity_binary64_4458` `add-exp-log_binary64_4493` `flip-+_binary64_4432` `+-commutative_binary64_4390`

Counts

1 → 11

Calls

1 calls:

5.0ms

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

series40.0ms (2.8%)

Counts

1 → 3

Calls

1 calls:

40.0ms

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

simplify33.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (26.0ms)

Iter	Nodes	Cost
0	5014	193

prune11.0ms (0.8%)

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 187 to 59 computations (68.4% saved)

localize18.0ms (1.3%)

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)))))

rewrite55.0ms (3.9%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64_4458`
32×	`pow1_binary64_4516`
20×	`times-frac_binary64_4464`
18×	`add-cbrt-cube_binary64_4491` `add-exp-log_binary64_4493`
17×	`distribute-lft-out_binary64_4411`
15×	`add-sqr-sqrt_binary64_4479` `add-cube-cbrt_binary64_4490`
14×	`pow-prod-down_binary64_4526`
11×	`add-log-exp_binary64_4494`
10×	`unpow-prod-down_binary64_4534`
8×	`cbrt-unprod_binary64_4488` `prod-exp_binary64_4504`
5×	`associate-/l*_binary64_4405`
4×	`pow-plus_binary64_4518` `pow-prod-up_binary64_4525` `associate-/r*_binary64_4404`
3×	`flip3-+_binary64_4461` `flip-+_binary64_4432`
2×	`diff-log_binary64_4547` `sum-log_binary64_4546` `sub-neg_binary64_4451` `associate-/r/_binary64_4406` `pow2_binary64_4536` `associate-/l/_binary64_4407` `pow-sqr_binary64_4431`
1×	`associate-r_binary64_4400` `cbrt-undiv_binary64_4489` `associate-+r+_binary64_4392` `-commutative_binary64_4391` `frac-2neg_binary64_4469` `div-exp_binary64_4506` `associate-l*_binary64_4401` `clear-num_binary64_4457` `flip--_binary64_4433` `flip3--_binary64_4462` `unswap-sqr_binary64_4426` `div-inv_binary64_4455` `+-commutative_binary64_4390` `associate-+r-_binary64_4394`

Counts

4 → 100

Calls

4 calls:

18.0ms	(/.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)))

series321.0ms (22.4%)

Counts

4 → 12

Calls

4 calls:

139.0ms	(/.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))))
61.0ms	(-.f64 (pow.f64 y 4) (.f64 (.f64 x x) (*.f64 y y)))
49.0ms	(.f64 (.f64 x x) (*.f64 y y))

simplify71.0ms (5%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	4929	3237
1	4929	3237

prune165.0ms (11.6%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	112	2	114

Merged error: 0b

Counts

114 → 2

Compiler

Compiled 3467 to 1930 computations (44.3% saved)

regimes45.0ms (3.1%)

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%)

sample409.0ms (28.6%)

Algorithm

1×

intervals

Results

199.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 45 to 35 computations (22.2% saved)

Details

analyze67.0ms (4.7%)

sample13.0ms (0.9%)

simplify167.0ms (11.7%)

prune2.0ms (0.1%)

localize5.0ms (0.3%)

rewrite6.0ms (0.4%)

series40.0ms (2.8%)

simplify33.0ms (2.3%)

prune11.0ms (0.8%)

localize18.0ms (1.3%)

rewrite55.0ms (3.9%)

series321.0ms (22.4%)

simplify71.0ms (5%)

prune165.0ms (11.6%)

regimes45.0ms (3.1%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample409.0ms (28.6%)

Profiling