Details

analyze284.0ms (7.1%)

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

Compiler

Compiled 8 to 6 computations (25% saved)

sample32.0ms (0.8%)

Algorithm

1×

intervals

Results

11.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify14.0ms (0.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	7	10
1	7	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 10 computations (28.6% saved)

localize9.0ms (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite15.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_4209`
1×	`pow1_binary64_4231` `add-sqr-sqrt_binary64_4192` `add-exp-log_binary64_4208` `*-un-lft-identity_binary64_4170` `flip-+_binary64_4144` `add-cbrt-cube_binary64_4206` `+-commutative_binary64_4100` `flip3-+_binary64_4173` `sum-log_binary64_4261` `add-cube-cbrt_binary64_4205`

Counts

1 → 11

Calls

1 calls:

14.0ms

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

series160.0ms (4%)

Counts

1 → 12

Calls

1 calls:

159.0ms

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

Compiler

Compiled 102 to 108 computations (-5.9% saved)

simplify165.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

23 → 23

Iterations

Useful iterations: 0 (149.0ms)

Iter	Nodes	Cost
0	4921	247
1	4921	247

prune28.0ms (0.7%)

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

Counts

24 → 2

Compiler

Compiled 226 to 59 computations (73.9% saved)

localize35.0ms (0.9%)

Local error

Found 4 expressions with local error:

1.8b	(+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 x x) (*.f64 y y))))
3.2b	(-.f64 (pow.f64 y 4) (.f64 (.f64 x x) (*.f64 y y)))
6.9b	(.f64 (.f64 x x) (*.f64 y y))
43.3b	(/.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)))))

rewrite100.0ms (2.5%)

Algorithm

1×	rewrite-expression-head

Rules

49×	`*-un-lft-identity_binary64_4170`
32×	`pow1_binary64_4231`
20×	`times-frac_binary64_4176`
18×	`add-exp-log_binary64_4208` `add-cbrt-cube_binary64_4206`
17×	`distribute-lft-out_binary64_4121`
15×	`add-sqr-sqrt_binary64_4192` `add-cube-cbrt_binary64_4205`
14×	`pow-prod-down_binary64_4241`
11×	`add-log-exp_binary64_4209`
10×	`unpow-prod-down_binary64_4249`
8×	`prod-exp_binary64_4219` `cbrt-unprod_binary64_4203`
5×	`associate-/l*_binary64_4115`
4×	`pow-plus_binary64_4233` `pow-prod-up_binary64_4240` `associate-/r*_binary64_4114`
3×	`flip-+_binary64_4144` `flip3-+_binary64_4173`
2×	`diff-log_binary64_4262` `pow2_binary64_4251` `associate-/r/_binary64_4116` `associate-+r+_binary64_4102` `cancel-sign-sub-inv_binary64_4136` `sum-log_binary64_4261` `associate-/l/_binary64_4117` `sub-neg_binary64_4163` `pow-sqr_binary64_4143`
1×	`flip3--_binary64_4174` `associate-l_binary64_4111` `frac-2neg_binary64_4181` `associate-r_binary64_4110` `div-inv_binary64_4167` `associate-+r-_binary64_4104` `+-commutative_binary64_4100` `*-commutative_binary64_4101` `cbrt-undiv_binary64_4204` `flip--_binary64_4145` `clear-num_binary64_4169` `unswap-sqr_binary64_4138` `div-exp_binary64_4221`

Counts

4 → 102

Calls

4 calls:

33.0ms	(/.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)))))
17.0ms	(.f64 (.f64 x x) (*.f64 y y))
17.0ms	(+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 x x) (*.f64 y y))))
11.0ms	(-.f64 (pow.f64 y 4) (.f64 (.f64 x x) (*.f64 y y)))

series1.6s (38.6%)

Counts

4 → 48

Calls

4 calls:

601.0ms	(/.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)))))
513.0ms	(+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 x x) (*.f64 y y))))
311.0ms	(-.f64 (pow.f64 y 4) (.f64 (.f64 x x) (*.f64 y y)))
131.0ms	(.f64 (.f64 x x) (*.f64 y y))

Compiler

Compiled 1218 to 1041 computations (14.5% saved)

simplify145.0ms (3.6%)

Algorithm

1×	egg-herbie

Counts

150 → 150

Iterations

Useful iterations: 0 (82.0ms)

Iter	Nodes	Cost
0	5330	3625

prune326.0ms (8.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	150	0	150
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	150	2	152

Error

Counts

152 → 2

Compiler

Compiled 4046 to 2226 computations (45% saved)

regimes103.0ms (2.6%)

Accuracy

Total 0.0b remaining (44.4%)

Threshold costs 0.0b (44.4%)

Compiler

Compiled 285 to 225 computations (21.1% saved)

bsearch0.0ms (0%)

simplify13.0ms (0.3%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

Compiler

Compiled 14 to 10 computations (28.6% saved)

end0.0ms (0%)

sample1.0s (25.8%)

Algorithm

1×

intervals

Results

341.0ms	8000×	body	128	valid
0.0ms	4×	body	128	invalid

Compiler

Compiled 66 to 52 computations (21.2% saved)

Details

analyze284.0ms (7.1%)

sample32.0ms (0.8%)

simplify14.0ms (0.3%)

prune4.0ms (0.1%)

localize9.0ms (0.2%)

rewrite15.0ms (0.4%)

series160.0ms (4%)

simplify165.0ms (4.1%)

prune28.0ms (0.7%)

localize35.0ms (0.9%)

rewrite100.0ms (2.5%)

series1.6s (38.6%)

simplify145.0ms (3.6%)

prune326.0ms (8.1%)

regimes103.0ms (2.6%)

bsearch0.0ms (0%)

simplify13.0ms (0.3%)

end0.0ms (0%)

sample1.0s (25.8%)

Profiling