Details

analyze268.0ms (10.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	138	14
1	138	14
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
37.5%	62.4%	0.1%	5
43.7%	56.2%	0.1%	6
43.7%	34.3%	22%	7
46.8%	29.7%	23.5%	8
58.5%	17.2%	24.3%	9
60.5%	14.8%	24.7%	10
66.5%	8.6%	24.9%	11
67.6%	7.4%	25%	12
70.7%	4.3%	25%	13
71.2%	3.7%	25%	14

Compiler

Compiled 6 to 5 computations (16.7% saved)

sample19.0ms (0.8%)

Algorithm

1×

intervals

Results

9.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify19.0ms (0.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	90	7
1	90	7

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 10 to 8 computations (20% saved)

localize7.0ms (0.3%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 x (*.f64 y y))

rewrite7.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_3868`
2×	`add-sqr-sqrt_binary64_3851`
1×	`cancel-sign-sub-inv_binary64_3795` `flip--_binary64_3804` `add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865` `add-cube-cbrt_binary64_3864` `flip3--_binary64_3833` `pow1_binary64_3890` `difference-of-squares_binary64_3798` `*-un-lft-identity_binary64_3829` `sub-neg_binary64_3822` `diff-log_binary64_3921`

Counts

1 → 13

Calls

1 calls:

5.0ms

(-.f64 x (*.f64 y y))

series119.0ms (4.8%)

Counts

1 → 12

Calls

1 calls:

119.0ms

(-.f64 x (*.f64 y y))

Compiler

Compiled 78 to 84 computations (-7.7% saved)

simplify107.0ms (4.3%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (91.0ms)

Iter	Nodes	Cost
0	5263	214

prune28.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	23	2	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	23	3	26

Error

Counts

26 → 3

Compiler

Compiled 191 to 55 computations (71.2% saved)

localize17.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 x (*.f64 y y))
1.2b	(-.f64 (*.f64 x x) (pow.f64 y 4))
29.5b	(/.f64 (-.f64 (.f64 x x) (pow.f64 y 4)) (+.f64 x (.f64 y y)))

rewrite51.0ms (2%)

Algorithm

1×	rewrite-expression-head

Rules

26×	`add-sqr-sqrt_binary64_3851`
18×	`times-frac_binary64_3835`
16×	`add-cube-cbrt_binary64_3864` `*-un-lft-identity_binary64_3829`
15×	`difference-of-squares_binary64_3798`
8×	`unpow-prod-down_binary64_3908`
7×	`add-log-exp_binary64_3868` `cancel-sign-sub-inv_binary64_3795`
6×	`sqr-pow_binary64_3801` `associate-/l*_binary64_3774`
5×	`add-exp-log_binary64_3867` `add-cbrt-cube_binary64_3865`
3×	`pow1_binary64_3890` `associate-/r*_binary64_3773`
2×	`flip3-+_binary64_3832` `flip--_binary64_3804` `flip-+_binary64_3803` `associate-/l/_binary64_3776` `flip3--_binary64_3833` `associate-/r/_binary64_3775`
1×	`div-inv_binary64_3826` `div-exp_binary64_3880` `sum-log_binary64_3920` `clear-num_binary64_3828` `div-sub_binary64_3834` `cbrt-undiv_binary64_3863` `+-commutative_binary64_3759` `frac-2neg_binary64_3840` `sub-neg_binary64_3822` `diff-log_binary64_3921`

Counts

3 → 76

Calls

3 calls:

19.0ms	(/.f64 (-.f64 (.f64 x x) (pow.f64 y 4)) (+.f64 x (.f64 y y)))
14.0ms	(-.f64 (*.f64 x x) (pow.f64 y 4))
5.0ms	(+.f64 x (*.f64 y y))

series679.0ms (27.3%)

Counts

3 → 36

Calls

3 calls:

320.0ms	(/.f64 (-.f64 (.f64 x x) (pow.f64 y 4)) (+.f64 x (.f64 y y)))
237.0ms	(-.f64 (*.f64 x x) (pow.f64 y 4))
121.0ms	(+.f64 x (*.f64 y y))

Compiler

Compiled 510 to 420 computations (17.6% saved)

simplify145.0ms (5.8%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (104.0ms)

Iter	Nodes	Cost
0	5320	1755

prune150.0ms (6%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	112	3	115

Error

Counts

115 → 3

Compiler

Compiled 1847 to 631 computations (65.8% saved)

localize6.0ms (0.2%)

rewrite0.0ms (0%)

Algorithm

1×	rewrite-expression-head

Rules

Counts

0 → 0

series0.0ms (0%)

Counts: 0 → 0

simplify13.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

0 → 0

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	0	0

prune1.0ms (0%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Kept	Total
New	0	0
Fresh	0	0
Picked	1	1
Done	2	2
Total	3	3

Error

Counts

3 → 3

Compiler

Compiled 0 to 0 computations (0% saved)

regimes100.0ms (4%)

Accuracy

Total 0.0b remaining (69.1%)

Threshold costs 0.0b (69.1%)

Compiler

Compiled 224 to 178 computations (20.5% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	7
1	23	7

end0.0ms (0%)

sample748.0ms (30%)

Algorithm

1×

intervals

Results

286.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 62 to 50 computations (19.4% saved)

Details

analyze268.0ms (10.7%)

sample19.0ms (0.8%)

simplify19.0ms (0.8%)

prune4.0ms (0.1%)

localize7.0ms (0.3%)

rewrite7.0ms (0.3%)

series119.0ms (4.8%)

simplify107.0ms (4.3%)

prune28.0ms (1.1%)

localize17.0ms (0.7%)

rewrite51.0ms (2%)

series679.0ms (27.3%)

simplify145.0ms (5.8%)

prune150.0ms (6%)

localize6.0ms (0.2%)

rewrite0.0ms (0%)

series0.0ms (0%)

simplify13.0ms (0.5%)

prune1.0ms (0%)

regimes100.0ms (4%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample748.0ms (30%)

Profiling