Details

analyze271.0ms (6.4%)

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)

sample21.0ms (0.5%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 11 to 11 computations (0% saved)

simplify20.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (10.0ms)

Iter	Nodes	Cost
0	90	7
1	90	7

prune3.0ms (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 (0.2%)

Local error

Found 1 expressions with local error:

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

rewrite27.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

3×	`add-log-exp_binary64_3527`
2×	`add-sqr-sqrt_binary64_3510`
1×	`diff-log_binary64_3580` `pow1_binary64_3549` `add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524` `add-cube-cbrt_binary64_3523` `flip3--_binary64_3492` `*-un-lft-identity_binary64_3488` `sub-neg_binary64_3481` `flip--_binary64_3463` `difference-of-squares_binary64_3457` `cancel-sign-sub-inv_binary64_3454`

Counts

1 → 13

Calls

1 calls:

6.0ms

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

Compiler

Compiled 152 to 47 computations (69.1% saved)

series125.0ms (2.9%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

114.0ms

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

Compiler

Compiled 126 to 116 computations (7.9% saved)

simplify101.0ms (2.4%)

Algorithm

1×	egg-herbie

Counts

25 → 25

Iterations

Useful iterations: 0 (86.0ms)

Iter	Nodes	Cost
0	5263	214

prune28.0ms (0.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	24	1	25
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	2	26

Error

0.0b

Counts

26 → 2

Compiler

Compiled 187 to 51 computations (72.7% saved)

localize17.0ms (0.4%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (*.f64 y y) x)
2.3b	(-.f64 (*.f64 x x) (pow.f64 y 4))
29.1b	(/.f64 (-.f64 (.f64 x x) (pow.f64 y 4)) (+.f64 (.f64 y y) x))

rewrite178.0ms (4.2%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

26×	`add-sqr-sqrt_binary64_3510`
18×	`times-frac_binary64_3494`
16×	`add-cube-cbrt_binary64_3523` `*-un-lft-identity_binary64_3488`
15×	`difference-of-squares_binary64_3457`
8×	`unpow-prod-down_binary64_3567`
7×	`add-log-exp_binary64_3527` `cancel-sign-sub-inv_binary64_3454`
6×	`sqr-pow_binary64_3460` `associate-/l*_binary64_3433`
5×	`add-exp-log_binary64_3526` `add-cbrt-cube_binary64_3524`
3×	`pow1_binary64_3549` `associate-/r*_binary64_3432`
2×	`flip3--_binary64_3492` `associate-/l/_binary64_3435` `flip--_binary64_3463` `flip3-+_binary64_3491` `associate-/r/_binary64_3434` `flip-+_binary64_3462`
1×	`div-exp_binary64_3539` `cbrt-undiv_binary64_3522` `frac-2neg_binary64_3499` `div-sub_binary64_3493` `clear-num_binary64_3487` `div-inv_binary64_3485` `diff-log_binary64_3580` `sub-neg_binary64_3481` `sum-log_binary64_3579` `+-commutative_binary64_3418`

Counts

3 → 76

Calls

3 calls:

23.0ms	(/.f64 (-.f64 (.f64 x x) (pow.f64 y 4)) (+.f64 (.f64 y y) x))
11.0ms	(-.f64 (*.f64 x x) (pow.f64 y 4))
7.0ms	(+.f64 (*.f64 y y) x)

Compiler

Compiled 1829 to 727 computations (60.3% saved)

series680.0ms (16%)

Error

0.0b

Counts

3 → 36

Calls

3 calls:

294.0ms	(/.f64 (-.f64 (.f64 x x) (pow.f64 y 4)) (+.f64 (.f64 y y) x))
234.0ms	(-.f64 (*.f64 x x) (pow.f64 y 4))
117.0ms	(+.f64 (*.f64 y y) x)

Compiler

Compiled 834 to 587 computations (29.6% saved)

simplify113.0ms (2.7%)

Algorithm

1×	egg-herbie

Counts

112 → 112

Iterations

Useful iterations: 0 (75.0ms)

Iter	Nodes	Cost
0	5075	1891

prune139.0ms (3.3%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	111	1	112
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	111	3	114

Error

Counts

114 → 3

Compiler

Compiled 1952 to 670 computations (65.7% saved)

localize23.0ms (0.5%)

Local error

Found 4 expressions with local error:

0.0b	(/.f64 (+.f64 x (pow.f64 (sqrt.f64 y) 4)) (/.f64 (+.f64 (.f64 y y) x) (-.f64 x (.f64 y y))))
0.0b	(-.f64 x (*.f64 y y))
0.0b	(+.f64 (*.f64 y y) x)
0.3b	(pow.f64 (sqrt.f64 y) 4)

rewrite372.0ms (8.7%)

Algorithm

1×	rewrite-expression-head

Error

Rules

132×	`times-frac_binary64_3494`
104×	`*-un-lft-identity_binary64_3488`
82×	`add-sqr-sqrt_binary64_3510`
66×	`add-cube-cbrt_binary64_3523`
19×	`distribute-lft-out_binary64_3439`
18×	`associate-/r*_binary64_3432`
16×	`difference-of-squares_binary64_3457`
11×	`associate-/r/_binary64_3434`
10×	`add-exp-log_binary64_3526`
9×	`add-cbrt-cube_binary64_3524`
8×	`add-log-exp_binary64_3527`
6×	`unpow-prod-down_binary64_3567` `pow1_binary64_3549` `flip3--_binary64_3492` `flip--_binary64_3463` `div-inv_binary64_3485`
4×	`associate-/l*_binary64_3433`
3×	`sqrt-prod_binary64_3504` `pow-unpow_binary64_3565` `pow-pow_binary64_3560` `div-exp_binary64_3539` `cbrt-undiv_binary64_3522`
2×	`flip3-+_binary64_3491` `flip-+_binary64_3462` `associate-/l/_binary64_3435`
1×	`pow1/2_binary64_3568` `sqrt-pow1_binary64_3506` `pow-to-exp_binary64_3557` `pow-exp_binary64_3556` `sqrt-pow2_binary64_3507` `sqr-pow_binary64_3460` `sum-log_binary64_3579` `+-commutative_binary64_3418` `diff-log_binary64_3580` `sub-neg_binary64_3481` `cancel-sign-sub-inv_binary64_3454` `frac-2neg_binary64_3499` `clear-num_binary64_3487`

Counts

4 → 158

Calls

4 calls:

29.0ms	(/.f64 (+.f64 x (pow.f64 (sqrt.f64 y) 4)) (/.f64 (+.f64 (.f64 y y) x) (-.f64 x (.f64 y y))))
7.0ms	(+.f64 (*.f64 y y) x)
5.0ms	(-.f64 x (*.f64 y y))
5.0ms	(pow.f64 (sqrt.f64 y) 4)

Compiler

Compiled 5267 to 1540 computations (70.8% saved)

series434.0ms (10.2%)

Error

Counts

4 → 38

Calls

4 calls:

122.0ms	(-.f64 x (*.f64 y y))
118.0ms	(+.f64 (*.f64 y y) x)
117.0ms	(/.f64 (+.f64 x (pow.f64 (sqrt.f64 y) 4)) (/.f64 (+.f64 (.f64 y y) x) (-.f64 x (.f64 y y))))
33.0ms	(pow.f64 (sqrt.f64 y) 4)

Compiler

Compiled 1339 to 851 computations (36.4% saved)

simplify187.0ms (4.4%)

Algorithm

1×	egg-herbie

Counts

196 → 196

Iterations

Useful iterations: 0 (102.0ms)

Iter	Nodes	Cost
0	4943	4469
1	4943	4469

prune244.0ms (5.7%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	196	0	196
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	196	3	199

Error

Counts

199 → 3

Compiler

Compiled 4463 to 760 computations (83% saved)

regimes125.0ms (2.9%)

Accuracy

Total 0.0b remaining (68.6%)

Threshold costs 0.0b (68.6%)

Compiler

Compiled 369 to 262 computations (29% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	24	25
1	24	25

end0.0ms (0%)

sample1.1s (26.7%)

Algorithm

1×

intervals

Results

249.0ms	8000×	body	128	valid
0.0ms	5×	body	128	invalid

Compiler

Compiled 102 to 73 computations (28.4% saved)

Details

analyze271.0ms (6.4%)

sample21.0ms (0.5%)

simplify20.0ms (0.5%)

prune3.0ms (0.1%)

localize7.0ms (0.2%)

rewrite27.0ms (0.6%)

series125.0ms (2.9%)

simplify101.0ms (2.4%)

prune28.0ms (0.7%)

localize17.0ms (0.4%)

rewrite178.0ms (4.2%)

series680.0ms (16%)

simplify113.0ms (2.7%)

prune139.0ms (3.3%)

localize23.0ms (0.5%)

rewrite372.0ms (8.7%)

series434.0ms (10.2%)

simplify187.0ms (4.4%)

prune244.0ms (5.7%)

regimes125.0ms (2.9%)

bsearch0.0ms (0%)

simplify4.0ms (0.1%)

end0.0ms (0%)

sample1.1s (26.7%)

Profiling