Details

analyze162.0ms (5.7%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	40	26
1	40	26
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%	62.4%	12.6%	6
25%	40.6%	34.4%	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 12 to 9 computations (25% saved)

sample20.0ms (0.7%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify7.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

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 → 2

Compiler

Compiled 29 to 22 computations (24.1% saved)

localize5.0ms (0.2%)

Local error

Found 2 expressions with local error:

0.0b	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
0.0b	(*.f64 x (+.f64 x 2))

rewrite41.0ms (1.5%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

6×	`add-sqr-sqrt_binary64_11694` `*-un-lft-identity_binary64_11672`
4×	`pow1_binary64_11733` `add-exp-log_binary64_11710` `add-log-exp_binary64_11711` `add-cbrt-cube_binary64_11708` `add-cube-cbrt_binary64_11707` `associate-r_binary64_11612`
3×	`associate-l_binary64_11613`
2×	`distribute-rgt-in_binary64_11622` `distribute-lft-in_binary64_11621` `flip3-+_binary64_11675` `associate-*r/_binary64_11614` `flip-+_binary64_11646` `associate-+l+_binary64_11605`
1×	`pow-prod-down_binary64_11743` `prod-exp_binary64_11721` `cbrt-unprod_binary64_11705` `unswap-sqr_binary64_11640` `distribute-lft-out_binary64_11623` `*-commutative_binary64_11603` `sum-log_binary64_11763` `+-commutative_binary64_11602`

Counts

2 → 36

Calls

2 calls:

7.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
6.0ms	(*.f64 x (+.f64 x 2))

Compiler

Compiled 583 to 313 computations (46.3% saved)

series184.0ms (6.5%)

Error

0.0b

Counts

2 → 21

Calls

2 calls:

127.0ms	(+.f64 (.f64 x (+.f64 x 2)) (.f64 y y))
43.0ms	(*.f64 x (+.f64 x 2))

Compiler

Compiled 425 to 348 computations (18.1% saved)

simplify62.0ms (2.2%)

Algorithm

1×	egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 0 (51.0ms)

Iter	Nodes	Cost
0	5006	611

prune41.0ms (1.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	56	1	57
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	57	2	59

Error

Counts

59 → 2

Compiler

Compiled 683 to 353 computations (48.3% saved)

localize13.0ms (0.4%)

Local error

Found 4 expressions with local error:

0.0b	(.f64 x (.f64 x (*.f64 (+.f64 2 x) (+.f64 2 x))))
0.1b	(.f64 x (.f64 (+.f64 2 x) (+.f64 2 x)))
1.8b	(-.f64 (.f64 x (.f64 x (*.f64 (+.f64 2 x) (+.f64 2 x)))) (pow.f64 y 4))
28.1b	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 (+.f64 2 x) (+.f64 2 x)))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))

rewrite320.0ms (11.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

28×	`distribute-rgt-in_binary64_11622` `distribute-lft-in_binary64_11621` `associate-*r/_binary64_11614`
20×	`add-exp-log_binary64_11710` `add-cbrt-cube_binary64_11708`
18×	`pow1_binary64_11733`
17×	`add-sqr-sqrt_binary64_11694`
16×	`add-cube-cbrt_binary64_11707` `*-un-lft-identity_binary64_11672`
12×	`flip3-+_binary64_11675` `flip-+_binary64_11646`
9×	`times-frac_binary64_11678` `pow-prod-down_binary64_11743` `prod-exp_binary64_11721` `cbrt-unprod_binary64_11705`
8×	`associate--l+_binary64_11609` `frac-times_binary64_11682`
7×	`cancel-sign-sub-inv_binary64_11638`
6×	`add-log-exp_binary64_11711` `associate-l_binary64_11613`
4×	`associate-*l/_binary64_11615`
3×	`flip3--_binary64_11676` `flip--_binary64_11647` `associate-/l_binary64_11617` `associate-/r_binary64_11616` `unpow-prod-down_binary64_11751`
2×	`associate-/l/_binary64_11619` `associate-/r/_binary64_11618` `associate-r_binary64_11612` `*-commutative_binary64_11603`
1×	`div-exp_binary64_11723` `cbrt-undiv_binary64_11706` `frac-2neg_binary64_11683` `div-sub_binary64_11677` `clear-num_binary64_11671` `div-inv_binary64_11669` `diff-log_binary64_11764` `sub-neg_binary64_11665` `sqr-pow_binary64_11644` `unswap-sqr_binary64_11640`

Counts

4 → 126

Calls

4 calls:

26.0ms	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 (+.f64 2 x) (+.f64 2 x)))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))
18.0ms	(-.f64 (.f64 x (.f64 x (*.f64 (+.f64 2 x) (+.f64 2 x)))) (pow.f64 y 4))
15.0ms	(.f64 x (.f64 (+.f64 2 x) (+.f64 2 x)))
14.0ms	(.f64 x (.f64 x (*.f64 (+.f64 2 x) (+.f64 2 x))))

Compiler

Compiled 4861 to 3050 computations (37.3% saved)

series822.0ms (29%)

Error

Counts

4 → 51

Calls

4 calls:

395.0ms	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 (+.f64 2 x) (+.f64 2 x)))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 2 x)) (*.f64 y y)))
222.0ms	(-.f64 (.f64 x (.f64 x (*.f64 (+.f64 2 x) (+.f64 2 x)))) (pow.f64 y 4))
81.0ms	(.f64 x (.f64 x (*.f64 (+.f64 2 x) (+.f64 2 x))))
68.0ms	(.f64 x (.f64 (+.f64 2 x) (+.f64 2 x)))

Compiler

Compiled 2569 to 1930 computations (24.9% saved)

simplify66.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

177 → 177

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5550	3444

prune258.0ms (9.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	177	0	177
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	177	2	179

Error

Counts

179 → 2

Compiler

Compiled 4878 to 3031 computations (37.9% saved)

regimes128.0ms (4.5%)

Accuracy

Total 0.0b remaining (69.3%)

Threshold costs 0.0b (69.3%)

Compiler

Compiled 707 to 599 computations (15.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	11	13
1	11	13

end0.0ms (0%)

sample700.0ms (24.7%)

Algorithm

1×

intervals

Results

247.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 158 to 132 computations (16.5% saved)

Details

analyze162.0ms (5.7%)

sample20.0ms (0.7%)

simplify7.0ms (0.2%)

prune3.0ms (0.1%)

localize5.0ms (0.2%)

rewrite41.0ms (1.5%)

series184.0ms (6.5%)

simplify62.0ms (2.2%)

prune41.0ms (1.5%)

localize13.0ms (0.4%)

rewrite320.0ms (11.3%)

series822.0ms (29%)

simplify66.0ms (2.3%)

prune258.0ms (9.1%)

regimes128.0ms (4.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample700.0ms (24.7%)

Profiling