Details

analyze164.0ms (11.5%)

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)

sample13.0ms (0.9%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 23 to 19 computations (17.4% saved)

simplify8.0ms (0.5%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	24	13
1	24	13

prune7.0ms (0.5%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

2 → 1

Compiler

Compiled 20 to 15 computations (25% saved)

localize7.0ms (0.5%)

Local error

Found 1 expressions with local error:

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

rewrite8.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-log-exp_binary64_14098`
3×	`sum-log_binary64_14150`
1×	`add-cbrt-cube_binary64_14095` `flip-+_binary64_14033` `add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059` `pow1_binary64_14120` `associate-+l+_binary64_13992` `+-commutative_binary64_13989` `add-sqr-sqrt_binary64_14081` `flip3-+_binary64_14062` `add-exp-log_binary64_14097`

Counts

1 → 13

Calls

1 calls:

7.0ms

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

series22.0ms (1.5%)

Counts

1 → 3

Calls

1 calls:

22.0ms

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

simplify89.0ms (6.2%)

Algorithm

1×	egg-herbie

Counts

16 → 16

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4982	281
1	4982	281

prune15.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	15	1	16
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	15	2	17

Error

Counts

17 → 2

Compiler

Compiled 265 to 148 computations (44.2% saved)

localize13.0ms (0.9%)

Local error

Found 4 expressions with local error:

0.1b	(.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2))))
0.1b	(.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))
1.8b	(-.f64 (.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4))
30.0b	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))

rewrite90.0ms (6.3%)

Algorithm

1×	rewrite-expression-head

Rules

28×	`distribute-rgt-in_binary64_14009` `distribute-lft-in_binary64_14008` `associate-*r/_binary64_14001`
20×	`add-cbrt-cube_binary64_14095` `add-exp-log_binary64_14097`
18×	`pow1_binary64_14120`
17×	`add-sqr-sqrt_binary64_14081`
16×	`add-cube-cbrt_binary64_14094` `*-un-lft-identity_binary64_14059`
12×	`flip-+_binary64_14033` `flip3-+_binary64_14062`
9×	`prod-exp_binary64_14108` `cbrt-unprod_binary64_14092` `times-frac_binary64_14065` `pow-prod-down_binary64_14130`
8×	`frac-times_binary64_14069` `associate--l+_binary64_13996`
7×	`cancel-sign-sub-inv_binary64_14025`
6×	`add-log-exp_binary64_14098` `associate-l_binary64_14000`
4×	`associate-*l/_binary64_14002`
3×	`flip--_binary64_14034` `unpow-prod-down_binary64_14138` `associate-/r_binary64_14003` `flip3--_binary64_14063` `associate-/l_binary64_14004`
2×	`associate-r_binary64_13999` `associate-/l/_binary64_14006` `*-commutative_binary64_13990` `associate-/r/_binary64_14005`
1×	`frac-2neg_binary64_14070` `div-exp_binary64_14110` `sqr-pow_binary64_14031` `div-sub_binary64_14064` `div-inv_binary64_14056` `clear-num_binary64_14058` `cbrt-undiv_binary64_14093` `unswap-sqr_binary64_14027` `diff-log_binary64_14151` `sub-neg_binary64_14052`

Counts

4 → 126

Calls

4 calls:

28.0ms	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))
17.0ms	(.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))
16.0ms	(-.f64 (.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4))
14.0ms	(.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2))))

series151.0ms (10.6%)

Counts

4 → 12

Calls

4 calls:

68.0ms	(/.f64 (-.f64 (.f64 x (.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4)) (-.f64 (.f64 x (+.f64 x 2)) (*.f64 y y)))
54.0ms	(-.f64 (.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2)))) (pow.f64 y 4))
16.0ms	(.f64 x (.f64 x (*.f64 (+.f64 x 2) (+.f64 x 2))))
13.0ms	(.f64 x (.f64 (+.f64 x 2) (+.f64 x 2)))

simplify97.0ms (6.8%)

Algorithm

1×	egg-herbie

Counts

138 → 138

Iterations

Useful iterations: 0 (65.0ms)

Iter	Nodes	Cost
0	4962	3193
1	4962	3193

prune195.0ms (13.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	138	0	138
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	138	2	140

Error

Counts

140 → 2

Compiler

Compiled 4369 to 2725 computations (37.6% saved)

regimes64.0ms (4.5%)

Accuracy

Total 0.0b remaining (62.1%)

Threshold costs 0.0b (62.1%)

Compiler

Compiled 391 to 302 computations (22.8% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	12	16
1	12	16

end0.0ms (0%)

sample485.0ms (34%)

Algorithm

1×

intervals

Results

230.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 103 to 79 computations (23.3% saved)

Details

analyze164.0ms (11.5%)

sample13.0ms (0.9%)

simplify8.0ms (0.5%)

prune7.0ms (0.5%)

localize7.0ms (0.5%)

rewrite8.0ms (0.5%)

series22.0ms (1.5%)

simplify89.0ms (6.2%)

prune15.0ms (1.1%)

localize13.0ms (0.9%)

rewrite90.0ms (6.3%)

series151.0ms (10.6%)

simplify97.0ms (6.8%)

prune195.0ms (13.7%)

regimes64.0ms (4.5%)

bsearch0.0ms (0%)

simplify2.0ms (0.2%)

end0.0ms (0%)

sample485.0ms (34%)

Profiling