Details

analyze258.0ms (8.9%)

Algorithm

1×	search
2×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	5006	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%	62.4%	12.6%	6
25%	40.6%	34.4%	7
25%	32.8%	42.2%	8
25%	23.4%	51.6%	9
28.1%	18%	54%	10
31.6%	11.5%	56.9%	11
33.4%	8.9%	57.8%	12
35.2%	5.7%	59.1%	13
36.1%	4.4%	59.4%	14

Compiler

Compiled 8 to 8 computations (0% saved)

sample24.0ms (0.8%)

Algorithm

1×

intervals

Results

14.0ms	256×	body	128	valid
0.0ms	6×	body	128	invalid

Compiler

Compiled 15 to 17 computations (-13.3% saved)

simplify66.0ms (2.3%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (61.0ms)

Iter	Nodes	Cost
0	5130	10

prune2.0ms (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 14 computations (0% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

0.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))

rewrite39.0ms (1.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

15×	`add-sqr-sqrt_binary64_441`
11×	`unpow-prod-down_binary64_498`
9×	`difference-of-squares_binary64_388`
7×	`*-un-lft-identity_binary64_419` `sqr-pow_binary64_391` `cancel-sign-sub-inv_binary64_385`
3×	`add-log-exp_binary64_458` `add-cube-cbrt_binary64_454`
2×	`distribute-lft-out--_binary64_371`
1×	`diff-log_binary64_511` `pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `flip3--_binary64_423` `sub-neg_binary64_412` `flip--_binary64_394`

Counts

1 → 29

Calls

1 calls:

8.0ms

(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 484 to 369 computations (23.8% saved)

series170.0ms (5.9%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

161.0ms

(-.f64 (pow.f64 x 4) (pow.f64 y 4))

Compiler

Compiled 174 to 164 computations (5.7% saved)

simplify51.0ms (1.8%)

Algorithm

1×	egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (41.0ms)

Iter	Nodes	Cost
0	4919	531
1	4919	531

prune31.0ms (1.1%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	39	2	41
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	39	3	42

Error

Counts

42 → 3

Compiler

Compiled 466 to 297 computations (36.3% saved)

localize7.0ms (0.2%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 x x) (.f64 y y))
0.0b	(-.f64 (.f64 x x) (.f64 y y))
0.3b	(.f64 (+.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y)))

rewrite64.0ms (2.2%)

Algorithm

1×	rewrite-expression-head

Error

Rules

7×	`add-log-exp_binary64_458` `add-sqr-sqrt_binary64_441`
5×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `add-cube-cbrt_binary64_454` `*-un-lft-identity_binary64_419`
4×	`flip3--_binary64_423` `flip3-+_binary64_422` `frac-times_binary64_429` `flip--_binary64_394` `flip-+_binary64_393` `associate-r_binary64_359`
3×	`sub-neg_binary64_412` `cancel-sign-sub-inv_binary64_385` `associate-l_binary64_360`
2×	`distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368` `associate-l/_binary64_362` `associate-r/_binary64_361` `difference-of-squares_binary64_388`
1×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `unswap-sqr_binary64_387` `*-commutative_binary64_350` `diff-log_binary64_511` `sum-log_binary64_510` `+-commutative_binary64_349`

Counts

3 → 55

Calls

3 calls:

10.0ms	(.f64 (+.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y)))
5.0ms	(-.f64 (.f64 x x) (.f64 y y))
4.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 1543 to 199 computations (87.1% saved)

series460.0ms (16%)

Error

Counts

3 → 36

Calls

3 calls:

268.0ms	(.f64 (+.f64 (.f64 x x) (.f64 y y)) (-.f64 (.f64 x x) (*.f64 y y)))
94.0ms	(-.f64 (.f64 x x) (.f64 y y))
79.0ms	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 990 to 648 computations (34.5% saved)

simplify61.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

91 → 91

Iterations

Useful iterations: 0 (42.0ms)

Iter	Nodes	Cost
0	5067	1378

prune64.0ms (2.2%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	90	1	91
Fresh	1	0	1
Picked	0	1	1
Done	0	1	1
Total	91	3	94

Error

Counts

94 → 3

Compiler

Compiled 1595 to 412 computations (74.2% saved)

localize9.0ms (0.3%)

Local error

Found 3 expressions with local error:

0.0b	(+.f64 (.f64 y y) (.f64 x x))
0.2b	(.f64 (+.f64 (.f64 y y) (*.f64 x x)) (+.f64 y x))
0.2b	(.f64 (.f64 (+.f64 (.f64 y y) (.f64 x x)) (+.f64 y x)) (-.f64 x y))

rewrite119.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Error

Rules

32×	`frac-times_binary64_429`
25×	`flip3-+_binary64_422` `flip-+_binary64_393`
16×	`associate-*l/_binary64_362`
12×	`add-sqr-sqrt_binary64_441` `*-un-lft-identity_binary64_419`
10×	`pow1_binary64_480` `add-exp-log_binary64_457` `add-cbrt-cube_binary64_455` `associate-*r/_binary64_361`
9×	`flip3--_binary64_423` `flip--_binary64_394` `associate-r_binary64_359`
8×	`add-cube-cbrt_binary64_454`
6×	`cancel-sign-sub-inv_binary64_385`
5×	`add-log-exp_binary64_458` `distribute-rgt-in_binary64_369` `distribute-lft-in_binary64_368`
4×	`pow-prod-down_binary64_490` `prod-exp_binary64_468` `cbrt-unprod_binary64_452` `associate-l_binary64_360`
2×	`sub-neg_binary64_412` `*-commutative_binary64_350`
1×	`difference-of-squares_binary64_388` `distribute-lft-out--_binary64_371` `unswap-sqr_binary64_387` `distribute-lft-out_binary64_370` `sum-log_binary64_510` `+-commutative_binary64_349`

Counts

3 → 94

Calls

3 calls:

14.0ms	(.f64 (.f64 (+.f64 (.f64 y y) (.f64 x x)) (+.f64 y x)) (-.f64 x y))
9.0ms	(.f64 (+.f64 (.f64 y y) (*.f64 x x)) (+.f64 y x))
4.0ms	(+.f64 (.f64 y y) (.f64 x x))

Compiler

Compiled 3061 to 509 computations (83.4% saved)

series458.0ms (15.9%)

Error

Counts

3 → 48

Calls

3 calls:

270.0ms	(.f64 (.f64 (+.f64 (.f64 y y) (.f64 x x)) (+.f64 y x)) (-.f64 x y))
82.0ms	(+.f64 (.f64 y y) (.f64 x x))
75.0ms	(.f64 (+.f64 (.f64 y y) (*.f64 x x)) (+.f64 y x))

Compiler

Compiled 1320 to 904 computations (31.5% saved)

simplify62.0ms (2.1%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (31.0ms)

Iter	Nodes	Cost
0	5010	3098

prune102.0ms (3.6%)

Pruning

3 alts after pruning (0 fresh and 3 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	142	3	145

Error

Counts

145 → 3

Compiler

Compiled 2961 to 804 computations (72.8% saved)

regimes78.0ms (2.7%)

Accuracy

Total 0.0b remaining (81%)

Threshold costs 0.0b (81%)

Compiler

Compiled 530 to 433 computations (18.3% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	17	10
1	17	10

end0.0ms (0%)

sample750.0ms (26%)

Algorithm

1×

intervals

Results

336.0ms	8000×	body	128	valid
14.0ms	352×	body	128	invalid

Compiler

Compiled 115 to 96 computations (16.5% saved)

Details

analyze258.0ms (8.9%)

sample24.0ms (0.8%)

simplify66.0ms (2.3%)

prune2.0ms (0.1%)

localize5.0ms (0.2%)

rewrite39.0ms (1.4%)

series170.0ms (5.9%)

simplify51.0ms (1.8%)

prune31.0ms (1.1%)

localize7.0ms (0.2%)

rewrite64.0ms (2.2%)

series460.0ms (16%)

simplify61.0ms (2.1%)

prune64.0ms (2.2%)

localize9.0ms (0.3%)

rewrite119.0ms (4.1%)

series458.0ms (15.9%)

simplify62.0ms (2.1%)

prune102.0ms (3.6%)

regimes78.0ms (2.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample750.0ms (26%)

Profiling