Details

analyze109.0ms (5.3%)

Algorithm

1×

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%	50%	25.1%	6
25%	31.2%	43.8%	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 8 to 6 computations (25% saved)

sample29.0ms (1.4%)

Algorithm

1×

intervals

Results

17.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify179.0ms (8.8%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

prune4.0ms (0.2%)

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

Merged error: 0.0b

Counts

2 → 1

Compiler

Compiled 14 to 10 computations (28.6% saved)

localize9.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite10.0ms (0.5%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64_6596`
1×	`flip-+_binary64_6531` `add-cbrt-cube_binary64_6593` `add-cube-cbrt_binary64_6592` `pow1_binary64_6618` `sum-log_binary64_6648` `add-exp-log_binary64_6595` `flip3-+_binary64_6560` `+-commutative_binary64_6487` `add-sqr-sqrt_binary64_6579` `*-un-lft-identity_binary64_6557`

Counts

1 → 11

Calls

1 calls:

8.0ms

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

series39.0ms (1.9%)

Counts

1 → 3

Calls

1 calls:

39.0ms

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

simplify140.0ms (6.9%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (126.0ms)

Iter	Nodes	Cost
0	4921	193
1	4921	193

prune22.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	13	1	14
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	13	2	15

Merged error: 0.0b

Counts

15 → 2

Compiler

Compiled 179 to 53 computations (70.4% saved)

localize18.0ms (0.9%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 y y))
2.0b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
32.9b	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (.f64 x x) (.f64 y y)))

rewrite83.0ms (4.1%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`add-sqr-sqrt_binary64_6579`
70×	`difference-of-squares_binary64_6526`
56×	`times-frac_binary64_6563`
51×	`unpow-prod-down_binary64_6636`
49×	`*-un-lft-identity_binary64_6557`
37×	`sqr-pow_binary64_6529`
25×	`add-cube-cbrt_binary64_6592`
14×	`associate-/l*_binary64_6502`
12×	`distribute-lft-out--_binary64_6509`
8×	`cancel-sign-sub-inv_binary64_6523`
7×	`add-log-exp_binary64_6596`
5×	`add-cbrt-cube_binary64_6593` `add-exp-log_binary64_6595`
4×	`flip--_binary64_6532` `associate-/r*_binary64_6501` `flip3--_binary64_6561`
3×	`pow1_binary64_6618`
2×	`sub-neg_binary64_6550` `diff-log_binary64_6649` `associate-/r/_binary64_6503` `associate-/l/_binary64_6504`
1×	`div-exp_binary64_6608` `div-sub_binary64_6562` `div-inv_binary64_6554` `clear-num_binary64_6556` `cbrt-undiv_binary64_6591` `frac-2neg_binary64_6568`

Counts

3 → 133

Calls

3 calls:

31.0ms	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (.f64 x x) (.f64 y y)))
16.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
7.0ms	(-.f64 (.f64 x x) (.f64 y y))

series193.0ms (9.5%)

Counts

3 → 9

Calls

3 calls:

92.0ms	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (.f64 x x) (.f64 y y)))
60.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
40.0ms	(-.f64 (.f64 x x) (.f64 y y))

simplify149.0ms (7.3%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (80.0ms)

Iter	Nodes	Cost
0	4940	3682
1	4940	3682

prune239.0ms (11.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	142	0	142
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	142	2	144

Merged error: 0.0b

Counts

144 → 2

Compiler

Compiled 3282 to 1218 computations (62.9% saved)

regimes94.0ms (4.6%)

Compiler: Compiled 190 to 150 computations (21.1% saved)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

end0.0ms (0%)

sample718.0ms (35.2%)

Algorithm

1×

intervals

Results

336.0ms	8000×	body	128	valid
0.0ms	2×	body	128	invalid

Compiler

Compiled 47 to 37 computations (21.3% saved)

Details

analyze109.0ms (5.3%)

sample29.0ms (1.4%)

simplify179.0ms (8.8%)

prune4.0ms (0.2%)

localize9.0ms (0.4%)

rewrite10.0ms (0.5%)

series39.0ms (1.9%)

simplify140.0ms (6.9%)

prune22.0ms (1.1%)

localize18.0ms (0.9%)

rewrite83.0ms (4.1%)

series193.0ms (9.5%)

simplify149.0ms (7.3%)

prune239.0ms (11.7%)

regimes94.0ms (4.6%)

bsearch0.0ms (0%)

simplify4.0ms (0.2%)

end0.0ms (0%)

sample718.0ms (35.2%)

Profiling