Details

analyze64.0ms (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)

sample12.0ms (1%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 15 to 13 computations (13.3% saved)

simplify8.0ms (0.6%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (2.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

prune2.0ms (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)

localize5.0ms (0.4%)

Local error

Found 1 expressions with local error:

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

rewrite5.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

3×	`add-log-exp_binary64`
1×	`flip3-+_binary64` `*-un-lft-identity_binary64` `pow1_binary64` `add-cube-cbrt_binary64` `add-exp-log_binary64` `add-cbrt-cube_binary64` `add-sqr-sqrt_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64`

Counts

1 → 11

Calls

1 calls:

4.0ms

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

series42.0ms (3.5%)

Counts

1 → 3

Calls

1 calls:

42.0ms

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

simplify99.0ms (8.2%)

Algorithm

1×	egg-herbie

Counts

14 → 14

Iterations

Useful iterations: 0 (89.0ms)

Iter	Nodes	Cost
0	4876	193
1	4876	193

prune18.0ms (1.5%)

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 316 to 120 computations (62% saved)

localize10.0ms (0.8%)

Local error

Found 3 expressions with local error:

0.0b	(-.f64 (.f64 x x) (.f64 y y))
2.7b	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
33.6b	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (.f64 x x) (.f64 y y)))

rewrite51.0ms (4.3%)

Algorithm

1×	rewrite-expression-head

Rules

97×	`add-sqr-sqrt_binary64`
70×	`difference-of-squares_binary64`
56×	`times-frac_binary64`
51×	`unpow-prod-down_binary64`
49×	`*-un-lft-identity_binary64`
37×	`sqr-pow_binary64`
25×	`add-cube-cbrt_binary64`
14×	`associate-/l*_binary64`
12×	`distribute-lft-out--_binary64`
8×	`cancel-sign-sub-inv_binary64`
7×	`add-log-exp_binary64`
5×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
4×	`associate-/r*_binary64` `flip3--_binary64` `flip--_binary64`
3×	`pow1_binary64`
2×	`associate-/l/_binary64` `sub-neg_binary64` `diff-log_binary64` `associate-/r/_binary64`
1×	`cbrt-undiv_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

3 → 133

Calls

3 calls:

17.0ms	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (.f64 x x) (.f64 y y)))
10.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
4.0ms	(-.f64 (.f64 x x) (.f64 y y))

series237.0ms (19.7%)

Counts

3 → 9

Calls

3 calls:

112.0ms	(/.f64 (-.f64 (pow.f64 x 4) (pow.f64 y 4)) (-.f64 (.f64 x x) (.f64 y y)))
77.0ms	(-.f64 (pow.f64 x 4) (pow.f64 y 4))
47.0ms	(-.f64 (.f64 x x) (.f64 y y))

simplify86.0ms (7.1%)

Algorithm

1×	egg-herbie

Counts

142 → 142

Iterations

Useful iterations: 0 (49.0ms)

Iter	Nodes	Cost
0	4921	3682
1	4921	3682

prune134.0ms (11.1%)

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)

regimes40.0ms (3.3%)

Compiler: Compiled 140 to 110 computations (21.4% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	7	10
1	7	10

end0.0ms (0%)

sample389.0ms (32.4%)

Algorithm

1×

intervals

Results

190.0ms	8000×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 37 to 29 computations (21.6% saved)

Details

analyze64.0ms (5.3%)

sample12.0ms (1%)

simplify8.0ms (0.6%)

prune2.0ms (0.2%)

localize5.0ms (0.4%)

rewrite5.0ms (0.4%)

series42.0ms (3.5%)

simplify99.0ms (8.2%)

prune18.0ms (1.5%)

localize10.0ms (0.8%)

rewrite51.0ms (4.3%)

series237.0ms (19.7%)

simplify86.0ms (7.1%)

prune134.0ms (11.1%)

regimes40.0ms (3.3%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample389.0ms (32.4%)

Profiling