Details

analyze104.0ms (7.3%)

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 10 to 6 computations (40% saved)

sample20.0ms (1.4%)

Algorithm

1×

intervals

Results

6.0ms

256×

body

128

valid

Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify9.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Counts

1 → 0

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	7	10
2	7	10

prune2.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

0.0b

Counts

1 → 1

Alt Table

Status	Error	Program
▶	0.0b	(+.f64 (.f64 x x) (.f64 y y))

Compiler

Compiled 18 to 10 computations (44.4% saved)

localize9.0ms (0.6%)

Local error

Found 1 expressions with local error:

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

rewrite11.0ms (0.8%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

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

Counts

1 → 11

Calls

1 calls:

5.0ms

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

Compiler

Compiled 180 to 40 computations (77.8% saved)

series27.0ms (1.9%)

Error

0.0b

Counts

1 → 12

Calls

1 calls:

23.0ms

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

Compiler

Compiled 153 to 119 computations (22.2% saved)

simplify91.0ms (6.4%)

Algorithm

1×	egg-herbie

Rules

836×	`unswap-sqr_binary64`
336×	`cancel-sign-sub-inv_binary64`
248×	`distribute-rgt-out_binary64`
245×	`distribute-rgt-in_binary64`
222×	`*-commutative_binary64`

Counts

23 → 20

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	31	292
1	108	247
2	273	247
3	812	247
4	1976	247
5	4695	247
6	4994	247
7	4927	247

prune12.0ms (0.8%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	19	1	20
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	19	2	21

Error

0.0b

Counts

21 → 2

Alt Table

Status	Error	Program
✓	0.0b	(+.f64 (.f64 x x) (.f64 y y))
▶	44.1b	(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 y y) (*.f64 x x)))))

Compiler

Compiled 183 to 76 computations (58.5% saved)

localize13.0ms (0.9%)

Local error

Found 4 expressions with local error:

1.2b	(+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 y y) (*.f64 x x))))
2.2b	(-.f64 (pow.f64 y 4) (.f64 (.f64 y y) (*.f64 x x)))
8.0b	(.f64 (.f64 y y) (*.f64 x x))
42.2b	(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 y y) (*.f64 x x)))))

rewrite138.0ms (9.7%)

Algorithm

1×	rewrite-expression-head

Error

0.0b

Rules

49×	`*-un-lft-identity_binary64`
32×	`pow1_binary64`
20×	`times-frac_binary64`
18×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
17×	`distribute-lft-out_binary64`

Counts

4 → 102

Calls

4 calls:

16.0ms	(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 y y) (*.f64 x x)))))
9.0ms	(.f64 (.f64 y y) (*.f64 x x))
8.0ms	(+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 y y) (*.f64 x x))))
5.0ms	(-.f64 (pow.f64 y 4) (.f64 (.f64 y y) (*.f64 x x)))

Compiler

Compiled 3110 to 1661 computations (46.6% saved)

series203.0ms (14.3%)

Error

0.0b

Counts

4 → 48

Calls

4 calls:

68.0ms	(+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 y y) (*.f64 x x))))
60.0ms	(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 y y) (*.f64 x x)))))
41.0ms	(-.f64 (pow.f64 y 4) (.f64 (.f64 y y) (*.f64 x x)))
25.0ms	(.f64 (.f64 y y) (*.f64 x x))

Compiler

Compiled 1519 to 1157 computations (23.8% saved)

simplify175.0ms (12.3%)

Algorithm

1×	egg-herbie

Rules

514×	`distribute-rgt-in_binary64`
483×	`distribute-lft-in_binary64`
321×	`cancel-sign-sub-inv_binary64`
201×	`unswap-sqr_binary64`
171×	`exp-prod_binary64`

Counts

150 → 112

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	152	3909
1	381	3676
2	1358	3631
3	4624	3625
4	4989	3625
5	5013	3625

prune58.0ms (4.1%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	112	0	112
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	112	2	114

Error

0.0b

Counts

114 → 2

Alt Table

Status	Error	Program
	0.0b	(+.f64 (.f64 x x) (.f64 y y))
	44.1b	(/.f64 (+.f64 (pow.f64 x 6) (pow.f64 y 6)) (+.f64 (pow.f64 x 4) (-.f64 (pow.f64 y 4) (.f64 (.f64 y y) (*.f64 x x)))))

Compiler

Compiled 1901 to 1043 computations (45.1% saved)

regimes69.0ms (4.9%)

Accuracy

Total 0.0b remaining (22.7%)

Threshold costs 0.0b (22.7%)

Compiler

Compiled 555 to 385 computations (30.6% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

1×	`+-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	7	10
2	7	10

end6.0ms (0.4%)

Remove: (sort x y)
Compiler: Compiled 27 to 15 computations (44.4% saved)

sample470.0ms (33.2%)

Algorithm

1×

intervals

Results

190.0ms	8000×	body	128	valid
0.0ms	3×	body	128	invalid

Compiler

Compiled 55 to 35 computations (36.4% saved)

Details

analyze104.0ms (7.3%)

sample20.0ms (1.4%)

simplify9.0ms (0.6%)

prune2.0ms (0.1%)

localize9.0ms (0.6%)

rewrite11.0ms (0.8%)

series27.0ms (1.9%)

simplify91.0ms (6.4%)

prune12.0ms (0.8%)

localize13.0ms (0.9%)

rewrite138.0ms (9.7%)

series203.0ms (14.3%)

simplify175.0ms (12.3%)

prune58.0ms (4.1%)

regimes69.0ms (4.9%)

simplify3.0ms (0.2%)

end6.0ms (0.4%)

sample470.0ms (33.2%)

Profiling