Details

analyze140.0ms (10.8%)

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
40.6%	59.3%	0.1%	6
53.1%	45.3%	1.7%	7
62.4%	32.8%	4.8%	8
69.5%	22.6%	7.9%	9
74.5%	16.4%	9.1%	10
78.2%	11.1%	10.6%	11
80.9%	8.2%	10.9%	12
82.8%	5.5%	11.7%	13
84.1%	4.1%	11.8%	14

Compiler

Compiled 10 to 6 computations (40% saved)

sample21.0ms (1.6%)

Algorithm

1×

intervals

Results

7.0ms

256×

body

128

valid

Compiler

Compiled 21 to 13 computations (38.1% saved)

simplify13.0ms (1%)

Algorithm

1×	egg-herbie

Rules

6×	`+-commutative_binary64`
6×	`*-commutative_binary64`
6×	`distribute-rgt-in_binary64`
4×	`associate-r_binary64`
4×	`associate-l_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	11	10
2	20	10
3	26	10
4	34	10
5	36	10
6	42	10
7	45	10
8	47	10
9	45	10

prune2.0ms (0.1%)

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

Alt Table

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

Compiler

Compiled 27 to 15 computations (44.4% saved)

localize4.0ms (0.3%)

Local error

Found 2 expressions with local error:

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

rewrite16.0ms (1.3%)

Algorithm

1×	rewrite-expression-head

Error

Rules

9×	`add-log-exp_binary64`
4×	`*-un-lft-identity_binary64`
4×	`sum-log_binary64`
2×	`+-commutative_binary64`
2×	`flip-+_binary64`

Counts

2 → 25

Calls

2 calls:

5.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
3.0ms	(+.f64 (*.f64 x y) x)

Compiler

Compiled 356 to 88 computations (75.3% saved)

series32.0ms (2.5%)

Error

Counts

2 → 21

Calls

2 calls:

17.0ms	(+.f64 (+.f64 (*.f64 x y) x) y)
10.0ms	(+.f64 (*.f64 x y) x)

Compiler

Compiled 312 to 180 computations (42.3% saved)

simplify81.0ms (6.3%)

Algorithm

1×	egg-herbie

Rules

422×	`associate--l+_binary64`
362×	`sub-neg_binary64`
338×	`distribute-rgt-in_binary64`
338×	`unsub-neg_binary64`
302×	`distribute-lft-in_binary64`

Counts

46 → 32

Iterations

Useful iterations: 3 (0.0ms)

Iter	Nodes	Cost
0	59	547
1	159	520
2	497	514
3	1734	511
4	2860	511
5	4728	511
6	5054	511

prune14.0ms (1.1%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	31	1	32
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	31	2	33

Error

Counts

33 → 2

Alt Table

Status	Error	Program
▶	46.3b	(+.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (.f64 (.f64 x x) (+.f64 1 (-.f64 (.f64 y y) y)))) y)
✓	0.0b	(+.f64 (+.f64 (*.f64 x y) x) y)

Compiler

Compiled 325 to 111 computations (65.8% saved)

localize14.0ms (1%)

Local error

Found 4 expressions with local error:

0.2b	(pow.f64 (*.f64 y x) 3)
3.8b	(+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))
9.6b	(.f64 (.f64 x x) (+.f64 1 (-.f64 (*.f64 y y) y)))
43.6b	(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (.f64 (.f64 x x) (+.f64 1 (-.f64 (.f64 y y) y))))

rewrite95.0ms (7.4%)

Algorithm

1×	rewrite-expression-head

Error

Rules

34×	`*-un-lft-identity_binary64`
21×	`add-cbrt-cube_binary64`
21×	`add-exp-log_binary64`
19×	`cube-prod_binary64`
19×	`unpow-prod-down_binary64`

Counts

4 → 114

Calls

4 calls:

16.0ms	(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (.f64 (.f64 x x) (+.f64 1 (-.f64 (.f64 y y) y))))
9.0ms	(.f64 (.f64 x x) (+.f64 1 (-.f64 (*.f64 y y) y)))
7.0ms	(+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))
3.0ms	(pow.f64 (*.f64 y x) 3)

Compiler

Compiled 2960 to 1380 computations (53.4% saved)

series132.0ms (10.2%)

Error

Counts

4 → 36

Calls

4 calls:

45.0ms	(/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (.f64 (.f64 x x) (+.f64 1 (-.f64 (.f64 y y) y))))
29.0ms	(+.f64 (pow.f64 (*.f64 y x) 3) (pow.f64 x 3))
28.0ms	(.f64 (.f64 x x) (+.f64 1 (-.f64 (*.f64 y y) y)))
16.0ms	(pow.f64 (*.f64 y x) 3)

Compiler

Compiled 1612 to 1077 computations (33.2% saved)

simplify129.0ms (10%)

Algorithm

1×	egg-herbie

Rules

347×	`associate-/l/_binary64`
274×	`log-prod_binary64`
245×	`cancel-sign-sub-inv_binary64`
234×	`unswap-sqr_binary64`
225×	`times-frac_binary64`

Counts

150 → 135

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	183	3620
1	467	3224
2	2286	2885
3	4741	2885
4	5117	2885

prune61.0ms (4.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	135	0	135
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	135	2	137

Error

Counts

137 → 2

Alt Table

Status	Error	Program
✓	46.3b	(+.f64 (/.f64 (+.f64 (pow.f64 (.f64 y x) 3) (pow.f64 x 3)) (.f64 (.f64 x x) (+.f64 1 (-.f64 (.f64 y y) y)))) y)
✓	0.0b	(+.f64 (+.f64 (*.f64 x y) x) y)

Compiler

Compiled 1919 to 984 computations (48.7% saved)

regimes72.0ms (5.6%)

Accuracy

Total 0.0b remaining (5.4%)

Threshold costs 0.0b (5.4%)

Compiler

Compiled 888 to 561 computations (36.8% saved)

simplify3.0ms (0.2%)

Algorithm

1×	egg-herbie

Rules

2×	`+-commutative_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	10
1	9	10
2	9	10

end6.0ms (0.5%)

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

sample457.0ms (35.4%)

Algorithm

1×

intervals

Results

211.0ms	7999×	body	128	valid
2.0ms	75×	body	128	invalid
0.0ms	1×	body	512	valid

Compiler

Compiled 55 to 34 computations (38.2% saved)

Details

analyze140.0ms (10.8%)

sample21.0ms (1.6%)

simplify13.0ms (1%)

prune2.0ms (0.1%)

localize4.0ms (0.3%)

rewrite16.0ms (1.3%)

series32.0ms (2.5%)

simplify81.0ms (6.3%)

prune14.0ms (1.1%)

localize14.0ms (1%)

rewrite95.0ms (7.4%)

series132.0ms (10.2%)

simplify129.0ms (10%)

prune61.0ms (4.7%)

regimes72.0ms (5.6%)

simplify3.0ms (0.2%)

end6.0ms (0.5%)

sample457.0ms (35.4%)

Profiling