Details

analyze110.0ms (6.6%)

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
50%	50%	0.1%	6
62.4%	31.2%	6.3%	7
71.8%	21.9%	6.3%	8
76.5%	14%	9.5%	9
80.4%	10.1%	9.5%	10
82.3%	6.6%	11%	11
84.1%	4.9%	11%	12
85%	3.2%	11.8%	13
85.8%	2.4%	11.8%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample21.0ms (1.3%)

Algorithm

1×

intervals

Results

7.0ms	256×	body	128	valid
0.0ms	1×	body	128	invalid

Compiler

Compiled 17 to 13 computations (23.5% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

5×	`*-commutative_binary64`
3×	`associate-r_binary64`
3×	`associate-l_binary64`

Counts

1 → 1

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	10	7
2	16	7
3	16	7
4	16	7

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

0.4b

Counts

2 → 1

Alt Table

Status	Error	Program
▶	0.4b	(.f64 (.f64 x 27) y)

Compiler

Compiled 21 to 15 computations (28.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.4b	(.f64 (.f64 x 27) y)

series5.0ms (0.3%)

Counts

1 → 24

Calls

1 calls:

5.0ms

(*.f64 (*.f64 x 27) y)

rewrite5.0ms (0.3%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-r_binary64`
3×	`cbrt-unprod_binary64`

Counts

1 → 20

Calls

1 calls:

4.0ms

(*.f64 (*.f64 x 27) y)

simplify98.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

666×	`associate-*l/_binary64`
617×	`associate-*r/_binary64`
454×	`associate-l_binary64`
380×	`*-commutative_binary64`
308×	`associate-r_binary64`

Counts

44 → 30

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	45	380
1	100	344
2	342	344
3	909	344
4	1091	344
5	1283	344
6	1535	344
7	4481	344
8	4855	344

prune36.0ms (2.2%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	26	4	30
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	26	5	31

Error

0.0b

Counts

31 → 5

Alt Table

Status	Error	Program
▶	0.2b	(.f64 x (.f64 27 y))
✓	0.4b	(.f64 (.f64 x 27) y)
	33.0b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 y x) 3)))
	0.2b	(.f64 27 (.f64 y x))
	15.4b	(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))

Compiler

Compiled 370 to 235 computations (36.5% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 x (.f64 27 y))

series9.0ms (0.6%)

Counts

1 → 24

Calls

1 calls:

9.0ms

(*.f64 x (*.f64 27 y))

rewrite9.0ms (0.6%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-l_binary64`
3×	`cbrt-unprod_binary64`

Counts

1 → 20

Calls

1 calls:

8.0ms

(*.f64 x (*.f64 27 y))

simplify93.0ms (5.6%)

Algorithm

1×	egg-herbie

Rules

525×	`associate-/r/_binary64`
451×	`associate-l_binary64`
384×	`associate-/l*_binary64`
372×	`*-commutative_binary64`
301×	`associate-r_binary64`

Counts

44 → 30

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	42	378
1	90	342
2	302	342
3	821	342
4	1011	342
5	1137	342
6	2002	342
7	4806	342
8	4922	342

prune32.0ms (1.9%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	30	0	30
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	30	5	35

Error

0.0b

Counts

35 → 5

Alt Table

Status	Error	Program
✓	0.2b	(.f64 x (.f64 27 y))
✓	0.4b	(.f64 (.f64 x 27) y)
	33.0b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 y x) 3)))
▶	0.2b	(.f64 27 (.f64 y x))
	15.4b	(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))

Compiler

Compiled 363 to 229 computations (36.9% saved)

localize6.0ms (0.4%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 27 (.f64 y x))

series9.0ms (0.5%)

Counts

1 → 0

Calls

1 calls:

9.0ms

(*.f64 27 (*.f64 y x))

rewrite11.0ms (0.7%)

Algorithm

1×	rewrite-expression-head

Rules

6×	`add-cbrt-cube_binary64`
6×	`add-exp-log_binary64`
6×	`pow1_binary64`
3×	`associate-l_binary64`
3×	`cbrt-unprod_binary64`

Counts

1 → 20

Calls

1 calls:

10.0ms

(*.f64 27 (*.f64 y x))

simplify98.0ms (5.9%)

Algorithm

1×	egg-herbie

Rules

495×	`associate-/l*_binary64`
484×	`cube-div_binary64`
484×	`log-div_binary64`
401×	`*-commutative_binary64`
334×	`associate-l_binary64`

Counts

20 → 20

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	40	210
1	84	174
2	255	174
3	647	174
4	824	174
5	953	174
6	1171	174
7	1550	174
8	2413	174
9	3887	174
10	5001	174

prune26.0ms (1.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	20	0	20
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	20	5	25

Error

0.0b

Counts

25 → 5

Alt Table

Status	Error	Program
✓	0.2b	(.f64 x (.f64 27 y))
✓	0.4b	(.f64 (.f64 x 27) y)
	33.0b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 y x) 3)))
✓	0.2b	(.f64 27 (.f64 y x))
▶	15.4b	(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))

Compiler

Compiled 271 to 172 computations (36.5% saved)

localize11.0ms (0.7%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))
✓	0.5b	(.f64 (.f64 x 27) (sqrt.f64 y))

series46.0ms (2.8%)

Counts

2 → 32

Calls

2 calls:

30.0ms	(.f64 (.f64 x 27) (sqrt.f64 y))
16.0ms	(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))

rewrite31.0ms (1.8%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-cbrt-cube_binary64`
16×	`add-exp-log_binary64`
16×	`pow1_binary64`
12×	`associate-r_binary64`
9×	`cbrt-unprod_binary64`

Counts

2 → 49

Calls

2 calls:

16.0ms	(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))
10.0ms	(.f64 (.f64 x 27) (sqrt.f64 y))

simplify117.0ms (7%)

Algorithm

1×	egg-herbie

Rules

590×	`associate-/r*_binary64`
468×	`log-div_binary64`
391×	`*-commutative_binary64`
345×	`unswap-sqr_binary64`
279×	`sqr-pow_binary64`

Counts

81 → 69

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	73	826
1	175	751
2	623	751
3	893	751
4	1134	751
5	1540	751
6	2538	751
7	4599	751
8	5032	751

prune40.0ms (2.4%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	69	0	69
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	69	5	74

Error

0.0b

Counts

74 → 5

Alt Table

Status	Error	Program
✓	0.2b	(.f64 x (.f64 27 y))
✓	0.4b	(.f64 (.f64 x 27) y)
	33.0b	(cbrt.f64 (.f64 19683 (pow.f64 (.f64 y x) 3)))
✓	0.2b	(.f64 27 (.f64 y x))
✓	15.4b	(.f64 (.f64 (*.f64 x 27) (sqrt.f64 y)) (sqrt.f64 y))

Compiler

Compiled 1025 to 495 computations (51.7% saved)

regimes61.0ms (3.7%)

Accuracy

Total 0.3b remaining (93.3%)

Threshold costs 0.3b (93.3%)

Counts

10 → 1

Compiler

Compiled 605 to 427 computations (29.4% saved)

simplify5.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	8	7
2	8	7

end12.0ms (0.7%)

Remove: (sort x y)
Compiler: Compiled 21 to 15 computations (28.6% saved)

sample751.0ms (45.1%)

Algorithm

1×

intervals

Results

312.0ms	8000×	body	128	valid
3.0ms	86×	body	128	invalid

Compiler

Compiled 59 to 43 computations (27.1% saved)

Details

analyze110.0ms (6.6%)

sample21.0ms (1.3%)

simplify7.0ms (0.4%)

prune2.0ms (0.1%)

localize3.0ms (0.2%)

series5.0ms (0.3%)

rewrite5.0ms (0.3%)

simplify98.0ms (5.9%)

prune36.0ms (2.2%)

localize6.0ms (0.4%)

series9.0ms (0.6%)

rewrite9.0ms (0.6%)

simplify93.0ms (5.6%)

prune32.0ms (1.9%)

localize6.0ms (0.4%)

series9.0ms (0.5%)

rewrite11.0ms (0.7%)

simplify98.0ms (5.9%)

prune26.0ms (1.6%)

localize11.0ms (0.7%)

series46.0ms (2.8%)

rewrite31.0ms (1.8%)

simplify117.0ms (7%)

prune40.0ms (2.4%)

regimes61.0ms (3.7%)

simplify5.0ms (0.3%)

end12.0ms (0.7%)

sample751.0ms (45.1%)

Profiling