Details

analyze73.0ms (4.3%)

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
50%	50%	0.1%	5
56.2%	43.7%	0.1%	6
71.8%	28.1%	0.1%	7
73.4%	25%	1.7%	8
80.4%	16.4%	3.2%	9
80.8%	14%	5.2%	10
84.1%	8.8%	7.1%	11
84.2%	7.4%	8.4%	12
85.8%	4.5%	9.7%	13
85.8%	3.8%	10.4%	14

Compiler

Compiled 8 to 6 computations (25% saved)

sample1.2s (69.8%)

Results

1.1s	8256×	body	128	valid
17.0ms	235×	body	128	invalid

Compiler

Compiled 23 to 17 computations (26.1% saved)

simplify7.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

2×	`associate-/r*_binary64`
1×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	11	7

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (0.2%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Kept	Total
New	2	2
Fresh	1	1
Picked	0	0
Done	0	0
Total	3	3

Error

0.1b

Counts

3 → 2

Alt Table

Status	Error	Program
▶	0.2b	(/.f64 (/.f64 x y) 3)
	0.2b	(/.f64 x (*.f64 y 3))

Compiler

Compiled 40 to 28 computations (30% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 (/.f64 x y) 3)

series8.0ms (0.5%)

Counts

1 → 24

Calls

1 calls:

8.0ms

(/.f64 (/.f64 x y) 3)

rewrite38.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

670×	`log1p-expm1-u_binary64`
670×	`expm1-log1p-u_binary64`
122×	`expm1-udef_binary64`
122×	`log1p-udef_binary64`
112×	`log-div_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	135	7
2	1796	7

Stop Event

1×	node limit

Counts

1 → 29

Calls

1 calls:

37.0ms

(/.f64 (/.f64 x y) 3)

simplify10.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

53 → 30

prune20.0ms (1.2%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	26	4	30
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	26	6	32

Error

Counts

32 → 6

Alt Table

Status	Error	Program
	0.4b	(.f64 x (.f64 (pow.f64 y -1) 1/3))
✓	0.2b	(/.f64 (/.f64 x y) 3)
	1.2b	(.f64 (cbrt.f64 (.f64 (/.f64 x y) 1/3)) (pow.f64 (cbrt.f64 (*.f64 (/.f64 x y) 1/3)) 2))
	0.3b	(*.f64 (/.f64 1/3 y) x)
▶	0.2b	(/.f64 x (*.f64 y 3))
	0.6b	(pow.f64 (/.f64 3 (/.f64 x y)) -1)

Compiler

Compiled 358 to 226 computations (36.9% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (*.f64 y 3))

series6.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

6.0ms

(/.f64 x (*.f64 y 3))

rewrite36.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

637×	`log1p-expm1-u_binary64`
637×	`expm1-log1p-u_binary64`
335×	`log-prod_binary64`
116×	`expm1-udef_binary64`
116×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	127	7
2	1688	7

Stop Event

1×	node limit

Counts

1 → 43

Calls

1 calls:

36.0ms

(/.f64 x (*.f64 y 3))

simplify10.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

67 → 43

prune22.0ms (1.3%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	42	1	43
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	44	5	49

Error

Counts

49 → 5

Alt Table

Status	Error	Program
	0.3b	(*.f64 (/.f64 1 y) (/.f64 x 3))
✓	0.2b	(/.f64 (/.f64 x y) 3)
▶	0.3b	(*.f64 (/.f64 1/3 y) x)
✓	0.2b	(/.f64 x (*.f64 y 3))
	0.6b	(pow.f64 (/.f64 3 (/.f64 x y)) -1)

Compiler

Compiled 491 to 298 computations (39.3% saved)

localize3.0ms (0.2%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(*.f64 (/.f64 1/3 y) x)
✓	0.4b	(/.f64 1/3 y)

series7.0ms (0.4%)

Counts

2 → 24

Calls

2 calls:

6.0ms	(*.f64 (/.f64 1/3 y) x)
1.0ms	(/.f64 1/3 y)

rewrite35.0ms (2.1%)

Algorithm

1×	batch-egg-rewrite

Rules

573×	`log1p-expm1-u_binary64`
573×	`expm1-log1p-u_binary64`
297×	`log-prod_binary64`
163×	`pow2_binary64`
115×	`pow1/3_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	11
1	128	11
2	1571	11

Stop Event

1×	node limit

Counts

2 → 57

Calls

2 calls:

34.0ms	(*.f64 (/.f64 1/3 y) x)
34.0ms	(/.f64 1/3 y)

simplify10.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

81 → 59

prune28.0ms (1.6%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	59	0	59
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	59	5	64

Error

Counts

64 → 5

Alt Table

Status	Error	Program
▶	0.3b	(*.f64 (/.f64 1 y) (/.f64 x 3))
✓	0.2b	(/.f64 (/.f64 x y) 3)
✓	0.3b	(*.f64 (/.f64 1/3 y) x)
✓	0.2b	(/.f64 x (*.f64 y 3))
	0.6b	(pow.f64 (/.f64 3 (/.f64 x y)) -1)

Compiler

Compiled 563 to 410 computations (27.2% saved)

localize4.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	0.3b	(*.f64 (/.f64 1 y) (/.f64 x 3))

series7.0ms (0.4%)

Counts

1 → 24

Calls

1 calls:

7.0ms

(*.f64 (/.f64 1 y) (/.f64 x 3))

rewrite37.0ms (2.2%)

Algorithm

1×	batch-egg-rewrite

Rules

774×	`log1p-expm1-u_binary64`
774×	`expm1-log1p-u_binary64`
142×	`log1p-udef_binary64`
82×	`add-sqr-sqrt_binary64`
76×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	8	7
1	172	7
2	2146	7

Stop Event

1×	node limit

Counts

1 → 48

Calls

1 calls:

36.0ms

(*.f64 (/.f64 1 y) (/.f64 x 3))

simplify13.0ms (0.8%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
2×	`associate-/l*_binary64`
1×	`associate-*r/_binary64`
1×	`associate-*l/_binary64`
1×	`associate-/r/_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	168
1	9	168
2	13	168
3	17	168
4	18	168

Stop Event

1×

saturated

Counts

72 → 50

prune23.0ms (1.3%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	50	0	50
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	50	5	55

Error

Counts

55 → 5

Alt Table

Status	Error	Program
✓	0.3b	(*.f64 (/.f64 1 y) (/.f64 x 3))
✓	0.2b	(/.f64 (/.f64 x y) 3)
✓	0.3b	(*.f64 (/.f64 1/3 y) x)
✓	0.2b	(/.f64 x (*.f64 y 3))
	0.6b	(pow.f64 (/.f64 3 (/.f64 x y)) -1)

Compiler

Compiled 435 to 284 computations (34.7% saved)

regimes57.0ms (3.4%)

Accuracy

Total 0.2b remaining (96.5%)

Threshold costs 0.2b (96.5%)

Counts

15 → 1

Compiler

Compiled 596 to 422 computations (29.2% saved)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7

Stop Event

1×

saturated

end50.0ms (2.9%)

Compiler: Compiled 53 to 39 computations (26.4% saved)

Details

analyze73.0ms (4.3%)

sample1.2s (69.8%)

simplify7.0ms (0.4%)

prune3.0ms (0.2%)

localize3.0ms (0.2%)

series8.0ms (0.5%)

rewrite38.0ms (2.2%)

simplify10.0ms (0.6%)

prune20.0ms (1.2%)

localize3.0ms (0.2%)

series6.0ms (0.4%)

rewrite36.0ms (2.1%)

simplify10.0ms (0.6%)

prune22.0ms (1.3%)

localize3.0ms (0.2%)

series7.0ms (0.4%)

rewrite35.0ms (2.1%)

simplify10.0ms (0.6%)

prune28.0ms (1.6%)

localize4.0ms (0.2%)

series7.0ms (0.4%)

rewrite37.0ms (2.2%)

simplify13.0ms (0.8%)

prune23.0ms (1.3%)

regimes57.0ms (3.4%)

simplify2.0ms (0.1%)

end50.0ms (2.9%)

Profiling