Details

analyze334.0ms (15.2%)

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
0%	99.9%	0.1%	5
0%	99.9%	0.1%	6
31.2%	68.6%	0.1%	7
37.4%	62.4%	0.1%	8
40.6%	57.7%	1.7%	9
54.6%	41.3%	4%	10
59.3%	36.7%	4%	11
61.6%	32.6%	5.8%	12
68.3%	22.7%	9%	13
71%	20%	9%	14

Compiler

Compiled 9 to 6 computations (33.3% saved)

sample851.0ms (38.8%)

Symmetry

(sort x y)

Results

722.0ms	8256×	body	128	valid
74.0ms	801×	body	128	invalid

Compiler

Compiled 26 to 17 computations (34.6% saved)

simplify7.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	9	7
2	13	7
3	16	7
4	17	7

Stop Event

1×

saturated

Counts

1 → 2

prune3.0ms (0.1%)

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
▶	4.6b	(*.f64 x (/.f64 y z))
	8.3b	(/.f64 (*.f64 x y) z)

Compiler

Compiled 45 to 27 computations (40% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.5b	(*.f64 x (/.f64 y z))

series15.0ms (0.7%)

Counts

1 → 36

Calls

1 calls:

15.0ms

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

rewrite34.0ms (1.6%)

Algorithm

1×	batch-egg-rewrite

Rules

628×	`log1p-expm1-u_binary64`
628×	`expm1-log1p-u_binary64`
349×	`log-prod_binary64`
119×	`expm1-udef_binary64`
119×	`log1p-udef_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1686	7

Stop Event

1×	node limit

Counts

1 → 27

Calls

1 calls:

34.0ms

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

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

63 → 29

prune19.0ms (0.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	25	4	29
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	25	6	31

Error

0.0b

Counts

31 → 6

Alt Table

Status	Error	Program
✓	4.6b	(*.f64 x (/.f64 y z))
	8.3b	(/.f64 (*.f64 x y) z)
	27.6b	(pow.f64 (sqrt.f64 (/.f64 x (/.f64 z y))) 2)
	5.2b	(pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) 3)
▶	4.4b	(/.f64 x (/.f64 z y))
	5.8b	(*.f64 y (/.f64 x z))

Compiler

Compiled 350 to 159 computations (54.6% saved)

localize3.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	4.3b	(/.f64 x (/.f64 z y))

series13.0ms (0.6%)

Counts

1 → 36

Calls

1 calls:

13.0ms

(/.f64 x (/.f64 z y))

rewrite38.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

724×	`log1p-expm1-u_binary64`
724×	`expm1-log1p-u_binary64`
125×	`expm1-udef_binary64`
125×	`log1p-udef_binary64`
69×	`add-sqr-sqrt_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1932	7

Stop Event

1×	node limit

Counts

1 → 43

Calls

1 calls:

38.0ms

(/.f64 x (/.f64 z y))

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

79 → 44

prune25.0ms (1.2%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	42	2	44
Fresh	0	4	4
Picked	0	1	1
Done	0	1	1
Total	42	8	50

Error

Counts

50 → 8

Alt Table

Status	Error	Program
✓	4.6b	(*.f64 x (/.f64 y z))
	8.3b	(/.f64 (*.f64 x y) z)
	27.6b	(pow.f64 (sqrt.f64 (/.f64 x (/.f64 z y))) 2)
▶	5.2b	(pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) 3)
✓	4.4b	(/.f64 x (/.f64 z y))
	5.8b	(*.f64 y (/.f64 x z))
	48.3b	(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) (/.f64 1 y)))
	8.5b	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))

Compiler

Compiled 563 to 258 computations (54.2% saved)

localize7.0ms (0.3%)

Local error

Found 3 expressions with local error:

New	Error	Program
✓	0.6b	(pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) 3)
	4.3b	(/.f64 x (/.f64 z y))
✓	11.4b	(cbrt.f64 (/.f64 x (/.f64 z y)))

series102.0ms (4.6%)

Counts

2 → 0

Calls

2 calls:

70.0ms	(pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) 3)
31.0ms	(cbrt.f64 (/.f64 x (/.f64 z y)))

rewrite49.0ms (2.3%)

Algorithm

1×	batch-egg-rewrite

Rules

898×	`log1p-expm1-u_binary64`
898×	`expm1-log1p-u_binary64`
91×	`egg-rr`
88×	`add-sqr-sqrt_binary64`
83×	`add-cbrt-cube_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	16
1	193	16
2	2452	16

Stop Event

1×	node limit

Counts

2 → 91

Calls

2 calls:

48.0ms	(pow.f64 (cbrt.f64 (/.f64 x (/.f64 z y))) 3)
48.0ms	(cbrt.f64 (/.f64 x (/.f64 z y)))

simplify12.0ms (0.5%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0

Stop Event

1×

saturated

Counts

91 → 91

prune70.0ms (3.2%)

Pruning

6 alts after pruning (4 fresh and 2 done)

	Pruned	Kept	Total
New	134	1	135
Fresh	2	3	5
Picked	1	0	1
Done	0	2	2
Total	137	6	143

Error

Counts

143 → 6

Alt Table

Status	Error	Program
✓	4.6b	(*.f64 x (/.f64 y z))
	8.3b	(/.f64 (*.f64 x y) z)
▶	5.8b	(/.f64 (/.f64 x z) (/.f64 1 y))
✓	4.4b	(/.f64 x (/.f64 z y))
	48.3b	(*.f64 (/.f64 (sqrt.f64 x) z) (/.f64 (sqrt.f64 x) (/.f64 1 y)))
	8.5b	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))

Compiler

Compiled 1689 to 698 computations (58.7% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.6b	(/.f64 (/.f64 x z) (/.f64 1 y))

series12.0ms (0.6%)

Counts

1 → 36

Calls

1 calls:

12.0ms

(/.f64 (/.f64 x z) (/.f64 1 y))

rewrite42.0ms (1.9%)

Algorithm

1×	batch-egg-rewrite

Rules

871×	`log1p-expm1-u_binary64`
871×	`expm1-log1p-u_binary64`
86×	`add-sqr-sqrt_binary64`
79×	`add-cbrt-cube_binary64`
79×	`add-log-exp_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	8	10
1	172	7
2	2381	7

Stop Event

1×	node limit

Counts

1 → 43

Calls

1 calls:

41.0ms

(/.f64 (/.f64 x z) (/.f64 1 y))

simplify14.0ms (0.6%)

Algorithm

1×	egg-herbie

Rules

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

79 → 44

prune27.0ms (1.2%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	43	1	44
Fresh	1	2	3
Picked	0	1	1
Done	1	1	2
Total	45	5	50

Error

Counts

50 → 5

Alt Table

Status	Error	Program
	8.3b	(/.f64 (*.f64 x y) z)
✓	5.8b	(/.f64 (/.f64 x z) (/.f64 1 y))
✓	4.4b	(/.f64 x (/.f64 z y))
	8.5b	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))
	4.7b	(.f64 x (.f64 (pow.f64 z -1) y))

Compiler

Compiled 510 to 238 computations (53.3% saved)

regimes257.0ms (11.7%)

Accuracy

Total 0.5b remaining (96.4%)

Threshold costs 0.5b (96.4%)

Counts

26 → 5

Compiler

Compiled 1417 to 988 computations (30.3% saved)

bsearch1.0ms (0%)

Compiler: Compiled 8 to 5 computations (37.5% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`1-exp_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	92
1	31	92

Stop Event

1×

saturated

end224.0ms (10.2%)

Compiler: Compiled 312 to 145 computations (53.5% saved)

Details

analyze334.0ms (15.2%)

sample851.0ms (38.8%)

simplify7.0ms (0.3%)

prune3.0ms (0.1%)

localize3.0ms (0.2%)

series15.0ms (0.7%)

rewrite34.0ms (1.6%)

simplify12.0ms (0.5%)

prune19.0ms (0.8%)

localize3.0ms (0.2%)

series13.0ms (0.6%)

rewrite38.0ms (1.7%)

simplify12.0ms (0.5%)

prune25.0ms (1.2%)

localize7.0ms (0.3%)

series102.0ms (4.6%)

rewrite49.0ms (2.3%)

simplify12.0ms (0.5%)

prune70.0ms (3.2%)

localize5.0ms (0.2%)

series12.0ms (0.6%)

rewrite42.0ms (1.9%)

simplify14.0ms (0.6%)

prune27.0ms (1.2%)

regimes257.0ms (11.7%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end224.0ms (10.2%)

Profiling