Details

analyze1.0s (28.9%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.8%	0.2%	0
0%	99.8%	0.2%	1
0%	99.8%	0.2%	2
0%	99.8%	0.2%	3
0%	99.8%	0.2%	4
0%	99.8%	0.2%	5
0%	99.8%	0.2%	6
0%	99.8%	0.2%	7
0%	99.8%	0.2%	8
5.8%	94%	0.2%	9
7.6%	92.2%	0.2%	10
11.6%	88.2%	0.2%	11
18.5%	81.3%	0.2%	12
32.3%	66.9%	0.8%	13
37%	62.2%	0.8%	14

Compiler

Compiled 14 to 9 computations (35.7% saved)

sample1.1s (31.9%)

Symmetry

(sort x y)

Results

903.0ms	8256×	body	128	valid
174.0ms	1623×	body	128	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify62.0ms (1.7%)

Algorithm

1×	egg-herbie

Rules

1339×	`associate-/l/_binary64`
968×	`associate-/r/_binary64`
266×	`times-frac_binary64`
246×	`*-commutative_binary64`
209×	`associate-/l*_binary64`

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	17	10
2	43	7
3	104	7
4	455	7
5	2278	7
6	2464	7
7	2477	7
8	2490	7
9	2497	7
10	2504	7
11	2511	7
12	2518	7
13	2525	7
14	2532	7
15	2539	7
16	2546	7
17	2553	7
18	2560	7
19	2567	7
20	2574	7

Stop Event

1×	node limit

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

5.1b

Counts

3 → 2

Alt Table

Status	Error	Program
	11.7b	(.f64 x (/.f64 (.f64 (/.f64 y z) t) t))
▶	5.2b	(/.f64 x (/.f64 z y))

Compiler

Compiled 62 to 38 computations (38.7% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.1b	(/.f64 x (/.f64 z y))

series11.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

11.0ms

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

rewrite45.0ms (1.2%)

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:

44.0ms

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

simplify12.0ms (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	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

79 → 44

prune41.0ms (1.2%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	36	8	44
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	37	9	46

Error

0.0b

Counts

46 → 9

Alt Table

Status	Error	Program
▶	5.4b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (/.f64 (cbrt.f64 x) (/.f64 1 y)))
	6.9b	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))
	6.3b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 y z)))
	5.6b	(*.f64 x (/.f64 y z))
	5.5b	(*.f64 y (/.f64 x z))
	6.8b	(/.f64 (*.f64 y x) z)
	7.2b	(pow.f64 (/.f64 z (*.f64 x y)) -1)
	28.1b	(pow.f64 (sqrt.f64 (*.f64 x (/.f64 y z))) 2)
✓	5.2b	(/.f64 x (/.f64 z y))

Compiler

Compiled 619 to 301 computations (51.4% saved)

localize8.0ms (0.2%)

Local error

Found 4 expressions with local error:

New	Error	Program
✓	0.3b	(/.f64 (cbrt.f64 x) (/.f64 1 y))
✓	0.5b	(pow.f64 (cbrt.f64 x) 2)
✓	0.6b	(cbrt.f64 x)
✓	4.5b	(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (/.f64 (cbrt.f64 x) (/.f64 1 y)))

series109.0ms (3%)

Counts

4 → 48

Calls

4 calls:

42.0ms	(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (/.f64 (cbrt.f64 x) (/.f64 1 y)))
35.0ms	(/.f64 (cbrt.f64 x) (/.f64 1 y))
22.0ms	(pow.f64 (cbrt.f64 x) 2)
9.0ms	(cbrt.f64 x)

rewrite62.0ms (1.7%)

Algorithm

1×	batch-egg-rewrite

Rules

617×	`log-prod_binary64`
209×	`expm1-udef_binary64`
209×	`log1p-udef_binary64`
200×	`log-div_binary64`
191×	`log-pow_binary64`

Iterations

Useful iterations: 1 (0.0ms)

Iter	Nodes	Cost
0	12	28
1	257	22
2	3386	22

Stop Event

1×	node limit

Counts

4 → 149

Calls

4 calls:

60.0ms	(/.f64 (cbrt.f64 x) (/.f64 1 y))
60.0ms	(pow.f64 (cbrt.f64 x) 2)
60.0ms	(cbrt.f64 x)
60.0ms	(*.f64 (/.f64 (pow.f64 (cbrt.f64 x) 2) z) (/.f64 (cbrt.f64 x) (/.f64 1 y)))

simplify75.0ms (2.1%)

Algorithm

1×	egg-herbie

Rules

728×	`sqr-pow_binary64`
441×	`associate-l_binary64`
362×	`unswap-sqr_binary64`
313×	`pow-sqr_binary64`
256×	`cube-prod_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	324
1	19	324
2	32	324
3	55	324
4	115	324
5	318	324
6	1162	324
7	1851	324
8	1941	324
9	2077	324
10	2238	324
11	2471	324
12	2796	324
13	3220	324
14	3723	324
15	4323	324

Stop Event

1×	node limit

Counts

197 → 152

prune104.0ms (2.9%)

Pruning

8 alts after pruning (7 fresh and 1 done)

	Pruned	Kept	Total
New	181	2	183
Fresh	2	5	7
Picked	1	0	1
Done	0	1	1
Total	184	8	192

Error

Counts

192 → 8

Alt Table

Status	Error	Program
	5.6b	(/.f64 (/.f64 x z) (/.f64 1 y))
	6.9b	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))
	7.6b	(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
	6.3b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 y z)))
▶	5.6b	(*.f64 x (/.f64 y z))
	6.8b	(/.f64 (*.f64 y x) z)
	7.2b	(pow.f64 (/.f64 z (*.f64 x y)) -1)
✓	5.2b	(/.f64 x (/.f64 z y))

Compiler

Compiled 2936 to 1568 computations (46.6% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.4b	(*.f64 x (/.f64 y z))

series12.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

12.0ms

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

rewrite35.0ms (1%)

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:

35.0ms

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

simplify11.0ms (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	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

63 → 29

prune20.0ms (0.5%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	29	0	29
Fresh	0	6	6
Picked	0	1	1
Done	0	1	1
Total	29	8	37

Error

Counts

37 → 8

Alt Table

Status	Error	Program
▶	5.6b	(/.f64 (/.f64 x z) (/.f64 1 y))
	6.9b	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))
	7.6b	(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
	6.3b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 y z)))
✓	5.6b	(*.f64 x (/.f64 y z))
	6.8b	(/.f64 (*.f64 y x) z)
	7.2b	(pow.f64 (/.f64 z (*.f64 x y)) -1)
✓	5.2b	(/.f64 x (/.f64 z y))

Compiler

Compiled 417 to 209 computations (49.9% saved)

localize5.0ms (0.2%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.4b	(/.f64 (/.f64 x z) (/.f64 1 y))

series11.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

11.0ms

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

rewrite43.0ms (1.2%)

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:

42.0ms

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

simplify12.0ms (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	252
1	9	252
2	13	252
3	16	252
4	17	252

Stop Event

1×

saturated

Counts

79 → 44

prune33.0ms (0.9%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	44	0	44
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	44	8	52

Error

Counts

52 → 8

Alt Table

Status	Error	Program
✓	5.6b	(/.f64 (/.f64 x z) (/.f64 1 y))
	6.9b	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))
	7.6b	(/.f64 (/.f64 (*.f64 x y) (pow.f64 (cbrt.f64 z) 2)) (cbrt.f64 z))
	6.3b	(.f64 (pow.f64 (cbrt.f64 x) 2) (.f64 (cbrt.f64 x) (/.f64 y z)))
✓	5.6b	(*.f64 x (/.f64 y z))
	6.8b	(/.f64 (*.f64 y x) z)
	7.2b	(pow.f64 (/.f64 z (*.f64 x y)) -1)
✓	5.2b	(/.f64 x (/.f64 z y))

Compiler

Compiled 555 to 270 computations (51.4% saved)

regimes469.0ms (13%)

Accuracy

Total 0.8b remaining (99%)

Threshold costs 0.8b (99%)

Counts

32 → 5

Compiler

Compiled 3010 to 2105 computations (30.1% saved)

bsearch2.0ms (0.1%)

Compiler: Compiled 7 to 5 computations (28.6% saved)

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

2×	`*-commutative_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	74
1	29	74

Stop Event

1×

saturated

end218.0ms (6.1%)

Compiler: Compiled 312 to 164 computations (47.4% saved)

Details

analyze1.0s (28.9%)

sample1.1s (31.9%)

simplify62.0ms (1.7%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

series11.0ms (0.3%)

rewrite45.0ms (1.2%)

simplify12.0ms (0.3%)

prune41.0ms (1.2%)

localize8.0ms (0.2%)

series109.0ms (3%)

rewrite62.0ms (1.7%)

simplify75.0ms (2.1%)

prune104.0ms (2.9%)

localize3.0ms (0.1%)

series12.0ms (0.3%)

rewrite35.0ms (1%)

simplify11.0ms (0.3%)

prune20.0ms (0.5%)

localize5.0ms (0.2%)

series11.0ms (0.3%)

rewrite43.0ms (1.2%)

simplify12.0ms (0.3%)

prune33.0ms (0.9%)

regimes469.0ms (13%)

bsearch2.0ms (0.1%)

simplify3.0ms (0.1%)

end218.0ms (6.1%)

Profiling