Details

analyze1.1s (26.7%)

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)

sample1.2s (29.5%)

Symmetry

(sort x y)

Results

899.0ms	8256×	body	128	valid
186.0ms	1634×	body	128	invalid

Compiler

Compiled 41 to 26 computations (36.6% saved)

simplify171.0ms (4.3%)

Algorithm

1×	egg-herbie

Rules

1483×	`associate-/l/_binary64`
1068×	`associate-/l*_binary64`
1015×	`associate-/r/_binary64`
675×	`*-commutative_binary64`
404×	`sqr-pow_binary64`

Counts

1 → 2

Iterations

Useful iterations: 2 (0.0ms)

Iter	Nodes	Cost
0	9	13
1	17	10
2	41	7
3	91	7
4	366	7
5	1228	7
6	1212	7
7	1225	7
8	1238	7
9	1245	7
10	1252	7
11	1259	7
12	1266	7
13	1273	7
14	1280	7
15	1287	7
16	1294	7
17	1301	7
18	1308	7
19	1315	7
20	1322	7
21	3032	7
22	2753	7
23	2781	7
24	2833	7
25	2977	7
26	3074	7
27	3494	7
28	3743	7
29	4033	7
30	4473	7
31	5028	7

prune3.0ms (0.1%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Error

5.9b

Counts

3 → 1

Alt Table

Status	Error	Program
▶	5.9b	(*.f64 x (/.f64 y z))

Compiler

Compiled 36 to 21 computations (41.7% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.7b	(*.f64 x (/.f64 y z))

series12.0ms (0.3%)

Counts

1 → 36

Calls

1 calls:

12.0ms

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

rewrite42.0ms (1%)

Algorithm

2×	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`

Counts

1 → 28

Calls

1 calls:

41.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1628	7
3	5106	7
0	0	0
1	0	0

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Counts

64 → 29

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252
5	17	252

prune18.0ms (0.5%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	24	5	29
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	24	6	30

Error

0.0b

Counts

30 → 6

Alt Table

Status	Error	Program
	34.3b	(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
	25.3b	(/.f64 (/.f64 (.f64 x y) (cbrt.f64 (.f64 z z))) (cbrt.f64 z))
	6.6b	(/.f64 1 (/.f64 z (*.f64 x y)))
▶	5.8b	(/.f64 x (/.f64 z y))
	6.4b	(/.f64 (*.f64 y x) z)
✓	5.9b	(*.f64 x (/.f64 y z))

Compiler

Compiled 374 to 174 computations (53.5% saved)

localize3.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	5.7b	(/.f64 x (/.f64 z y))

series14.0ms (0.4%)

Counts

1 → 36

Calls

1 calls:

14.0ms

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

rewrite74.0ms (1.8%)

Algorithm

2×	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`

Counts

1 → 44

Calls

1 calls:

73.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	131	7
2	1850	7
3	5000	7
4	4983	7
0	0	0
1	0	0

simplify12.0ms (0.3%)

Algorithm

1×	egg-herbie

Rules

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

Counts

80 → 45

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	252
1	9	252
2	13	252
3	16	252
4	17	252
5	17	252

prune25.0ms (0.6%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	42	3	45
Fresh	2	2	4
Picked	0	1	1
Done	0	1	1
Total	44	7	51

Error

0.0b

Counts

51 → 7

Alt Table

Status	Error	Program
	34.3b	(/.f64 (/.f64 (*.f64 x y) (sqrt.f64 z)) (sqrt.f64 z))
✓	5.8b	(/.f64 x (/.f64 z y))
▶	6.4b	(/.f64 (*.f64 y x) z)
✓	5.9b	(*.f64 x (/.f64 y z))
	25.1b	(.f64 (/.f64 (cbrt.f64 (.f64 x x)) z) (/.f64 (cbrt.f64 x) (/.f64 1 y)))
	6.6b	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))
	7.5b	(*.f64 y (/.f64 x z))

Compiler

Compiled 565 to 246 computations (56.5% saved)

localize5.0ms (0.1%)

Local error

Found 1 expressions with local error:

New	Error	Program
✓	6.2b	(/.f64 (*.f64 y x) z)

series11.0ms (0.3%)

Counts

1 → 0

Calls

1 calls:

11.0ms

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

rewrite43.0ms (1.1%)

Algorithm

2×	batch-egg-rewrite

Rules

659×	`log1p-expm1-u_binary64`
659×	`expm1-log1p-u_binary64`
367×	`log-prod_binary64`
119×	`expm1-udef_binary64`
119×	`log1p-udef_binary64`

Counts

1 → 47

Calls

1 calls:

42.0ms

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

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	7
1	125	7
2	1688	7
3	5384	7
0	0	0
1	0	0

simplify6.0ms (0.2%)

Algorithm

1×	egg-herbie

Counts

47 → 47

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	0	0
1	0	0

prune27.0ms (0.7%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	45	2	47
Fresh	3	1	4
Picked	0	1	1
Done	0	2	2
Total	48	6	54

Error

0.0b

Counts

54 → 6

Alt Table

Status	Error	Program
✓	5.8b	(/.f64 x (/.f64 z y))
✓	6.4b	(/.f64 (*.f64 y x) z)
✓	5.9b	(*.f64 x (/.f64 y z))
	33.1b	(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
▶	6.6b	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))
	7.5b	(.f64 y (.f64 x (/.f64 1 z)))

Compiler

Compiled 578 to 231 computations (60% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

New	Error	Program
✓	0.2b	(/.f64 x (/.f64 1 y))
✓	6.4b	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))

series16.0ms (0.4%)

Counts

2 → 60

Calls

2 calls:

12.0ms	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))
3.0ms	(/.f64 x (/.f64 1 y))

rewrite87.0ms (2.2%)

Algorithm

2×	batch-egg-rewrite

Rules

493×	`log-prod_binary64`
434×	`prod-diff_binary64`
241×	`pow2_binary64`
171×	`pow1/3_binary64`
165×	`log-div_binary64`

Counts

2 → 103

Calls

2 calls:

85.0ms	(/.f64 x (/.f64 1 y))
85.0ms	(*.f64 (/.f64 1 z) (/.f64 x (/.f64 1 y)))

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	9	17
1	193	11
2	2435	11
3	4998	11
4	5900	11
0	0	0
1	0	0

simplify16.0ms (0.4%)

Algorithm

1×	egg-herbie

Rules

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

Counts

163 → 104

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	6	348
1	9	348
2	13	348
3	16	348
4	17	348
5	17	348

prune57.0ms (1.4%)

Pruning

6 alts after pruning (3 fresh and 3 done)

	Pruned	Kept	Total
New	103	1	104
Fresh	0	2	2
Picked	1	0	1
Done	0	3	3
Total	104	6	110

Error

Counts

110 → 6

Alt Table

Status	Error	Program
	20.6b	(/.f64 (/.f64 (/.f64 x z) (pow.f64 y -1/2)) (pow.f64 y -1/2))
✓	5.9b	(*.f64 x (/.f64 y z))
✓	5.8b	(/.f64 x (/.f64 z y))
✓	6.4b	(/.f64 (*.f64 y x) z)
	33.1b	(*.f64 (/.f64 y (sqrt.f64 z)) (/.f64 x (sqrt.f64 z)))
	7.5b	(.f64 y (.f64 x (/.f64 1 z)))

Compiler

Compiled 1156 to 594 computations (48.6% saved)

regimes830.0ms (20.7%)

Accuracy

Total 0.4b remaining (97.2%)

Threshold costs 0.4b (97.2%)

Counts

36 → 5

Compiler

Compiled 3285 to 2388 computations (27.3% saved)

bsearch1.0ms (0%)

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

simplify3.0ms (0.1%)

Algorithm

1×	egg-herbie

Rules

3×	`*-commutative_binary64`
1×	`1-exp_binary64`
1×	`unpow1_binary64`

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	27	74
1	32	74
2	31	74

end255.0ms (6.4%)

Compiler: Compiled 286 to 145 computations (49.3% saved)

Details

analyze1.1s (26.7%)

sample1.2s (29.5%)

simplify171.0ms (4.3%)

prune3.0ms (0.1%)

localize3.0ms (0.1%)

series12.0ms (0.3%)

rewrite42.0ms (1%)

simplify12.0ms (0.3%)

prune18.0ms (0.5%)

localize3.0ms (0.1%)

series14.0ms (0.4%)

rewrite74.0ms (1.8%)

simplify12.0ms (0.3%)

prune25.0ms (0.6%)

localize5.0ms (0.1%)

series11.0ms (0.3%)

rewrite43.0ms (1.1%)

simplify6.0ms (0.2%)

prune27.0ms (0.7%)

localize6.0ms (0.1%)

series16.0ms (0.4%)

rewrite87.0ms (2.2%)

simplify16.0ms (0.4%)

prune57.0ms (1.4%)

regimes830.0ms (20.7%)

bsearch1.0ms (0%)

simplify3.0ms (0.1%)

end255.0ms (6.4%)

Profiling