Details

sample1.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 10.681152%

Guaranteed chance to sample good point: 75.205002%

Results

6.0ms	256×	body	80	valid
1.0ms	30×	body	80	invalid

simplify47.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	16	3
1	22	3
2	33	3
3	36	3
4	42	3
5	46	3
6	54	3
7	282	3
8	2072	3
9	5002	3

prune3.0ms

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

Merged error: 10.4b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
9.9b	(/ (* x (+ y z)) z)

rewrite13.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-exp-log` `add-cbrt-cube`
8×	`add-sqr-sqrt` `*-un-lft-identity`
6×	`add-cube-cbrt`
4×	`pow1` `associate-r/` `associate-r*`
3×	`times-frac` `associate-l` `associate-/r*`
2×	`cbrt-undiv` `flip3-+` `div-exp` `prod-exp` `cbrt-unprod` `flip-+` `associate-/l/` `add-log-exp`
1×	`distribute-rgt-in` `frac-2neg` `distribute-lft-in` `pow-prod-down` `clear-num` `-commutative` `div-inv` `distribute-lft-out` `associate-/l` `unswap-sqr`

Counts

2 → 46

Calls

2 calls:

5.0ms	(* x (+ y z))
7.0ms	(/ (* x (+ y z)) z)

series15.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(* x (+ y z))
9.0ms	(/ (* x (+ y z)) z)

simplify33.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (6.0ms)

Iter	Nodes	Cost
0	226	206
1	1099	177
2	5001	177

prune58.0ms

Filtered

35 candidates to 52 candidates (-48.6%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	49	4	53

Merged error: 0.0b

Counts

53 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ y z))
1.9b	(/ x (/ z (+ y z)))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

114×	`times-frac`
94×	`*-un-lft-identity`
62×	`add-sqr-sqrt` `add-cube-cbrt`
22×	`associate-/r*`
16×	`distribute-lft-out`
11×	`associate-/r/`
9×	`add-exp-log` `add-cbrt-cube`
6×	`div-inv` `associate-/l*`
5×	`flip3-+` `flip-+`
4×	`cbrt-undiv` `div-exp`
2×	`pow1` `frac-2neg` `clear-num` `add-log-exp`

Counts

2 → 123

Calls

2 calls:

5.0ms	(/ z (+ y z))
8.0ms	(/ x (/ z (+ y z)))

series15.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ z (+ y z))
10.0ms	(/ x (/ z (+ y z)))

simplify48.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	413	869
1	1890	835
2	5001	832

prune101.0ms

Filtered

91 candidates to 129 candidates (-41.8%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	127	2	129
Fresh	1	2	3
Picked	0	1	1
Done	0	0	0
Total	128	5	133

Merged error: 0b

Counts

133 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ y z) z)
2.0b	(* x (/ (+ y z) z))

rewrite16.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
25×	`add-sqr-sqrt` `times-frac`
20×	`add-cube-cbrt`
16×	`associate-r`
9×	`add-exp-log` `add-cbrt-cube`
7×	`distribute-lft-out`
4×	`pow1` `associate-/l*`
3×	`associate-l` `associate-/r*`
2×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
1×	`frac-2neg` `flip3-+` `associate-r/` `pow-prod-down` `clear-num` `-commutative` `flip-+`

Counts

2 → 68

Calls

2 calls:

5.0ms	(/ (+ y z) z)
8.0ms	(* x (/ (+ y z) z))

series14.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ (+ y z) z)
10.0ms	(* x (/ (+ y z) z))

simplify83.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	233	344
1	1013	313
2	3948	313
3	5001	313

prune57.0ms

Filtered

49 candidates to 74 candidates (-51.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	74	5	79

Merged error: 0b

Counts

79 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(+ (/ (* x y) z) x)
5.1b	(/ (* x y) z)

rewrite11.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `add-log-exp`
3×	`times-frac` `associate-/r*`
2×	`pow1` `cbrt-undiv` `div-exp`
1×	`+-commutative` `frac-2neg` `flip3-+` `prod-exp` `clear-num` `sum-log` `cbrt-unprod` `flip-+` `div-inv` `distribute-lft-out` `associate-/l*`

Counts

2 → 33

Calls

2 calls:

6.0ms	(+ (/ (* x y) z) x)
4.0ms	(/ (* x y) z)

series11.0ms

Counts

2 → 6

Calls

2 calls:

6.0ms	(+ (/ (* x y) z) x)
5.0ms	(/ (* x y) z)

simplify79.0ms

Algorithm

egg-herbie

Counts

39 → 39

Iterations

Useful iterations: 2 (18.0ms)

Iter	Nodes	Cost
0	168	160
1	736	144
2	3353	142
3	5001	142

prune30.0ms

Filtered

26 candidates to 39 candidates (-50.0%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	39	0	39
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	39	5	44

Merged error: 0b

Counts

44 → 5

regimes164.0ms

Accuracy

20.8% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.8b

bsearch32.0ms

Steps

Iters	Range		Point
6	8.295354952214938e+48	3.677510451892657e+49	1.768585661751164e+49
9	-3.932647665911747e-301	-8.964717011293213e-307	-1.1273366598238252e-302

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	21	6
1	21	6

end0.0ms

sample2.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 10.681152%

Guaranteed chance to sample good point: 75.205002%

Results

216.0ms	8000×	body	80	valid
16.0ms	625×	body	80	invalid

Details

sample1.3s

simplify47.0ms

prune3.0ms

localize5.0ms

rewrite13.0ms

series15.0ms

simplify33.0ms

prune58.0ms

localize5.0ms

rewrite20.0ms

series15.0ms

simplify48.0ms

prune101.0ms

localize5.0ms

rewrite16.0ms

series14.0ms

simplify83.0ms

prune57.0ms

localize5.0ms

rewrite11.0ms

series11.0ms

simplify79.0ms

prune30.0ms

regimes164.0ms

bsearch32.0ms

simplify1.0ms

end0.0ms

sample2.0s

Profiling