Details

sample838.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 6.195068%

Guaranteed chance to sample good point: 84.166179%

Results

7.0ms	256×	body	80	valid
1.0ms	29×	body	80	invalid

simplify52.0ms

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

prune6.0ms

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: 13.7b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
12.9b	(/ (* 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:

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

series15.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify37.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (8.0ms)

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

prune59.0ms

Filtered

35 candidates to 52 candidates (-48.6%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	48	4	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	48	5	53

Merged error: 0.0b

Counts

53 → 5

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ y z))
4.1b	(/ 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))
9.0ms	(/ x (/ z (+ y z)))

series14.0ms

Counts

2 → 6

Calls

2 calls:

5.0ms	(/ z (+ y z))
9.0ms	(/ x (/ z (+ y z)))

simplify55.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (41.0ms)

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

prune94.0ms

Filtered

92 candidates to 129 candidates (-40.2%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	128	1	129
Fresh	2	1	3
Picked	0	1	1
Done	0	1	1
Total	130	4	134

Merged error: 0b

Counts

134 → 4

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ y z) z)
4.4b	(* x (/ (+ y z) z))

rewrite18.0ms

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:

7.0ms	(/ (+ y z) z)
9.0ms	(* x (/ (+ y z) z))

series12.0ms

Counts

2 → 6

Calls

2 calls:

4.0ms	(/ (+ y z) z)
8.0ms	(* x (/ (+ y z) z))

simplify91.0ms

Algorithm

egg-herbie

Counts

74 → 74

Iterations

Useful iterations: 1 (8.0ms)

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

prune53.0ms

Filtered

49 candidates to 74 candidates (-51.0%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	74	0	74
Fresh	0	1	1
Picked	0	1	1
Done	0	2	2
Total	74	4	78

Merged error: 0b

Counts

78 → 4

localize5.0ms

Local error

Found 1 expressions with local error:

10.5b

(* (/ x z) (+ y z))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

1 → 39

Calls

1 calls:

9.0ms

(* (/ x z) (+ y z))

series9.0ms

Counts

1 → 3

Calls

1 calls:

9.0ms

(* (/ x z) (+ y z))

simplify36.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (32.0ms)

Iter	Nodes	Cost
0	315	204
1	1176	183
2	5001	179

prune32.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

4 alts after pruning (0 fresh and 4 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	0	0
Picked	0	1	1
Done	0	3	3
Total	42	4	46

Merged error: 0b

Counts

46 → 4

regimes222.0ms

Accuracy

91.4% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 3.2b

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 2 (1.0ms)

Iter	Nodes	Cost
0	26	27
1	29	27
2	35	18
3	38	18
4	44	18
5	55	18
6	62	18
7	63	18
8	63	18

end0.0ms

sample1.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 6.195068%

Guaranteed chance to sample good point: 84.166179%

Results

208.0ms	8000×	body	80	valid
26.0ms	938×	body	80	invalid

Details

sample838.0ms

simplify52.0ms

prune6.0ms

localize5.0ms

rewrite13.0ms

series15.0ms

simplify37.0ms

prune59.0ms

localize5.0ms

rewrite20.0ms

series14.0ms

simplify55.0ms

prune94.0ms

localize5.0ms

rewrite18.0ms

series12.0ms

simplify91.0ms

prune53.0ms

localize5.0ms

rewrite10.0ms

series9.0ms

simplify36.0ms

prune32.0ms

regimes222.0ms

bsearch0.0ms

simplify4.0ms

end0.0ms

sample1.3s

Profiling