Details

sample4.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.390137%

Guaranteed chance to sample good point: 80.10659%

Results

7.0ms	256×	body	80	valid
0.0ms	18×	body	80	invalid

simplify50.0ms

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: 12.6b

Counts

2 → 1

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(* x (+ y z))
12.0b	(/ (* x (+ y z)) z)

rewrite14.0ms

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))
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)

simplify39.0ms

Algorithm

egg-herbie

Counts

52 → 52

Iterations

Useful iterations: 1 (7.0ms)

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

prune65.0ms

Filtered

35 candidates to 52 candidates (-48.6%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	46	6	52
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	46	7	53

Merged error: 0.0b

Counts

53 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ z (+ y z))
3.0b	(/ x (/ z (+ y z)))

rewrite19.0ms

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)))

series14.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify53.0ms

Algorithm

egg-herbie

Counts

129 → 129

Iterations

Useful iterations: 2 (41.0ms)

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

prune108.0ms

Filtered

92 candidates to 129 candidates (-40.2%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	126	3	129
Fresh	2	3	5
Picked	0	1	1
Done	1	0	1
Total	129	7	136

Merged error: 0b

Counts

136 → 7

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b	(/ (+ y z) z)
3.1b	(* x (/ (+ y z) z))

rewrite17.0ms

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

series15.0ms

Counts

2 → 6

Calls

2 calls:

7.0ms	(/ (+ y z) z)
8.0ms	(* x (/ (+ y z) z))

simplify86.0ms

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

prune66.0ms

Filtered

49 candidates to 74 candidates (-51.0%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	73	1	74
Fresh	1	4	5
Picked	0	1	1
Done	0	1	1
Total	74	7	81

Merged error: 0b

Counts

81 → 7

localize5.0ms

Local error

Found 1 expressions with local error:

11.6b

(* (/ 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))

simplify35.0ms

Algorithm

egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 2 (31.0ms)

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

prune33.0ms

Filtered

28 candidates to 42 candidates (-50.0%)

Pruning

7 alts after pruning (4 fresh and 3 done)

	Pruned	Kept	Total
New	42	0	42
Fresh	0	4	4
Picked	0	1	1
Done	0	2	2
Total	42	7	49

Merged error: 0b

Counts

49 → 7

regimes196.0ms

Accuracy

2.3% (3.1b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 3.1b

bsearch89.0ms

Steps

Iters	Range		Point
10	6.6981610733249055e-258	9.240875112719888e-242	3.2770173138454184e-255
7	-1.0760645615222719e-197	-9.387140443543853e-200	-1.583216345844326e-199

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	24	7
1	24	7

end0.0ms

sample5.0s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 12.390137%

Guaranteed chance to sample good point: 80.10659%

Results

223.0ms	8000×	body	80	valid
11.0ms	419×	body	80	invalid

Details

sample4.5s

simplify50.0ms

prune3.0ms

localize5.0ms

rewrite14.0ms

series15.0ms

simplify39.0ms

prune65.0ms

localize5.0ms

rewrite19.0ms

series14.0ms

simplify53.0ms

prune108.0ms

localize5.0ms

rewrite17.0ms

series15.0ms

simplify86.0ms

prune66.0ms

localize5.0ms

rewrite10.0ms

series9.0ms

simplify35.0ms

prune33.0ms

regimes196.0ms

bsearch89.0ms

simplify1.0ms

end0.0ms

sample5.0s

Profiling