Details

sample2.5s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 54.629517%

Results

12.0ms	256×	body	80	valid
1.0ms	12×	body	80	invalid

simplify41.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	23	8
1	35	8
2	60	8
3	103	8
4	183	8
5	416	8
6	1194	8
7	5001	8

prune4.0ms

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: 9.1b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.0b	(- (* t z) x)
0.5b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.9b	(/ (- (* y z) x) (- (* t z) x))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

44×	`*-un-lft-identity`
25×	`times-frac`
22×	`add-sqr-sqrt` `add-cube-cbrt`
11×	`distribute-lft-out`
8×	`add-exp-log` `add-cbrt-cube` `add-log-exp`
7×	`associate-/r` `associate-/l`
4×	`pow1` `div-sub` `associate-/r/` `associate-/l/`
3×	`flip3--` `flip3-+` `flip--` `flip-+`
2×	`cbrt-undiv` `associate-+r-` `frac-2neg` `div-exp` `clear-num` `div-inv`
1×	`+-commutative` `sub-neg` `diff-log` `sum-log`

Counts

4 → 98

Calls

4 calls:

10.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
3.0ms	(- (* t z) x)
17.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series81.0ms

Counts

4 → 12

Calls

4 calls:

26.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
5.0ms	(- (* t z) x)
32.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
17.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (33.0ms)

Iter	Nodes	Cost
0	397	1011
1	1388	948
2	5001	947

prune152.0ms

Filtered

80 candidates to 110 candidates (-37.5%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	102	8	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	103	8	111

Merged error: 1.6b

Counts

111 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ x (- (* t z) x)) (+ x 1.0))
0.5b	(/ (+ x (/ (* y z) (- (* t z) x))) (+ x 1.0))
3.9b	(/ x (- (* t z) x))
10.7b	(/ (* y z) (- (* t z) x))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

133×	`times-frac`
127×	`*-un-lft-identity`
75×	`add-sqr-sqrt` `add-cube-cbrt`
26×	`distribute-lft-out`
23×	`associate-/l*`
18×	`add-exp-log` `associate-/r/` `add-cbrt-cube`
14×	`associate-/r*`
9×	`div-inv`
7×	`cbrt-undiv` `flip3--` `div-exp` `flip--`
4×	`pow1` `frac-2neg` `clear-num` `add-log-exp`
3×	`flip3-+` `flip-+` `associate-/l/`
1×	`prod-exp` `cbrt-unprod`

Counts

4 → 188

Calls

4 calls:

11.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
11.0ms	(/ (+ x (/ (* y z) (- (* t z) x))) (+ x 1.0))
5.0ms	(/ x (- (* t z) x))
6.0ms	(/ (* y z) (- (* t z) x))

series64.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
21.0ms	(/ (+ x (/ (* y z) (- (* t z) x))) (+ x 1.0))
11.0ms	(/ x (- (* t z) x))
14.0ms	(/ (* y z) (- (* t z) x))

simplify81.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 1 (19.0ms)

Iter	Nodes	Cost
0	700	1899
1	3022	1792
2	5001	1792

prune228.0ms

Filtered

142 candidates to 200 candidates (-40.8%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	198	2	200
Fresh	0	7	7
Picked	1	0	1
Done	0	0	0
Total	199	9	208

Merged error: 0.5b

Counts

208 → 9

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(/ (+ x (/ y (/ (- (* t z) x) z))) (+ x 1.0))
3.0b	(/ y (/ (- (* t z) x) z))
3.9b	(/ x (- (* t z) x))
7.3b	(/ (- (* t z) x) z)

rewrite44.0ms

Algorithm

rewrite-expression-head

Rules

109×	`times-frac`
92×	`*-un-lft-identity`
72×	`add-sqr-sqrt` `add-cube-cbrt`
23×	`associate-/r*`
15×	`add-exp-log` `add-cbrt-cube`
13×	`associate-/l*`
10×	`distribute-lft-out`
8×	`div-inv`
6×	`cbrt-undiv` `div-exp`
5×	`associate-/r/`
4×	`pow1` `frac-2neg` `clear-num` `associate-/l/` `add-log-exp`
2×	`flip3--` `flip3-+` `flip--` `flip-+`
1×	`div-sub`

Counts

4 → 169

Calls

4 calls:

18.0ms	(/ (+ x (/ y (/ (- (* t z) x) z))) (+ x 1.0))
8.0ms	(/ y (/ (- (* t z) x) z))
6.0ms	(/ x (- (* t z) x))
6.0ms	(/ (- (* t z) x) z)

series54.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (+ x (/ y (/ (- (* t z) x) z))) (+ x 1.0))
11.0ms	(/ y (/ (- (* t z) x) z))
14.0ms	(/ x (- (* t z) x))
8.0ms	(/ (- (* t z) x) z)

simplify74.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	663	1533
1	2903	1441
2	5001	1441

prune221.0ms

Filtered

139 candidates to 181 candidates (-30.2%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	176	5	181
Fresh	3	5	8
Picked	1	0	1
Done	0	0	0
Total	180	10	190

Merged error: 0.5b

Counts

190 → 10

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(/ (/ x (- (* t z) x)) (+ x 1.0))
0.5b	(/ (+ x (/ y (- t (/ x z)))) (+ x 1.0))
3.0b	(/ y (- t (/ x z)))
3.9b	(/ x (- (* t z) x))

rewrite49.0ms

Algorithm

rewrite-expression-head

Rules

152×	`times-frac`
144×	`*-un-lft-identity`
104×	`add-sqr-sqrt`
84×	`add-cube-cbrt`
26×	`distribute-lft-out`
25×	`associate-/l*`
18×	`associate-/r/`
17×	`associate-/r*`
15×	`add-exp-log` `add-cbrt-cube`
9×	`div-inv`
8×	`difference-of-squares`
7×	`flip3--` `flip--`
6×	`cbrt-undiv` `div-exp`
4×	`pow1` `frac-2neg` `clear-num` `distribute-lft-out--` `add-log-exp`
3×	`flip3-+` `flip-+` `associate-/l/`

Counts

4 → 206

Calls

4 calls:

11.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
16.0ms	(/ (+ x (/ y (- t (/ x z)))) (+ x 1.0))
8.0ms	(/ y (- t (/ x z)))
6.0ms	(/ x (- (* t z) x))

series62.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
20.0ms	(/ (+ x (/ y (- t (/ x z)))) (+ x 1.0))
13.0ms	(/ y (- t (/ x z)))
12.0ms	(/ x (- (* t z) x))

simplify75.0ms

Algorithm

egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 1 (16.0ms)

Iter	Nodes	Cost
0	739	1978
1	2883	1888
2	5001	1888

prune228.0ms

Filtered

156 candidates to 218 candidates (-39.7%)

Pruning

11 alts after pruning (10 fresh and 1 done)

	Pruned	Kept	Total
New	214	4	218
Fresh	3	6	9
Picked	0	1	1
Done	0	0	0
Total	217	11	228

Merged error: 0.5b

Counts

228 → 11

regimes330.0ms

Accuracy

0% (0.1b remaining)

Error of 0.4b against oracle of 0.3b and baseline of 0.4b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	12
1	19	12

end0.0ms

sample3.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 54.629517%

Results

394.0ms	8000×	body	80	valid
15.0ms	318×	body	80	invalid

Details

sample2.5s

simplify41.0ms

prune4.0ms

localize11.0ms

rewrite42.0ms

series81.0ms

simplify45.0ms

prune152.0ms

localize13.0ms

rewrite41.0ms

series64.0ms

simplify81.0ms

prune228.0ms

localize13.0ms

rewrite44.0ms

series54.0ms

simplify74.0ms

prune221.0ms

localize16.0ms

rewrite49.0ms

series62.0ms

simplify75.0ms

prune228.0ms

regimes330.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample3.4s

Profiling