Details

sample1.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.779297%

Results

13.0ms

266×

body

valid

simplify42.0ms

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: 7.9b

Counts

2 → 1

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b	(- (* t z) x)
0.0b	(+ x (/ (- (* y z) x) (- (* t z) x)))
0.3b	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
10.5b	(/ (- (* y z) x) (- (* t z) x))

rewrite40.0ms

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:

4.0ms	(- (* t z) x)
11.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
14.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
8.0ms	(/ (- (* y z) x) (- (* t z) x))

series86.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(- (* t z) x)
25.0ms	(+ x (/ (- (* y z) x) (- (* t z) x)))
38.0ms	(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
18.0ms	(/ (- (* y z) x) (- (* t z) x))

simplify45.0ms

Algorithm

egg-herbie

Counts

110 → 110

Iterations

Useful iterations: 2 (34.0ms)

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

prune161.0ms

Filtered

80 candidates to 110 candidates (-37.5%)

Pruning

10 alts after pruning (10 fresh and 0 done)

	Pruned	Kept	Total
New	100	10	110
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	101	10	111

Merged error: 0.6b

Counts

111 → 10

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ x (- (* t z) x)) (+ x 1.0))
0.3b	(/ (+ x (/ (* y z) (- (* t z) x))) (+ x 1.0))
2.7b	(/ x (- (* t z) x))
9.9b	(/ (* y z) (- (* t z) x))

rewrite42.0ms

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:

10.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
14.0ms	(/ (+ x (/ (* y z) (- (* t z) x))) (+ x 1.0))
5.0ms	(/ x (- (* t z) x))
6.0ms	(/ (* y z) (- (* t z) x))

series65.0ms

Counts

4 → 12

Calls

4 calls:

21.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
22.0ms	(/ (+ x (/ (* y z) (- (* t z) x))) (+ x 1.0))
11.0ms	(/ x (- (* t z) x))
11.0ms	(/ (* y z) (- (* t z) x))

simplify76.0ms

Algorithm

egg-herbie

Counts

200 → 200

Iterations

Useful iterations: 1 (16.0ms)

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

prune226.0ms

Filtered

142 candidates to 200 candidates (-40.8%)

Pruning

8 alts after pruning (8 fresh and 0 done)

	Pruned	Kept	Total
New	197	3	200
Fresh	4	5	9
Picked	1	0	1
Done	0	0	0
Total	202	8	210

Merged error: 0.3b

Counts

210 → 8

localize13.0ms

Local error

Found 4 expressions with local error:

0.3b	(/ (+ x (/ y (/ (- (* t z) x) z))) (+ x 1.0))
2.7b	(/ y (/ (- (* t z) x) z))
2.7b	(/ x (- (* t z) x))
9.2b	(/ (- (* t z) x) z)

rewrite57.0ms

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:

29.0ms	(/ (+ x (/ y (/ (- (* t z) x) z))) (+ x 1.0))
7.0ms	(/ y (/ (- (* t z) x) z))
5.0ms	(/ x (- (* t z) x))
6.0ms	(/ (- (* t z) x) z)

series55.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(/ (+ x (/ y (/ (- (* t z) x) z))) (+ x 1.0))
11.0ms	(/ y (/ (- (* t z) x) z))
11.0ms	(/ x (- (* t z) x))
10.0ms	(/ (- (* t z) x) z)

simplify74.0ms

Algorithm

egg-herbie

Counts

181 → 181

Iterations

Useful iterations: 1 (15.0ms)

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

prune211.0ms

Filtered

139 candidates to 181 candidates (-30.2%)

Pruning

9 alts after pruning (9 fresh and 0 done)

	Pruned	Kept	Total
New	176	5	181
Fresh	3	4	7
Picked	1	0	1
Done	0	0	0
Total	180	9	189

Merged error: 0.2b

Counts

189 → 9

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (/ x (- (* t z) x)) (+ x 1.0))
0.3b	(/ (+ x (/ y (- t (/ x z)))) (+ x 1.0))
2.7b	(/ y (- t (/ x z)))
2.7b	(/ 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:

10.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
16.0ms	(/ (+ x (/ y (- t (/ x z)))) (+ x 1.0))
7.0ms	(/ y (- t (/ x z)))
5.0ms	(/ x (- (* t z) x))

series58.0ms

Counts

4 → 12

Calls

4 calls:

17.0ms	(/ (/ x (- (* t z) x)) (+ x 1.0))
19.0ms	(/ (+ x (/ y (- t (/ x z)))) (+ x 1.0))
9.0ms	(/ y (- t (/ x z)))
12.0ms	(/ x (- (* t z) x))

simplify75.0ms

Algorithm

egg-herbie

Counts

218 → 218

Iterations

Useful iterations: 1 (15.0ms)

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

prune229.0ms

Filtered

156 candidates to 218 candidates (-39.7%)

Pruning

9 alts after pruning (8 fresh and 1 done)

	Pruned	Kept	Total
New	215	3	218
Fresh	3	5	8
Picked	0	1	1
Done	0	0	0
Total	218	9	227

Merged error: 0.2b

Counts

227 → 9

regimes304.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.2b and baseline of 0.3b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	19	12
1	19	12

end0.0ms

sample2.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0%

Guaranteed chance to sample good point: 73.779297%

Results

445.0ms

8323×

body

valid

Details

sample1.4s

simplify42.0ms

prune4.0ms

localize15.0ms

rewrite40.0ms

series86.0ms

simplify45.0ms

prune161.0ms

localize13.0ms

rewrite42.0ms

series65.0ms

simplify76.0ms

prune226.0ms

localize13.0ms

rewrite57.0ms

series55.0ms

simplify74.0ms

prune211.0ms

localize14.0ms

rewrite49.0ms

series58.0ms

simplify75.0ms

prune229.0ms

regimes304.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.1s

Profiling