Details

sample1.1s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.671387%

Guaranteed chance to sample good point: 75.015362%

Results

9.0ms	256×	body	80	valid
1.0ms	22×	body	80	invalid

simplify65.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	19	5
1	40	5
2	80	5
3	174	5
4	369	5
5	503	5
6	769	5
7	1191	5
8	1451	5
9	1606	5
10	1606	5

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: 0.8b

Counts

2 → 1

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(- 1.0 (/ x (* (- y z) (- y t))))
0.0b	(* (- y z) (- y t))
7.4b	(/ x (* (- y z) (- y t)))

rewrite32.0ms

Algorithm

rewrite-expression-head

Rules

15×	`add-sqr-sqrt`
13×	`flip3--` `*-un-lft-identity` `flip--`
10×	`add-exp-log` `add-cbrt-cube`
8×	`frac-times` `associate-/r/`
7×	`add-cube-cbrt`
5×	`pow1` `associate-r` `associate-l` `add-log-exp`
4×	`associate-r/` `associate-l/`
3×	`sub-neg` `times-frac` `associate-/l*` `distribute-lft-out--` `difference-of-squares`
2×	`cbrt-undiv` `distribute-rgt-in` `distribute-lft-in` `div-exp` `prod-exp` `cbrt-unprod`
1×	`frac-2neg` `diff-log` `pow-prod-down` `clear-num` `associate-/r` `-commutative` `div-inv` `unswap-sqr`

Counts

3 → 77

Calls

3 calls:

8.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
12.0ms	(* (- y z) (- y t))
9.0ms	(/ x (* (- y z) (- y t)))

series46.0ms

Counts

3 → 9

Calls

3 calls:

22.0ms	(- 1.0 (/ x (* (- y z) (- y t))))
6.0ms	(* (- y z) (- y t))
18.0ms	(/ x (* (- y z) (- y t)))

simplify44.0ms

Algorithm

egg-herbie

Counts

86 → 86

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	361	530
1	1551	485
2	5001	485

prune104.0ms

Filtered

64 candidates to 86 candidates (-34.4%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	82	4	86
Fresh	0	0	0
Picked	0	1	1
Done	0	0	0
Total	82	5	87

Merged error: 0b

Counts

87 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* x (/ 1 (* (- y z) (- y t)))))
0.0b	(* (- y z) (- y t))
0.6b	(/ 1 (* (- y z) (- y t)))
6.9b	(* x (/ 1 (* (- y z) (- y t))))

rewrite42.0ms

Algorithm

rewrite-expression-head

Rules

36×	`add-exp-log`
20×	`associate-r` `add-cbrt-cube`
19×	`add-sqr-sqrt` `flip3--` `flip--`
16×	`associate-/r/`
15×	`*-un-lft-identity`
14×	`prod-exp`
12×	`frac-times`
11×	`pow1` `add-cube-cbrt`
8×	`div-exp` `associate-l`
7×	`associate-*r/`
6×	`times-frac` `associate-*l/` `cbrt-unprod` `add-log-exp`
4×	`cbrt-undiv` `rec-exp` `1-exp`
3×	`sub-neg` `pow-prod-down` `associate-/l*`
2×	`distribute-rgt-in` `pow-flip` `distribute-lft-in` `*-commutative` `div-inv` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`frac-2neg` `diff-log` `clear-num` `associate-/r*` `un-div-inv` `inv-pow`

Counts

4 → 122

Calls

4 calls:

2.0ms	(- 1.0 (* x (/ 1 (* (- y z) (- y t)))))
9.0ms	(* (- y z) (- y t))
9.0ms	(/ 1 (* (- y z) (- y t)))
16.0ms	(* x (/ 1 (* (- y z) (- y t))))

series61.0ms

Counts

4 → 12

Calls

4 calls:

25.0ms	(- 1.0 (* x (/ 1 (* (- y z) (- y t)))))
6.0ms	(* (- y z) (- y t))
13.0ms	(/ 1 (* (- y z) (- y t)))
18.0ms	(* x (/ 1 (* (- y z) (- y t))))

simplify63.0ms

Algorithm

egg-herbie

Counts

134 → 134

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	482	810
1	2436	715
2	5001	705

prune127.0ms

Filtered

87 candidates to 134 candidates (-54.0%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	133	1	134
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	134	5	139

Merged error: 0b

Counts

139 → 5

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
0.0b	(/ x (- y t))
0.0b	(/ 1 (- y z))
1.4b	(* (/ 1 (- y z)) (/ x (- y t)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
67×	`times-frac`
42×	`add-cube-cbrt`
32×	`add-exp-log`
21×	`associate-r` `associate-l`
20×	`add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`div-exp`
10×	`associate-/r*`
8×	`prod-exp` `associate-/r/`
7×	`pow1`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp` `unswap-sqr`
5×	`flip3--` `flip--`
4×	`cbrt-unprod` `div-inv`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `sub-neg` `pow-flip` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `inv-pow`

Counts

4 → 162

Calls

4 calls:

2.0ms	(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
7.0ms	(/ x (- y t))
5.0ms	(/ 1 (- y z))
20.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

series60.0ms

Counts

4 → 12

Calls

4 calls:

18.0ms	(- 1.0 (* (/ 1 (- y z)) (/ x (- y t))))
7.0ms	(/ x (- y t))
4.0ms	(/ 1 (- y z))
30.0ms	(* (/ 1 (- y z)) (/ x (- y t)))

simplify69.0ms

Algorithm

egg-herbie

Counts

174 → 174

Iterations

Useful iterations: 2 (54.0ms)

Iter	Nodes	Cost
0	580	1032
1	2641	917
2	5001	885

prune137.0ms

Filtered

108 candidates to 174 candidates (-61.1%)

Pruning

5 alts after pruning (2 fresh and 3 done)

	Pruned	Kept	Total
New	174	0	174
Fresh	0	2	2
Picked	0	1	1
Done	0	2	2
Total	174	5	179

Merged error: 0b

Counts

179 → 5

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(- 1.0 (* (/ x (- y z)) (/ 1 (- y t))))
0.0b	(/ x (- y z))
0.0b	(/ 1 (- y t))
2.4b	(* (/ x (- y z)) (/ 1 (- y t)))

rewrite41.0ms

Algorithm

rewrite-expression-head

Rules

87×	`add-sqr-sqrt`
72×	`*-un-lft-identity`
67×	`times-frac`
42×	`add-cube-cbrt`
32×	`add-exp-log`
21×	`associate-r` `associate-l`
20×	`add-cbrt-cube`
14×	`distribute-lft-out--` `difference-of-squares`
11×	`div-exp`
10×	`associate-/r*`
8×	`prod-exp` `associate-/r/`
7×	`pow1`
6×	`cbrt-undiv` `associate-/l*` `add-log-exp` `unswap-sqr`
5×	`flip3--` `flip--`
4×	`cbrt-unprod` `div-inv`
3×	`rec-exp` `1-exp`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `sub-neg` `pow-flip` `diff-log` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `inv-pow`

Counts

4 → 163

Calls

4 calls:

2.0ms	(- 1.0 (* (/ x (- y z)) (/ 1 (- y t))))
5.0ms	(/ x (- y z))
5.0ms	(/ 1 (- y t))
20.0ms	(* (/ x (- y z)) (/ 1 (- y t)))

series50.0ms

Counts

4 → 12

Calls

4 calls:

22.0ms	(- 1.0 (* (/ x (- y z)) (/ 1 (- y t))))
7.0ms	(/ x (- y z))
4.0ms	(/ 1 (- y t))
18.0ms	(* (/ x (- y z)) (/ 1 (- y t)))

simplify65.0ms

Algorithm

egg-herbie

Counts

175 → 175

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	589	1034
1	2573	915
2	5002	873

prune133.0ms

Filtered

109 candidates to 175 candidates (-60.6%)

Pruning

5 alts after pruning (1 fresh and 4 done)

	Pruned	Kept	Total
New	175	0	175
Fresh	0	1	1
Picked	0	1	1
Done	0	3	3
Total	175	5	180

Merged error: 0b

Counts

180 → 5

regimes402.0ms

Accuracy

0% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 0.6b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	11	5
1	11	5

end0.0ms

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 0.671387%

Guaranteed chance to sample good point: 75.015362%

Results

286.0ms	8000×	body	80	valid
17.0ms	357×	body	80	invalid

Details

sample1.1s

simplify65.0ms

prune4.0ms

localize8.0ms

rewrite32.0ms

series46.0ms

simplify44.0ms

prune104.0ms

localize9.0ms

rewrite42.0ms

series61.0ms

simplify63.0ms

prune127.0ms

localize10.0ms

rewrite41.0ms

series60.0ms

simplify69.0ms

prune137.0ms

localize9.0ms

rewrite41.0ms

series50.0ms

simplify65.0ms

prune133.0ms

regimes402.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample1.7s

Profiling