Details

sample2.3s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 16.265869%

Guaranteed chance to sample good point: 41.519061%

Results

8.0ms	256×	body	80	valid
2.0ms	67×	body	80	invalid

simplify85.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	14	4
1	28	4
2	80	4
3	254	4
4	641	4
5	1066	4
6	2373	4
7	3914	4
8	5001	4

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: 0.0b

Counts

2 → 1

localize6.0ms

Local error

Found 1 expressions with local error:

0.0b	(* (- y z) (- t x))

rewrite10.0ms

Algorithm

rewrite-expression-head

Rules

9×	`add-sqr-sqrt`
7×	`*-un-lft-identity`
6×	`flip3--` `flip--`
5×	`associate-r` `associate-l`
4×	`frac-times`
3×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-r/` `associate-l/` `distribute-lft-out--` `difference-of-squares`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `add-log-exp` `unswap-sqr`

Counts

1 → 34

Calls

1 calls:

9.0ms

(* (- y z) (- t x))

series10.0ms

Counts

1 → 3

Calls

1 calls:

10.0ms

(* (- y z) (- t x))

simplify32.0ms

Algorithm

egg-herbie

Counts

37 → 37

Iterations

Useful iterations: 1 (7.0ms)

Iter	Nodes	Cost
0	218	207
1	960	193
2	5002	193

prune50.0ms

Filtered

26 candidates to 37 candidates (-42.3%)

Pruning

3 alts after pruning (3 fresh and 0 done)

	Pruned	Kept	Total
New	34	3	37
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	3	38

Merged error: 0.0b

Counts

38 → 3

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (- y z) t)
0.0b	(+ (* (- y z) t) (* (- y z) (neg x)))
0.0b	(* (- y z) (neg x))

rewrite23.0ms

Algorithm

rewrite-expression-head

Rules

17×	`add-sqr-sqrt`
13×	`-un-lft-identity` `associate-r*`
12×	`associate-*l/`
10×	`associate-l`
9×	`add-cube-cbrt`
7×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`flip3--` `flip--`
5×	`add-log-exp`
4×	`frac-add`
3×	`distribute-lft-neg-in` `distribute-rgt-neg-in` `distribute-rgt-neg-out`
2×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`+-commutative` `neg-mul-1` `flip3-+` `unsub-neg` `sum-log` `flip-+` `distribute-lft-out`

Counts

3 → 70

Calls

3 calls:

6.0ms	(* (- y z) t)
7.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))
7.0ms	(* (- y z) (neg x))

series29.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(* (- y z) t)
15.0ms	(+ (* (- y z) t) (* (- y z) (neg x)))
7.0ms	(* (- y z) (neg x))

simplify51.0ms

Algorithm

egg-herbie

Counts

79 → 79

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	385	436
1	1726	385
2	5003	379

prune83.0ms

Filtered

63 candidates to 79 candidates (-25.4%)

Pruning

3 alts after pruning (2 fresh and 1 done)

	Pruned	Kept	Total
New	79	0	79
Fresh	0	2	2
Picked	0	1	1
Done	0	0	0
Total	79	3	82

Merged error: 0.0b

Counts

82 → 3

localize10.0ms

Local error

Found 3 expressions with local error:

1.6b	(- (* y y) (* z z))
6.0b	(* (- (* y y) (* z z)) (- t x))
22.1b	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

rewrite28.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 79

Calls

3 calls:

4.0ms	(- (* y y) (* z z))
10.0ms	(* (- (* y y) (* z z)) (- t x))
12.0ms	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

series38.0ms

Counts

3 → 9

Calls

3 calls:

6.0ms	(- (* y y) (* z z))
13.0ms	(* (- (* y y) (* z z)) (- t x))
19.0ms	(/ (* (- (* y y) (* z z)) (- t x)) (+ y z))

simplify61.0ms

Algorithm

egg-herbie

Counts

88 → 88

Iterations

Useful iterations: 2 (53.0ms)

Iter	Nodes	Cost
0	442	718
1	2423	636
2	5002	628

prune87.0ms

Filtered

65 candidates to 88 candidates (-35.4%)

Pruning

3 alts after pruning (1 fresh and 2 done)

	Pruned	Kept	Total
New	88	0	88
Fresh	0	1	1
Picked	0	1	1
Done	0	1	1
Total	88	3	91

Merged error: 0.0b

Counts

91 → 3

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b	(* (- y z) (- t x))
0.2b	(* (sqrt (* (- y z) (- t x))) (sqrt (* (- y z) (- t x))))
1.0b	(sqrt (* (- y z) (- t x)))
1.0b	(sqrt (* (- y z) (- t x)))

rewrite59.0ms

Algorithm

rewrite-expression-head

Rules

160×	`sqrt-div`
148×	`frac-times`
126×	`flip3--` `flip--`
61×	`pow1`
50×	`associate-r/` `associate-l/`
32×	`sqrt-pow1`
23×	`pow-prod-down`
18×	`add-sqr-sqrt`
14×	`*-un-lft-identity`
12×	`pow1/2`
10×	`add-cube-cbrt` `pow-prod-up`
9×	`associate-r` `associate-l`
8×	`add-exp-log` `add-cbrt-cube`
6×	`sqrt-prod` `pow-sqr`
4×	`swap-sqr` `add-log-exp`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `prod-exp` `*-commutative` `cbrt-unprod` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`
1×	`pow2` `pow-plus` `sqrt-unprod` `rem-square-sqrt`

Counts

4 → 201

Calls

4 calls:

9.0ms	(* (- y z) (- t x))
20.0ms	(* (sqrt (* (- y z) (- t x))) (sqrt (* (- y z) (- t x))))
7.0ms	(sqrt (* (- y z) (- t x)))
7.0ms	(sqrt (* (- y z) (- t x)))

series1.5s

Counts

4 → 12

Calls

4 calls:

9.0ms	(* (- y z) (- t x))
10.0ms	(* (sqrt (* (- y z) (- t x))) (sqrt (* (- y z) (- t x))))
724.0ms	(sqrt (* (- y z) (- t x)))
727.0ms	(sqrt (* (- y z) (- t x)))

simplify84.0ms

Algorithm

egg-herbie

Counts

213 → 213

Iterations

Useful iterations: 2 (57.0ms)

Iter	Nodes	Cost
0	536	2687
1	2187	2620
2	5001	2598

prune198.0ms

Filtered

131 candidates to 213 candidates (-62.6%)

Pruning

4 alts after pruning (1 fresh and 3 done)

	Pruned	Kept	Total
New	212	1	213
Fresh	0	0	0
Picked	0	1	1
Done	0	2	2
Total	212	4	216

Merged error: 0b

Counts

216 → 4

regimes294.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	16	7
1	20	7
2	21	7
3	21	7

end0.0ms

sample3.2s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 16.265869%

Guaranteed chance to sample good point: 41.519061%

Results

259.0ms	8000×	body	80	valid
68.0ms	2160×	body	80	invalid

Details

sample2.3s

simplify85.0ms

prune4.0ms

localize6.0ms

rewrite10.0ms

series10.0ms

simplify32.0ms

prune50.0ms

localize8.0ms

rewrite23.0ms

series29.0ms

simplify51.0ms

prune83.0ms

localize10.0ms

rewrite28.0ms

series38.0ms

simplify61.0ms

prune87.0ms

localize9.0ms

rewrite59.0ms

series1.5s

simplify84.0ms

prune198.0ms

regimes294.0ms

bsearch0.0ms

simplify2.0ms

end0.0ms

sample3.2s

Profiling