Details

sample203.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 93.756105%

Space saved by search: 96.853662%

Guaranteed chance to sample good point: 98.449612%

Results

8.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true
0.0ms	1×	pre	80	false

simplify50.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	18	7
1	47	7
2	106	7
3	265	7
4	1495	7
5	5001	7

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: 15.1b

Counts

2 → 1

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
14.6b	(/ (- (* a a) (* b b)) (* a a))

rewrite9.0ms

Algorithm

rewrite-expression-head

Rules

7×	`add-exp-log` `add-cbrt-cube`
6×	`add-sqr-sqrt`
5×	`add-cube-cbrt` `*-un-lft-identity`
4×	`times-frac` `associate-/l*`
3×	`pow1` `sqrt-prod`
2×	`cbrt-undiv` `div-exp` `associate-/l/` `add-log-exp` `difference-of-squares`
1×	`rem-sqrt-square` `flip3--` `frac-2neg` `sqrt-pow1` `pow1/2` `div-sub` `prod-exp` `clear-num` `associate-/r*` `flip--` `cbrt-unprod` `div-inv`

Counts

2 → 39

Calls

2 calls:

1.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
7.0ms	(/ (- (* a a) (* b b)) (* a a))

series18.0ms

Counts

2 → 6

Calls

2 calls:

10.0ms	(sqrt (fabs (/ (- (* a a) (* b b)) (* a a))))
8.0ms	(/ (- (* a a) (* b b)) (* a a))

simplify138.0ms

Algorithm

egg-herbie

Counts

45 → 45

Iterations

Useful iterations: 3 (133.0ms)

Iter	Nodes	Cost
0	197	340
1	816	296
2	4110	295
3	5001	292

prune65.0ms

Filtered

34 candidates to 45 candidates (-32.4%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	43	2	45
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	44	2	46

Merged error: 0.0b

Counts

46 → 2

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
0.0b	(/ (+ a b) a)
0.0b	(/ (- a b) a)
0.1b	(* (/ (+ a b) a) (/ (- a b) a))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

69×	`*-un-lft-identity`
68×	`add-sqr-sqrt`
58×	`times-frac`
41×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
16×	`associate-l`
9×	`associate-/l*`
7×	`pow1` `distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`cbrt-undiv` `div-exp` `associate-/r*`
4×	`prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
3×	`sqrt-prod`
2×	`frac-2neg` `clear-num`
1×	`frac-times` `rem-sqrt-square` `flip3--` `sqrt-pow1` `flip3-+` `pow1/2` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `flip-+`

Counts

4 → 143

Calls

4 calls:

1.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
7.0ms	(/ (+ a b) a)
5.0ms	(/ (- a b) a)
16.0ms	(* (/ (+ a b) a) (/ (- a b) a))

series26.0ms

Counts

4 → 12

Calls

4 calls:

9.0ms	(sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a))))
4.0ms	(/ (+ a b) a)
4.0ms	(/ (- a b) a)
9.0ms	(* (/ (+ a b) a) (/ (- a b) a))

simplify63.0ms

Algorithm

egg-herbie

Counts

155 → 155

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	493	951
1	2505	870
2	5002	867

prune168.0ms

Filtered

106 candidates to 155 candidates (-46.2%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	153	2	155
Fresh	1	0	1
Picked	1	0	1
Done	0	0	0
Total	155	2	157

Merged error: 0b

Counts

157 → 2

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ a (- a b))
0.0b	(/ (+ a b) a)
0.1b	(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
0.1b	(/ 1 (/ a (- a b)))

rewrite74.0ms

Algorithm

rewrite-expression-head

Rules

287×	`times-frac`
221×	`add-sqr-sqrt`
206×	`*-un-lft-identity`
138×	`add-cube-cbrt`
68×	`associate-r`
64×	`add-exp-log`
34×	`add-cbrt-cube`
30×	`div-exp`
29×	`associate-/r*`
25×	`distribute-lft-out--` `difference-of-squares`
18×	`associate-/r/`
16×	`associate-l`
14×	`cbrt-undiv` `prod-exp`
12×	`div-inv`
10×	`associate-/l*` `unswap-sqr`
8×	`flip3--` `flip--`
7×	`pow1` `distribute-lft-out`
6×	`rec-exp` `1-exp` `cbrt-unprod`
4×	`add-log-exp`
3×	`frac-2neg` `clear-num`
2×	`associate-/l/`
1×	`frac-times` `pow-flip` `flip3-+` `associate-r/` `pow-prod-down` `associate-l/` `un-div-inv` `*-commutative` `flip-+` `inv-pow`

Counts

4 → 305

Calls

4 calls:

5.0ms	(/ a (- a b))
5.0ms	(/ (+ a b) a)
34.0ms	(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
9.0ms	(/ 1 (/ a (- a b)))

series23.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(/ a (- a b))
4.0ms	(/ (+ a b) a)
9.0ms	(* (/ (+ a b) a) (/ 1 (/ a (- a b))))
5.0ms	(/ 1 (/ a (- a b)))

simplify50.0ms

Algorithm

egg-herbie

Counts

317 → 317

Iterations

Useful iterations: 1 (25.0ms)

Iter	Nodes	Cost
0	1036	2352
1	5002	2074

prune307.0ms

Filtered

200 candidates to 317 candidates (-58.5%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	317	0	317
Fresh	0	1	1
Picked	0	1	1
Done	0	0	0
Total	317	2	319

Merged error: 0b

Counts

319 → 2

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(/ (+ a b) a)
0.0b	(cbrt (pow (sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a)))) 3))
0.0b	(/ (- a b) a)
0.1b	(* (/ (+ a b) a) (/ (- a b) a))

rewrite35.0ms

Algorithm

rewrite-expression-head

Rules

73×	`*-un-lft-identity`
71×	`add-sqr-sqrt`
58×	`times-frac`
45×	`add-cube-cbrt`
20×	`add-exp-log` `add-cbrt-cube`
19×	`associate-r`
18×	`cbrt-prod`
16×	`associate-l`
9×	`associate-/l*`
7×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`
6×	`pow1` `cbrt-undiv` `unpow-prod-down` `cube-prod` `div-exp` `associate-/r*` `sqrt-prod`
4×	`prod-exp` `cbrt-unprod` `div-inv` `associate-/l/` `add-log-exp` `unswap-sqr`
2×	`frac-2neg` `clear-num`
1×	`cube-mult` `frac-times` `flip3--` `flip3-+` `pow1/3` `unpow3` `div-sub` `associate-r/` `pow-prod-down` `associate-l/` `*-commutative` `flip--` `rem-cbrt-cube` `flip-+` `sqr-pow`

Counts

4 → 157

Calls

4 calls:

5.0ms	(/ (+ a b) a)
3.0ms	(cbrt (pow (sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a)))) 3))
6.0ms	(/ (- a b) a)
16.0ms	(* (/ (+ a b) a) (/ (- a b) a))

series29.0ms

Counts

4 → 12

Calls

4 calls:

4.0ms	(/ (+ a b) a)
11.0ms	(cbrt (pow (sqrt (fabs (* (/ (+ a b) a) (/ (- a b) a)))) 3))
4.0ms	(/ (- a b) a)
9.0ms	(* (/ (+ a b) a) (/ (- a b) a))

simplify70.0ms

Algorithm

egg-herbie

Counts

169 → 169

Iterations

Useful iterations: 2 (56.0ms)

Iter	Nodes	Cost
0	562	1145
1	2861	1068
2	5001	1066

prune191.0ms

Filtered

109 candidates to 169 candidates (-55.0%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	169	0	169
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	169	2	171

Merged error: 0b

Counts

171 → 2

regimes66.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	15	8
1	15	8

end0.0ms

sample791.0ms

Algorithm

intervals

sampling

Space saved by range analysis: 93.756105%

Space saved by search: 96.853662%

Guaranteed chance to sample good point: 98.449612%

Results

258.0ms	8000×	body	80	valid
150.0ms	8000×	pre	80	true
1.0ms	63×	pre	80	false

Details

sample203.0ms

simplify50.0ms

prune3.0ms

localize9.0ms

rewrite9.0ms

series18.0ms

simplify138.0ms

prune65.0ms

localize8.0ms

rewrite35.0ms

series26.0ms

simplify63.0ms

prune168.0ms

localize12.0ms

rewrite74.0ms

series23.0ms

simplify50.0ms

prune307.0ms

localize11.0ms

rewrite35.0ms

series29.0ms

simplify70.0ms

prune191.0ms

regimes66.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample791.0ms

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