Details

sample1.7s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 14.712524%

Guaranteed chance to sample good point: 58.281748%

Results

9.0ms	248×	body	80	valid
2.0ms	45×	body	80	invalid
1.0ms	3×	body	1280	valid
0.0ms	3×	body	640	valid
0.0ms	2×	body	320	valid

simplify36.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	30	7
1	86	7
2	283	7
3	742	7
4	1197	7
5	1273	7
6	1273	7

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: 0.1b

Counts

2 → 1

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (+ y z) z) y)
0.0b	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
0.0b	(+ (+ y z) z)
0.0b	(* x (+ (+ (+ (+ y z) z) y) t))

rewrite48.0ms

Algorithm

rewrite-expression-head

Rules

34×	`*-un-lft-identity`
20×	`add-log-exp`
19×	`distribute-lft-out`
10×	`sum-log`
8×	`add-sqr-sqrt`
7×	`associate-r`
6×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
4×	`associate-+l+` `flip3-+` `flip-+`
3×	`+-commutative` `associate-l`
2×	`distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

4 → 71

Calls

4 calls:

8.0ms	(+ (+ (+ y z) z) y)
14.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
6.0ms	(+ (+ y z) z)
18.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

series34.0ms

Counts

4 → 12

Calls

4 calls:

5.0ms	(+ (+ (+ y z) z) y)
15.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
4.0ms	(+ (+ y z) z)
11.0ms	(* x (+ (+ (+ (+ y z) z) y) t))

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (41.0ms)

Iter	Nodes	Cost
0	374	480
1	1624	434
2	5001	419

prune100.0ms

Filtered

58 candidates to 83 candidates (-43.1%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	78	5	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	5	84

Merged error: 0.0b

Counts

84 → 5

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b	(* (* 2 x) (+ y z))
0.0b	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))
0.0b	(+ (* (* 2 x) (+ y z)) (* x t))

rewrite27.0ms

Algorithm

rewrite-expression-head

Rules

10×	`add-log-exp`
8×	`pow1` `add-exp-log` `add-cbrt-cube`
6×	`*-un-lft-identity`
4×	`add-sqr-sqrt` `add-cube-cbrt` `associate-r` `sum-log`
3×	`associate-+l+` `flip3-+` `pow-prod-down` `prod-exp` `cbrt-unprod` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`associate-l` `*-commutative` `distribute-lft-out`

Counts

3 → 49

Calls

3 calls:

7.0ms	(* (* 2 x) (+ y z))
12.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))
8.0ms	(+ (* (* 2 x) (+ y z)) (* x t))

series33.0ms

Counts

3 → 9

Calls

3 calls:

8.0ms	(* (* 2 x) (+ y z))
14.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))
11.0ms	(+ (* (* 2 x) (+ y z)) (* x t))

simplify56.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (10.0ms)

Iter	Nodes	Cost
0	340	387
1	1791	357
2	5001	357

prune74.0ms

Filtered

40 candidates to 58 candidates (-45.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	58	5	63

Merged error: 0.0b

Counts

63 → 5

localize18.0ms

Local error

Found 4 expressions with local error:

0.5b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.5b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.5b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.5b	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

rewrite72.0ms

Algorithm

rewrite-expression-head

Rules

25×	`cbrt-prod`
23×	`add-sqr-sqrt`
18×	`cbrt-div`
15×	`add-cube-cbrt` `*-un-lft-identity`
11×	`pow1`
9×	`flip3-+` `pow1/3` `flip-+`
6×	`add-exp-log` `swap-sqr` `associate-r` `associate-l`
4×	`frac-times` `add-cbrt-cube` `add-log-exp` `unswap-sqr`
2×	`associate-r/` `pow-prod-down` `associate-l/` `pow-sqr` `pow-prod-up`
1×	`pow2` `pow-plus` `prod-exp` `*-commutative` `cbrt-unprod`

Counts

4 → 87

Calls

4 calls:

13.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
13.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
13.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
30.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

series316.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
64.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
67.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
118.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

simplify55.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	409	2070
1	1434	1949
2	5001	1842

prune260.0ms

Filtered

75 candidates to 99 candidates (-32.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	96	3	99
Fresh	0	3	3
Picked	1	0	1
Done	0	1	1
Total	97	7	104

Merged error: 0.0b

Counts

104 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.5b	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.5b	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
0.5b	(* (cbrt (* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))) (cbrt (* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))))

rewrite138.0ms

Algorithm

rewrite-expression-head

Rules

396×	`cbrt-div`
148×	`frac-times`
126×	`flip3-+` `flip-+`
60×	`add-sqr-sqrt`
56×	`cbrt-prod`
50×	`associate-r/` `associate-l/`
32×	`pow1` `add-cube-cbrt` `*-un-lft-identity`
24×	`pow1/3`
22×	`swap-sqr` `associate-r` `associate-l`
16×	`unswap-sqr`
12×	`add-exp-log`
8×	`pow-prod-down` `pow-sqr` `pow-prod-up`
4×	`pow2` `pow-plus` `prod-exp` `*-commutative` `add-cbrt-cube` `cbrt-unprod` `add-log-exp`

Counts

4 → 258

Calls

4 calls:

36.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
32.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
30.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
23.0ms	(* (cbrt (* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))) (cbrt (* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))))

series704.0ms

Counts

4 → 12

Calls

4 calls:

117.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
114.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
114.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
359.0ms	(* (cbrt (* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))) (cbrt (* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))))

simplify140.0ms

Algorithm

egg-herbie

Counts

270 → 270

Iterations

Useful iterations: 2 (45.0ms)

Iter	Nodes	Cost
0	594	12208
1	1830	11814
2	5001	11281

prune1.0s

Filtered

144 candidates to 270 candidates (-87.5%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	270	0	270
Fresh	0	5	5
Picked	0	1	1
Done	0	1	1
Total	270	7	277

Merged error: 0.0b

Counts

277 → 7

regimes461.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	7
1	20	7

end0.0ms

sample2.4s

Algorithm

intervals

sampling

Space saved by range analysis: 0%

Space saved by search: 14.712524%

Guaranteed chance to sample good point: 58.281748%

Results

310.0ms	7706×	body	80	valid
55.0ms	1378×	body	80	invalid
16.0ms	120×	body	640	valid
14.0ms	82×	body	1280	valid
6.0ms	61×	body	320	valid
2.0ms	31×	body	160	valid

Details

sample1.7s

simplify36.0ms

prune4.0ms

localize11.0ms

rewrite48.0ms

series34.0ms

simplify49.0ms

prune100.0ms

localize10.0ms

rewrite27.0ms

series33.0ms

simplify56.0ms

prune74.0ms

localize18.0ms

rewrite72.0ms

series316.0ms

simplify55.0ms

prune260.0ms

localize23.0ms

rewrite138.0ms

series704.0ms

simplify140.0ms

prune1.0s

regimes461.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample2.4s

Profiling