Details

sample27.0ms

Algorithm

intervals

Results

12.0ms	334×	body	80	valid
1.0ms	5×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify35.0ms

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

prune2.0ms

Filtered

1 candidates to 0 candidates (0.0%)

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

localize10.0ms

Local error

Found 4 expressions with local error:

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

rewrite46.0ms

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))
16.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
6.0ms	(+ (+ y z) z)

series152.0ms

Counts

4 → 12

Calls

4 calls:

32.0ms	(+ (+ (+ y z) z) y)
38.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
58.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
24.0ms	(+ (+ y z) z)

simplify49.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (42.0ms)

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

prune152.0ms

Filtered

83 candidates to 58 candidates (69.9%)

Pruning

4 alts after pruning (4 fresh and 0 done)

	Pruned	Kept	Total
New	79	4	83
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	80	4	84

Merged error: 0.0b

Counts

84 → 4

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite40.0ms

Algorithm

rewrite-expression-head

Rules

28×	`*-un-lft-identity`
16×	`distribute-lft-out`
14×	`add-log-exp`
7×	`add-sqr-sqrt` `associate-r` `sum-log`
5×	`pow1` `add-exp-log` `add-cube-cbrt` `add-cbrt-cube`
3×	`associate-+l+` `flip3-+` `associate-l` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `distribute-lft-in` `associate-*r/`
1×	`pow-prod-down` `prod-exp` `*-commutative` `cbrt-unprod` `unswap-sqr`

Counts

3 → 56

Calls

3 calls:

9.0ms	(+ (+ y (+ z z)) y)
15.0ms	(* x (+ (+ (+ y (+ z z)) y) t))
14.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))

series136.0ms

Counts

3 → 9

Calls

3 calls:

35.0ms	(+ (+ y (+ z z)) y)
39.0ms	(* x (+ (+ (+ y (+ z z)) y) t))
62.0ms	(+ (* x (+ (+ (+ y (+ z z)) y) t)) (* y 5.0))

simplify44.0ms

Algorithm

egg-herbie

Counts

65 → 65

Iterations

Useful iterations: 1 (9.0ms)

Iter	Nodes	Cost
0	322	421
1	1439	385
2	5003	385

prune112.0ms

Filtered

65 candidates to 43 candidates (66.2%)

Pruning

4 alts after pruning (3 fresh and 1 done)

	Pruned	Kept	Total
New	65	0	65
Fresh	0	3	3
Picked	0	1	1
Done	0	0	0
Total	65	4	69

Merged error: 0.0b

Counts

69 → 4

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

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:

10.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))
7.0ms	(* (* 2 x) (+ y z))
8.0ms	(+ (* (* 2 x) (+ y z)) (* x t))

series146.0ms

Counts

3 → 9

Calls

3 calls:

56.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))
45.0ms	(* (* 2 x) (+ y z))
45.0ms	(+ (* (* 2 x) (+ y z)) (* x t))

simplify60.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (11.0ms)

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

prune99.0ms

Filtered

58 candidates to 40 candidates (69.0%)

Pruning

4 alts after pruning (2 fresh and 2 done)

	Pruned	Kept	Total
New	58	0	58
Fresh	0	2	2
Picked	0	1	1
Done	0	1	1
Total	58	4	62

Merged error: 0.0b

Counts

62 → 4

localize14.0ms

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))))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

rewrite73.0ms

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:

29.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (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)))
16.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

series1.4s

Counts

4 → 12

Calls

4 calls:

386.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
470.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
283.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
276.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))

simplify54.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 2 (37.0ms)

Iter	Nodes	Cost
0	409	2070
1	1426	1949
2	5001	1842

prune299.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

7 alts after pruning (5 fresh and 2 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	0	1	1
Picked	0	1	1
Done	1	1	2
Total	96	7	103

Merged error: 0.0b

Counts

103 → 7

regimes208.0ms

Accuracy

0% (0.0b 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	18	7
1	18	7

end0.0ms

sample768.0ms

Algorithm

intervals

Results

429.0ms	10709×	body	80	valid
17.0ms	112×	body	640	valid
16.0ms	87×	body	1280	valid
6.0ms	61×	body	320	valid
3.0ms	33×	body	160	valid

Details

sample27.0ms

simplify35.0ms

prune2.0ms

localize10.0ms

rewrite46.0ms

series152.0ms

simplify49.0ms

prune152.0ms

localize13.0ms

rewrite40.0ms

series136.0ms

simplify44.0ms

prune112.0ms

localize14.0ms

rewrite26.0ms

series146.0ms

simplify60.0ms

prune99.0ms

localize14.0ms

rewrite73.0ms

series1.4s

simplify54.0ms

prune299.0ms

regimes208.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample768.0ms

Profiling