Details

sample26.0ms

Algorithm

intervals

Results

12.0ms	336×	body	80	valid
1.0ms	4×	body	640	valid
0.0ms	2×	body	1280	valid
0.0ms	3×	body	320	valid
0.0ms	1×	body	160	valid

simplify37.0ms

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

rewrite47.0ms

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:

14.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
14.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
6.0ms	(+ (+ y z) z)
11.0ms	(+ (+ (+ y z) z) y)

series149.0ms

Counts

4 → 12

Calls

4 calls:

57.0ms	(+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))
37.0ms	(* x (+ (+ (+ (+ y z) z) y) t))
25.0ms	(+ (+ y z) z)
29.0ms	(+ (+ (+ y z) z) y)

simplify48.0ms

Algorithm

egg-herbie

Counts

83 → 83

Iterations

Useful iterations: 2 (41.0ms)

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

prune153.0ms

Filtered

83 candidates to 58 candidates (69.9%)

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

localize14.0ms

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))

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:

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

series139.0ms

Counts

3 → 9

Calls

3 calls:

38.0ms	(* (* 2 x) (+ y z))
58.0ms	(+ (+ (* (* 2 x) (+ y z)) (* x t)) (* y 5.0))
43.0ms	(+ (* (* 2 x) (+ y z)) (* x t))

simplify59.0ms

Algorithm

egg-herbie

Counts

58 → 58

Iterations

Useful iterations: 1 (10.0ms)

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

prune104.0ms

Filtered

58 candidates to 40 candidates (69.0%)

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

localize15.0ms

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)))
0.5b	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
0.5b	(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))))
12.0ms	(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:

581.0ms	(* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))
275.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
280.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
279.0ms	(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	1426	1949
2	5001	1842

prune300.0ms

Filtered

99 candidates to 75 candidates (75.8%)

Pruning

8 alts after pruning (6 fresh and 2 done)

	Pruned	Kept	Total
New	95	4	99
Fresh	1	2	3
Picked	0	1	1
Done	0	1	1
Total	96	8	104

Merged error: 0.0b

Counts

104 → 8

localize25.0ms

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

rewrite70.0ms

Algorithm

rewrite-expression-head

Rules

28×	`cbrt-div`
16×	`cbrt-prod`
9×	`flip3-+` `flip-+`
8×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `frac-times` `pow1/3` `add-cbrt-cube` `add-log-exp`
2×	`associate-r/` `associate-l/`

Counts

4 → 59

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)))
29.0ms	(cbrt (* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))))
14.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

series1.2s

Counts

4 → 12

Calls

4 calls:

280.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
276.0ms	(cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))
388.0ms	(cbrt (* (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))) (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0)))))
275.0ms	(cbrt (cbrt (+ (* x (+ (+ (+ (+ y z) z) y) t)) (* y 5.0))))

simplify46.0ms

Algorithm

egg-herbie

Counts

71 → 71

Iterations

Useful iterations: 2 (31.0ms)

Iter	Nodes	Cost
0	470	1677
1	1317	1581
2	5001	1563

prune301.0ms

Filtered

71 candidates to 63 candidates (88.7%)

Pruning

8 alts after pruning (5 fresh and 3 done)

	Pruned	Kept	Total
New	71	0	71
Fresh	0	5	5
Picked	0	1	1
Done	0	2	2
Total	71	8	79

Merged error: 0.0b

Counts

79 → 8

regimes211.0ms

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	20	7
1	20	7

end0.0ms

sample701.0ms

Algorithm

intervals

Results

390.0ms	10618×	body	80	valid
16.0ms	80×	body	1280	valid
16.0ms	114×	body	640	valid
6.0ms	54×	body	320	valid
4.0ms	31×	body	160	valid

Details

sample26.0ms

simplify37.0ms

prune2.0ms

localize10.0ms

rewrite47.0ms

series149.0ms

simplify48.0ms

prune153.0ms

localize14.0ms

rewrite26.0ms

series139.0ms

simplify59.0ms

prune104.0ms

localize15.0ms

rewrite73.0ms

series1.4s

simplify55.0ms

prune300.0ms

localize25.0ms

rewrite70.0ms

series1.2s

simplify46.0ms

prune301.0ms

regimes211.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample701.0ms

Profiling