Details

sample32.0ms

Algorithm

intervals

Results

13.0ms	349×	body	80	valid
0.0ms	2×	body	1280	valid
0.0ms	2×	body	640	valid
0.0ms	2×	body	320	valid
0.0ms	1×	body	160	valid

simplify7.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (6.0ms)

Iter	Nodes	Cost
0	399	13
1	399	13

prune8.0ms

Filtered

1 candidates to 1 candidates (0.0%)

Pruning

1 alts after pruning (1 fresh and 0 done)

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

Merged error: 0.1b

Counts

2 → 1

localize8.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

2 → 35

Calls

2 calls:

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

series26.0ms

Counts

2 → 6

Calls

2 calls:

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

simplify38.0ms

Algorithm

egg-herbie

Counts

41 → 41

Iterations

Useful iterations: 0 (33.0ms)

Iter	Nodes	Cost
0	5099	519

prune79.0ms

Filtered

31 candidates to 41 candidates (-32.3%)

Pruning

7 alts after pruning (7 fresh and 0 done)

	Pruned	Kept	Total
New	34	7	41
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	35	7	42

Merged error: 0.0b

Counts

42 → 7

localize13.0ms

Local error

Found 3 expressions with local error:

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

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

3 → 45

Calls

3 calls:

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

series35.0ms

Counts

3 → 9

Calls

3 calls:

12.0ms	(+ (* x (* (+ y z) 2)) (* x t))
8.0ms	(* x (* (+ y z) 2))
15.0ms	(+ (+ (* x (* (+ y z) 2)) (* x t)) (* y 5.0))

simplify46.0ms

Algorithm

egg-herbie

Counts

54 → 54

Iterations

Useful iterations: 0 (40.0ms)

Iter	Nodes	Cost
0	5487	633

prune78.0ms

Filtered

38 candidates to 54 candidates (-42.1%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	54	0	54
Fresh	0	6	6
Picked	0	1	1
Done	0	0	0
Total	54	7	61

Merged error: 0.0b

Counts

61 → 7

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
0.6b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

rewrite47.0ms

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:

20.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
8.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
8.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
8.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

series332.0ms

Counts

4 → 12

Calls

4 calls:

115.0ms	(* (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))) (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0))))
67.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
67.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
83.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))

simplify46.0ms

Algorithm

egg-herbie

Counts

99 → 99

Iterations

Useful iterations: 0 (32.0ms)

Iter	Nodes	Cost
0	5132	2596

prune269.0ms

Filtered

80 candidates to 99 candidates (-23.8%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	98	1	99
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	99	7	106

Merged error: 0.0b

Counts

106 → 7

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
0.6b	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
1.2b	(pow (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))) 6)

rewrite38.0ms

Algorithm

rewrite-expression-head

Rules

18×	`cbrt-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`unpow-prod-down`
6×	`cbrt-div`
5×	`pow1` `add-exp-log`
4×	`pow1/3` `add-cbrt-cube` `add-log-exp`
3×	`pow-unpow` `flip3-+` `flip-+`
2×	`pow-pow`
1×	`pow-to-exp` `pow-exp` `sqr-pow`

Counts

4 → 63

Calls

4 calls:

9.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
8.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
8.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
11.0ms	(pow (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))) 6)

series409.0ms

Counts

4 → 12

Calls

4 calls:

67.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
66.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
66.0ms	(cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))
210.0ms	(pow (cbrt (cbrt (+ (* x (+ (* (+ y z) 2) t)) (* y 5.0)))) 6)

simplify45.0ms

Algorithm

egg-herbie

Counts

75 → 75

Iterations

Useful iterations: 0 (34.0ms)

Iter	Nodes	Cost
0	4986	1625
1	4986	1625

prune283.0ms

Filtered

63 candidates to 75 candidates (-19.0%)

Pruning

7 alts after pruning (6 fresh and 1 done)

	Pruned	Kept	Total
New	74	1	75
Fresh	0	5	5
Picked	1	0	1
Done	0	1	1
Total	75	7	82

Merged error: 0.0b

Counts

82 → 7

regimes296.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	20	15
1	20	15

end0.0ms

sample909.0ms

Algorithm

intervals

Results

415.0ms	10607×	body	80	valid
14.0ms	80×	body	1280	valid
12.0ms	83×	body	640	valid
8.0ms	70×	body	320	valid
2.0ms	32×	body	160	valid

Details

sample32.0ms

simplify7.0ms

prune8.0ms

localize8.0ms

rewrite20.0ms

series26.0ms

simplify38.0ms

prune79.0ms

localize13.0ms

rewrite26.0ms

series35.0ms

simplify46.0ms

prune78.0ms

localize13.0ms

rewrite47.0ms

series332.0ms

simplify46.0ms

prune269.0ms

localize23.0ms

rewrite38.0ms

series409.0ms

simplify45.0ms

prune283.0ms

regimes296.0ms

bsearch0.0ms

simplify1.0ms

end0.0ms

sample909.0ms

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