Details

sample70.0ms

Algorithm

intervals

Results

31.0ms	827×	body	80	nan
11.0ms	282×	body	80	valid

simplify98.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	76	10
2	211	10
3	530	10
4	1065	10
5	2198	10
6	3794	10
7	5001	10

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

localize13.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-*r/`
7×	`associate-*l/`
6×	`flip3--` `sqrt-div` `sqrt-prod` `flip--`
5×	`*-commutative`
4×	`frac-times` `associate-/r*` `associate-/r/`
3×	`flip3-+` `associate-l` `flip-+`
2×	`+-commutative` `distribute-rgt-in` `frac-2neg` `distribute-lft-in` `clear-num` `div-inv`
1×	`pow1/2`

Counts

4 → 34

Calls

4 calls:

7.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
4.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
5.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
4.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

series513.0ms

Counts

4 → 12

Calls

4 calls:

116.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
73.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
179.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
144.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))

simplify58.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 2 (52.0ms)

Iter	Nodes	Cost
0	580	515
1	2402	491
2	5001	487

prune166.0ms

Filtered

46 candidates to 44 candidates (95.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	41	5	46
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	42	5	47

Merged error: 0.0b

Counts

47 → 5

localize16.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
7.7b	(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

rewrite24.0ms

Algorithm

rewrite-expression-head

Rules

22×	`associate-*l/`
13×	`associate-*r/`
12×	`sqrt-prod`
10×	`frac-times` `flip3--` `associate-/r*` `flip--`
9×	`*-commutative`
8×	`sqrt-div`
6×	`associate-l` `associate-/r/`
5×	`frac-2neg` `associate-r` `clear-num`
3×	`div-inv`
1×	`pow1/2`

Counts

4 → 44

Calls

4 calls:

4.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
5.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
4.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
8.0ms	(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

series567.0ms

Counts

4 → 12

Calls

4 calls:

74.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
182.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
147.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
164.0ms	(* (- a (/ 1.0 3.0)) (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand))

simplify58.0ms

Algorithm

egg-herbie

Counts

56 → 56

Iterations

Useful iterations: 2 (51.0ms)

Iter	Nodes	Cost
0	600	551
1	2525	522
2	5001	516

prune212.0ms

Filtered

56 candidates to 56 candidates (100.0%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	51	5	56
Fresh	4	0	4
Picked	1	0	1
Done	0	0	0
Total	56	5	61

Merged error: 0b

Counts

61 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9.0 (- a (/ 1.0 3.0)))
0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b	(/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
7.7b	(* (- a (/ 1.0 3.0)) (* 1.0 (/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))

rewrite22.0ms

Algorithm

rewrite-expression-head

Rules

29×	`associate-*r/`
12×	`frac-times`
11×	`flip3--` `flip--`
10×	`sqrt-prod`
8×	`associate-r` `associate-/r` `-commutative`
7×	`clear-num`
6×	`sqrt-div`
4×	`frac-2neg` `associate-/r/`
3×	`un-div-inv`
2×	`distribute-rgt-in` `sub-neg` `distribute-lft-in` `associate-*l/` `div-inv`
1×	`pow1/2`

Counts

4 → 45

Calls

4 calls:

3.0ms	(* 9.0 (- a (/ 1.0 3.0)))
4.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
4.0ms	(/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
8.0ms	(* (- a (/ 1.0 3.0)) (* 1.0 (/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))

series438.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* 9.0 (- a (/ 1.0 3.0)))
76.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
157.0ms	(/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
166.0ms	(* (- a (/ 1.0 3.0)) (* 1.0 (/ rand (sqrt (* 9.0 (- a (/ 1.0 3.0)))))))

simplify51.0ms

Algorithm

egg-herbie

Counts

57 → 57

Iterations

Useful iterations: 2 (44.0ms)

Iter	Nodes	Cost
0	518	539
1	2055	516
2	5001	509

prune187.0ms

Filtered

57 candidates to 49 candidates (86.0%)

Pruning

5 alts after pruning (4 fresh and 1 done)

	Pruned	Kept	Total
New	54	3	57
Fresh	3	1	4
Picked	0	1	1
Done	0	0	0
Total	57	5	62

Merged error: 0b

Counts

62 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
0.2b	(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.3b	(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

rewrite26.0ms

Algorithm

rewrite-expression-head

Rules

22×	`associate-*l/`
20×	`frac-times`
18×	`associate-*r/`
16×	`flip3--` `sqrt-prod` `flip--`
14×	`associate-/r*`
11×	`*-commutative`
9×	`clear-num`
8×	`sqrt-div`
7×	`frac-2neg`
6×	`associate-r` `associate-/r/`
5×	`associate-l`
3×	`div-inv`
2×	`un-div-inv`
1×	`pow1/2`

Counts

4 → 58

Calls

4 calls:

4.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
9.0ms	(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
4.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
7.0ms	(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

series523.0ms

Counts

4 → 12

Calls

4 calls:

78.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
167.0ms	(* (* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))) rand)
147.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
131.0ms	(* (- a (/ 1.0 3.0)) (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))))

simplify57.0ms

Algorithm

egg-herbie

Counts

70 → 70

Iterations

Useful iterations: 2 (48.0ms)

Iter	Nodes	Cost
0	577	640
1	2232	610
2	5001	602

prune248.0ms

Filtered

70 candidates to 68 candidates (97.1%)

Pruning

5 alts after pruning (3 fresh and 2 done)

	Pruned	Kept	Total
New	70	0	70
Fresh	0	3	3
Picked	0	1	1
Done	0	1	1
Total	70	5	75

Merged error: 0b

Counts

75 → 5

regimes76.0ms

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	19	13
1	19	13

end0.0ms

sample1.8s

Algorithm

intervals

Results

914.0ms	27471×	body	80	nan
324.0ms	9168×	body	80	valid