Details

sample68.0ms

Algorithm

intervals

Results

33.0ms	940×	body	80	nan
10.0ms	288×	body	80	valid

simplify90.0ms

Algorithm

egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	27	10
1	72	10
2	192	10
3	437	10
4	816	10
5	1578	10
6	2764	10
7	5002	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

localize10.0ms

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)))
0.2b	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
0.3b	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
0.4b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite20.0ms

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)))
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)))))
3.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

series531.0ms

Counts

4 → 12

Calls

4 calls:

124.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)))
187.0ms	(* (/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0))))) rand)
145.0ms	(/ 1.0 (sqrt (* 9.0 (- a (/ 1.0 3.0)))))
75.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify55.0ms

Algorithm

egg-herbie

Counts

46 → 46

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	551	522
1	2274	501
2	5001	501

prune171.0ms

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

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9.0 (- a (/ 1.0 3.0)))
0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ rand (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0))))
0.2b	(/ rand (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0))
0.4b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

rewrite20.0ms

Algorithm

rewrite-expression-head

Rules

8×	`associate-*r/` `associate-/r/`
6×	`flip3--` `flip--`
4×	`distribute-rgt-in` `frac-times` `distribute-lft-in` `sqrt-div` `sqrt-prod` `*-commutative`
3×	`flip3-+` `flip-+`
2×	`+-commutative` `sub-neg` `frac-2neg` `associate-l/` `clear-num` `div-inv` `associate-/l/` `associate-/l`
1×	`pow1/2` `associate-r` `distribute-rgt1-in` `associate-/r*`

Counts

4 → 37

Calls

4 calls:

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

series434.0ms

Counts

4 → 12

Calls

4 calls:

39.0ms	(* 9.0 (- a (/ 1.0 3.0)))
118.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ rand (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0))))
206.0ms	(/ rand (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0))
72.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))

simplify45.0ms

Algorithm

egg-herbie

Counts

49 → 49

Iterations

Useful iterations: 1 (11.0ms)

Iter	Nodes	Cost
0	487	499
1	1844	485
2	5001	485

prune145.0ms

Filtered

49 candidates to 42 candidates (85.7%)

Pruning

5 alts after pruning (5 fresh and 0 done)

	Pruned	Kept	Total
New	46	3	49
Fresh	2	2	4
Picked	1	0	1
Done	0	0	0
Total	49	5	54

Merged error: 0.0b

Counts

54 → 5

localize11.0ms

Local error

Found 4 expressions with local error:

0.1b	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ 1 (/ (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0) rand))))
0.2b	(/ (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0) rand)
0.4b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
1.0b	(/ 1 (/ (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0) rand))

rewrite29.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 47

Calls

4 calls:

11.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ 1 (/ (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0) rand))))
6.0ms	(/ (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0) rand)
3.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
7.0ms	(/ 1 (/ (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0) rand))

series533.0ms

Counts

4 → 12

Calls

4 calls:

118.0ms	(* (- a (/ 1.0 3.0)) (+ 1.0 (/ 1 (/ (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0) rand))))
163.0ms	(/ (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0) rand)
71.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
180.0ms	(/ 1 (/ (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0) rand))

simplify56.0ms

Algorithm

egg-herbie

Counts

59 → 59

Iterations

Useful iterations: 1 (12.0ms)

Iter	Nodes	Cost
0	612	603
1	2244	574
2	5001	574

prune188.0ms

Filtered

59 candidates to 53 candidates (89.8%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	58	1	59
Fresh	0	4	4
Picked	0	1	1
Done	0	0	0
Total	58	6	64

Merged error: 0.0b

Counts

64 → 6

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b	(* 9.0 (- a (/ 1.0 3.0)))
0.2b	(/ (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0) rand)
0.4b	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
8.8b	(/ (- a (/ 1.0 3.0)) (/ (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0) rand))

rewrite21.0ms

Algorithm

rewrite-expression-head

Rules

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

Counts

4 → 41

Calls

4 calls:

3.0ms	(* 9.0 (- a (/ 1.0 3.0)))
6.0ms	(/ (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0) rand)
3.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
7.0ms	(/ (- a (/ 1.0 3.0)) (/ (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0) rand))

series484.0ms

Counts

4 → 12

Calls

4 calls:

46.0ms	(* 9.0 (- a (/ 1.0 3.0)))
183.0ms	(/ (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0) rand)
95.0ms	(sqrt (* 9.0 (- a (/ 1.0 3.0))))
161.0ms	(/ (- a (/ 1.0 3.0)) (/ (/ (sqrt (* 9.0 (- a (/ 1.0 3.0)))) 1.0) rand))

simplify42.0ms

Algorithm

egg-herbie

Counts

53 → 53

Iterations

Useful iterations: 2 (36.0ms)

Iter	Nodes	Cost
0	489	408
1	1643	388
2	5002	381

prune153.0ms

Filtered

53 candidates to 45 candidates (84.9%)

Pruning

6 alts after pruning (5 fresh and 1 done)

	Pruned	Kept	Total
New	50	3	53
Fresh	2	2	4
Picked	0	1	1
Done	1	0	1
Total	53	6	59

Merged error: 0.0b

Counts

59 → 6

regimes70.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify4.0ms

Algorithm

egg-herbie

Iterations

Useful iterations: 0 (0.0ms)

Iter	Nodes	Cost
0	17	13
1	17	13

end0.0ms

sample1.8s

Algorithm

intervals

Results

910.0ms	28053×	body	80	nan
312.0ms	9183×	body	80	valid