Details

Time bar (total: 9.5s)

sample44.0ms

Algorithm
intervals
Results
18.0ms292×body80valid
6.0ms98×body80nan

simplify52.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0369
1819
21829
34569
415579
550019

prune3.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.9b

Counts
2 → 1

localize14.0ms

Local error

Found 4 expressions with local error:

2.9b
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
4.9b
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
5.5b
(/ (* M D) (* 2.0 d))
13.6b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
12×*-commutative
8×times-frac
6×associate-*l*
5×unpow-prod-down associate-*r/
4×sqrt-div
3×clear-num div-inv
2×flip3-- frac-2neg associate-/r* flip-- associate-/l*
1×pow1/2 associate-*r* un-div-inv sqr-pow
Counts
4 → 29
Calls
4 calls:
3.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
2.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
5.0ms
(/ (* M D) (* 2.0 d))
11.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

series1.5s

Counts
4 → 12
Calls
4 calls:
398.0ms
(* w0 (sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l)))))
364.0ms
(sqrt (- 1.0 (* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))))
28.0ms
(/ (* M D) (* 2.0 d))
674.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) (/ h l))

simplify115.0ms

Algorithm
egg-herbie
Counts
41 → 41
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0241207
1809207
24240207
35002207

prune167.0ms

Filtered
41 candidates to 34 candidates (82.9%)
Pruning

8 alts after pruning (8 fresh and 0 done)

PrunedKeptTotal
New33841
Fresh000
Picked101
Done000
Total34842

Merged error: 9.4b

Counts
42 → 8

localize14.0ms

Local error

Found 4 expressions with local error:

4.6b
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
4.7b
(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)
4.9b
(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
5.5b
(/ (* M D) (* 2.0 d))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
16×*-commutative
12×times-frac associate-*l*
10×unpow-prod-down associate-/l*
4×div-inv
2×frac-2neg sqrt-div clear-num associate-/r* sqr-pow
1×flip3-- pow1/2 flip--
Counts
4 → 32
Calls
4 calls:
7.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
9.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)
2.0ms
(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
5.0ms
(/ (* M D) (* 2.0 d))

series1.8s

Counts
4 → 12
Calls
4 calls:
760.0ms
(* (pow (/ (* M D) (* 2.0 d)) 2.0) h)
690.0ms
(/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)
370.0ms
(sqrt (- 1.0 (/ (* (pow (/ (* M D) (* 2.0 d)) 2.0) h) l)))
29.0ms
(/ (* M D) (* 2.0 d))

simplify30.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0295224
1954224
25001224

prune203.0ms

Filtered
44 candidates to 39 candidates (88.6%)
Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New39544
Fresh347
Picked101
Done000
Total43952

Merged error: 8.3b

Counts
52 → 9

localize16.0ms

Local error

Found 4 expressions with local error:

4.9b
(sqrt (- 1.0 (/ (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ l (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)))))
5.5b
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
5.5b
(/ (* M D) (* 2.0 d))
5.5b
(/ (* M D) (* 2.0 d))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
17×*-commutative
12×times-frac
6×associate-*l*
5×unpow-prod-down
4×associate-/r* associate-/l*
3×div-inv
2×frac-2neg sqrt-div clear-num
1×flip3-- pow1/2 flip-- sqr-pow
Counts
4 → 32
Calls
4 calls:
2.0ms
(sqrt (- 1.0 (/ (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ l (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)))))
7.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
4.0ms
(/ (* M D) (* 2.0 d))
5.0ms
(/ (* M D) (* 2.0 d))

series1.1s

Counts
4 → 12
Calls
4 calls:
372.0ms
(sqrt (- 1.0 (/ (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) (/ l (* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)))))
710.0ms
(* (pow (/ (* M D) (* 2.0 d)) (/ 2.0 2)) h)
31.0ms
(/ (* M D) (* 2.0 d))
28.0ms
(/ (* M D) (* 2.0 d))

simplify35.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0296259
11218259
25001259

prune227.0ms

Filtered
44 candidates to 39 candidates (88.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New43144
Fresh088
Picked011
Done000
Total431053

Merged error: 8.3b

Counts
53 → 10

localize14.0ms

Local error

Found 4 expressions with local error:

4.6b
(* (pow (/ M (/ (* 2.0 d) D)) 2.0) h)
4.7b
(/ M (/ (* 2.0 d) D))
4.7b
(/ (* (pow (/ M (/ (* 2.0 d) D)) 2.0) h) l)
4.9b
(sqrt (- 1.0 (/ (* (pow (/ M (/ (* 2.0 d) D)) 2.0) h) l)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
15×associate-/r/ associate-/l*
14×associate-*l*
12×unpow-prod-down
5×frac-2neg clear-num *-commutative div-inv
2×sqrt-div sqr-pow
1×flip3-- pow1/2 associate-/r* flip--
Counts
4 → 32
Calls
4 calls:
6.0ms
(* (pow (/ M (/ (* 2.0 d) D)) 2.0) h)
4.0ms
(/ M (/ (* 2.0 d) D))
8.0ms
(/ (* (pow (/ M (/ (* 2.0 d) D)) 2.0) h) l)
2.0ms
(sqrt (- 1.0 (/ (* (pow (/ M (/ (* 2.0 d) D)) 2.0) h) l)))

series1.8s

Counts
4 → 12
Calls
4 calls:
757.0ms
(* (pow (/ M (/ (* 2.0 d) D)) 2.0) h)
28.0ms
(/ M (/ (* 2.0 d) D))
685.0ms
(/ (* (pow (/ M (/ (* 2.0 d) D)) 2.0) h) l)
319.0ms
(sqrt (- 1.0 (/ (* (pow (/ M (/ (* 2.0 d) D)) 2.0) h) l)))

simplify31.0ms

Algorithm
egg-herbie
Counts
44 → 44
Iterations

Useful iterations: 2 (26.0ms)

IterNodesCost
0295227
1998227
25002224

prune177.0ms

Filtered
44 candidates to 39 candidates (88.6%)
Pruning

9 alts after pruning (8 fresh and 1 done)

PrunedKeptTotal
New42244
Fresh268
Picked101
Done011
Total45954

Merged error: 8.3b

Counts
54 → 9

regimes757.0ms

Accuracy

0% (2.3b remaining)

Error of 9.3b against oracle of 6.9b and baseline of 9.3b

bsearch0.0ms

simplify1.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
02416
12416

end0.0ms

sample1.2s

Algorithm
intervals
Results
586.0ms9356×body80valid
196.0ms3083×body80nan