Details

Time bar (total: 2.8s)

analyze246.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%12.5%87.5%0
0%12.5%87.5%1
0%12.5%87.5%2
3.1%9.3%87.5%3
3.1%6.2%90.7%4
4.7%4.7%90.7%5
4.7%3.5%91.8%6
5.6%2.5%91.8%7
5.9%1.8%92.3%8
6.4%1.3%92.3%9
6.6%0.9%92.5%10
6.8%0.6%92.5%11
6.9%0.5%92.6%12
7%0.3%92.6%13
7.1%0.2%92.7%14

sample24.0ms

Algorithm
intervals
Results
9.0ms256×body80valid
5.0ms260×pre80true
0.0ms4×body80invalid

simplify441.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (3.0ms)

IterNodesCost
04313
14313

prune12.0ms

Filtered
1 candidates to 1 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 0.1b

Counts
2 → 2

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (* m (- 1.0 m)) v)
0.0b
(* m (- 1.0 m))
0.0b
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×*-un-lft-identity
12×add-exp-log add-cbrt-cube
10×associate-*r*
9×add-cube-cbrt
8×flip3-- associate-*l* flip--
7×pow1
6×associate-*r/
4×frac-times sub-neg
3×times-frac prod-exp associate-/r* cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative associate-/l/ unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
3 → 79
Calls
3 calls:
7.0ms
(/ (* m (- 1.0 m)) v)
6.0ms
(* m (- 1.0 m))
16.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series25.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ (* m (- 1.0 m)) v)
5.0ms
(* m (- 1.0 m))
15.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify40.0ms

Algorithm
egg-herbie
Counts
88 → 88
Iterations

Useful iterations: 0 (32.0ms)

IterNodesCost
051391059

prune135.0ms

Filtered
64 candidates to 88 candidates (-37.5%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New82688
Fresh101
Picked101
Done000
Total84690

Merged error: 0b

Counts
90 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (- 1.0 m))
0.0b
(/ m (/ v (- 1.0 m)))
0.0b
(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
118×add-sqr-sqrt
109×*-un-lft-identity
73×add-cube-cbrt
26×associate-/r*
20×difference-of-squares
18×distribute-lft-out--
12×add-exp-log add-cbrt-cube
11×flip3-- associate-/r/ flip--
7×associate-*l*
6×div-inv associate-/l*
5×pow1 associate-*r*
4×cbrt-undiv frac-times div-exp
3×add-log-exp
2×sub-neg frac-2neg associate-*r/ associate-*l/ clear-num
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 173
Calls
3 calls:
5.0ms
(/ v (- 1.0 m))
8.0ms
(/ m (/ v (- 1.0 m)))
33.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

series18.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ v (- 1.0 m))
5.0ms
(/ m (/ v (- 1.0 m)))
7.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))

simplify64.0ms

Algorithm
egg-herbie
Counts
182 → 182
Iterations

Useful iterations: 0 (47.0ms)

IterNodesCost
049752580
149752580

prune243.0ms

Filtered
139 candidates to 182 candidates (-30.9%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1820182
Fresh055
Picked011
Done000
Total1826188

Merged error: 0b

Counts
188 → 6

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* 1.0 (- (* (- 1.0 m) (/ m v)) 1.0)) (* m (neg (- (* (- 1.0 m) (/ m v)) 1.0))))
0.1b
(* (- 1.0 m) (/ m v))
0.1b
(* (- 1.0 m) (/ m v))
0.2b
(* m (neg (- (* (- 1.0 m) (/ m v)) 1.0)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
36×associate-*r*
28×*-un-lft-identity
24×add-cube-cbrt
20×times-frac
16×add-exp-log add-cbrt-cube
13×associate-*l*
12×associate-*r/
10×pow1
9×flip3-- flip--
6×sub-neg distribute-neg-frac add-log-exp
5×prod-exp cbrt-unprod unswap-sqr
4×frac-times distribute-neg-in associate-*l/ frac-add
3×distribute-lft-neg-in distribute-rgt-in distribute-rgt-neg-in distribute-lft-in pow-prod-down *-commutative
2×cbrt-undiv associate-+l+ associate-+r+ div-exp distribute-rgt-neg-out div-inv distribute-lft-out-- difference-of-squares
1×+-commutative neg-mul-1 flip3-+ unsub-neg sum-log flip-+
Counts
4 → 126
Calls
4 calls:
13.0ms
(+ (* 1.0 (- (* (- 1.0 m) (/ m v)) 1.0)) (* m (neg (- (* (- 1.0 m) (/ m v)) 1.0))))
9.0ms
(* (- 1.0 m) (/ m v))
9.0ms
(* (- 1.0 m) (/ m v))
12.0ms
(* m (neg (- (* (- 1.0 m) (/ m v)) 1.0)))

series29.0ms

Counts
4 → 12
Calls
4 calls:
9.0ms
(+ (* 1.0 (- (* (- 1.0 m) (/ m v)) 1.0)) (* m (neg (- (* (- 1.0 m) (/ m v)) 1.0))))
8.0ms
(* (- 1.0 m) (/ m v))
5.0ms
(* (- 1.0 m) (/ m v))
7.0ms
(* m (neg (- (* (- 1.0 m) (/ m v)) 1.0)))

simplify45.0ms

Algorithm
egg-herbie
Counts
138 → 138
Iterations

Useful iterations: 0 (33.0ms)

IterNodesCost
051051918

prune182.0ms

Filtered
102 candidates to 138 candidates (-35.3%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New1380138
Fresh044
Picked011
Done011
Total1386144

Merged error: 0b

Counts
144 → 6

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (sqrt 1.0) (sqrt m))
0.1b
(* (- 1.0 m) (/ m v))
0.1b
(* (* (- (* (- 1.0 m) (/ m v)) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
0.1b
(* (- (* (- 1.0 m) (/ m v)) 1.0) (+ (sqrt 1.0) (sqrt m)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
34×frac-times
29×*-un-lft-identity
27×associate-*r*
24×flip3-- flip--
18×associate-*l/
16×add-exp-log add-cbrt-cube
15×add-cube-cbrt
14×sqrt-prod
13×pow1
12×flip3-+ flip-+
11×associate-*r/
10×times-frac
9×associate-*l* difference-of-squares
6×prod-exp cbrt-unprod add-log-exp
5×pow-prod-down distribute-lft-out--
3×sub-neg *-commutative unswap-sqr
2×distribute-rgt-in distribute-lft-in distribute-lft-out
1×cbrt-undiv diff-log div-exp div-inv
Counts
4 → 137
Calls
4 calls:
6.0ms
(- (sqrt 1.0) (sqrt m))
9.0ms
(* (- 1.0 m) (/ m v))
21.0ms
(* (* (- (* (- 1.0 m) (/ m v)) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
17.0ms
(* (- (* (- 1.0 m) (/ m v)) 1.0) (+ (sqrt 1.0) (sqrt m)))

series42.0ms

Counts
4 → 12
Calls
4 calls:
4.0ms
(- (sqrt 1.0) (sqrt m))
8.0ms
(* (- 1.0 m) (/ m v))
14.0ms
(* (* (- (* (- 1.0 m) (/ m v)) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
16.0ms
(* (- (* (- 1.0 m) (/ m v)) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify45.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 0 (30.0ms)

IterNodesCost
050492808

prune239.0ms

Filtered
111 candidates to 149 candidates (-34.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New1490149
Fresh033
Picked011
Done022
Total1496155

Merged error: 0b

Counts
155 → 6

regimes98.0ms

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)

IterNodesCost
0913
1913

end0.0ms

analyze48.0ms

Algorithm
search
Search
TrueOtherFalseIter
0%12.5%87.5%0
0%12.5%87.5%1
0%12.5%87.5%2
3.1%9.3%87.5%3
3.1%6.2%90.7%4
4.7%4.7%90.7%5
4.7%3.5%91.8%6
5.6%2.5%91.8%7
5.9%1.8%92.3%8
6.4%1.3%92.3%9
6.6%0.9%92.5%10
6.8%0.6%92.5%11
6.9%0.5%92.6%12
7%0.3%92.6%13
7.1%0.2%92.7%14

sample551.0ms

Algorithm
intervals
Results
267.0ms8000×body80valid
153.0ms8061×pre80true
2.0ms61×body80invalid

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