Details

Time bar (total: 2.4s)

analyze242.0ms

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

sample23.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
5.0ms260×pre80true
0.0ms4×body80invalid

simplify431.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04311
14311

prune26.0ms

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))
0.2b
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity
12×add-exp-log add-cbrt-cube
9×add-cube-cbrt
8×associate-*r* associate-*l*
7×pow1
4×associate-*r/
3×flip3-- times-frac prod-exp associate-/r* flip-- cbrt-unprod add-log-exp
2×cbrt-undiv sub-neg div-exp pow-prod-down associate-*l/ *-commutative associate-/l/ distribute-lft-out-- difference-of-squares unswap-sqr
1×distribute-rgt-in frac-2neg distribute-lft-in clear-num div-inv associate-/l*
Counts
3 → 69
Calls
3 calls:
7.0ms
(/ (* m (- 1.0 m)) v)
6.0ms
(* m (- 1.0 m))
13.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series27.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(/ (* m (- 1.0 m)) v)
5.0ms
(* m (- 1.0 m))
16.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify45.0ms

Algorithm
egg-herbie
Counts
78 → 78
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
05642709

prune113.0ms

Filtered
53 candidates to 78 candidates (-47.2%)
Pruning

7 alts after pruning (7 fresh and 0 done)

PrunedKeptTotal
New72678
Fresh011
Picked101
Done000
Total73780

Merged error: 0b

Counts
80 → 7

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (- 1.0 m))
0.0b
(/ m (/ v (- 1.0 m)))
0.2b
(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
141×times-frac
116×add-sqr-sqrt
107×*-un-lft-identity
73×add-cube-cbrt
26×associate-/r*
19×difference-of-squares
17×distribute-lft-out--
12×add-exp-log add-cbrt-cube
11×associate-/r/
7×associate-*l*
6×flip3-- flip-- div-inv associate-/l*
5×pow1
4×cbrt-undiv div-exp
3×associate-*r* add-log-exp
2×frac-2neg associate-*l/ clear-num
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
3 → 163
Calls
3 calls:
5.0ms
(/ v (- 1.0 m))
9.0ms
(/ m (/ v (- 1.0 m)))
28.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

series19.0ms

Counts
3 → 9
Calls
3 calls:
6.0ms
(/ v (- 1.0 m))
5.0ms
(/ m (/ v (- 1.0 m)))
7.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) m)

simplify53.0ms

Algorithm
egg-herbie
Counts
172 → 172
Iterations

Useful iterations: 0 (35.0ms)

IterNodesCost
050342238

prune213.0ms

Filtered
132 candidates to 172 candidates (-30.3%)
Pruning

6 alts after pruning (5 fresh and 1 done)

PrunedKeptTotal
New1711172
Fresh246
Picked011
Done000
Total1736179

Merged error: 0b

Counts
179 → 6

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(* m (- 1.0 m))
0.2b
(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
0.3b
(* (* m (- 1.0 m)) (/ 1 v))

rewrite31.0ms

Algorithm
rewrite-expression-head
Rules
29×add-exp-log
21×associate-*r*
20×add-sqr-sqrt
19×add-cbrt-cube
16×*-un-lft-identity
14×add-cube-cbrt prod-exp
12×pow1
9×times-frac
8×cbrt-unprod
7×associate-*r/ associate-*l*
5×pow-prod-down
4×flip3-- div-exp associate-*l/ flip--
3×*-commutative add-log-exp
2×cbrt-undiv frac-times sub-neg rec-exp 1-exp unswap-sqr
1×distribute-rgt-in distribute-lft-in un-div-inv div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 86
Calls
3 calls:
6.0ms
(* m (- 1.0 m))
12.0ms
(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
10.0ms
(* (* m (- 1.0 m)) (/ 1 v))

series17.0ms

Counts
3 → 9
Calls
3 calls:
4.0ms
(* m (- 1.0 m))
7.0ms
(* (- (* (* m (- 1.0 m)) (/ 1 v)) 1.0) m)
6.0ms
(* (* m (- 1.0 m)) (/ 1 v))

simplify57.0ms

Algorithm
egg-herbie
Counts
95 → 95
Iterations

Useful iterations: 0 (50.0ms)

IterNodesCost
05141864

prune97.0ms

Filtered
58 candidates to 95 candidates (-63.8%)
Pruning

6 alts after pruning (4 fresh and 2 done)

PrunedKeptTotal
New95095
Fresh044
Picked011
Done011
Total956101

Merged error: 0b

Counts
101 → 6

localize9.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (- 1.0 m) (/ m v))
0.2b
(* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m))
0.4b
(* (* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m)) (sqrt m))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
25×associate-*r*
18×*-un-lft-identity
16×add-cube-cbrt
15×add-exp-log add-cbrt-cube
12×pow1
10×times-frac
9×associate-*l*
8×associate-*l/
7×sqrt-prod
6×prod-exp cbrt-unprod
5×pow-prod-down
4×flip3-- flip-- unswap-sqr
3×*-commutative add-log-exp
2×frac-times
1×cbrt-undiv associate-*r/ div-exp div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 85
Calls
3 calls:
9.0ms
(* (- 1.0 m) (/ m v))
12.0ms
(* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m))
14.0ms
(* (* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m)) (sqrt m))

series31.0ms

Counts
3 → 9
Calls
3 calls:
5.0ms
(* (- 1.0 m) (/ m v))
13.0ms
(* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m))
12.0ms
(* (* (- (* (- 1.0 m) (/ m v)) 1.0) (sqrt m)) (sqrt m))

simplify47.0ms

Algorithm
egg-herbie
Counts
94 → 94
Iterations

Useful iterations: 0 (39.0ms)

IterNodesCost
051321148

prune96.0ms

Filtered
68 candidates to 94 candidates (-38.2%)
Pruning

6 alts after pruning (3 fresh and 3 done)

PrunedKeptTotal
New94094
Fresh033
Picked011
Done022
Total946100

Merged error: 0b

Counts
100 → 6

regimes99.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0911
1911

end0.0ms

analyze45.0ms

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

sample536.0ms

Algorithm
intervals
Results
247.0ms8000×body80valid
154.0ms8061×pre80true
2.0ms61×body80invalid

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