Details

Time bar (total: 3.2s)

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

sample24.0ms

Algorithm
intervals
Results
8.0ms256×body80valid
5.0ms259×pre80true
0.0ms3×body80invalid

simplify418.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
04313
14313

prune27.0ms

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: 0.0b

Counts
2 → 2

localize9.0ms

Local error

Found 4 expressions with local error:

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

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
22×add-sqr-sqrt
18×*-un-lft-identity
13×add-exp-log add-cbrt-cube
10×add-cube-cbrt associate-*r*
9×flip3-- flip--
8×pow1 associate-*l*
6×associate-*r/ add-log-exp
5×sub-neg
4×frac-times distribute-lft-out-- difference-of-squares
3×times-frac prod-exp associate-/r* cbrt-unprod
2×cbrt-undiv distribute-rgt-in distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative associate-/l/ unswap-sqr
1×frac-2neg diff-log clear-num div-inv associate-/l*
Counts
4 → 92
Calls
4 calls:
7.0ms
(* m (- 1.0 m))
8.0ms
(- (/ (* m (- 1.0 m)) v) 1.0)
14.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
10.0ms
(/ (* m (- 1.0 m)) v)

series32.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* m (- 1.0 m))
5.0ms
(- (/ (* m (- 1.0 m)) v) 1.0)
8.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))
14.0ms
(/ (* m (- 1.0 m)) v)

simplify49.0ms

Algorithm
egg-herbie
Counts
104 → 104
Iterations

Useful iterations: 0 (34.0ms)

IterNodesCost
051651273

prune138.0ms

Filtered
76 candidates to 104 candidates (-36.8%)
Pruning

4 alts after pruning (3 fresh and 1 done)

PrunedKeptTotal
New1013104
Fresh101
Picked011
Done000
Total1024106

Merged error: 0b

Counts
106 → 4

localize7.0ms

Local error

Found 4 expressions with local error:

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

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
144×times-frac
128×add-sqr-sqrt
112×*-un-lft-identity
74×add-cube-cbrt
26×associate-/r*
23×difference-of-squares
19×distribute-lft-out--
13×add-exp-log add-cbrt-cube
12×flip3-- flip--
11×associate-/r/
7×associate-*l*
6×pow1 div-inv associate-/l* add-log-exp
5×associate-*r*
4×cbrt-undiv frac-times div-exp
3×sub-neg
2×frac-2neg associate-*r/ associate-*l/ clear-num
1×distribute-rgt-in distribute-lft-in diff-log pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 188
Calls
4 calls:
5.0ms
(/ v (- 1.0 m))
26.0ms
(- (/ m (/ v (- 1.0 m))) 1.0)
34.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
9.0ms
(/ m (/ v (- 1.0 m)))

series25.0ms

Counts
4 → 12
Calls
4 calls:
7.0ms
(/ v (- 1.0 m))
5.0ms
(- (/ m (/ v (- 1.0 m))) 1.0)
7.0ms
(* (- (/ m (/ v (- 1.0 m))) 1.0) (- 1.0 m))
6.0ms
(/ m (/ v (- 1.0 m)))

simplify66.0ms

Algorithm
egg-herbie
Counts
200 → 200
Iterations

Useful iterations: 0 (48.0ms)

IterNodesCost
049782844
149782844

prune248.0ms

Filtered
155 candidates to 200 candidates (-29.0%)
Pruning

4 alts after pruning (2 fresh and 2 done)

PrunedKeptTotal
New2000200
Fresh022
Picked011
Done011
Total2004204

Merged error: 0b

Counts
204 → 4

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
34×frac-times
32×add-sqr-sqrt
27×associate-*r*
25×*-un-lft-identity
24×flip3-- flip--
18×associate-*l/
16×add-exp-log add-cbrt-cube
15×add-cube-cbrt
13×pow1
12×flip3-+ flip-+
11×associate-*r/
10×times-frac
9×associate-*l*
8×sqrt-prod
6×prod-exp cbrt-unprod add-log-exp
5×pow-prod-down difference-of-squares
3×sub-neg *-commutative distribute-lft-out-- unswap-sqr
2×distribute-rgt-in distribute-lft-in distribute-lft-out
1×cbrt-undiv diff-log div-exp div-inv
Counts
4 → 131
Calls
4 calls:
7.0ms
(- (* (- 1.0 m) (/ m v)) 1.0)
22.0ms
(* (* (- (* (- 1.0 m) (/ m v)) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
9.0ms
(* (- 1.0 m) (/ m v))
15.0ms
(* (- (* (- 1.0 m) (/ m v)) 1.0) (+ (sqrt 1.0) (sqrt m)))

series46.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(- (* (- 1.0 m) (/ m v)) 1.0)
15.0ms
(* (* (- (* (- 1.0 m) (/ m v)) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
6.0ms
(* (- 1.0 m) (/ m v))
20.0ms
(* (- (* (- 1.0 m) (/ m v)) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify71.0ms

Algorithm
egg-herbie
Counts
143 → 143
Iterations

Useful iterations: 0 (55.0ms)

IterNodesCost
049932777
149932777

prune231.0ms

Filtered
106 candidates to 143 candidates (-34.9%)
Pruning

4 alts after pruning (1 fresh and 3 done)

PrunedKeptTotal
New1430143
Fresh011
Picked011
Done022
Total1434147

Merged error: 0b

Counts
147 → 4

localize14.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (- 1.0 m) (/ m v))
0.1b
(* (- 1.0 m) (/ m v))
0.4b
(* (* (- 1.0 m) (/ m v)) (* (- 1.0 m) (/ m v)))
11.2b
(/ (* (- 1.0 m) (* (+ m 1.0) (- (* (* (- 1.0 m) (/ m v)) (* (- 1.0 m) (/ m v))) (* 1.0 1.0)))) (* (+ m 1.0) (+ 1.0 (* (- 1.0 m) (/ m v)))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
85×frac-times
71×add-exp-log add-cbrt-cube
47×pow1
46×flip3-- flip--
43×associate-*l/
35×associate-*r/
34×add-sqr-sqrt prod-exp cbrt-unprod
27×associate-*r*
26×associate-/l/
24×*-un-lft-identity
21×times-frac
20×add-cube-cbrt
19×pow-prod-down
15×flip3-+ flip-+
14×cbrt-undiv div-exp
11×associate-*l*
8×associate-/r/
4×pow-sqr pow-prod-up add-log-exp unswap-sqr
3×*-commutative div-inv
2×pow-plus distribute-lft-out-- difference-of-squares
1×pow2 frac-2neg swap-sqr clear-num associate-/r* associate-/l*
Counts
4 → 214
Calls
4 calls:
9.0ms
(* (- 1.0 m) (/ m v))
9.0ms
(* (- 1.0 m) (/ m v))
17.0ms
(* (* (- 1.0 m) (/ m v)) (* (- 1.0 m) (/ m v)))
37.0ms
(/ (* (- 1.0 m) (* (+ m 1.0) (- (* (* (- 1.0 m) (/ m v)) (* (- 1.0 m) (/ m v))) (* 1.0 1.0)))) (* (+ m 1.0) (+ 1.0 (* (- 1.0 m) (/ m v)))))

series47.0ms

Counts
4 → 12
Calls
4 calls:
5.0ms
(* (- 1.0 m) (/ m v))
5.0ms
(* (- 1.0 m) (/ m v))
9.0ms
(* (* (- 1.0 m) (/ m v)) (* (- 1.0 m) (/ m v)))
26.0ms
(/ (* (- 1.0 m) (* (+ m 1.0) (- (* (* (- 1.0 m) (/ m v)) (* (- 1.0 m) (/ m v))) (* 1.0 1.0)))) (* (+ m 1.0) (+ 1.0 (* (- 1.0 m) (/ m v)))))

simplify40.0ms

Algorithm
egg-herbie
Counts
226 → 226
Iterations

Useful iterations: 0 (17.0ms)

IterNodesCost
050744687

prune432.0ms

Filtered
147 candidates to 226 candidates (-53.7%)
Pruning

4 alts after pruning (0 fresh and 4 done)

PrunedKeptTotal
New2260226
Fresh000
Picked011
Done033
Total2264230

Merged error: 0b

Counts
230 → 4

regimes121.0ms

Accuracy

0% (0.0b 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

sample552.0ms

Algorithm
intervals
Results
262.0ms8000×body80valid
153.0ms8055×pre80true
2.0ms55×body80invalid

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