Details

Time bar (total: 13.6s)

sample309.0ms

Algorithm
intervals
Results
129.0ms433×body80valid
11.0ms433×pre80true

simplify637.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
51353
4359
3105
240
116
08

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×*-un-lft-identity
12×add-cbrt-cube add-exp-log
10×associate-*r*
9×add-cube-cbrt
8×flip3-- associate-*l* flip--
7×pow1
6×associate-*r/
4×distribute-rgt-in frac-times sub-neg distribute-lft-in
3×associate-/r* times-frac prod-exp cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative unswap-sqr associate-/l/
1×clear-num frac-2neg div-inv associate-/l*
Counts
3 → 83
Calls
3 calls:
26.0ms
(* m (- 1.0 m))
14.0ms
(/ (* m (- 1.0 m)) v)
95.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series244.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(* m (- 1.0 m))
76.0ms
(/ (* m (- 1.0 m)) v)
81.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.2s

Counts
92 → 92
Iterations
IterNodes
done5001
22208
1419
0147

prune425.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* (/ m v) 1.0) (/ (* m m) v))
0.0b
(* (- (- (* (/ m v) 1.0) (/ (* m m) v)) 1.0) (- 1.0 m))
14.1b
(/ (* m m) v)

rewrite319.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-cbrt-cube add-exp-log
7×flip3-- add-cube-cbrt flip--
5×pow1 associate-*r* associate-*l* add-log-exp
4×frac-times associate-*l/
3×associate-/r* sub-neg times-frac
2×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp prod-exp associate-*r/ cbrt-unprod distribute-lft-out-- difference-of-squares
1×clear-num frac-2neg diff-log pow-prod-down *-commutative frac-sub div-inv associate-/l* sub-div unswap-sqr
Counts
3 → 69
Calls
3 calls:
10.0ms
(- (* (/ m v) 1.0) (/ (* m m) v))
292.0ms
(* (- (- (* (/ m v) 1.0) (/ (* m m) v)) 1.0) (- 1.0 m))
15.0ms
(/ (* m m) v)

series128.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(- (* (/ m v) 1.0) (/ (* m m) v))
42.0ms
(* (- (- (* (/ m v) 1.0) (/ (* m m) v)) 1.0) (- 1.0 m))
33.0ms
(/ (* m m) v)

simplify1.4s

Counts
78 → 78
Iterations
IterNodes
done5000
22958
1452
0150

prune440.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 (/ m v)) (+ 1.0 (/ (* m m) v)))
0.1b
(* (* (+ (sqrt m) (sqrt 1.0)) (- (* 1.0 (/ m v)) (+ 1.0 (/ (* m m) v)))) (- (sqrt 1.0) (sqrt m)))
0.1b
(* (+ (sqrt m) (sqrt 1.0)) (- (* 1.0 (/ m v)) (+ 1.0 (/ (* m m) v))))
14.1b
(/ (* m m) v)

rewrite396.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-times
44×associate-*r/
33×flip3-+ flip-+
28×flip3-- flip--
26×frac-sub
22×associate-*l/
19×add-sqr-sqrt
17×*-un-lft-identity
16×add-cbrt-cube add-exp-log
12×associate-*r*
11×pow1
9×add-cube-cbrt add-log-exp
8×sqrt-prod
6×associate-*l*
5×sub-neg prod-exp cbrt-unprod
4×distribute-rgt-in distribute-lft-in pow-prod-down difference-of-squares
3×associate-/r* times-frac
2×cbrt-undiv diff-log div-exp *-commutative distribute-lft-out distribute-lft-out--
1×clear-num sum-log frac-2neg div-inv associate-/l* associate--r+ unswap-sqr
Counts
4 → 147
Calls
4 calls:
19.0ms
(- (* 1.0 (/ m v)) (+ 1.0 (/ (* m m) v)))
211.0ms
(* (* (+ (sqrt m) (sqrt 1.0)) (- (* 1.0 (/ m v)) (+ 1.0 (/ (* m m) v)))) (- (sqrt 1.0) (sqrt m)))
144.0ms
(* (+ (sqrt m) (sqrt 1.0)) (- (* 1.0 (/ m v)) (+ 1.0 (/ (* m m) v))))
15.0ms
(/ (* m m) v)

series418.0ms

Counts
4 → 12
Calls
4 calls:
29.0ms
(- (* 1.0 (/ m v)) (+ 1.0 (/ (* m m) v)))
176.0ms
(* (* (+ (sqrt m) (sqrt 1.0)) (- (* 1.0 (/ m v)) (+ 1.0 (/ (* m m) v)))) (- (sqrt 1.0) (sqrt m)))
181.0ms
(* (+ (sqrt m) (sqrt 1.0)) (- (* 1.0 (/ m v)) (+ 1.0 (/ (* m m) v))))
30.0ms
(/ (* m m) v)

simplify624.0ms

Counts
159 → 159
Iterations
IterNodes
done5000
11127
0298

prune1.3s

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize41.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (+ (sqrt m) (sqrt 1.0)) (- (* 1.0 (/ m v)) (+ 1.0 (/ 1 (/ v (* m m)))))) (- (sqrt 1.0) (sqrt m)))
0.1b
(* (+ (sqrt m) (sqrt 1.0)) (- (* 1.0 (/ m v)) (+ 1.0 (/ 1 (/ v (* m m))))))
1.3b
(/ 1 (/ v (* m m)))
13.0b
(/ v (* m m))

rewrite709.0ms

Algorithm
rewrite-expression-head
Rules
60×frac-times
42×associate-*r/
37×add-exp-log
36×times-frac
35×add-sqr-sqrt
33×*-un-lft-identity
32×flip3-+ flip-+
27×flip3-- flip--
25×add-cbrt-cube add-cube-cbrt
24×frac-sub
22×associate-*l/
14×div-exp
12×pow1 associate-*r*
8×associate-/r* prod-exp sqrt-prod
7×cbrt-undiv
6×associate-*l* cbrt-unprod div-inv associate-/l*
4×distribute-rgt-in sub-neg distribute-lft-in pow-prod-down add-log-exp difference-of-squares
3×rec-exp 1-exp
2×clear-num frac-2neg *-commutative distribute-lft-out distribute-lft-out--
1×associate-/r/ pow-flip inv-pow unswap-sqr
Counts
4 → 187
Calls
4 calls:
338.0ms
(* (* (+ (sqrt m) (sqrt 1.0)) (- (* 1.0 (/ m v)) (+ 1.0 (/ 1 (/ v (* m m)))))) (- (sqrt 1.0) (sqrt m)))
322.0ms
(* (+ (sqrt m) (sqrt 1.0)) (- (* 1.0 (/ m v)) (+ 1.0 (/ 1 (/ v (* m m))))))
27.0ms
(/ 1 (/ v (* m m)))
6.0ms
(/ v (* m m))

series517.0ms

Counts
4 → 12
Calls
4 calls:
203.0ms
(* (* (+ (sqrt m) (sqrt 1.0)) (- (* 1.0 (/ m v)) (+ 1.0 (/ 1 (/ v (* m m)))))) (- (sqrt 1.0) (sqrt m)))
227.0ms
(* (+ (sqrt m) (sqrt 1.0)) (- (* 1.0 (/ m v)) (+ 1.0 (/ 1 (/ v (* m m))))))
45.0ms
(/ 1 (/ v (* m m)))
42.0ms
(/ v (* m m))

simplify604.0ms

Counts
199 → 199
Iterations
IterNodes
done5001
11265
0355

prune1.3s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes125.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done13
113
011

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.2s13647×body80valid
384.0ms13647×pre80true