Details

Time bar (total: 19.4s)

sample200.0ms

Algorithm
intervals
Results
27.0ms412×body80valid
12.0ms412×pre80true

simplify3.9s

Counts
1 → 1
Iterations
IterNodes
done5001
74477
61331
5417
4171
367
234
116
08

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize33.0ms

Local error

Found 4 expressions with local error:

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

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
16×*-un-lft-identity
13×add-cbrt-cube add-exp-log
10×add-cube-cbrt
8×pow1 associate-*r* associate-*l*
6×add-log-exp
4×flip3-- associate-*r/ flip--
3×associate-/r* sub-neg times-frac prod-exp cbrt-unprod distribute-lft-out-- difference-of-squares
2×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative unswap-sqr associate-/l/
1×clear-num frac-2neg diff-log div-inv associate-/l*
Counts
4 → 85
Calls
4 calls:
30.0ms
(- (/ (* m (- 1.0 m)) v) 1.0)
30.0ms
(* m (- 1.0 m))
12.0ms
(/ (* m (- 1.0 m)) v)
71.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series240.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (/ (* m (- 1.0 m)) v) 1.0)
86.0ms
(* m (- 1.0 m))
46.0ms
(/ (* m (- 1.0 m)) v)
67.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.4s

Counts
97 → 97
Iterations
IterNodes
done5000
21746
1361
0138

prune481.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

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

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
22×add-cbrt-cube add-exp-log
18×add-sqr-sqrt
14×*-un-lft-identity
11×associate-*r* associate-*l*
10×pow1 add-cube-cbrt
8×associate-*r/
7×prod-exp cbrt-unprod
4×cbrt-undiv div-exp add-log-exp
3×distribute-rgt-in distribute-lft-in flip3-- pow-prod-down *-commutative flip-- unswap-sqr
2×sub-neg flip3-+ associate-*l/ associate-/r/ flip-+ difference-of-squares associate-/l/
1×clear-num associate-/r* frac-2neg times-frac div-inv distribute-lft-out associate-/l* distribute-lft-out--
Counts
4 → 95
Calls
4 calls:
20.0ms
(* v (+ 1.0 m))
26.0ms
(* m (- (* 1.0 1.0) (* m m)))
33.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
155.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

series352.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* v (+ 1.0 m))
113.0ms
(* m (- (* 1.0 1.0) (* m m)))
109.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
74.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

simplify2.4s

Counts
107 → 107
Iterations
IterNodes
done5000
23689
1547
0164

prune641.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(* m (- 1.0 m))
0.0b
(/ v (* m (- 1.0 m)))
0.1b
(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
0.2b
(/ 1 (/ v (* m (- 1.0 m))))

rewrite321.0ms

Algorithm
rewrite-expression-head
Rules
44×times-frac
41×add-sqr-sqrt
34×*-un-lft-identity add-exp-log
28×add-cube-cbrt
22×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-*l* associate-/r/
10×associate-/r*
9×pow1
8×associate-*r*
7×cbrt-undiv flip3-- div-inv flip--
6×prod-exp associate-/l*
4×cbrt-unprod add-log-exp difference-of-squares
3×rec-exp 1-exp distribute-lft-out--
2×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in pow-prod-down associate-*l/ *-commutative unswap-sqr
1×pow-flip inv-pow
Counts
4 → 138
Calls
4 calls:
31.0ms
(* m (- 1.0 m))
9.0ms
(/ v (* m (- 1.0 m)))
237.0ms
(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
36.0ms
(/ 1 (/ v (* m (- 1.0 m))))

series249.0ms

Counts
4 → 12
Calls
4 calls:
57.0ms
(* m (- 1.0 m))
57.0ms
(/ v (* m (- 1.0 m)))
58.0ms
(* (- (/ 1 (/ v (* m (- 1.0 m)))) 1.0) m)
77.0ms
(/ 1 (/ v (* m (- 1.0 m))))

simplify1.9s

Counts
150 → 150
Iterations
IterNodes
done5000
22876
1575
0228

prune716.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

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

rewrite389.0ms

Algorithm
rewrite-expression-head
Rules
47×times-frac
46×*-un-lft-identity
37×add-sqr-sqrt
28×add-cube-cbrt
22×add-cbrt-cube add-exp-log
9×associate-*l*
8×pow1 distribute-lft-out associate-/l*
7×cbrt-undiv associate-/r* div-exp associate-*r* div-inv
4×prod-exp associate-*r/ cbrt-unprod add-log-exp
3×flip3-- flip-- difference-of-squares associate-/l/
2×distribute-rgt-in clear-num sub-neg frac-2neg distribute-lft-in pow-prod-down associate-*l/ associate-/r/ *-commutative unswap-sqr
1×flip3-+ flip-+ distribute-lft-out--
Counts
4 → 129
Calls
4 calls:
26.0ms
(* m (- (* 1.0 1.0) (* m m)))
21.0ms
(/ (/ (* m (- (* 1.0 1.0) (* m m))) v) (+ 1.0 m))
20.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) v)
319.0ms
(* (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) v) (+ 1.0 m)) 1.0) m)

series369.0ms

Counts
4 → 12
Calls
4 calls:
108.0ms
(* m (- (* 1.0 1.0) (* m m)))
109.0ms
(/ (/ (* m (- (* 1.0 1.0) (* m m))) v) (+ 1.0 m))
66.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) v)
86.0ms
(* (- (/ (/ (* m (- (* 1.0 1.0) (* m m))) v) (+ 1.0 m)) 1.0) m)

simplify2.5s

Counts
141 → 141
Iterations
IterNodes
done5001
23657
1625
0214

prune729.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes110.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations
IterNodes
done15
115
012

end0.0ms

sample2.0s

Algorithm
intervals
Results
813.0ms13758×pre80true
802.0ms13758×body80valid