Details

Time bar (total: 16.4s)

sample113.0ms

Algorithm
intervals
Results
17.0ms448×body80valid
9.0ms448×pre80true

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0811
11611
23411
37211
418911
547511
6165011
done500011

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.2b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite207.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×*-un-lft-identity
21×add-cube-cbrt
18×prod-diff
12×add-exp-log add-cbrt-cube
11×distribute-rgt-in distribute-lft-in
8×associate-*r* associate-*l*
7×pow1
4×associate-*r/
3×expm1-log1p-u flip3-- times-frac prod-exp associate-/r* flip-- cbrt-unprod log1p-expm1-u 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×frac-2neg clear-num div-inv associate-/l*
Counts
3 → 95
Calls
3 calls:
43.0ms
(* m (- 1.0 m))
27.0ms
(/ (* m (- 1.0 m)) v)
127.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

series229.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(* m (- 1.0 m))
55.0ms
(/ (* m (- 1.0 m)) v)
88.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) m)

simplify1.8s

Counts
104 → 104
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01771426
14541229
222591046
done50001021

prune342.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 4 expressions with local error:

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

rewrite384.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
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 distribute-rgt-in expm1-log1p-u distribute-lft-in div-exp log1p-expm1-u add-log-exp
3×flip3-- pow-prod-down *-commutative flip-- unswap-sqr
2×sub-neg flip3-+ prod-diff associate-*l/ associate-/r/ flip-+ associate-/l/ difference-of-squares
1×frac-2neg times-frac clear-num associate-/r* div-inv distribute-lft-out associate-/l* distribute-lft-out--
Counts
4 → 105
Calls
4 calls:
42.0ms
(* v (+ 1.0 m))
59.0ms
(* m (- (* 1.0 1.0) (* m m)))
36.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
242.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

series378.0ms

Counts
4 → 12
Calls
4 calls:
56.0ms
(* v (+ 1.0 m))
109.0ms
(* m (- (* 1.0 1.0) (* m m)))
98.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
115.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) m)

simplify2.5s

Counts
117 → 117
Iterations

Useful iterations: 2 (750.0ms)

IterNodesCost
01791892
15831814
240051543
done50001543

prune476.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- 1.0 m) v)
0.1b
(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
0.3b
(* m (/ (- 1.0 m) v))

rewrite150.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
39×*-un-lft-identity
31×times-frac
25×add-cube-cbrt
22×associate-*r*
12×add-exp-log add-cbrt-cube
7×pow1 distribute-lft-out-- difference-of-squares
6×associate-*l*
5×associate-/l*
3×expm1-log1p-u prod-exp associate-/r* cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
2×cbrt-undiv flip3-- div-exp pow-prod-down associate-*l/ *-commutative flip-- div-inv associate-/l/
1×frac-2neg div-sub associate-*r/ clear-num
Counts
3 → 102
Calls
3 calls:
32.0ms
(/ (- 1.0 m) v)
66.0ms
(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
44.0ms
(* m (/ (- 1.0 m) v))

series166.0ms

Counts
3 → 9
Calls
3 calls:
44.0ms
(/ (- 1.0 m) v)
68.0ms
(* (- (* m (/ (- 1.0 m) v)) 1.0) m)
54.0ms
(* m (/ (- 1.0 m) v))

simplify1.6s

Counts
111 → 111
Iterations

Useful iterations: 2 (415.0ms)

IterNodesCost
01551254
14071193
218301085
done50011085

prune374.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 m) v)
0.2b
(* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m))
0.3b
(* m (/ (- 1.0 m) v))
0.4b
(* (* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m)) (sqrt m))

rewrite272.0ms

Algorithm
rewrite-expression-head
Rules
52×add-sqr-sqrt
43×*-un-lft-identity
31×times-frac associate-*r*
29×add-cube-cbrt
18×add-exp-log add-cbrt-cube
13×pow1
7×associate-*l* sqrt-prod distribute-lft-out-- difference-of-squares
6×associate-*l/ prod-exp cbrt-unprod
5×pow-prod-down associate-/l*
4×expm1-log1p-u log1p-expm1-u add-log-exp unswap-sqr
3×flip3-- associate-/r* *-commutative flip--
2×cbrt-undiv div-exp div-inv associate-/l/
1×frac-2neg div-sub associate-*r/ clear-num
Counts
4 → 131
Calls
4 calls:
25.0ms
(/ (- 1.0 m) v)
72.0ms
(* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m))
28.0ms
(* m (/ (- 1.0 m) v))
141.0ms
(* (* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m)) (sqrt m))

series323.0ms

Counts
4 → 12
Calls
4 calls:
64.0ms
(/ (- 1.0 m) v)
112.0ms
(* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m))
72.0ms
(* m (/ (- 1.0 m) v))
74.0ms
(* (* (- (* m (/ (- 1.0 m) v)) 1.0) (sqrt m)) (sqrt m))

simplify1.9s

Counts
143 → 143
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02011909
15421726
225131564
done50021532

prune435.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0.0b

regimes70.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01219
11619
done1619

end0.0ms

sample2.1s

Algorithm
intervals
Results
941.0ms13697×pre80true
676.0ms13697×body80valid