Details

Time bar (total: 17.5s)

sample141.0ms

Algorithm
intervals
Results
18.0ms459×body80valid
11.0ms459×pre80true

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5003
51806
4455
3122
241
119
08

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(* m (- 1 m))
0.0b
(/ (* m (- 1 m)) v)
0.0b
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

rewrite226.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
18×*-un-lft-identity
12×add-cbrt-cube associate-*r* add-exp-log
10×associate-*l*
9×add-cube-cbrt
8×flip3-- flip--
7×pow1
6×associate-*r/ difference-of-squares
4×distribute-rgt-in frac-times sub-neg distribute-lft-in
3×associate-/r* times-frac prod-exp cbrt-unprod insert-posit16 distribute-lft-out-- add-log-exp
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative unswap-sqr associate-/l/
1×clear-num frac-2neg difference-of-sqr-1 div-inv associate-/l*
Counts
3 → 90
Calls
3 calls:
36.0ms
(* m (- 1 m))
33.0ms
(/ (* m (- 1 m)) v)
153.0ms
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

series131.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(* m (- 1 m))
39.0ms
(/ (* m (- 1 m)) v)
39.0ms
(* (- (/ (* m (- 1 m)) v) 1) (- 1 m))

simplify1.6s

Counts
99 → 99
Iterations
IterNodes
done5002
21733
1424
0150

prune408.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.0b
(* m (- (pow 1 3) (pow m 3)))
0.0b
(* (- (/ (* m (- (pow 1 3) (pow m 3))) (+ v (* v (+ (* m m) m)))) 1) (- 1 m))
0.0b
(* v (+ (* m m) m))
0.3b
(/ (* m (- (pow 1 3) (pow m 3))) (+ v (* v (+ (* m m) m))))

rewrite457.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
45×associate-*r*
38×*-un-lft-identity
28×difference-of-squares
18×unpow-prod-down cube-prod
15×add-cbrt-cube add-exp-log
13×associate-*l*
12×add-cube-cbrt
10×pow1 sqr-pow
8×flip3-- associate-*r/ flip-- distribute-lft-out--
5×distribute-rgt-in distribute-lft-in
4×frac-times sub-neg prod-exp cbrt-unprod insert-posit16 add-log-exp
3×associate-/r* times-frac pow-prod-down *-commutative unswap-sqr
2×cbrt-undiv flip3-+ div-exp associate-*l/ associate-/r/ flip-+ associate-/l/
1×cube-mult difference-cubes clear-num frac-2neg distribute-lft1-in distribute-rgt-out difference-of-sqr-1 div-inv associate-/l*
Counts
4 → 145
Calls
4 calls:
103.0ms
(* m (- (pow 1 3) (pow m 3)))
258.0ms
(* (- (/ (* m (- (pow 1 3) (pow m 3))) (+ v (* v (+ (* m m) m)))) 1) (- 1 m))
39.0ms
(* v (+ (* m m) m))
50.0ms
(/ (* m (- (pow 1 3) (pow m 3))) (+ v (* v (+ (* m m) m))))

series407.0ms

Counts
4 → 12
Calls
4 calls:
172.0ms
(* m (- (pow 1 3) (pow m 3)))
74.0ms
(* (- (/ (* m (- (pow 1 3) (pow m 3))) (+ v (* v (+ (* m m) m)))) 1) (- 1 m))
66.0ms
(* v (+ (* m m) m))
95.0ms
(/ (* m (- (pow 1 3) (pow m 3))) (+ v (* v (+ (* m m) m))))

simplify3.0s

Counts
157 → 157
Iterations
IterNodes
done5020
23868
1810
0251

prune746.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize58.0ms

Local error

Found 4 expressions with local error:

0.1b
(/ (+ (* v (+ m (* m m))) v) (- 1 (* m (* m m))))
0.1b
(* m (* m m))
0.1b
(* m (* m m))
2.6b
(/ (* (- (/ m (/ (+ (* v (+ m (* m m))) v) (- 1 (* m (* m m))))) 1) (- 1 (* m (* m m)))) (+ (* 1 1) (+ (* m m) (* 1 m))))

rewrite501.0ms

Algorithm
rewrite-expression-head
Rules
32×pow1
21×add-cbrt-cube add-exp-log
18×add-sqr-sqrt *-un-lft-identity
16×add-cube-cbrt
13×times-frac
10×pow-prod-up associate-/l/
7×associate-/r* flip3-- prod-exp cbrt-unprod flip--
6×associate-*l* pow-prod-down
4×frac-times associate-/r/ insert-posit16 associate-/l* add-log-exp
3×cbrt-undiv div-exp
2×pow2 clear-num frac-2neg flip3-+ pow-plus cube-unmult associate-*r* associate-*l/ associate-*r/ pow-sqr *-commutative flip-+ div-inv distribute-lft-out unswap-sqr
Counts
4 → 116
Calls
4 calls:
37.0ms
(/ (+ (* v (+ m (* m m))) v) (- 1 (* m (* m m))))
16.0ms
(* m (* m m))
17.0ms
(* m (* m m))
427.0ms
(/ (* (- (/ m (/ (+ (* v (+ m (* m m))) v) (- 1 (* m (* m m))))) 1) (- 1 (* m (* m m)))) (+ (* 1 1) (+ (* m m) (* 1 m))))

series315.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(/ (+ (* v (+ m (* m m))) v) (- 1 (* m (* m m))))
44.0ms
(* m (* m m))
61.0ms
(* m (* m m))
121.0ms
(/ (* (- (/ m (/ (+ (* v (+ m (* m m))) v) (- 1 (* m (* m m))))) 1) (- 1 (* m (* m m)))) (+ (* 1 1) (+ (* m m) (* 1 m))))

simplify2.7s

Counts
128 → 128
Iterations
IterNodes
done5000
23022
1625
0200

prune714.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.1b
(* m (* m m))
0.8b
(/ 2 (/ v (* m m)))
7.7b
(/ (* m (* m m)) v)
12.7b
(/ v (* m m))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
32×add-cbrt-cube add-exp-log
26×add-sqr-sqrt
25×*-un-lft-identity add-cube-cbrt
18×pow1
11×associate-/r*
10×cbrt-undiv div-exp
8×prod-exp cbrt-unprod
7×div-inv associate-/l*
5×pow-prod-up
4×insert-posit16 add-log-exp
3×clear-num frac-2neg associate-*l* pow-prod-down
1×pow2 pow-plus cube-unmult associate-*r* associate-/r/ pow-sqr *-commutative unswap-sqr
Counts
4 → 120
Calls
4 calls:
34.0ms
(* m (* m m))
26.0ms
(/ 2 (/ v (* m m)))
21.0ms
(/ (* m (* m m)) v)
8.0ms
(/ v (* m m))

series147.0ms

Counts
4 → 12
Calls
4 calls:
39.0ms
(* m (* m m))
36.0ms
(/ 2 (/ v (* m m)))
25.0ms
(/ (* m (* m m)) v)
45.0ms
(/ v (* m m))

simplify1.5s

Counts
132 → 132
Iterations
IterNodes
done5002
21515
1426
0166

prune421.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes164.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done12
112
08

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.3s13662×body80valid
423.0ms13662×pre80true