Details

Time bar (total: 18.5s)

sample111.0ms

Algorithm
intervals
Results
26.0ms435×body80valid
13.0ms435×pre80true

simplify3.9s

Counts
1 → 1
Iterations
IterNodes
103192
91958
81357
7967
6722
5451
4201
369
235
119
08

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(- m (* m m))
0.0b
(- (/ (- m (* m m)) (/ v m)) m)
0.2b
(/ (- m (* m m)) (/ v m))

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
122×times-frac
83×add-sqr-sqrt
77×*-un-lft-identity
59×add-cube-cbrt
18×difference-of-squares
16×distribute-rgt-out--
13×associate-/r*
8×add-cbrt-cube add-exp-log
7×div-inv add-log-exp
5×associate-/l*
3×pow1 cbrt-undiv flip3-- div-exp insert-posit16 flip--
2×sub-neg diff-log div-sub associate-/r/ associate-/l/
1×associate--l- clear-num frac-2neg distribute-lft-out--
Counts
3 → 136
Calls
3 calls:
4.0ms
(- m (* m m))
52.0ms
(- (/ (- m (* m m)) (/ v m)) m)
36.0ms
(/ (- m (* m m)) (/ v m))

series192.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(- m (* m m))
37.0ms
(- (/ (- m (* m m)) (/ v m)) m)
86.0ms
(/ (- m (* m m)) (/ v m))

simplify998.0ms

Counts
145 → 145
Iterations
IterNodes
22188
1738
0258

prune1.2s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

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

rewrite143.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
24×*-un-lft-identity
18×times-frac
15×add-cube-cbrt
10×associate-*r*
9×difference-of-squares
7×add-cbrt-cube add-exp-log
5×pow1 distribute-rgt-out-- associate-/l* add-log-exp
3×associate-/r* sub-neg flip3-- associate-*l* insert-posit16 flip--
2×distribute-rgt-in distribute-lft-in difference-of-sqr-1 associate-*r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg diff-log div-sub div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv distribute-lft-out-- unswap-sqr
Counts
3 → 86
Calls
3 calls:
9.0ms
(- m (* m m))
22.0ms
(/ (- m (* m m)) v)
110.0ms
(* m (- (/ (- m (* m m)) v) 1))

series132.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(- m (* m m))
42.0ms
(/ (- m (* m m)) v)
43.0ms
(* m (- (/ (- m (* m m)) v) 1))

simplify672.0ms

Counts
95 → 95
Iterations
IterNodes
32248
2786
1333
0146

prune731.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (* m m) (/ v m)) m)
0.0b
(- (/ m (/ v m)) (+ (/ (* m m) (/ v m)) m))
0.2b
(/ m (/ v m))
1.8b
(/ (* m m) (/ v m))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
109×times-frac
69×add-sqr-sqrt *-un-lft-identity
60×add-cube-cbrt
26×associate-/r*
21×add-cbrt-cube add-exp-log
11×add-log-exp
9×cbrt-undiv div-exp div-inv
7×associate-/r/
4×pow1 insert-posit16 associate-/l*
3×distribute-lft-out-- difference-of-squares
2×clear-num sum-log frac-2neg distribute-lft1-in flip3-+ distribute-rgt-out diff-log prod-exp frac-sub cbrt-unprod flip-+ distribute-lft-out
1×+-commutative sub-neg flip3-- distribute-rgt-out-- flip-- associate--r+
Counts
4 → 157
Calls
4 calls:
16.0ms
(+ (/ (* m m) (/ v m)) m)
50.0ms
(- (/ m (/ v m)) (+ (/ (* m m) (/ v m)) m))
6.0ms
(/ m (/ v m))
10.0ms
(/ (* m m) (/ v m))

series121.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(+ (/ (* m m) (/ v m)) m)
43.0ms
(- (/ m (/ v m)) (+ (/ (* m m) (/ v m)) m))
26.0ms
(/ m (/ v m))
25.0ms
(/ (* m m) (/ v m))

simplify730.0ms

Counts
169 → 169
Iterations
IterNodes
22288
1651
0243

prune1.5s

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize31.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (* m m) (/ v m)) m)
0.0b
(- (/ (/ m v) (/ 1 m)) (+ (/ (* m m) (/ v m)) m))
0.2b
(/ (/ m v) (/ 1 m))
1.8b
(/ (* m m) (/ v m))

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
465×times-frac
239×add-sqr-sqrt
224×*-un-lft-identity
214×add-cube-cbrt
38×add-exp-log
32×div-inv
28×add-cbrt-cube
26×associate-/r*
22×div-exp
14×cbrt-undiv associate-/l*
11×add-log-exp
7×difference-of-squares
6×associate-/r/
4×pow1 insert-posit16
2×rec-exp clear-num sum-log frac-2neg distribute-lft1-in flip3-+ diff-log 1-exp prod-exp frac-sub cbrt-unprod flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative sub-neg distribute-rgt-out flip3-- distribute-rgt-out-- flip-- associate--r+ associate-/l/
Counts
4 → 309
Calls
4 calls:
26.0ms
(+ (/ (* m m) (/ v m)) m)
100.0ms
(- (/ (/ m v) (/ 1 m)) (+ (/ (* m m) (/ v m)) m))
18.0ms
(/ (/ m v) (/ 1 m))
29.0ms
(/ (* m m) (/ v m))

series121.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(+ (/ (* m m) (/ v m)) m)
36.0ms
(- (/ (/ m v) (/ 1 m)) (+ (/ (* m m) (/ v m)) m))
29.0ms
(/ (/ m v) (/ 1 m))
24.0ms
(/ (* m m) (/ v m))

simplify2.3s

Counts
321 → 321
Iterations
IterNodes
24885
11735
0550

prune2.9s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes73.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
211
111
08

end0.0ms

sample2.2s

Algorithm
intervals
Results
1.3s13624×body80valid
573.0ms13624×pre80true