Details

Time bar (total: 15.8s)

sample114.0ms

Algorithm
intervals
Results
16.0ms443×body80valid
8.0ms443×pre80true

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0813
11613
24013
310513
436013
5133813
done500013

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

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) (- 1.0 m))

rewrite211.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
15×*-un-lft-identity
12×add-exp-log add-cbrt-cube
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×times-frac prod-exp associate-/r* cbrt-unprod distribute-lft-out-- add-log-exp difference-of-squares
2×cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative associate-/l/ unswap-sqr
1×frac-2neg clear-num div-inv associate-/l*
Counts
3 → 83
Calls
3 calls:
45.0ms
(* m (- 1.0 m))
33.0ms
(/ (* m (- 1.0 m)) v)
125.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series211.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(* m (- 1.0 m))
58.0ms
(/ (* m (- 1.0 m)) v)
71.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

simplify1.5s

Counts
92 → 92
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01471290
14191245
222101151
done50001143

prune282.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize30.0ms

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

rewrite338.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log add-cbrt-cube
20×add-sqr-sqrt
16×*-un-lft-identity
13×associate-*r*
11×associate-*l*
10×pow1 add-cube-cbrt associate-*r/
8×flip3-- flip--
7×prod-exp cbrt-unprod
5×distribute-rgt-in distribute-lft-in
4×cbrt-undiv frac-times sub-neg div-exp add-log-exp
3×pow-prod-down *-commutative difference-of-squares unswap-sqr
2×flip3-+ associate-*l/ associate-/r/ flip-+ associate-/l/ distribute-lft-out--
1×frac-2neg times-frac clear-num associate-/r* div-inv distribute-lft-out associate-/l*
Counts
4 → 107
Calls
4 calls:
31.0ms
(* v (+ 1.0 m))
40.0ms
(* m (- (* 1.0 1.0) (* m m)))
208.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
51.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

series329.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(* v (+ 1.0 m))
101.0ms
(* m (- (* 1.0 1.0) (* m m)))
77.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (- 1.0 m))
101.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))

simplify2.4s

Counts
119 → 119
Iterations

Useful iterations: done (2.4s)

IterNodesCost
01952366
16412285
242552013
done50012007

prune415.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(* v (+ (pow 1.0 3) (pow m 3)))
0.1b
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (/ (* v (+ (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* m m) (* 1.0 m))))) 1.0) (- 1.0 m))
0.1b
(/ (* v (+ (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* m m) (* 1.0 m))))
0.1b
(/ (* m (- (* 1.0 1.0) (* m m))) (/ (* v (+ (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* m m) (* 1.0 m)))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
34×add-exp-log add-cbrt-cube
28×*-un-lft-identity
22×add-sqr-sqrt
18×times-frac
14×add-cube-cbrt associate-*r*
12×cbrt-undiv div-exp associate-/r*
8×pow1 associate-*r/ associate-*l* prod-exp cbrt-unprod
7×flip3-- associate-/r/ flip--
5×flip3-+ flip-+ distribute-lft-out
4×frac-times unpow-prod-down cube-prod div-inv associate-/l/ add-log-exp
3×distribute-rgt-in distribute-lft-in
2×sub-neg frac-2neg pow-prod-down associate-*l/ clear-num *-commutative associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
1×sum-cubes
Counts
4 → 131
Calls
4 calls:
95.0ms
(* v (+ (pow 1.0 3) (pow m 3)))
906.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (/ (* v (+ (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* m m) (* 1.0 m))))) 1.0) (- 1.0 m))
89.0ms
(/ (* v (+ (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* m m) (* 1.0 m))))
104.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (/ (* v (+ (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* m m) (* 1.0 m)))))

series714.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(* v (+ (pow 1.0 3) (pow m 3)))
151.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (/ (* v (+ (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* m m) (* 1.0 m))))) 1.0) (- 1.0 m))
232.0ms
(/ (* v (+ (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* m m) (* 1.0 m))))
197.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (/ (* v (+ (pow 1.0 3) (pow m 3))) (+ (* 1.0 1.0) (- (* m m) (* 1.0 m)))))

simplify523.0ms

Counts
143 → 143
Iterations

Useful iterations: done (513.0ms)

IterNodesCost
02595271
18814769
done50014173

prune918.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 4 expressions with local error:

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

rewrite729.0ms

Algorithm
rewrite-expression-head
Rules
32×frac-times
25×add-exp-log add-cbrt-cube
23×add-sqr-sqrt flip3-- flip--
19×*-un-lft-identity
18×associate-*r*
16×associate-*r/ associate-*l/
13×pow1 flip3-+ flip-+
9×add-cube-cbrt associate-*l* prod-exp cbrt-unprod
8×sqrt-prod
6×difference-of-squares
5×distribute-rgt-in distribute-lft-in pow-prod-down
4×cbrt-undiv sub-neg div-exp add-log-exp
3×*-commutative distribute-lft-out--
2×associate-/r/ associate-/l/ distribute-lft-out unswap-sqr
1×frac-2neg times-frac clear-num associate-/r* div-inv associate-/l*
Counts
4 → 136
Calls
4 calls:
30.0ms
(* m (- (* 1.0 1.0) (* m m)))
39.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
350.0ms
(* (* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
300.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m)))

series765.0ms

Counts
4 → 12
Calls
4 calls:
146.0ms
(* m (- (* 1.0 1.0) (* m m)))
112.0ms
(/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m)))
244.0ms
(* (* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m))) (- (sqrt 1.0) (sqrt m)))
263.0ms
(* (- (/ (* m (- (* 1.0 1.0) (* m m))) (* v (+ 1.0 m))) 1.0) (+ (sqrt 1.0) (sqrt m)))

simplify670.0ms

Counts
148 → 148
Iterations

Useful iterations: done (658.0ms)

IterNodesCost
02835258
110784704
done50014294

prune797.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes119.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0813
11013
done1013

end0.0ms

sample2.2s

Algorithm
intervals
Results
881.0ms13841×pre80true
789.0ms13841×body80valid