Details

Time bar (total: 14.7s)

sample149.0ms

Algorithm
intervals
Results
30.0ms448×body80valid
13.0ms448×pre80true

simplify1.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0813
11613
24013
310513
436013
5133813
done500013

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize20.0ms

Local error

Found 3 expressions with local error:

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

rewrite239.0ms

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:
41.0ms
(* m (- 1.0 m))
37.0ms
(/ (* m (- 1.0 m)) v)
156.0ms
(* (- (/ (* m (- 1.0 m)) v) 1.0) (- 1.0 m))

series229.0ms

Counts
3 → 9
Calls
3 calls:
87.0ms
(* m (- 1.0 m))
76.0ms
(/ (* m (- 1.0 m)) v)
65.0ms
(* (- (/ (* 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

prune285.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 3 expressions with local error:

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

rewrite337.0ms

Algorithm
rewrite-expression-head
Rules
23×add-sqr-sqrt
18×*-un-lft-identity
14×add-cube-cbrt
13×times-frac
7×add-exp-log add-cbrt-cube
6×flip3-- associate-*l* flip--
5×pow1 associate-*r* distribute-lft-out add-log-exp
4×frac-times distribute-rgt-neg-out associate-/l*
3×associate-/r* difference-of-squares
2×distribute-rgt-in sub-neg distribute-lft-in flip3-+ div-sub associate-*r/ unsub-neg associate-*l/ flip-+ associate-/l/ distribute-lft-out--
1×cbrt-undiv +-commutative frac-2neg div-exp pow-prod-down prod-exp clear-num sum-log *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 84
Calls
3 calls:
8.0ms
(+ (* m 1.0) (* m (- m)))
39.0ms
(/ (+ (* m 1.0) (* m (- m))) v)
287.0ms
(* (- (/ (+ (* m 1.0) (* m (- m))) v) 1.0) (- 1.0 m))

series263.0ms

Counts
3 → 9
Calls
3 calls:
110.0ms
(+ (* m 1.0) (* m (- m)))
86.0ms
(/ (+ (* m 1.0) (* m (- m))) v)
67.0ms
(* (- (/ (+ (* m 1.0) (* m (- m))) v) 1.0) (- 1.0 m))

simplify1.6s

Counts
93 → 93
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01651764
14481383
222941298
done50011293

prune318.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 1.0 (/ m v)) (/ (pow m 2) v))
0.0b
(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
14.3b
(/ (pow m 2) v)

rewrite640.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
27×*-un-lft-identity
25×times-frac
22×add-cube-cbrt
12×unpow-prod-down
10×add-exp-log
8×associate-/l*
7×flip3-- add-cbrt-cube flip--
5×pow1 associate-*r* associate-*l* unpow2 add-log-exp
4×frac-times associate-*r/ sqr-pow
3×sub-neg div-exp associate-/r*
2×distribute-rgt-in distribute-lft-in associate-*l/ distribute-lft-out-- difference-of-squares
1×cbrt-undiv pow-to-exp distribute-rgt-out-- frac-2neg diff-log pow-prod-down pow-exp prod-exp clear-num *-commutative frac-sub cbrt-unprod div-inv sub-div unswap-sqr
Counts
3 → 98
Calls
3 calls:
20.0ms
(- (* 1.0 (/ m v)) (/ (pow m 2) v))
603.0ms
(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
9.0ms
(/ (pow m 2) v)

series124.0ms

Counts
3 → 9
Calls
3 calls:
43.0ms
(- (* 1.0 (/ m v)) (/ (pow m 2) v))
44.0ms
(* (- (- (* 1.0 (/ m v)) (/ (pow m 2) v)) 1.0) (- 1.0 m))
36.0ms
(/ (pow m 2) v)

simplify1.6s

Counts
107 → 107
Iterations

Useful iterations: done (1.6s)

IterNodesCost
01941830
14611728
222851591
done50001589

prune355.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 1.0 (/ m v)) (/ (sqrt (pow m 2)) (/ v (fabs m))))
0.0b
(* (- (- (* 1.0 (/ m v)) (/ (sqrt (pow m 2)) (/ v (fabs m)))) 1.0) (- 1.0 m))
0.2b
(/ (sqrt (pow m 2)) (/ v (fabs m)))
26.3b
(sqrt (pow m 2))

rewrite1.5s

Algorithm
rewrite-expression-head
Rules
251×times-frac
142×add-sqr-sqrt
138×*-un-lft-identity
134×add-cube-cbrt
120×sqrt-prod
46×unpow-prod-down
16×unpow2 sqr-pow
13×associate-/r* div-inv
11×add-exp-log add-cbrt-cube associate-/l*
7×flip3-- flip--
6×pow1 add-log-exp
5×associate-*r* associate-*l*
4×frac-times rem-sqrt-square
3×cbrt-undiv sub-neg associate-*r/ div-exp
2×distribute-rgt-in distribute-lft-in associate-*l/ distribute-lft-out-- difference-of-squares
1×frac-2neg sqrt-pow1 pow1/2 diff-log pow-prod-down prod-exp clear-num associate-/r/ *-commutative frac-sub cbrt-unprod unswap-sqr
Counts
4 → 250
Calls
4 calls:
59.0ms
(- (* 1.0 (/ m v)) (/ (sqrt (pow m 2)) (/ v (fabs m))))
1.4s
(* (- (- (* 1.0 (/ m v)) (/ (sqrt (pow m 2)) (/ v (fabs m)))) 1.0) (- 1.0 m))
16.0ms
(/ (sqrt (pow m 2)) (/ v (fabs m)))
4.0ms
(sqrt (pow m 2))

series263.0ms

Counts
4 → 12
Calls
4 calls:
96.0ms
(- (* 1.0 (/ m v)) (/ (sqrt (pow m 2)) (/ v (fabs m))))
96.0ms
(* (- (- (* 1.0 (/ m v)) (/ (sqrt (pow m 2)) (/ v (fabs m)))) 1.0) (- 1.0 m))
47.0ms
(/ (sqrt (pow m 2)) (/ v (fabs m)))
23.0ms
(sqrt (pow m 2))

simplify683.0ms

Counts
262 → 262
Iterations

Useful iterations: done (665.0ms)

IterNodesCost
04425586
111605145
done50004286

prune1.0s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

regimes48.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01116
11716
done1716

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.3s13697×body80valid
387.0ms13697×pre80true