Details

Time bar (total: 12.5s)

sample32.0ms

Algorithm
intervals
Results
12.0ms342×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2187
done187

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x y) (* z t))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×pow1 add-exp-log add-sqr-sqrt add-cube-cbrt sub-neg flip3-- *-un-lft-identity diff-log add-cbrt-cube flip--
Counts
1 → 12
Calls
1 calls:
14.0ms
(- (* x y) (* z t))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(- (* x y) (* z t))

simplify1.9s

Counts
15 → 15
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
032168
192163
2280149
3894149
42563149
done5000149

prune52.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* t z))
0.3b
(pow (- (* x y) (* t z)) 3)
34.2b
(cbrt (pow (- (* x y) (* t z)) 3))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
9×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×unpow-prod-down cube-prod
5×add-log-exp
4×pow1 add-exp-log cube-div add-cbrt-cube
3×pow-unpow flip3-- flip--
2×cube-mult cbrt-div unpow3 sqr-pow
1×pow-to-exp sub-neg pow-pow pow1/3 diff-log pow-exp rem-cbrt-cube rem-cube-cbrt
Counts
3 → 60
Calls
3 calls:
16.0ms
(- (* x y) (* t z))
21.0ms
(pow (- (* x y) (* t z)) 3)
20.0ms
(cbrt (pow (- (* x y) (* t z)) 3))

series295.0ms

Counts
3 → 9
Calls
3 calls:
66.0ms
(- (* x y) (* t z))
168.0ms
(pow (- (* x y) (* t z)) 3)
60.0ms
(cbrt (pow (- (* x y) (* t z)) 3))

simplify2.0s

Counts
69 → 69
Iterations

Useful iterations: 2 (695.0ms)

IterNodesCost
0941098
1311923
21876829
done5002829

prune242.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.8b
(+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t))))
1.9b
(- (pow (* x y) 3) (pow (* z t) 3))
2.0b
(* (* t z) (+ (* x y) (* z t)))
36.4b
(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))

rewrite250.0ms

Algorithm
rewrite-expression-head
Rules
39×add-sqr-sqrt
29×*-un-lft-identity
27×times-frac
20×difference-of-squares sqr-pow
19×add-cube-cbrt
11×add-exp-log add-cbrt-cube
9×pow1 associate-/l*
8×add-log-exp
5×difference-cubes distribute-lft-out--
3×flip3-+ associate-*r* pow-prod-down prod-exp associate-/r* cbrt-unprod flip-+
2×distribute-rgt-in associate-+r+ flip3-- distribute-lft-in associate-*r/ associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg diff-log div-sub div-exp associate-*l* clear-num sum-log *-commutative div-inv
Counts
4 → 109
Calls
4 calls:
59.0ms
(+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t))))
34.0ms
(- (pow (* x y) 3) (pow (* z t) 3))
31.0ms
(* (* t z) (+ (* x y) (* z t)))
121.0ms
(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))

series797.0ms

Counts
4 → 12
Calls
4 calls:
145.0ms
(+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t))))
315.0ms
(- (pow (* x y) 3) (pow (* z t) 3))
92.0ms
(* (* t z) (+ (* x y) (* z t)))
245.0ms
(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))

simplify4.9s

Counts
121 → 121
Iterations

Useful iterations: 2 (871.0ms)

IterNodesCost
02114210
16053970
244503736
done50013736

prune459.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes150.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
197
done97

end0.0ms

sample1.1s

Algorithm
intervals
Results
519.0ms10514×body80valid