Details

Time bar (total: 29.0s)

sample53.0ms

Algorithm
intervals
Results
18.0ms345×body80valid

simplify14.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2187
done187

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize30.0ms

Local error

Found 1 expressions with local error:

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

rewrite19.0ms

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:
19.0ms
(- (* x y) (* z t))

series77.0ms

Counts
1 → 3
Calls
1 calls:
76.0ms
(- (* x y) (* z t))

simplify2.5s

Counts
15 → 15
Iterations

Useful iterations: 2 (75.0ms)

IterNodesCost
032168
192163
2280149
3894149
42563149
done5000149

prune91.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize44.0ms

Local error

Found 4 expressions with local error:

1.4b
(- (pow (* x y) 3) (pow (* z t) 3))
1.4b
(+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t))))
3.2b
(* (* t z) (+ (* x y) (* z t)))
36.8b
(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))

rewrite269.0ms

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:
28.0ms
(- (pow (* x y) 3) (pow (* z t) 3))
47.0ms
(+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t))))
51.0ms
(* (* t z) (+ (* x y) (* z t)))
136.0ms
(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))

series933.0ms

Counts
4 → 12
Calls
4 calls:
382.0ms
(- (pow (* x y) 3) (pow (* z t) 3))
184.0ms
(+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t))))
109.0ms
(* (* t z) (+ (* x y) (* z t)))
258.0ms
(/ (- (pow (* x y) 3) (pow (* z t) 3)) (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))

simplify6.3s

Counts
121 → 121
Iterations

Useful iterations: 2 (1.1s)

IterNodesCost
02114210
16043970
245353736
done50003736

prune1.1s

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

3.2b
(* (* t z) (+ (* x y) (* z t)))
23.6b
(sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))
23.6b
(sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))
24.3b
(/ (+ (* (* t z) (+ (* x y) (* z t))) (* (* x y) (* x y))) (sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t))))))

rewrite393.0ms

Algorithm
rewrite-expression-head
Rules
24×add-sqr-sqrt
22×add-cube-cbrt *-un-lft-identity
18×times-frac sqrt-prod
11×pow1 add-exp-log add-cbrt-cube
6×sqrt-div associate-/r*
5×flip3-+ flip-+
4×add-log-exp
3×associate-*r* pow-prod-down prod-exp cbrt-unprod associate-/l*
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*r/ associate-/r/ associate-/l/
1×cbrt-undiv distribute-rgt-in frac-2neg distribute-lft-in div-exp associate-*l* clear-num *-commutative div-inv
Counts
4 → 95
Calls
4 calls:
53.0ms
(* (* t z) (+ (* x y) (* z t)))
62.0ms
(sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))
66.0ms
(sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))
208.0ms
(/ (+ (* (* t z) (+ (* x y) (* z t))) (* (* x y) (* x y))) (sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t))))))

series755.0ms

Counts
4 → 12
Calls
4 calls:
110.0ms
(* (* t z) (+ (* x y) (* z t)))
220.0ms
(sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))
209.0ms
(sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))
215.0ms
(/ (+ (* (* t z) (+ (* x y) (* z t))) (* (* x y) (* x y))) (sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t))))))

simplify3.8s

Counts
107 → 107
Iterations

Useful iterations: done (3.8s)

IterNodesCost
01574213
14323899
230373639
done50003241

prune861.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize110.0ms

Local error

Found 4 expressions with local error:

13.9b
(* (/ 1 (sqrt (sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t))))))) (/ (+ (* (* t z) (+ (* x y) (* z t))) (* (* x y) (* x y))) (sqrt (sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t))))))))
23.6b
(sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))
23.6b
(sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))
23.6b
(sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))

rewrite799.0ms

Algorithm
rewrite-expression-head
Rules
137×add-sqr-sqrt
108×sqrt-prod
99×times-frac
57×*-un-lft-identity
45×add-cube-cbrt
33×associate-*r* associate-*l*
28×unswap-sqr
26×add-exp-log
16×add-cbrt-cube
14×sqrt-div
9×pow1
8×div-exp prod-exp
5×flip3-+ flip-+
4×cbrt-undiv associate-/r/ cbrt-unprod add-log-exp
3×rem-sqrt-square sqrt-pow1 pow1/2
2×rec-exp 1-exp div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 163
Calls
4 calls:
570.0ms
(* (/ 1 (sqrt (sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t))))))) (/ (+ (* (* t z) (+ (* x y) (* z t))) (* (* x y) (* x y))) (sqrt (sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t))))))))
72.0ms
(sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))
69.0ms
(sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))
69.0ms
(sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))

series862.0ms

Counts
4 → 12
Calls
4 calls:
210.0ms
(* (/ 1 (sqrt (sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t))))))) (/ (+ (* (* t z) (+ (* x y) (* z t))) (* (* x y) (* x y))) (sqrt (sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t))))))))
205.0ms
(sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))
227.0ms
(sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))
220.0ms
(sqrt (+ (* (* x y) (* x y)) (* (* t z) (+ (* x y) (* z t)))))

simplify5.9s

Counts
175 → 175
Iterations

Useful iterations: 2 (1.0s)

IterNodesCost
020112026
165511495
2486310583
done500010583

prune1.5s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0.0b

regimes657.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
197
done97

end0.0ms

sample2.0s

Algorithm
intervals
Results
1.1s10511×body80valid