Details

Time bar (total: 11.9s)

sample22.0ms

Algorithm
intervals
Results
8.0ms315×body80valid

simplify7.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1117
2187
done187

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite8.0ms

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:
8.0ms
(- (* x y) (* z t))

series57.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(- (* x y) (* z t))

simplify1.9s

Counts
15 → 15
Iterations

Useful iterations: 2 (37.0ms)

IterNodesCost
032168
192163
2280149
3894149
42563149
done5000149

prune50.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize351.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* x y) (* x y))
0.3b
(* (* z t) (* z t))
1.6b
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
25.3b
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (+ (* x y) (* z t)))

rewrite232.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-exp-log add-cbrt-cube
16×prod-exp cbrt-unprod
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
8×pow-sqr pow-prod-up
6×add-log-exp
5×difference-of-squares
4×pow-plus associate-/l*
3×associate-/r*
2×pow2 flip3-- swap-sqr associate-*r* associate-*l* associate-/r/ *-commutative flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg flip3-+ diff-log div-sub div-exp clear-num flip-+ div-inv
Counts
4 → 117
Calls
4 calls:
27.0ms
(* (* x y) (* x y))
32.0ms
(* (* z t) (* z t))
39.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
129.0ms
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (+ (* x y) (* z t)))

series337.0ms

Counts
4 → 12
Calls
4 calls:
49.0ms
(* (* x y) (* x y))
50.0ms
(* (* z t) (* z t))
139.0ms
(- (* (* x y) (* x y)) (* (* z t) (* z t)))
98.0ms
(/ (- (* (* x y) (* x y)) (* (* z t) (* z t))) (+ (* x y) (* z t)))

simplify2.0s

Counts
129 → 129
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01532250
14421996
229231746
done50011586

prune284.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ (* x y) (* z t)) (/ (+ (* x y) (* z t)) (- (* x y) (* t z))))
0.0b
(+ (* x y) (* z t))
0.0b
(+ (* x y) (* z t))
1.0b
(/ (+ (* x y) (* z t)) (- (* x y) (* t z)))

rewrite163.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
56×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
11×add-exp-log associate-/r/ add-cbrt-cube
8×add-log-exp
6×div-inv associate-/l*
5×flip3-- flip--
4×pow1 cbrt-undiv flip3-+ div-exp flip-+ associate-/l/
2×+-commutative frac-2neg clear-num sum-log
Counts
4 → 133
Calls
4 calls:
69.0ms
(/ (+ (* x y) (* z t)) (/ (+ (* x y) (* z t)) (- (* x y) (* t z))))
12.0ms
(+ (* x y) (* z t))
13.0ms
(+ (* x y) (* z t))
59.0ms
(/ (+ (* x y) (* z t)) (- (* x y) (* t z)))

series223.0ms

Counts
4 → 12
Calls
4 calls:
62.0ms
(/ (+ (* x y) (* z t)) (/ (+ (* x y) (* z t)) (- (* x y) (* t z))))
48.0ms
(+ (* x y) (* z t))
54.0ms
(+ (* x y) (* z t))
58.0ms
(/ (+ (* x y) (* z t)) (- (* x y) (* t z)))

simplify2.0s

Counts
145 → 145
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01984444
15694326
238613480
done50013479

prune447.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (cbrt (/ (+ (* x y) (* z t)) (- (* x y) (* t z)))) (cbrt (/ (+ (* x y) (* z t)) (- (* x y) (* t z)))))
1.0b
(/ (+ (* x y) (* z t)) (- (* x y) (* t z)))
1.0b
(/ (+ (* x y) (* z t)) (- (* x y) (* t z)))
1.0b
(/ (+ (* x y) (* z t)) (- (* x y) (* t z)))

rewrite246.0ms

Algorithm
rewrite-expression-head
Rules
84×add-sqr-sqrt
72×cbrt-prod
69×times-frac
60×add-cube-cbrt *-un-lft-identity
18×swap-sqr associate-*r* associate-*l*
14×associate-/r/
12×add-exp-log
11×pow1
10×add-cbrt-cube
9×associate-/r* associate-/l* unswap-sqr
7×flip3-- flip-- div-inv
6×pow1/3 associate-/l/
4×cbrt-div add-log-exp
3×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*r/ associate-*l/ prod-exp *-commutative cbrt-unprod
Counts
4 → 177
Calls
4 calls:
120.0ms
(* (cbrt (/ (+ (* x y) (* z t)) (- (* x y) (* t z)))) (cbrt (/ (+ (* x y) (* z t)) (- (* x y) (* t z)))))
38.0ms
(/ (+ (* x y) (* z t)) (- (* x y) (* t z)))
36.0ms
(/ (+ (* x y) (* z t)) (- (* x y) (* t z)))
39.0ms
(/ (+ (* x y) (* z t)) (- (* x y) (* t z)))

series306.0ms

Counts
4 → 12
Calls
4 calls:
134.0ms
(* (cbrt (/ (+ (* x y) (* z t)) (- (* x y) (* t z)))) (cbrt (/ (+ (* x y) (* z t)) (- (* x y) (* t z)))))
57.0ms
(/ (+ (* x y) (* z t)) (- (* x y) (* t z)))
62.0ms
(/ (+ (* x y) (* z t)) (- (* x y) (* t z)))
53.0ms
(/ (+ (* x y) (* z t)) (- (* x y) (* t z)))

simplify1.3s

Counts
189 → 189
Iterations

Useful iterations: done (1.3s)

IterNodesCost
01836044
13845806
218635502
done50005356

prune792.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes173.0ms

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

sample1.0s

Algorithm
intervals
Results
409.0ms10402×body80valid