Details

Time bar (total: 13.9s)

sample44.0ms

Algorithm
intervals
Results
17.0ms357×body80valid

simplify46.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2339
3459
4639
5679
done679

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.2b

localize9.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
8.7b
(/ (- (* x y) (* z t)) a)

rewrite41.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×associate-/r* associate-/l*
2×pow1 flip3-- flip-- associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 42
Calls
2 calls:
13.0ms
(- (* x y) (* z t))
26.0ms
(/ (- (* x y) (* z t)) a)

series114.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(- (* x y) (* z t))
64.0ms
(/ (- (* x y) (* z t)) a)

simplify1.7s

Counts
48 → 48
Iterations

Useful iterations: 2 (93.0ms)

IterNodesCost
080652
1205632
2638582
32177582
done5001582

prune217.0ms

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 8.9b

localize18.0ms

Local error

Found 2 expressions with local error:

0.3b
(+ (* x y) (- (* z t)))
8.7b
(/ (+ (* x y) (- (* z t))) a)

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
6×add-log-exp
4×add-exp-log add-cbrt-cube
3×div-sub associate-/r* associate-/l*
2×pow1 neg-sub0 associate-+r- flip3-+ unsub-neg sum-log flip-+ associate-/l/
1×cbrt-undiv +-commutative frac-2neg div-exp neg-log clear-num div-inv
Counts
2 → 47
Calls
2 calls:
9.0ms
(+ (* x y) (- (* z t)))
32.0ms
(/ (+ (* x y) (- (* z t))) a)

series129.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(+ (* x y) (- (* z t)))
67.0ms
(/ (+ (* x y) (- (* z t))) a)

simplify2.5s

Counts
53 → 53
Iterations

Useful iterations: 3 (843.0ms)

IterNodesCost
085744
1209664
2712609
32678604
done5000604

prune219.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.9b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(- (* x y) (* z t))
8.8b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
11×add-exp-log *-un-lft-identity times-frac
10×add-cube-cbrt
7×add-cbrt-cube
4×pow1 prod-exp add-log-exp
3×flip3-- associate-*l* flip-- unswap-sqr
2×frac-times div-exp associate-*l/ cbrt-unprod
1×cbrt-undiv sub-neg rec-exp diff-log 1-exp associate-*r/ pow-prod-down un-div-inv *-commutative div-inv
Counts
2 → 52
Calls
2 calls:
14.0ms
(- (* x y) (* z t))
66.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series125.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- (* x y) (* z t))
80.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify3.1s

Counts
58 → 58
Iterations

Useful iterations: 2 (129.0ms)

IterNodesCost
0106832
1271728
2802638
33106638
done5002638

prune216.0ms

Pruning

14 alts after pruning (13 fresh and 1 done)

Merged error: 8.9b

localize12.0ms

Local error

Found 3 expressions with local error:

0.3b
(- (* x y) (* t z))
0.5b
(/ 1 (/ a (- (* x y) (* t z))))
8.6b
(/ a (- (* x y) (* t z)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
90×times-frac
55×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×associate-/r*
16×add-exp-log
11×associate-/r/
10×add-cbrt-cube
8×div-exp
6×flip3-- flip-- div-inv associate-/l*
5×add-log-exp
4×pow1 cbrt-undiv
2×rec-exp frac-2neg 1-exp clear-num
1×sub-neg pow-flip diff-log inv-pow
Counts
3 → 125
Calls
3 calls:
16.0ms
(- (* x y) (* t z))
42.0ms
(/ 1 (/ a (- (* x y) (* t z))))
15.0ms
(/ a (- (* x y) (* t z)))

series257.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(- (* x y) (* t z))
104.0ms
(/ 1 (/ a (- (* x y) (* t z))))
87.0ms
(/ a (- (* x y) (* t z)))

simplify2.6s

Counts
134 → 134
Iterations

Useful iterations: 3 (856.0ms)

IterNodesCost
01852490
14112241
29312032
328151998
done50001998

prune341.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 8.9b

regimes511.0ms

Accuracy

0% (0.3b remaining)

Error of 7.8b against oracle of 7.4b and baseline of 7.8b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01010
11710
21910
done1910

end0.0ms

sample1.5s

Algorithm
intervals
Results
642.0ms11234×body80valid