Details

Time bar (total: 9.8s)

sample46.0ms

Algorithm
intervals
Results
21.0ms341×body80valid

simplify60.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2339
3459
4639
5699
done699

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
7.0b
(/ (- (* x y) (* z t)) a)

rewrite47.0ms

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:
12.0ms
(- (* x y) (* z t))
33.0ms
(/ (- (* x y) (* z t)) a)

series141.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(- (* x y) (* z t))
75.0ms
(/ (- (* x y) (* z t)) a)

simplify1.9s

Counts
48 → 48
Iterations

Useful iterations: 3 (604.0ms)

IterNodesCost
080652
1210632
2726584
33754582
done5001582

prune170.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 7.1b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
7.0b
(/ (pow (- (* x y) (* z t)) 1) a)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
21×times-frac
18×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×unpow-prod-down
7×add-exp-log associate-/l*
4×add-cbrt-cube add-log-exp sqr-pow
3×div-exp associate-/r*
2×pow1
1×cbrt-undiv pow-to-exp sub-neg flip3-- frac-2neg diff-log pow-exp clear-num flip-- div-inv
Counts
2 → 57
Calls
2 calls:
8.0ms
(- (* x y) (* z t))
36.0ms
(/ (pow (- (* x y) (* z t)) 1) a)

series131.0ms

Counts
2 → 6
Calls
2 calls:
52.0ms
(- (* x y) (* z t))
79.0ms
(/ (pow (- (* x y) (* z t)) 1) a)

simplify584.0ms

Counts
63 → 63
Iterations

Useful iterations: 2 (133.0ms)

IterNodesCost
01151087
1256911
2965815
done5000815

prune252.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 7.1b

localize21.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (* x y) (* z t))
7.1b
(* (pow (- (* x y) (* z t)) 1) (/ 1 a))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
29×add-sqr-sqrt
25×add-exp-log
15×times-frac
14×*-un-lft-identity
13×associate-*r*
12×prod-exp
11×add-cube-cbrt
9×unswap-sqr
7×associate-*l* add-cbrt-cube
6×unpow-prod-down div-exp
4×pow-to-exp pow-exp add-log-exp sqr-pow
3×pow1 rec-exp 1-exp
2×cbrt-unprod
1×cbrt-undiv sub-neg flip3-- diff-log associate-*r/ pow-prod-down un-div-inv *-commutative flip-- div-inv
Counts
2 → 66
Calls
2 calls:
10.0ms
(- (* x y) (* z t))
60.0ms
(* (pow (- (* x y) (* z t)) 1) (/ 1 a))

series107.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(- (* x y) (* z t))
58.0ms
(* (pow (- (* x y) (* z t)) 1) (/ 1 a))

simplify1.4s

Counts
72 → 72
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01261186
1341955
21702810
done5002804

prune175.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 7.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* z t))
0.2b
(/ 1 (/ a (- (* x y) (* z t))))
7.0b
(/ a (- (* x y) (* z t)))

rewrite103.0ms

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) (* z t))
42.0ms
(/ 1 (/ a (- (* x y) (* z t))))
35.0ms
(/ a (- (* x y) (* z t)))

series264.0ms

Counts
3 → 9
Calls
3 calls:
72.0ms
(- (* x y) (* z t))
121.0ms
(/ 1 (/ a (- (* x y) (* z t))))
71.0ms
(/ a (- (* x y) (* z t)))

simplify1.7s

Counts
134 → 134
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01872490
14872241
224022098
done50011998

prune355.0ms

Pruning

12 alts after pruning (9 fresh and 3 done)

Merged error: 7.1b

regimes726.0ms

Accuracy

0% (0.3b remaining)

Error of 7.8b against oracle of 7.5b and baseline of 7.8b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (1.0ms)

IterNodesCost
01111
1159
done159

end0.0ms

sample1.4s

Algorithm
intervals
Results
642.0ms11149×body80valid