Details

Time bar (total: 14.9s)

sample63.0ms

Algorithm
intervals
Results
27.0ms359×body80valid

simplify76.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
099
1169
2339
3459
4639
5679
done679

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.4b

localize26.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
9.8b
(/ (- (* x y) (* z t)) a)

rewrite33.0ms

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:
8.0ms
(- (* x y) (* z t))
24.0ms
(/ (- (* x y) (* z t)) a)

series152.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(- (* x y) (* z t))
81.0ms
(/ (- (* x y) (* z t)) a)

simplify1.7s

Counts
48 → 48
Iterations

Useful iterations: 2 (127.0ms)

IterNodesCost
080652
1205632
2638582
32177582
done5001582

prune196.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 10.1b

localize19.0ms

Local error

Found 2 expressions with local error:

0.5b
(- (* x y) (* z t))
9.9b
(* (- (* x y) (* z t)) (/ 1 a))

rewrite78.0ms

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:
8.0ms
(- (* x y) (* z t))
68.0ms
(* (- (* x y) (* z t)) (/ 1 a))

series119.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(- (* x y) (* z t))
57.0ms
(* (- (* x y) (* z t)) (/ 1 a))

simplify3.1s

Counts
58 → 58
Iterations

Useful iterations: 2 (202.0ms)

IterNodesCost
0106832
1271728
2802638
33106638
done5002638

prune200.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 10.1b

localize20.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ 1 (/ a (- (* x y) (* z t))))
0.5b
(- (* x y) (* z t))
9.8b
(/ a (- (* x y) (* z t)))

rewrite77.0ms

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:
35.0ms
(/ 1 (/ a (- (* x y) (* z t))))
8.0ms
(- (* x y) (* z t))
23.0ms
(/ a (- (* x y) (* z t)))

series251.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(/ 1 (/ a (- (* x y) (* z t))))
73.0ms
(- (* x y) (* z t))
61.0ms
(/ a (- (* x y) (* z t)))

simplify3.1s

Counts
134 → 134
Iterations

Useful iterations: 3 (922.0ms)

IterNodesCost
01872490
14162241
29362032
328011998
done50011998

prune358.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 10.1b

localize25.0ms

Local error

Found 4 expressions with local error:

3.9b
(cbrt (/ (- (* x y) (* z t)) a))
9.8b
(/ (- (* x y) (* z t)) a)
9.8b
(/ (- (* x y) (* z t)) a)
9.8b
(/ (- (* x y) (* z t)) a)

rewrite96.0ms

Algorithm
rewrite-expression-head
Rules
36×times-frac
35×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
13×cbrt-prod
10×add-exp-log add-cbrt-cube
9×associate-/r* associate-/l*
6×associate-/l/
4×pow1 div-inv add-log-exp
3×cbrt-undiv flip3-- frac-2neg div-sub div-exp clear-num flip--
1×cbrt-div pow1/3
Counts
4 → 112
Calls
4 calls:
6.0ms
(cbrt (/ (- (* x y) (* z t)) a))
23.0ms
(/ (- (* x y) (* z t)) a)
39.0ms
(/ (- (* x y) (* z t)) a)
23.0ms
(/ (- (* x y) (* z t)) a)

series553.0ms

Counts
4 → 12
Calls
4 calls:
296.0ms
(cbrt (/ (- (* x y) (* z t)) a))
90.0ms
(/ (- (* x y) (* z t)) a)
72.0ms
(/ (- (* x y) (* z t)) a)
95.0ms
(/ (- (* x y) (* z t)) a)

simplify1.8s

Counts
124 → 124
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01381949
12911890
28091760
326761751
done50001739

prune632.0ms

Pruning

11 alts after pruning (7 fresh and 4 done)

Merged error: 10.1b

regimes515.0ms

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: 0 (0.0ms)

IterNodesCost
099
1119
done119

end0.0ms

sample1.6s

Algorithm
intervals
Results
660.0ms11093×body80valid