Details

Time bar (total: 15.3s)

sample60.0ms

Algorithm
intervals
Results
24.0ms359×body80valid

simplify3.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12613
28913
327713
471713
5121213
6140413
7141913
done141913

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.7b

localize20.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.5b
(- (* x y) (* (* z 9.0) t))
10.0b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
13×add-exp-log add-cbrt-cube
8×pow1
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-log-exp
4×prod-exp cbrt-unprod
3×times-frac associate-*r* pow-prod-down associate-/l*
2×cbrt-undiv flip3-- div-exp flip-- associate-/l/
1×sub-neg frac-2neg diff-log div-sub associate-*l* clear-num associate-/r* *-commutative div-inv
Counts
3 → 54
Calls
3 calls:
18.0ms
(* (* z 9.0) t)
14.0ms
(- (* x y) (* (* z 9.0) t))
31.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series228.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(* (* z 9.0) t)
88.0ms
(- (* x y) (* (* z 9.0) t))
109.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.3s

Counts
63 → 63
Iterations

Useful iterations: 2 (192.0ms)

IterNodesCost
0116858
1324827
21251711
done5001711

prune222.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 10.1b

localize17.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
6.0b
(/ (* x y) a)
8.5b
(/ (* t z) a)

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
13×add-sqr-sqrt
11×add-cube-cbrt *-un-lft-identity
9×times-frac
7×associate-*r*
6×pow1 cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod add-log-exp
5×associate-*r/
3×associate-*l* div-inv
2×frac-2neg clear-num associate-/l*
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip-- sub-div unswap-sqr
Counts
4 → 83
Calls
4 calls:
18.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
24.0ms
(* 4.5 (/ (* t z) a))
10.0ms
(/ (* x y) a)
15.0ms
(/ (* t z) a)

series199.0ms

Counts
4 → 12
Calls
4 calls:
120.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
35.0ms
(* 4.5 (/ (* t z) a))
22.0ms
(/ (* x y) a)
22.0ms
(/ (* t z) a)

simplify1.1s

Counts
95 → 95
Iterations

Useful iterations: 2 (183.0ms)

IterNodesCost
01441055
13751008
21413874
done5000874

prune283.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.0b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
0.2b
(* 4.5 (/ t (/ a z)))
6.0b
(/ t (/ a z))
6.0b
(/ (* x y) a)

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
147×times-frac
93×add-sqr-sqrt
84×add-cube-cbrt *-un-lft-identity
44×associate-*r*
23×add-exp-log add-cbrt-cube
16×associate-/r*
10×div-inv
8×cbrt-undiv div-exp
6×pow1 add-log-exp
4×prod-exp cbrt-unprod associate-/l*
3×associate-*r/ associate-*l* unswap-sqr
2×frac-2neg clear-num associate-/r/
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip--
Counts
4 → 170
Calls
4 calls:
27.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
43.0ms
(* 4.5 (/ t (/ a z)))
9.0ms
(/ t (/ a z))
10.0ms
(/ (* x y) a)

series255.0ms

Counts
4 → 12
Calls
4 calls:
156.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
37.0ms
(* 4.5 (/ t (/ a z)))
28.0ms
(/ t (/ a z))
34.0ms
(/ (* x y) a)

simplify1.4s

Counts
182 → 182
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02882200
16902027
223601885
done50001883

prune713.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ t (/ a z))))
0.2b
(* 4.5 (/ t (/ a z)))
4.6b
(/ x (/ a y))
6.0b
(/ t (/ a z))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
219×times-frac
133×add-sqr-sqrt
124×add-cube-cbrt *-un-lft-identity
44×associate-*r*
26×associate-/r*
23×add-exp-log add-cbrt-cube
14×div-inv
9×cbrt-undiv div-exp
6×pow1 associate-/l* add-log-exp
3×associate-*r/ associate-*l* prod-exp associate-/r/ cbrt-unprod unswap-sqr
2×frac-2neg clear-num
1×sub-neg flip3-- diff-log pow-prod-down *-commutative frac-sub flip--
Counts
4 → 219
Calls
4 calls:
27.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ t (/ a z))))
43.0ms
(* 4.5 (/ t (/ a z)))
12.0ms
(/ x (/ a y))
16.0ms
(/ t (/ a z))

series263.0ms

Counts
4 → 12
Calls
4 calls:
141.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ t (/ a z))))
53.0ms
(* 4.5 (/ t (/ a z)))
34.0ms
(/ x (/ a y))
35.0ms
(/ t (/ a z))

simplify2.2s

Counts
231 → 231
Iterations

Useful iterations: done (2.2s)

IterNodesCost
03862882
18862649
229202497
done50012493

prune923.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes629.0ms

Accuracy

85.8% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 6.0b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03469
14569
done4569

end0.0ms

sample1.6s

Algorithm
intervals
Results
779.0ms11096×body80valid