Details

Time bar (total: 18.8s)

sample62.0ms

Algorithm
intervals
Results
25.0ms359×body80valid

simplify5.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12613
28913
327813
474313
5159813
6204413
7215313
8215913
done215913

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.3b

localize30.0ms

Local error

Found 3 expressions with local error:

0.2b
(- (* x y) (* (* z 9.0) t))
0.4b
(* (* z 9.0) t)
6.6b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite78.0ms

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:
20.0ms
(- (* x y) (* (* z 9.0) t))
18.0ms
(* (* z 9.0) t)
37.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series233.0ms

Counts
3 → 9
Calls
3 calls:
97.0ms
(- (* x y) (* (* z 9.0) t))
37.0ms
(* (* z 9.0) t)
98.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.2s

Counts
63 → 63
Iterations

Useful iterations: 2 (235.0ms)

IterNodesCost
0116858
1328827
21593711
done5000711

prune443.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 6.5b

localize29.0ms

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))
5.0b
(/ (* x y) a)
6.4b
(/ (* t z) a)

rewrite101.0ms

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:
28.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
37.0ms
(* 4.5 (/ (* t z) a))
16.0ms
(/ (* x y) a)
16.0ms
(/ (* t z) a)

series301.0ms

Counts
4 → 12
Calls
4 calls:
180.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
54.0ms
(* 4.5 (/ (* t z) a))
34.0ms
(/ (* x y) a)
33.0ms
(/ (* t z) a)

simplify1.4s

Counts
95 → 95
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01441055
14041008
22154896
done5000874

prune443.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.2b

localize21.0ms

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)))
4.6b
(/ t (/ a z))
5.0b
(/ (* x y) a)

rewrite124.0ms

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:
33.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
40.0ms
(* 4.5 (/ t (/ a z)))
16.0ms
(/ t (/ a z))
19.0ms
(/ (* x y) a)

series274.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ t (/ a z))))
43.0ms
(* 4.5 (/ t (/ a z)))
40.0ms
(/ t (/ a z))
25.0ms
(/ (* x y) a)

simplify1.9s

Counts
182 → 182
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02882200
18222069
242451891
done50011885

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* 0.5 (/ (* x y) a)) (* (* 4.5 t) (/ z a)))
4.7b
(* (* 4.5 t) (/ z a))
5.0b
(/ (* x y) a)

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
20×add-exp-log add-cbrt-cube
13×associate-*r*
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
8×pow1
7×prod-exp cbrt-unprod
5×associate-*r/ add-log-exp
4×cbrt-undiv div-exp
3×pow-prod-down associate-/r*
2×div-inv
1×sub-neg flip3-- frac-2neg diff-log associate-*l* clear-num *-commutative frac-sub flip-- associate-/l* sub-div
Counts
3 → 68
Calls
3 calls:
26.0ms
(- (* 0.5 (/ (* x y) a)) (* (* 4.5 t) (/ z a)))
23.0ms
(* (* 4.5 t) (/ z a))
10.0ms
(/ (* x y) a)

series239.0ms

Counts
3 → 9
Calls
3 calls:
161.0ms
(- (* 0.5 (/ (* x y) a)) (* (* 4.5 t) (/ z a)))
54.0ms
(* (* 4.5 t) (/ z a))
23.0ms
(/ (* x y) a)

simplify2.2s

Counts
77 → 77
Iterations

Useful iterations: done (2.2s)

IterNodesCost
0149946
1441898
22865782
done5001776

prune354.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

regimes923.0ms

Accuracy

38.6% (5.0b remaining)

Error of 5.0b against oracle of 0.0b and baseline of 8.1b

bsearch1.0ms

simplify6.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03361
14361
done4361

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.1s11065×body80valid