Details

Time bar (total: 10.4s)

sample33.0ms

Algorithm
intervals
Results
13.0ms356×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12613
28913
327713
471713
5121213
6140413
7141913
done141913

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize10.0ms

Local error

Found 3 expressions with local error:

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

rewrite51.0ms

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:
17.0ms
(* (* z 9.0) t)
8.0ms
(- (* x y) (* (* z 9.0) t))
24.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series161.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(* (* z 9.0) t)
66.0ms
(- (* x y) (* (* z 9.0) t))
73.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify906.0ms

Counts
63 → 63
Iterations

Useful iterations: 2 (149.0ms)

IterNodesCost
0116858
1324827
21251711
done5001711

prune161.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.2b

localize11.0ms

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))
5.7b
(/ (* x y) a)
9.1b
(/ (* t z) a)

rewrite57.0ms

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:
16.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
17.0ms
(* 4.5 (/ (* t z) a))
9.0ms
(/ (* x y) a)
12.0ms
(/ (* t z) a)

series186.0ms

Counts
4 → 12
Calls
4 calls:
113.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
29.0ms
(* 4.5 (/ (* t z) a))
21.0ms
(/ (* x y) a)
24.0ms
(/ (* t z) a)

simplify875.0ms

Counts
95 → 95
Iterations

Useful iterations: 2 (180.0ms)

IterNodesCost
01441055
13751008
21413874
done5000874

prune220.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.7b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
0.2b
(* 4.5 (/ (* t z) a))
4.3b
(/ x (/ a y))
9.1b
(/ (* t z) a)

rewrite58.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
53×add-sqr-sqrt
51×add-cube-cbrt *-un-lft-identity
23×add-exp-log add-cbrt-cube
16×associate-/r*
7×cbrt-undiv div-exp associate-*r* div-inv
6×pow1 add-log-exp
5×prod-exp cbrt-unprod
4×associate-/l*
3×associate-*r/ associate-*l*
2×frac-2neg clear-num
1×sub-neg flip3-- diff-log pow-prod-down associate-/r/ *-commutative frac-sub flip-- unswap-sqr
Counts
4 → 131
Calls
4 calls:
15.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
19.0ms
(* 4.5 (/ (* t z) a))
9.0ms
(/ x (/ a y))
10.0ms
(/ (* t z) a)

series167.0ms

Counts
4 → 12
Calls
4 calls:
91.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
29.0ms
(* 4.5 (/ (* t z) a))
26.0ms
(/ x (/ a y))
21.0ms
(/ (* t z) a)

simplify1.0s

Counts
143 → 143
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02501726
15791619
220091477
done50001475

prune358.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(* 0.5 (/ x (/ a y)))
0.0b
(- (* 0.5 (/ x (/ a y))) (* (* t 4.5) (/ z a)))
4.3b
(/ x (/ a y))
5.5b
(* (* t 4.5) (/ z a))

rewrite88.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
98×add-sqr-sqrt
89×add-cube-cbrt *-un-lft-identity
57×associate-*r*
30×add-exp-log add-cbrt-cube
13×associate-/r*
11×pow1
10×div-inv
9×prod-exp cbrt-unprod
8×cbrt-undiv div-exp
6×add-log-exp
4×associate-*r/ associate-*l* pow-prod-down
3×associate-/l* unswap-sqr
2×associate-/r/ *-commutative
1×sub-neg flip3-- frac-2neg diff-log clear-num frac-sub flip--
Counts
4 → 182
Calls
4 calls:
27.0ms
(* 0.5 (/ x (/ a y)))
21.0ms
(- (* 0.5 (/ x (/ a y))) (* (* t 4.5) (/ z a)))
8.0ms
(/ x (/ a y))
22.0ms
(* (* t 4.5) (/ z a))

series179.0ms

Counts
4 → 12
Calls
4 calls:
31.0ms
(* 0.5 (/ x (/ a y)))
91.0ms
(- (* 0.5 (/ x (/ a y))) (* (* t 4.5) (/ z a)))
22.0ms
(/ x (/ a y))
35.0ms
(* (* t 4.5) (/ z a))

simplify1.4s

Counts
194 → 194
Iterations

Useful iterations: done (1.4s)

IterNodesCost
03162381
17852179
228412011
done50012009

prune492.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

regimes541.0ms

Accuracy

48% (4.2b remaining)

Error of 4.3b against oracle of 0.0b and baseline of 8.1b

bsearch1.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
04884
16684
done6684

end0.0ms

sample796.0ms

Algorithm
intervals
Results
344.0ms11050×body80valid