Details

Time bar (total: 16.4s)

sample48.0ms

Algorithm
intervals
Results
20.0ms337×body80valid

simplify3.3s

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: 10.3b

localize20.0ms

Local error

Found 3 expressions with local error:

0.2b
(* (* z 9.0) t)
0.3b
(- (* x y) (* (* z 9.0) t))
9.6b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite77.0ms

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)
8.0ms
(- (* x y) (* (* z 9.0) t))
50.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series226.0ms

Counts
3 → 9
Calls
3 calls:
21.0ms
(* (* z 9.0) t)
95.0ms
(- (* 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 (247.0ms)

IterNodesCost
0116858
1324827
21251711
done5001711

prune303.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 9.8b

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))
5.5b
(/ (* t z) a)
6.5b
(/ (* x y) a)

rewrite95.0ms

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:
40.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
19.0ms
(* 4.5 (/ (* t z) a))
12.0ms
(/ (* t z) a)
21.0ms
(/ (* x y) a)

series245.0ms

Counts
4 → 12
Calls
4 calls:
143.0ms
(- (* 0.5 (/ (* x y) a)) (* 4.5 (/ (* t z) a)))
42.0ms
(* 4.5 (/ (* t z) a))
26.0ms
(/ (* t z) a)
35.0ms
(/ (* x y) a)

simplify1.7s

Counts
95 → 95
Iterations

Useful iterations: 2 (261.0ms)

IterNodesCost
01441055
13751008
21415874
done5001874

prune334.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.5b

localize18.0ms

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))
4.6b
(/ x (/ a y))
5.5b
(/ (* t z) a)

rewrite86.0ms

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:
39.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
18.0ms
(* 4.5 (/ (* t z) a))
9.0ms
(/ x (/ a y))
10.0ms
(/ (* t z) a)

series257.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(- (* 0.5 (/ x (/ a y))) (* 4.5 (/ (* t z) a)))
55.0ms
(* 4.5 (/ (* t z) a))
38.0ms
(/ x (/ a y))
33.0ms
(/ (* t z) a)

simplify1.6s

Counts
143 → 143
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02501726
15791619
220091477
done50001475

prune562.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt a)
0.5b
(cbrt a)
3.4b
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
4.6b
(/ x (/ a y))

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
93×times-frac
61×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
41×add-exp-log
33×add-cbrt-cube
22×associate-*r*
16×prod-exp cbrt-unprod
15×cbrt-prod
13×associate-/r*
11×cbrt-undiv div-exp
9×pow1
6×div-inv
4×add-log-exp
3×associate-*r/ pow-prod-down associate-/l*
2×pow1/3
1×frac-times frac-2neg associate-*l* associate-*l/ clear-num associate-/r/ *-commutative
Counts
4 → 144
Calls
4 calls:
2.0ms
(cbrt a)
2.0ms
(cbrt a)
137.0ms
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
9.0ms
(/ x (/ a y))

series716.0ms

Counts
4 → 12
Calls
4 calls:
310.0ms
(cbrt a)
283.0ms
(cbrt a)
83.0ms
(* (* 4.5 (/ t (* (cbrt a) (cbrt a)))) (/ z (cbrt a)))
40.0ms
(/ x (/ a y))

simplify1.7s

Counts
156 → 156
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02842063
17091935
229251563
done50001535

prune739.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

regimes580.0ms

Accuracy

24.9% (6.0b remaining)

Error of 6.0b against oracle of 0.0b and baseline of 8.0b

bsearch414.0ms

Steps
ItersRangePoint
8
8.241903478382293e+104
1.1454728851377046e+109
8.760394845593749e+105
8
1.3952802945510084e-228
7.311081186568777e-224
2.1071131039275873e-227
10
-3.621551480846789e-264
-1.2791811457187248e-276
-1.205276844410741e-273
10
-5.051236774021027e-142
-3.5877351750007996e-160
-5.447225618720537e-151
5
-4.218959888062966e-11
-1.1532918522027522e-11
-3.964589955066153e-11

simplify29.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
059117
177117
done77117

end0.0ms

sample1.7s

Algorithm
intervals
Results
767.0ms11067×body80valid