Details

Time bar (total: 4.2s)

sample29.0ms

Algorithm
intervals
Results
13.0ms358×body80valid

simplify43.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
0247
1547
2927
31427
41927
52387
62557
72867
83307
94277
104557
115187
125957
138037
148077
158077
done8077

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.8b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
0.2b
(* (* z 3.0) y)
0.3b
(/ y (* z 3.0))
6.3b
(/ t (* (* z 3.0) y))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log add-cbrt-cube
14×*-un-lft-identity
9×pow1 add-sqr-sqrt add-cube-cbrt add-log-exp
7×prod-exp cbrt-unprod
6×times-frac associate-/l*
5×cbrt-undiv div-exp
3×associate-*r* pow-prod-down
2×associate-+l+ frac-2neg frac-add clear-num associate-/r* sum-log div-inv distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log associate-*l* *-commutative flip-- flip-+ distribute-lft-out--
Counts
4 → 81
Calls
4 calls:
72.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
18.0ms
(* (* z 3.0) y)
7.0ms
(/ y (* z 3.0))
17.0ms
(/ t (* (* z 3.0) y))

series148.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
23.0ms
(* (* z 3.0) y)
19.0ms
(/ y (* z 3.0))
29.0ms
(/ t (* (* z 3.0) y))

simplify57.0ms

Counts
93 → 93
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0405532
12039469
25001469
done5001469

prune197.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
0.2b
(/ t (* z 3.0))
0.3b
(/ y (* z 3.0))
4.1b
(/ (/ t (* z 3.0)) y)

rewrite109.0ms

Algorithm
rewrite-expression-head
Rules
39×times-frac
29×*-un-lft-identity
24×add-sqr-sqrt add-cube-cbrt
23×add-exp-log add-cbrt-cube
13×associate-/l*
9×cbrt-undiv div-exp add-log-exp
7×div-inv
5×associate-/r*
4×pow1
3×frac-2neg prod-exp clear-num cbrt-unprod
2×associate-+l+ frac-add sum-log distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ associate-/l/ distribute-lft-out--
Counts
4 → 109
Calls
4 calls:
75.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
7.0ms
(/ t (* z 3.0))
7.0ms
(/ y (* z 3.0))
16.0ms
(/ (/ t (* z 3.0)) y)

series147.0ms

Counts
4 → 12
Calls
4 calls:
78.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
19.0ms
(/ t (* z 3.0))
19.0ms
(/ y (* z 3.0))
32.0ms
(/ (/ t (* z 3.0)) y)

simplify53.0ms

Counts
121 → 121
Iterations

Useful iterations: 1 (13.0ms)

IterNodesCost
0482721
11906657
25002657
done5002657

prune275.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
0.2b
(/ (/ y z) 3.0)
0.2b
(/ t (* z 3.0))
4.1b
(/ (/ t (* z 3.0)) y)

rewrite195.0ms

Algorithm
rewrite-expression-head
Rules
111×times-frac
69×*-un-lft-identity
64×add-sqr-sqrt add-cube-cbrt
23×add-exp-log add-cbrt-cube associate-/l*
11×div-inv
10×cbrt-undiv div-exp
9×add-log-exp
7×associate-/r*
4×pow1
3×frac-2neg clear-num
2×associate-+l+ frac-add prod-exp sum-log cbrt-unprod associate-/l/ distribute-lft-out
1×+-commutative associate-+l- sub-neg flip3-- flip3-+ diff-log flip-- flip-+ distribute-lft-out--
Counts
4 → 158
Calls
4 calls:
155.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
11.0ms
(/ (/ y z) 3.0)
7.0ms
(/ t (* z 3.0))
17.0ms
(/ (/ t (* z 3.0)) y)

series143.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
18.0ms
(/ (/ y z) 3.0)
18.0ms
(/ t (* z 3.0))
29.0ms
(/ (/ t (* z 3.0)) y)

simplify62.0ms

Counts
170 → 170
Iterations

Useful iterations: 1 (16.0ms)

IterNodesCost
07281085
129341019
250011019
done50011019

prune407.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (/ y z) (* (cbrt 3.0) (cbrt 3.0)))
0.2b
(/ t (* z 3.0))
0.4b
(/ (/ (/ y z) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))
4.1b
(/ (/ t (* z 3.0)) y)

rewrite76.0ms

Algorithm
rewrite-expression-head
Rules
323×times-frac
128×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
54×cbrt-prod
48×add-exp-log
40×associate-/l*
35×add-cbrt-cube
24×cbrt-undiv div-exp div-inv
11×associate-/r*
6×prod-exp cbrt-unprod
4×pow1 frac-2neg clear-num add-log-exp
3×associate-/l/
Counts
4 → 261
Calls
4 calls:
14.0ms
(/ (/ y z) (* (cbrt 3.0) (cbrt 3.0)))
10.0ms
(/ t (* z 3.0))
26.0ms
(/ (/ (/ y z) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))
14.0ms
(/ (/ t (* z 3.0)) y)

series249.0ms

Counts
4 → 12
Calls
4 calls:
111.0ms
(/ (/ y z) (* (cbrt 3.0) (cbrt 3.0)))
21.0ms
(/ t (* z 3.0))
87.0ms
(/ (/ (/ y z) (* (cbrt 3.0) (cbrt 3.0))) (cbrt 3.0))
29.0ms
(/ (/ t (* z 3.0)) y)

simplify98.0ms

Counts
273 → 273
Iterations

Useful iterations: 2 (76.0ms)

IterNodesCost
09832572
141722392
250012362
done50012362

prune836.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes126.0ms

Accuracy

72.8% (0.5b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 2.0b

bsearch67.0ms

Steps
ItersRangePoint
6
1.5420112390516423e-74
2.2221978925609696e-73
1.3743927570433301e-73
8
-2.392281947342306e+50
-1.4413722926095007e+46
-2.217051937980128e+48

simplify6.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
04422
14422
done4422

end0.0ms

sample727.0ms

Algorithm
intervals
Results
344.0ms11110×body80valid