Details

Time bar (total: 6.8s)

sample24.0ms

Algorithm
intervals
Results
11.0ms334×body80valid

simplify154.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01115
12415
25315
38715
413315
517915
619215
720915
823415
925215
done25215

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 3.1b

localize9.0ms

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)
0.2b
(/ y (* z 3.0))
7.6b
(/ t (* (* z 3.0) y))

rewrite52.0ms

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:
31.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
6.0ms
(* (* z 3.0) y)
3.0ms
(/ y (* z 3.0))
9.0ms
(/ t (* (* z 3.0) y))

series144.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(+ (- x (/ y (* z 3.0))) (/ t (* (* z 3.0) y)))
19.0ms
(* (* z 3.0) y)
21.0ms
(/ y (* z 3.0))
28.0ms
(/ t (* (* z 3.0) y))

simplify816.0ms

Counts
93 → 93
Iterations

Useful iterations: 2 (219.0ms)

IterNodesCost
01491162
14051101
21796977
done5000977

prune204.0ms

Pruning

9 alts after pruning (9 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))
0.2b
(/ y (* z 3.0))
4.6b
(/ (/ t (* z 3.0)) y)

rewrite55.0ms

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:
40.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
3.0ms
(/ t (* z 3.0))
3.0ms
(/ y (* z 3.0))
6.0ms
(/ (/ t (* z 3.0)) y)

series142.0ms

Counts
4 → 12
Calls
4 calls:
73.0ms
(+ (- x (/ y (* z 3.0))) (/ (/ t (* z 3.0)) y))
21.0ms
(/ t (* z 3.0))
18.0ms
(/ y (* z 3.0))
29.0ms
(/ (/ t (* z 3.0)) y)

simplify794.0ms

Counts
121 → 121
Iterations

Useful iterations: 2 (251.0ms)

IterNodesCost
01951534
14831459
216031333
done50011333

prune297.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 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
(/ t (* z 3.0))
0.2b
(/ (/ y z) 3.0)
4.6b
(/ (/ t (* z 3.0)) y)

rewrite136.0ms

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:
116.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
3.0ms
(/ t (* z 3.0))
5.0ms
(/ (/ y z) 3.0)
6.0ms
(/ (/ t (* z 3.0)) y)

series144.0ms

Counts
4 → 12
Calls
4 calls:
75.0ms
(+ (- x (/ (/ y z) 3.0)) (/ (/ t (* z 3.0)) y))
18.0ms
(/ t (* z 3.0))
22.0ms
(/ (/ y z) 3.0)
28.0ms
(/ (/ t (* z 3.0)) y)

simplify900.0ms

Counts
170 → 170
Iterations

Useful iterations: 2 (432.0ms)

IterNodesCost
03052211
17272088
222121962
done50011962

prune453.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (/ y z) 3.0) (/ (/ t (* z 3.0)) y))
0.2b
(/ t (* z 3.0))
0.2b
(/ (/ y z) 3.0)
4.6b
(/ (/ t (* z 3.0)) y)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
122×times-frac
85×add-sqr-sqrt
70×*-un-lft-identity
64×add-cube-cbrt
23×add-exp-log add-cbrt-cube associate-/l*
11×div-inv
10×cbrt-undiv div-exp
7×associate-/r*
6×add-log-exp difference-of-squares
4×pow1
3×frac-2neg clear-num
2×prod-exp cbrt-unprod associate-/l/ distribute-lft-out--
1×sub-neg flip3-- diff-log frac-sub flip--
Counts
4 → 160
Calls
4 calls:
65.0ms
(- (/ (/ y z) 3.0) (/ (/ t (* z 3.0)) y))
3.0ms
(/ t (* z 3.0))
5.0ms
(/ (/ y z) 3.0)
6.0ms
(/ (/ t (* z 3.0)) y)

series113.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- (/ (/ y z) 3.0) (/ (/ t (* z 3.0)) y))
19.0ms
(/ t (* z 3.0))
18.0ms
(/ (/ y z) 3.0)
32.0ms
(/ (/ t (* z 3.0)) y)

simplify870.0ms

Counts
172 → 172
Iterations

Useful iterations: 2 (413.0ms)

IterNodesCost
02942228
16772113
219871993
done50001993

prune451.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

regimes119.0ms

Accuracy

80.5% (0.3b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 1.7b

bsearch113.0ms

Steps
ItersRangePoint
10
4.6138914274165986e+49
1.0286577002489468e+63
5.460978228047663e+49
8
-2.350670412092924e+26
-2.7994419072026865e+22
-3.1361300744902736e+22

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03257
14057
done4057

end0.0ms

sample654.0ms

Algorithm
intervals
Results
370.0ms11001×body80valid