Details

Time bar (total: 16.6s)

sample53.0ms

Algorithm
intervals
Results
23.0ms361×body80valid

simplify5.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01313
12613
28913
327813
474313
5159813
6204413
7215313
8215913
done215913

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.5b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* x y) (* (* z 9.0) t))
0.2b
(* (* z 9.0) t)
7.1b
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

rewrite67.0ms

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:
8.0ms
(- (* x y) (* (* z 9.0) t))
24.0ms
(* (* z 9.0) t)
33.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

series207.0ms

Counts
3 → 9
Calls
3 calls:
88.0ms
(- (* x y) (* (* z 9.0) t))
30.0ms
(* (* z 9.0) t)
90.0ms
(/ (- (* x y) (* (* z 9.0) t)) (* a 2.0))

simplify1.1s

Counts
63 → 63
Iterations

Useful iterations: 2 (265.0ms)

IterNodesCost
0116858
1328827
21593711
done5000711

prune200.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 7.1b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
0.2b
(* (* z 9.0) t)
5.6b
(/ (* x y) (* a 2.0))
5.7b
(/ (* (* z 9.0) t) (* a 2.0))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log add-cbrt-cube
16×prod-exp cbrt-unprod
10×cbrt-undiv div-exp
9×pow1
7×add-sqr-sqrt *-un-lft-identity
6×add-log-exp
5×add-cube-cbrt
4×div-inv
3×associate-*r* pow-prod-down
2×frac-2neg times-frac clear-num associate-/r* associate-/l*
1×sub-neg flip3-- distribute-rgt-out-- diff-log associate-*l* *-commutative frac-sub flip-- distribute-lft-out-- sub-div difference-of-squares
Counts
4 → 81
Calls
4 calls:
33.0ms
(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
17.0ms
(* (* z 9.0) t)
13.0ms
(/ (* x y) (* a 2.0))
29.0ms
(/ (* (* z 9.0) t) (* a 2.0))

series257.0ms

Counts
4 → 12
Calls
4 calls:
166.0ms
(- (/ (* x y) (* a 2.0)) (/ (* (* z 9.0) t) (* a 2.0)))
22.0ms
(* (* z 9.0) t)
34.0ms
(/ (* x y) (* a 2.0))
35.0ms
(/ (* (* z 9.0) t) (* a 2.0))

simplify1.4s

Counts
93 → 93
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01491327
14531256
231291040
done50021036

prune262.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.3b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* x y) (* a 2.0)) (* (/ (* z 9.0) a) (/ t 2.0)))
0.2b
(/ (* z 9.0) a)
4.2b
(* (/ (* z 9.0) a) (/ t 2.0))
5.6b
(/ (* x y) (* a 2.0))

rewrite114.0ms

Algorithm
rewrite-expression-head
Rules
42×add-exp-log add-cbrt-cube
20×add-sqr-sqrt
17×times-frac
15×add-cube-cbrt *-un-lft-identity
13×cbrt-undiv div-exp associate-*r* prod-exp cbrt-unprod
7×associate-*l*
6×pow1 add-log-exp
4×associate-/r* div-inv
3×frac-times frac-sub
2×frac-2neg associate-*r/ associate-*l/ clear-num associate-/l* unswap-sqr
1×sub-neg flip3-- diff-log pow-prod-down *-commutative flip-- sub-div
Counts
4 → 104
Calls
4 calls:
40.0ms
(- (/ (* x y) (* a 2.0)) (* (/ (* z 9.0) a) (/ t 2.0)))
10.0ms
(/ (* z 9.0) a)
39.0ms
(* (/ (* z 9.0) a) (/ t 2.0))
21.0ms
(/ (* x y) (* a 2.0))

series273.0ms

Counts
4 → 12
Calls
4 calls:
171.0ms
(- (/ (* x y) (* a 2.0)) (* (/ (* z 9.0) a) (/ t 2.0)))
28.0ms
(/ (* z 9.0) a)
41.0ms
(* (/ (* z 9.0) a) (/ t 2.0))
34.0ms
(/ (* x y) (* a 2.0))

simplify2.5s

Counts
116 → 116
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02071578
16461495
243491275
done50001255

prune421.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize27.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* (/ x a) (/ y 2.0)) (* (/ (* z 9.0) a) (/ t 2.0)))
0.2b
(/ (* z 9.0) a)
4.1b
(* (/ x a) (/ y 2.0))
4.2b
(* (/ (* z 9.0) a) (/ t 2.0))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
42×add-exp-log add-cbrt-cube
38×times-frac
29×add-cube-cbrt *-un-lft-identity
26×associate-*r*
20×associate-*l*
13×cbrt-undiv div-exp prod-exp cbrt-unprod
10×frac-times associate-*r/ associate-*l/
9×frac-sub
8×pow1
6×add-log-exp unswap-sqr
5×div-inv
3×associate-/r* sub-div
2×pow-prod-down *-commutative
1×sub-neg flip3-- frac-2neg diff-log clear-num flip-- associate-/l*
Counts
4 → 141
Calls
4 calls:
25.0ms
(- (* (/ x a) (/ y 2.0)) (* (/ (* z 9.0) a) (/ t 2.0)))
13.0ms
(/ (* z 9.0) a)
50.0ms
(* (/ x a) (/ y 2.0))
39.0ms
(* (/ (* z 9.0) a) (/ t 2.0))

series237.0ms

Counts
4 → 12
Calls
4 calls:
115.0ms
(- (* (/ x a) (/ y 2.0)) (* (/ (* z 9.0) a) (/ t 2.0)))
34.0ms
(/ (* z 9.0) a)
37.0ms
(* (/ x a) (/ y 2.0))
51.0ms
(* (/ (* z 9.0) a) (/ t 2.0))

simplify415.0ms

Counts
153 → 153
Iterations

Useful iterations: done (410.0ms)

IterNodesCost
02802010
18821917
done50011691

prune504.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

regimes935.0ms

Accuracy

86.5% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 7.9b

bsearch1.0ms

simplify4.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
03473
14273
done4273

end0.0ms

sample2.1s

Algorithm
intervals
Results
847.0ms11019×body80valid