Details

Time bar (total: 22.4s)

sample35.0ms

Algorithm
intervals
Results
22.0ms339×body80valid

simplify5.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
1149
2289
3489
4799
51209
61379
71469
81639
92119
102879
113279
123719
133899
144769
155679
168169
1711459
1815699
1916529
2016549
done16549

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
6.6b
(/ (* (- y x) z) t)

rewrite91.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 associate-*l* add-log-exp
4×associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/
1×+-commutative frac-2neg flip3-+ pow-prod-down clear-num sum-log *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 57
Calls
3 calls:
20.0ms
(+ x (/ (* (- y x) z) t))
49.0ms
(* (- y x) z)
19.0ms
(/ (* (- y x) z) t)

series173.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ x (/ (* (- y x) z) t))
60.0ms
(* (- y x) z)
61.0ms
(/ (* (- y x) z) t)

simplify4.2s

Counts
66 → 66
Iterations

Useful iterations: 2 (257.0ms)

IterNodesCost
0110688
1283653
2993559
34874559
done5000559

prune213.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
7.6b
(/ (- y x) (/ t z))

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-exp-log add-cbrt-cube div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub associate-/l/
1×+-commutative associate-+r- flip3-- frac-2neg flip3-+ clear-num sum-log associate-/r/ flip-- flip-+ distribute-lft-out
Counts
2 → 114
Calls
2 calls:
56.0ms
(+ x (/ (- y x) (/ t z)))
36.0ms
(/ (- y x) (/ t z))

series130.0ms

Counts
2 → 6
Calls
2 calls:
68.0ms
(+ x (/ (- y x) (/ t z)))
62.0ms
(/ (- y x) (/ t z))

simplify1.7s

Counts
120 → 120
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02171896
15941770
218471680
done50011678

prune416.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* 1 (* (/ z t) (- y x))))
7.7b
(* (/ z t) (- y x))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×*-un-lft-identity associate-*l*
10×distribute-rgt-in add-cube-cbrt distribute-lft-in times-frac
8×associate-+r+
7×add-exp-log add-cbrt-cube
6×sub-neg
5×associate-*r*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ div-exp pow-prod-down associate-*l/ sum-log *-commutative flip-+ div-inv distribute-lft-out distribute-lft-out-- difference-of-squares
Counts
2 → 62
Calls
2 calls:
22.0ms
(+ x (* 1 (* (/ z t) (- y x))))
52.0ms
(* (/ z t) (- y x))

series139.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ x (* 1 (* (/ z t) (- y x))))
93.0ms
(* (/ z t) (- y x))

simplify3.7s

Counts
68 → 68
Iterations

Useful iterations: 2 (276.0ms)

IterNodesCost
0130812
1339728
21049656
34031656
done5000656

prune198.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (* 1 (* z (/ (- y x) t))))
0.0b
(/ (- y x) t)
6.3b
(* z (/ (- y x) t))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
42×add-sqr-sqrt
38×*-un-lft-identity
31×times-frac
23×add-cube-cbrt
19×associate-*r*
10×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×pow1 associate-/l* add-log-exp
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×+-commutative flip3-- frac-2neg flip3-+ div-sub associate-*r/ pow-prod-down clear-num sum-log *-commutative flip-- flip-+ distribute-lft-out
Counts
3 → 88
Calls
3 calls:
12.0ms
(+ x (* 1 (* z (/ (- y x) t))))
28.0ms
(/ (- y x) t)
36.0ms
(* z (/ (- y x) t))

series174.0ms

Counts
3 → 9
Calls
3 calls:
49.0ms
(+ x (* 1 (* z (/ (- y x) t))))
48.0ms
(/ (- y x) t)
78.0ms
(* z (/ (- y x) t))

simplify3.8s

Counts
97 → 97
Iterations

Useful iterations: 3 (2.1s)

IterNodesCost
01411096
1353989
21038923
34115899
done5000899

prune311.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes34.0ms

Accuracy

0% (1.6b remaining)

Error of 1.6b against oracle of 0.0b and baseline of 1.6b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
199
done99

end0.0ms

sample1.1s

Algorithm
intervals
Results
628.0ms10667×body80valid