Details

Time bar (total: 18.2s)

sample46.0ms

Algorithm
intervals
Results
23.0ms325×body80valid

simplify5.0s

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

localize8.0ms

Local error

Found 3 expressions with local error:

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

rewrite56.0ms

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:
10.0ms
(+ x (/ (* (- y x) z) t))
27.0ms
(* (- y x) z)
17.0ms
(/ (* (- y x) z) t)

series131.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(+ x (/ (* (- y x) z) t))
35.0ms
(* (- y x) z)
50.0ms
(/ (* (- y x) z) t)

simplify3.3s

Counts
66 → 66
Iterations

Useful iterations: 2 (136.0ms)

IterNodesCost
0110688
1283653
2993559
34874559
done5000559

prune194.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
8.0b
(/ (- y x) (/ t z))

rewrite106.0ms

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:
65.0ms
(+ x (/ (- y x) (/ t z)))
31.0ms
(/ (- y x) (/ t z))

series118.0ms

Counts
2 → 6
Calls
2 calls:
51.0ms
(+ x (/ (- y x) (/ t z)))
67.0ms
(/ (- y x) (/ t z))

simplify1.2s

Counts
120 → 120
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02171896
15941770
218471680
done50011678

prune285.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ 1 (/ (/ t z) (- y x))))
0.5b
(/ 1 (/ (/ t z) (- y x)))
8.0b
(/ (/ t z) (- y x))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
462×*-un-lft-identity
459×add-sqr-sqrt
327×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
33×div-inv
29×add-exp-log
18×div-exp
17×add-cbrt-cube
16×associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip-- add-log-exp
4×pow1
3×rec-exp 1-exp
2×frac-2neg clear-num distribute-lft-out
1×+-commutative pow-flip flip3-+ sum-log flip-+ associate-/l/ inv-pow
Counts
3 → 425
Calls
3 calls:
106.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
39.0ms
(/ 1 (/ (/ t z) (- y x)))
18.0ms
(/ (/ t z) (- y x))

series185.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
79.0ms
(/ 1 (/ (/ t z) (- y x)))
54.0ms
(/ (/ t z) (- y x))

simplify1.9s

Counts
434 → 434
Iterations

Useful iterations: done (1.9s)

IterNodesCost
05758555
113567415
229976509
done50016389

prune1.2s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite61.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*r*
4×pow1 distribute-rgt-in sub-neg associate-+r+ distribute-lft-in 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-- difference-of-squares
Counts
2 → 57
Calls
2 calls:
10.0ms
(+ x (* (/ z t) (- y x)))
48.0ms
(* (/ z t) (- y x))

series116.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(+ x (* (/ z t) (- y x)))
75.0ms
(* (/ z t) (- y x))

simplify2.6s

Counts
63 → 63
Iterations

Useful iterations: 2 (134.0ms)

IterNodesCost
0120723
1314691
21007619
33939619
done5000619

prune171.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes118.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
199
done99

end0.0ms

sample1.1s

Algorithm
intervals
Results
469.0ms10621×body80valid