Details

Time bar (total: 20.7s)

sample26.0ms

Algorithm
intervals
Results
10.0ms325×body80valid

simplify4.9s

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

localize7.0ms

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)

rewrite57.0ms

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))
22.0ms
(* (- y x) z)
23.0ms
(/ (* (- y x) z) t)

series127.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(+ x (/ (* (- y x) z) t))
33.0ms
(* (- y x) z)
52.0ms
(/ (* (- y x) z) t)

simplify3.7s

Counts
66 → 66
Iterations

Useful iterations: 2 (191.0ms)

IterNodesCost
0110688
1283653
2993559
34874559
done5000559

prune172.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

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

rewrite111.0ms

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:
68.0ms
(+ x (/ (- y x) (/ t z)))
34.0ms
(/ (- y x) (/ t z))

series121.0ms

Counts
2 → 6
Calls
2 calls:
57.0ms
(+ x (/ (- y x) (/ t z)))
64.0ms
(/ (- y x) (/ t z))

simplify1.2s

Counts
120 → 120
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02171896
15941770
218471680
done50011678

prune495.0ms

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:
104.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
40.0ms
(/ 1 (/ (/ t z) (- y x)))
20.0ms
(/ (/ t z) (- y x))

series183.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ x (/ 1 (/ (/ t z) (- y x))))
77.0ms
(/ 1 (/ (/ t z) (- y x)))
65.0ms
(/ (/ t z) (- y x))

simplify2.2s

Counts
434 → 434
Iterations

Useful iterations: done (2.2s)

IterNodesCost
05758555
113567415
229976509
done50016389

prune1.1s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* 1 (* (/ z t) (- y x))))
7.6b
(* (/ z t) (- y x))

rewrite70.0ms

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:
21.0ms
(+ x (* 1 (* (/ z t) (- y x))))
43.0ms
(* (/ z t) (- y x))

series175.0ms

Counts
2 → 6
Calls
2 calls:
70.0ms
(+ x (* 1 (* (/ z t) (- y x))))
105.0ms
(* (/ z t) (- y x))

simplify3.9s

Counts
68 → 68
Iterations

Useful iterations: 2 (241.0ms)

IterNodesCost
0130812
1339728
21049656
34031656
done5000656

prune246.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes168.0ms

Accuracy

0% (2.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
199
done99

end0.0ms

sample1.5s

Algorithm
intervals
Results
594.0ms10621×body80valid