Details

Time bar (total: 12.2s)

sample39.0ms

Algorithm
intervals
Results
17.0ms350×body80valid

simplify4.2s

Counts
1 → 1
Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
089
1149
2289
3479
4779
51019
61219
71289
81449
91899
102829
114239
124619
135259
146429
158709
1611809
1717699
1823369
1923949
done23949

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.7b

localize6.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* (- y x) z) t))
0.0b
(* (- y x) z)
9.3b
(/ (* (- y x) z) t)

rewrite23.0ms

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:
4.0ms
(+ x (/ (* (- y x) z) t))
10.0ms
(* (- y x) z)
6.0ms
(/ (* (- y x) z) t)

series107.0ms

Counts
3 → 9
Calls
3 calls:
35.0ms
(+ x (/ (* (- y x) z) t))
31.0ms
(* (- y x) z)
41.0ms
(/ (* (- y x) z) t)

simplify1.3s

Counts
66 → 66
Iterations

Useful iterations: 2 (112.0ms)

IterNodesCost
0110688
1284653
2935559
done5001559

prune136.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- y x) (/ t z)))
6.7b
(/ (- y x) (/ t z))

rewrite47.0ms

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:
27.0ms
(+ x (/ (- y x) (/ t z)))
13.0ms
(/ (- y x) (/ t z))

series79.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ x (/ (- y x) (/ t z)))
46.0ms
(/ (- y x) (/ t z))

simplify833.0ms

Counts
120 → 120
Iterations

Useful iterations: 2 (286.0ms)

IterNodesCost
02171896
16071770
217741680
done50001680

prune280.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (* (- y x) (/ z t)))
6.5b
(* (- y x) (/ z t))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
10×add-cube-cbrt times-frac
7×add-exp-log add-cbrt-cube
5×associate-*l*
4×pow1 add-log-exp
2×frac-times flip3-- associate-*l/ prod-exp flip-- cbrt-unprod unswap-sqr
1×cbrt-undiv +-commutative flip3-+ associate-*r/ div-exp pow-prod-down sum-log *-commutative flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 49
Calls
2 calls:
3.0ms
(+ x (* (- y x) (/ z t)))
17.0ms
(* (- y x) (/ z t))

series74.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ x (* (- y x) (/ z t)))
41.0ms
(* (- y x) (/ z t))

simplify2.7s

Counts
55 → 55
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
0115669
1297627
21058581
34936557
done5000557

prune132.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (pow (/ z (/ t (- y x))) 1))
0.0b
(/ t (- y x))
8.1b
(/ z (/ t (- y x)))

rewrite89.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
105×*-un-lft-identity
103×add-sqr-sqrt
71×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
10×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip-- add-log-exp
4×cbrt-undiv div-exp
3×pow1
2×frac-2neg clear-num
1×+-commutative flip3-+ sum-log flip-+ distribute-lft-out
Counts
3 → 151
Calls
3 calls:
63.0ms
(+ x (pow (/ z (/ t (- y x))) 1))
5.0ms
(/ t (- y x))
12.0ms
(/ z (/ t (- y x)))

series117.0ms

Counts
3 → 9
Calls
3 calls:
34.0ms
(+ x (pow (/ z (/ t (- y x))) 1))
31.0ms
(/ t (- y x))
52.0ms
(/ z (/ t (- y x)))

simplify882.0ms

Counts
160 → 160
Iterations

Useful iterations: 2 (290.0ms)

IterNodesCost
02452329
15472130
218432050
done50002050

prune406.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes95.0ms

Accuracy

0% (1.7b remaining)

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

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
089
199
done99

end0.0ms

sample551.0ms

Algorithm
intervals
Results
276.0ms10762×body80valid