Details

Time bar (total: 17.2s)

sample38.0ms

Algorithm
intervals
Results
19.0ms341×body80valid

simplify4.6s

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.4b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
9×add-exp-log add-cbrt-cube
8×*-un-lft-identity
6×add-cube-cbrt
5×associate-*l*
4×pow1 associate-*l/
3×times-frac associate-*r* associate-/r*
2×cbrt-undiv flip3-- div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
1×frac-2neg pow-prod-down clear-num *-commutative div-inv associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 45
Calls
2 calls:
22.0ms
(* (- y x) z)
35.0ms
(/ (* (- y x) z) t)

series82.0ms

Counts
2 → 6
Calls
2 calls:
34.0ms
(* (- y x) z)
48.0ms
(/ (* (- y x) z) t)

simplify2.8s

Counts
51 → 51
Iterations

Useful iterations: 2 (118.0ms)

IterNodesCost
091459
1224447
2814369
33808369
done5000369

prune148.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.5b
(cbrt t)
0.5b
(cbrt t)
0.5b
(cbrt t)
3.6b
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

rewrite79.0ms

Algorithm
rewrite-expression-head
Rules
40×add-sqr-sqrt
30×times-frac
25×add-exp-log
24×*-un-lft-identity
22×add-cube-cbrt associate-*r*
20×cbrt-prod
18×add-cbrt-cube
9×associate-*l*
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp
6×pow1 unswap-sqr
4×add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 94
Calls
4 calls:
1.0ms
(cbrt t)
1.0ms
(cbrt t)
1.0ms
(cbrt t)
70.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

series855.0ms

Counts
4 → 12
Calls
4 calls:
232.0ms
(cbrt t)
242.0ms
(cbrt t)
282.0ms
(cbrt t)
98.0ms
(* (/ (- y x) (* (cbrt t) (cbrt t))) (/ z (cbrt t)))

simplify1.1s

Counts
106 → 106
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01511411
14351355
218151035
done5000944

prune306.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

8.5b
(/ (- y x) (/ t z))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
85×add-sqr-sqrt *-un-lft-identity
57×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×div-inv
6×add-exp-log add-cbrt-cube
5×associate-/l*
3×cbrt-undiv div-exp
2×associate-/l/
1×pow1 flip3-- frac-2neg div-sub clear-num associate-/r/ flip-- add-log-exp
Counts
1 → 101
Calls
1 calls:
21.0ms
(/ (- y x) (/ t z))

series80.0ms

Counts
1 → 3
Calls
1 calls:
80.0ms
(/ (- y x) (/ t z))

simplify1.5s

Counts
104 → 104
Iterations

Useful iterations: done (1.5s)

IterNodesCost
01951660
15241557
216451483
done50001481

prune387.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ 1 (/ (/ t z) (- y x)))
8.5b
(/ (/ t z) (- y x))

rewrite100.0ms

Algorithm
rewrite-expression-head
Rules
772×times-frac
458×add-sqr-sqrt *-un-lft-identity
326×add-cube-cbrt
76×associate-/r*
66×distribute-lft-out-- difference-of-squares
32×div-inv
28×add-exp-log
18×div-exp
16×add-cbrt-cube associate-/l*
11×associate-/r/
9×cbrt-undiv
5×flip3-- flip--
3×pow1 rec-exp 1-exp
2×frac-2neg clear-num add-log-exp
1×pow-flip associate-/l/ inv-pow
Counts
2 → 412
Calls
2 calls:
42.0ms
(/ 1 (/ (/ t z) (- y x)))
27.0ms
(/ (/ t z) (- y x))

series146.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(/ 1 (/ (/ t z) (- y x)))
65.0ms
(/ (/ t z) (- y x))

simplify2.1s

Counts
418 → 418
Iterations

Useful iterations: done (2.1s)

IterNodesCost
05568277
112977166
228226310
done50006190

prune1.0s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes231.0ms

Accuracy

61.5% (0.8b remaining)

Error of 0.8b against oracle of 0.0b and baseline of 2.1b

bsearch1.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02051
12551
done2551

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s10685×body80valid