Details

Time bar (total: 14.9s)

sample34.0ms

Algorithm
intervals
Results
12.0ms323×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1117
2227
3427
4657
5917
62197
75797
816347
948567
done50007

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
12.4b
(/ (* x (- y z)) y)

rewrite72.0ms

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-*r*
4×pow1 associate-*r/
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in 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 → 49
Calls
2 calls:
40.0ms
(* x (- y z))
29.0ms
(/ (* x (- y z)) y)

series142.0ms

Counts
2 → 6
Calls
2 calls:
62.0ms
(* x (- y z))
79.0ms
(/ (* x (- y z)) y)

simplify1.0s

Counts
55 → 55
Iterations

Useful iterations: done (1.0s)

IterNodesCost
090481
1236457
2976407
done5000399

prune241.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.9b
(/ x (/ y (- y z)))

rewrite64.0ms

Algorithm
rewrite-expression-head
Rules
138×times-frac
102×add-sqr-sqrt *-un-lft-identity
70×add-cube-cbrt
26×associate-/r*
16×distribute-lft-out-- difference-of-squares
11×associate-/r/
9×add-exp-log add-cbrt-cube
6×div-inv associate-/l*
5×flip3-- flip--
4×cbrt-undiv div-exp
2×pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
25.0ms
(/ y (- y z))
26.0ms
(/ x (/ y (- y z)))

series155.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(/ y (- y z))
78.0ms
(/ x (/ y (- y z)))

simplify1.4s

Counts
145 → 145
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02182050
15601936
228181850
done50011842

prune885.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
3.4b
(* x (/ (- y z) y))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out-- difference-of-squares
5×associate-/l*
4×pow1
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
35.0ms
(/ (- y z) y)
61.0ms
(* x (/ (- y z) y))

series140.0ms

Counts
2 → 6
Calls
2 calls:
50.0ms
(/ (- y z) y)
90.0ms
(* x (/ (- y z) y))

simplify1.0s

Counts
82 → 82
Iterations

Useful iterations: 2 (284.0ms)

IterNodesCost
0111813
1282777
21271714
done5001714

prune490.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize26.0ms

Local error

Found 2 expressions with local error:

0.2b
(* (- y z) (/ 1 y))
3.4b
(* x (* (- y z) (/ 1 y)))

rewrite138.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
20×add-sqr-sqrt
16×add-cbrt-cube
14×*-un-lft-identity associate-*r*
13×prod-exp
11×add-cube-cbrt times-frac
9×pow1
8×associate-*r/ associate-*l*
7×cbrt-unprod
4×frac-times flip3-- div-exp pow-prod-down associate-*l/ flip--
3×unswap-sqr
2×cbrt-undiv rec-exp 1-exp un-div-inv *-commutative add-log-exp
1×div-inv distribute-lft-out-- difference-of-squares
Counts
2 → 70
Calls
2 calls:
56.0ms
(* (- y z) (/ 1 y))
77.0ms
(* x (* (- y z) (/ 1 y)))

series151.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(* (- y z) (/ 1 y))
89.0ms
(* x (* (- y z) (/ 1 y)))

simplify4.6s

Counts
76 → 76
Iterations

Useful iterations: done (4.6s)

IterNodesCost
0127845
1343768
22426573
done5001561

prune313.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes216.0ms

Accuracy

17.1% (2.6b remaining)

Error of 2.6b against oracle of 0.0b and baseline of 3.1b

bsearch82.0ms

Steps
ItersRangePoint
8
6.194200398401266e-275
2.408977720957887e-270
1.7856545451239248e-270
7
-1.6231300753246685e+120
-9.340199616080702e+118
-1.153708350718751e+119

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01529
11923
done1923

end0.0ms

sample1.1s

Algorithm
intervals
Results
416.0ms9516×body80valid