Details

Time bar (total: 7.9s)

sample28.0ms

Algorithm
intervals
Results
10.0ms309×body80valid

simplify1.7s

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: 10.5b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (- y z))
10.0b
(/ (* x (- y z)) y)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
add-exp-log add-cbrt-cube
*-un-lft-identity
add-cube-cbrt
associate-*r*
pow1 associate-*r/
times-frac associate-*l* associate-/r*
cbrt-undiv distribute-rgt-in sub-neg flip3-- distribute-lft-in div-exp prod-exp flip-- cbrt-unprod associate-/l/ add-log-exp
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))
26.0ms
(/ (* x (- y z)) y)

series124.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(* x (- y z))
70.0ms
(/ (* x (- y z)) y)

simplify699.0ms

Counts
55 → 55
Iterations

Useful iterations: done (697.0ms)

IterNodesCost
090481
1236457
2976407
done5000399

prune192.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ y (- y z))
2.8b
(/ x (/ y (- y z)))

rewrite62.0ms

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/
add-exp-log add-cbrt-cube
div-inv associate-/l*
flip3-- flip--
cbrt-undiv div-exp
pow1 frac-2neg clear-num add-log-exp
Counts
2 → 139
Calls
2 calls:
23.0ms
(/ y (- y z))
27.0ms
(/ x (/ y (- y z)))

series132.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ y (- y z))
70.0ms
(/ x (/ y (- y z)))

simplify1.1s

Counts
145 → 145
Iterations

Useful iterations: done (1.0s)

IterNodesCost
02182050
15601936
228181850
done50011842

prune536.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (- y z) y)
3.2b
(* x (/ (- y z) y))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
41×add-sqr-sqrt
36×*-un-lft-identity
31×times-frac
22×add-cube-cbrt
19×associate-*r*
add-exp-log add-cbrt-cube
distribute-lft-out-- difference-of-squares
associate-/l*
pow1
associate-*l* associate-/r*
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
flip3-- frac-2neg div-sub associate-*r/ pow-prod-down clear-num *-commutative flip--
Counts
2 → 76
Calls
2 calls:
24.0ms
(/ (- y z) y)
41.0ms
(* x (/ (- y z) y))

series101.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(/ (- y z) y)
61.0ms
(* x (/ (- y z) y))

simplify654.0ms

Counts
82 → 82
Iterations

Useful iterations: 2 (161.0ms)

IterNodesCost
0111813
1282777
21271714
done5001714

prune253.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize11.0ms

Local error

Found 1 expressions with local error:

10.5b
(* (/ x y) (- y z))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
13×associate-*l*
11×*-un-lft-identity
10×times-frac
add-cube-cbrt
add-exp-log add-cbrt-cube
associate-*r*
pow1
distribute-rgt-in frac-times sub-neg flip3-- distribute-lft-in associate-*r/ prod-exp flip-- cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp difference-of-squares
Counts
1 → 42
Calls
1 calls:
41.0ms
(* (/ x y) (- y z))

series60.0ms

Counts
1 → 3
Calls
1 calls:
60.0ms
(* (/ x y) (- y z))

simplify798.0ms

Counts
45 → 45
Iterations

Useful iterations: done (797.0ms)

IterNodesCost
094463
1249452
21170410
done5000402

prune166.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes263.0ms

Accuracy

82.5% (0.6b remaining)

Error of 0.6b against oracle of 0.0b and baseline of 3.2b

bsearch1.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
02275
12475
done2475

end0.0ms

sample908.0ms

Algorithm
intervals
Results
433.0ms9569×body80valid