Details

Time bar (total: 10.8s)

sample17.0ms

Algorithm
intervals
Results
7.0ms334×body80valid

simplify42.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1167
2217
3327
4357
5417
6457
7537
8557
done557

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.7b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
11.0b
(/ (* x (+ y z)) z)

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
9×add-exp-log add-cbrt-cube
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r/ associate-*r*
3×times-frac associate-*l* associate-/r*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ associate-/l/ add-log-exp
1×distribute-rgt-in frac-2neg distribute-lft-in pow-prod-down clear-num *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
10.0ms
(* x (+ y z))
6.0ms
(/ (* x (+ y z)) z)

series63.0ms

Counts
2 → 6
Calls
2 calls:
25.0ms
(* x (+ y z))
38.0ms
(/ (* x (+ y z)) z)

simplify1.6s

Counts
52 → 52
Iterations

Useful iterations: 2 (73.0ms)

IterNodesCost
085458
1225434
2723376
33133376
done5000376

prune95.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
2.7b
(/ x (/ z (+ y z)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
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 → 123
Calls
2 calls:
5.0ms
(/ z (+ y z))
9.0ms
(/ x (/ z (+ y z)))

series87.0ms

Counts
2 → 6
Calls
2 calls:
43.0ms
(/ z (+ y z))
44.0ms
(/ x (/ z (+ y z)))

simplify1.7s

Counts
129 → 129
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01871758
14141632
213401564
done50001558

prune237.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize5.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ y z) z)
2.9b
(* x (/ (+ y z) z))

rewrite27.0ms

Algorithm
rewrite-expression-head
Rules
34×*-un-lft-identity
25×add-sqr-sqrt times-frac
20×add-cube-cbrt
16×associate-*r*
9×add-exp-log add-cbrt-cube
7×distribute-lft-out
4×pow1 associate-/l*
3×associate-*l* associate-/r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ add-log-exp unswap-sqr
1×frac-2neg flip3-+ associate-*r/ pow-prod-down clear-num *-commutative flip-+
Counts
2 → 68
Calls
2 calls:
10.0ms
(/ (+ y z) z)
14.0ms
(* x (/ (+ y z) z))

series52.0ms

Counts
2 → 6
Calls
2 calls:
17.0ms
(/ (+ y z) z)
35.0ms
(* x (/ (+ y z) z))

simplify2.3s

Counts
74 → 74
Iterations

Useful iterations: 2 (83.0ms)

IterNodesCost
097719
1233681
2619619
31918619
done5001619

prune127.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize6.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
11.1b
(* (* x (+ y z)) (/ 1 z))

rewrite30.0ms

Algorithm
rewrite-expression-head
Rules
26×add-exp-log
17×associate-*r*
16×add-cbrt-cube
13×add-sqr-sqrt *-un-lft-identity prod-exp
11×add-cube-cbrt
9×pow1 times-frac
7×associate-*r/ cbrt-unprod
4×div-exp associate-*l* pow-prod-down
3×flip3-+ flip-+
2×cbrt-undiv frac-times rec-exp 1-exp associate-*l/ *-commutative add-log-exp
1×distribute-rgt-in distribute-lft-in un-div-inv div-inv distribute-lft-out unswap-sqr
Counts
2 → 65
Calls
2 calls:
9.0ms
(* x (+ y z))
18.0ms
(* (* x (+ y z)) (/ 1 z))

series62.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* x (+ y z))
35.0ms
(* (* x (+ y z)) (/ 1 z))

simplify3.7s

Counts
71 → 71
Iterations

Useful iterations: 2 (203.0ms)

IterNodesCost
0123771
1366659
21259537
34847537
done5000537

prune99.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes69.0ms

Accuracy

3.6% (2.9b remaining)

Error of 2.9b against oracle of 0.0b and baseline of 3.0b

bsearch65.0ms

Steps
ItersRangePoint
9
1.6769806055412083e-25
1.1101557034144592e-16
1.5164738101784048e-21
10
-1.51016986433691e-123
-2.1754758723124614e-141
-1.5447905988096068e-136

simplify5.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01831
12431
done2431

end0.0ms

sample394.0ms

Algorithm
intervals
Results
201.0ms9616×body80valid