Details

Time bar (total: 2.5s)

sample21.0ms

Algorithm
intervals
Results
7.0ms306×body80valid

simplify92.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (6.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012
done50012

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 8.3b

localize4.0ms

Local error

Found 1 expressions with local error:

8.0b
(* x (/ y z))

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt
13×associate-*r*
10×times-frac
9×add-cube-cbrt *-un-lft-identity
6×add-exp-log add-cbrt-cube
3×pow1 associate-*l*
2×prod-exp cbrt-unprod unswap-sqr
1×cbrt-undiv expm1-log1p-u associate-*r/ div-exp pow-prod-down *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
13.0ms
(* x (/ y z))

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(* x (/ y z))

simplify73.0ms

Counts
37 → 37
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0168139
1746124
23155124
35002124
done5002124

prune90.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
4.6b
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
22×associate-*r*
20×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
18×cbrt-prod times-frac add-cbrt-cube
13×pow1
12×prod-exp cbrt-unprod
6×pow-prod-down
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×cbrt-undiv pow1/3 div-exp
1×associate-*r/ associate-*l* *-commutative div-inv
Counts
4 → 88
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
88.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

series631.0ms

Counts
4 → 12
Calls
4 calls:
195.0ms
(cbrt y)
191.0ms
(cbrt y)
196.0ms
(cbrt y)
48.0ms
(* (* (* (cbrt y) (cbrt y)) x) (/ (cbrt y) z))

simplify72.0ms

Counts
100 → 100
Iterations

Useful iterations: 2 (58.0ms)

IterNodesCost
0360607
12037471
25002432
done5002432

prune253.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

5.5b
(/ (* x y) z)

rewrite10.0ms

Algorithm
rewrite-expression-head
Rules
6×add-exp-log add-cbrt-cube
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac associate-/r*
2×cbrt-undiv div-exp
1×pow1 expm1-log1p-u frac-2neg prod-exp clear-num cbrt-unprod log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 23
Calls
1 calls:
10.0ms
(/ (* x y) z)

series22.0ms

Counts
1 → 3
Calls
1 calls:
22.0ms
(/ (* x y) z)

simplify64.0ms

Counts
26 → 26
Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
011391
151676
2247376
3500276
done500276

prune63.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize5.0ms

Local error

Found 1 expressions with local error:

5.6b
(* (* x y) (/ 1 z))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
23×add-exp-log
13×associate-*r* add-cbrt-cube
12×prod-exp
9×times-frac
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×pow1 cbrt-unprod
4×div-exp
3×pow-prod-down
2×cbrt-undiv rec-exp 1-exp
1×expm1-log1p-u associate-*r/ associate-*l* un-div-inv *-commutative log1p-expm1-u div-inv add-log-exp
Counts
1 → 40
Calls
1 calls:
27.0ms
(* (* x y) (/ 1 z))

series23.0ms

Counts
1 → 3
Calls
1 calls:
23.0ms
(* (* x y) (/ 1 z))

simplify38.0ms

Counts
43 → 43
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0246191
11261149
25001135
done5001135

prune58.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes193.0ms

Accuracy

95% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 6.3b

bsearch1.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03221
13221
done3221

end0.0ms

sample578.0ms

Algorithm
intervals
Results
245.0ms9609×body80valid