Details

Time bar (total: 2.5s)

sample24.0ms

Algorithm
intervals
Results
10.0ms298×body80valid

simplify92.0ms

Counts
1 → 1
Iterations

Useful iterations: 2 (5.0ms)

IterNodesCost
0164
1423
21092
35772
444382
550012
done50012

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.8b

localize4.0ms

Local error

Found 1 expressions with local error:

6.6b
(* 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:
14.0ms
(* x (/ y z))

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(* x (/ y z))

simplify75.0ms

Counts
37 → 37
Iterations

Useful iterations: 1 (7.0ms)

IterNodesCost
0168139
1746124
23155124
35002124
done5002124

prune91.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt z)
0.6b
(cbrt z)
0.6b
(cbrt z)
5.8b
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

rewrite54.0ms

Algorithm
rewrite-expression-head
Rules
38×add-sqr-sqrt
28×times-frac
25×add-exp-log
22×add-cube-cbrt *-un-lft-identity associate-*r*
20×cbrt-prod
18×add-cbrt-cube
8×prod-exp cbrt-unprod
7×cbrt-undiv div-exp associate-*l*
6×pow1 unswap-sqr
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×pow1/3
2×div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 100
Calls
4 calls:
1.0ms
(cbrt z)
1.0ms
(cbrt z)
1.0ms
(cbrt z)
48.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

series652.0ms

Counts
4 → 12
Calls
4 calls:
197.0ms
(cbrt z)
204.0ms
(cbrt z)
193.0ms
(cbrt z)
57.0ms
(* (/ x (* (cbrt z) (cbrt z))) (/ y (cbrt z)))

simplify61.0ms

Counts
112 → 112
Iterations

Useful iterations: 2 (54.0ms)

IterNodesCost
0424748
12233609
25001570
done5001570

prune304.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize6.0ms

Local error

Found 1 expressions with local error:

6.9b
(/ (* x y) z)

rewrite11.0ms

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)

series24.0ms

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

simplify64.0ms

Counts
26 → 26
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
011391
151676
2247376
3500276
done500276

prune60.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

localize7.0ms

Local error

Found 1 expressions with local error:

7.0b
(* (* x y) (/ 1 z))

rewrite30.0ms

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:
28.0ms
(* (* x y) (/ 1 z))

series25.0ms

Counts
1 → 3
Calls
1 calls:
25.0ms
(* (* x y) (/ 1 z))

simplify38.0ms

Counts
43 → 43
Iterations

Useful iterations: 2 (35.0ms)

IterNodesCost
0246191
11261149
25001135
done5001135

prune66.0ms

Pruning

7 alts after pruning (3 fresh and 4 done)

Merged error: 0b

regimes224.0ms

Accuracy

93.1% (0.5b remaining)

Error of 0.5b against oracle of 0.0b and baseline of 6.6b

bsearch1.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03119
13519
23519
done3519

end0.0ms

sample573.0ms

Algorithm
intervals
Results
247.0ms9585×body80valid