Details

Time bar (total: 11.5s)

sample23.0ms

Algorithm
intervals
Results
12.0ms256×body80valid

simplify34.0ms

Counts
1 → 1
Iterations
IterNodes
done26
526
425
323
220
115
09

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 1 expressions with local error:

6.2b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
21.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series95.0ms

Counts
1 → 3
Calls
1 calls:
95.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify1.5s

Counts
37 → 37
Iterations
IterNodes
done5001
32544
2711
1217
090

prune136.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize23.0ms

Local error

Found 2 expressions with local error:

0.2b
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
6.0b
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

rewrite73.0ms

Algorithm
rewrite-expression-head
Rules
35×*-un-lft-identity
27×add-sqr-sqrt
26×times-frac
20×add-cube-cbrt
18×associate-*r*
15×add-exp-log
9×add-cbrt-cube
7×distribute-lft-out
5×pow1
4×associate-/r* div-exp prod-exp associate-/r/
3×associate-*l* associate-/l* unswap-sqr
2×cbrt-undiv rec-exp flip3-+ 1-exp cbrt-unprod flip-+ insert-posit16 div-inv add-log-exp
1×clear-num frac-2neg pow-prod-down associate-*r/ un-div-inv *-commutative pow-flip inv-pow
Counts
2 → 80
Calls
2 calls:
20.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
49.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

series155.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(/ 1 (+ 1.0 (/ (* x y) 2.0)))
88.0ms
(* y (/ 1 (+ 1.0 (/ (* x y) 2.0))))

simplify2.4s

Counts
86 → 86
Iterations
IterNodes
done5004
34760
21229
1367
0142

prune281.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0b

localize19.0ms

Local error

Found 1 expressions with local error:

6.2b
(/ y (+ 1.0 (/ (* x y) 2.0)))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
18×*-un-lft-identity
12×times-frac
10×add-sqr-sqrt add-cube-cbrt
4×associate-/r* distribute-lft-out
3×add-cbrt-cube add-exp-log associate-/l*
2×associate-/r/
1×pow1 cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ insert-posit16 div-inv add-log-exp
Counts
1 → 34
Calls
1 calls:
20.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

series81.0ms

Counts
1 → 3
Calls
1 calls:
81.0ms
(/ y (+ 1.0 (/ (* x y) 2.0)))

simplify1.6s

Counts
37 → 37
Iterations
IterNodes
done5001
32544
2711
1217
090

prune123.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 4 expressions with local error:

1.5b
(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
6.4b
(cbrt (+ 1.0 (/ (* x y) 2.0)))
6.4b
(cbrt (+ 1.0 (/ (* x y) 2.0)))
6.4b
(cbrt (+ 1.0 (/ (* x y) 2.0)))

rewrite215.0ms

Algorithm
rewrite-expression-head
Rules
49×add-exp-log
44×add-sqr-sqrt
38×*-un-lft-identity
36×times-frac
27×cbrt-prod associate-*r*
23×add-cube-cbrt
20×cbrt-div prod-exp
18×add-cbrt-cube
15×div-exp associate-*l*
10×flip3-+ associate-/r/ flip-+
9×unswap-sqr
8×cbrt-unprod
7×cbrt-undiv
6×pow1 distribute-lft-out
5×frac-times
4×rec-exp 1-exp insert-posit16 add-log-exp
3×pow1/3 associate-*l/ associate-*r/
2×div-inv
1×pow-prod-down *-commutative
Counts
4 → 129
Calls
4 calls:
193.0ms
(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
6.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
6.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
6.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))

series1.1s

Counts
4 → 12
Calls
4 calls:
100.0ms
(* (/ 1 (* (cbrt (+ 1.0 (/ (* x y) 2.0))) (cbrt (+ 1.0 (/ (* x y) 2.0))))) (/ y (cbrt (+ 1.0 (/ (* x y) 2.0)))))
396.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
314.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))
279.0ms
(cbrt (+ 1.0 (/ (* x y) 2.0)))

simplify2.1s

Counts
141 → 141
Iterations
IterNodes
done5000
22620
1765
0245

prune583.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

regimes117.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
09

end0.0ms

sample639.0ms

Algorithm
intervals
Results
483.0ms7999×body80valid
0.0ms1×body1280valid