Details

Time bar (total: 9.3s)

sample15.0ms

Algorithm
intervals
Results
6.0ms341×body80valid

simplify22.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3387
4447
done447

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize5.0ms

Local error

Found 1 expressions with local error:

0.1b
(* x (- 1.0 (* x y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×distribute-rgt-in sub-neg distribute-lft-in associate-*r/
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
17.0ms
(* x (- 1.0 (* x y)))

series45.0ms

Counts
1 → 3
Calls
1 calls:
45.0ms
(* x (- 1.0 (* x y)))

simplify1.5s

Counts
27 → 27
Iterations

Useful iterations: 2 (56.0ms)

IterNodesCost
051273
1122270
2332236
31181236
done5000236

prune46.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.1b
(cbrt (- 1.0 (* x y)))
0.1b
(cbrt (- 1.0 (* x y)))
0.1b
(cbrt (- 1.0 (* x y)))
0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
18×cbrt-div
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×flip3-- pow1/3 flip--
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×frac-times add-cbrt-cube add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 87
Calls
4 calls:
3.0ms
(cbrt (- 1.0 (* x y)))
6.0ms
(cbrt (- 1.0 (* x y)))
3.0ms
(cbrt (- 1.0 (* x y)))
28.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series924.0ms

Counts
4 → 12
Calls
4 calls:
230.0ms
(cbrt (- 1.0 (* x y)))
237.0ms
(cbrt (- 1.0 (* x y)))
231.0ms
(cbrt (- 1.0 (* x y)))
226.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify2.1s

Counts
99 → 99
Iterations

Useful iterations: done (2.1s)

IterNodesCost
01482038
13551877
211301755
341661450
done50001394

prune246.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x y) (* x y))
1.3b
(/ (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
4.2b
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
4.2b
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
28×add-exp-log cbrt-div
20×add-cbrt-cube
17×pow-prod-down
12×prod-exp cbrt-unprod
8×cbrt-prod frac-times flip3-- associate-/r/ flip-- associate-/l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+
4×cbrt-undiv associate-*r/ div-exp associate-*l/ pow-sqr pow-prod-up add-log-exp
2×pow-plus pow1/3 difference-of-squares
1×pow2 frac-2neg times-frac swap-sqr associate-*r* associate-*l* clear-num associate-/r* *-commutative div-inv associate-/l*
Counts
4 → 99
Calls
4 calls:
26.0ms
(* (* x y) (* x y))
41.0ms
(/ (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
6.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
6.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

series547.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (* x y) (* x y))
275.0ms
(/ (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))) (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
121.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
114.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

simplify917.0ms

Counts
111 → 111
Iterations

Useful iterations: done (914.0ms)

IterNodesCost
01873008
15212656
217952107
done50001960

prune353.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize23.0ms

Local error

Found 4 expressions with local error:

0.3b
(* (* x y) (* x y))
1.3b
(/ (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))) (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))))
4.2b
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
4.2b
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
28×add-exp-log cbrt-div
20×add-cbrt-cube
17×pow-prod-down
12×prod-exp cbrt-unprod
8×cbrt-prod frac-times flip3-- associate-/r/ flip-- associate-/l/
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ flip-+
4×cbrt-undiv associate-*r/ div-exp associate-*l/ pow-sqr pow-prod-up add-log-exp
2×pow-plus pow1/3 difference-of-squares
1×pow2 frac-2neg times-frac swap-sqr associate-*r* associate-*l* clear-num associate-/r* *-commutative div-inv associate-/l*
Counts
4 → 99
Calls
4 calls:
26.0ms
(* (* x y) (* x y))
44.0ms
(/ (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))) (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))))
6.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
6.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

series529.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(* (* x y) (* x y))
259.0ms
(/ (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))) (* (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))))
118.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))
119.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

simplify964.0ms

Counts
111 → 111
Iterations

Useful iterations: done (960.0ms)

IterNodesCost
01853008
15232774
217712237
done50012048

prune356.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes85.0ms

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify1.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample400.0ms

Algorithm
intervals
Results
178.0ms10637×body80valid