Details

Time bar (total: 15.7s)

sample26.0ms

Algorithm
intervals
Results
11.0ms316×body80valid

simplify31.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3387
4447
done447

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize6.0ms

Local error

Found 1 expressions with local error:

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

rewrite21.0ms

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:
19.0ms
(* x (- 1.0 (* x y)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(* x (- 1.0 (* x y)))

simplify2.1s

Counts
27 → 27
Iterations

Useful iterations: 2 (96.0ms)

IterNodesCost
051273
1122270
2332236
31181236
done5000236

prune82.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

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

rewrite55.0ms

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:
6.0ms
(cbrt (- 1.0 (* x y)))
4.0ms
(cbrt (- 1.0 (* x y)))
3.0ms
(cbrt (- 1.0 (* x y)))
36.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series1.3s

Counts
4 → 12
Calls
4 calls:
283.0ms
(cbrt (- 1.0 (* x y)))
297.0ms
(cbrt (- 1.0 (* x y)))
357.0ms
(cbrt (- 1.0 (* x y)))
369.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify3.0s

Counts
99 → 99
Iterations

Useful iterations: done (3.0s)

IterNodesCost
01482038
13551877
211301755
341661450
done50001394

prune390.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.2b
(/ (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (+ 1.0 (* x y))))
0.2b
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
0.3b
(* (* x y) (* x y))
5.6b
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

rewrite146.0ms

Algorithm
rewrite-expression-head
Rules
72×cbrt-prod
51×add-sqr-sqrt
50×pow1
43×add-cube-cbrt *-un-lft-identity
42×times-frac
20×add-exp-log
19×pow-prod-down
18×cbrt-div
16×add-cbrt-cube
9×prod-exp cbrt-unprod
8×flip3-- flip-- difference-of-squares
7×pow1/3 swap-sqr associate-*r* associate-*l* associate-/l*
6×associate-/r* pow-sqr pow-prod-up
4×frac-times add-log-exp unswap-sqr
3×pow-plus
2×pow2 associate-*r/ associate-*l/ associate-/r/ *-commutative associate-/l/
1×cbrt-undiv frac-2neg flip3-+ div-exp clear-num flip-+ div-inv
Counts
4 → 167
Calls
4 calls:
42.0ms
(/ (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (+ 1.0 (* x y))))
56.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
34.0ms
(* (* x y) (* x y))
7.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

series869.0ms

Counts
4 → 12
Calls
4 calls:
335.0ms
(/ (cbrt (- (* 1.0 1.0) (* (* x y) (* x y)))) (cbrt (+ 1.0 (* x y))))
312.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))
54.0ms
(* (* x y) (* x y))
167.0ms
(cbrt (- (* 1.0 1.0) (* (* x y) (* x y))))

simplify1.6s

Counts
179 → 179
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02934268
16163947
219663733
done50003554

prune892.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

localize67.0ms

Local error

Found 4 expressions with local error:

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

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
46×cbrt-div
37×add-sqr-sqrt
36×cbrt-prod
21×add-cube-cbrt *-un-lft-identity
18×pow1
14×pow1/3
13×flip3-+ flip-+
12×frac-times swap-sqr associate-*r* associate-*l*
8×add-exp-log unswap-sqr
6×flip3-- associate-*r/ associate-*l/ flip--
4×pow-prod-down pow-sqr pow-prod-up add-cbrt-cube add-log-exp
2×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 126
Calls
4 calls:
6.0ms
(cbrt (+ 1.0 (* x y)))
25.0ms
(cbrt (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
45.0ms
(* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y))))
35.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

series1.3s

Counts
4 → 12
Calls
4 calls:
270.0ms
(cbrt (+ 1.0 (* x y)))
346.0ms
(cbrt (* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y)))))
330.0ms
(* (cbrt (+ 1.0 (* x y))) (cbrt (+ 1.0 (* x y))))
325.0ms
(* (cbrt (- 1.0 (* x y))) (cbrt (- 1.0 (* x y))))

simplify1.8s

Counts
138 → 138
Iterations

Useful iterations: done (1.7s)

IterNodesCost
02403149
15692855
218472656
done50002386

prune835.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0.0b

regimes158.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample822.0ms

Algorithm
intervals
Results
388.0ms10731×body80valid