Details

Time bar (total: 8.0s)

sample13.0ms

Algorithm
intervals
Results
6.0ms335×body80valid

simplify18.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
067
1107
2237
3437
4557
done557

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize4.0ms

Local error

Found 1 expressions with local error:

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

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
7×add-sqr-sqrt
6×prod-diff
5×distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
3×pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
2×sub-neg associate-*r/
1×expm1-log1p-u flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 32
Calls
1 calls:
8.0ms
(* x (- 1.0 (* x y)))

series43.0ms

Counts
1 → 3
Calls
1 calls:
43.0ms
(* x (- 1.0 (* x y)))

simplify849.0ms

Counts
35 → 35
Iterations

Useful iterations: done (848.0ms)

IterNodesCost
071411
1151408
2401356
31387347
done5000341

prune58.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
0.5b
(cbrt (* x (- 1.0 (* x y))))
0.5b
(cbrt (* x (- 1.0 (* x y))))
0.5b
(cbrt (* x (- 1.0 (* x y))))

rewrite19.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-- pow1/3 flip--
8×add-cube-cbrt *-un-lft-identity
7×cbrt-prod
6×add-exp-log
4×expm1-log1p-u frac-times swap-sqr associate-*r* associate-*l* add-cbrt-cube log1p-expm1-u add-log-exp
2×pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 80
Calls
4 calls:
9.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))

series1.1s

Counts
4 → 12
Calls
4 calls:
287.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (cbrt (* x (- 1.0 (* x y)))))
269.0ms
(cbrt (* x (- 1.0 (* x y))))
267.0ms
(cbrt (* x (- 1.0 (* x y))))
265.0ms
(cbrt (* x (- 1.0 (* x y))))

simplify482.0ms

Counts
92 → 92
Iterations

Useful iterations: 2 (140.0ms)

IterNodesCost
01722160
14471980
215411828
done50001828

prune282.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (* x (- 1.0 (* x y)))) (* (cbrt x) (cbrt (- 1.0 (* x y)))))
0.5b
(cbrt (* x (- 1.0 (* x y))))
0.5b
(cbrt (* x (- 1.0 (* x y))))
0.6b
(cbrt x)

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
18×associate-*r/
16×cbrt-div
12×pow1/3
9×pow1 add-exp-log
8×flip3-- flip--
7×cbrt-prod pow-prod-down
6×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×expm1-log1p-u frac-times associate-*l* log1p-expm1-u add-log-exp
3×prod-exp cbrt-unprod
2×associate-*l/
1×swap-sqr associate-*r* pow-sqr *-commutative pow-prod-up
Counts
4 → 72
Calls
4 calls:
16.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (* (cbrt x) (cbrt (- 1.0 (* x y)))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))
3.0ms
(cbrt (* x (- 1.0 (* x y))))
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
281.0ms
(* (cbrt (* x (- 1.0 (* x y)))) (* (cbrt x) (cbrt (- 1.0 (* x y)))))
264.0ms
(cbrt (* x (- 1.0 (* x y))))
265.0ms
(cbrt (* x (- 1.0 (* x y))))
201.0ms
(cbrt x)

simplify538.0ms

Counts
84 → 84
Iterations

Useful iterations: 2 (171.0ms)

IterNodesCost
01941759
15211676
217571550
done50011550

prune304.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (cbrt (* x (- 1.0 (* x y)))))
0.6b
(cbrt (cbrt (* x (- 1.0 (* x y)))))
0.6b
(cbrt (cbrt (* x (- 1.0 (* x y)))))
0.6b
(cbrt x)

rewrite6.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-prod
12×cbrt-div
8×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
6×associate-*r/
4×pow1 add-exp-log expm1-log1p-u pow1/3 add-cbrt-cube log1p-expm1-u add-log-exp
3×flip3-- flip--
Counts
4 → 61
Calls
4 calls:
1.0ms
(cbrt (cbrt (* x (- 1.0 (* x y)))))
2.0ms
(cbrt (cbrt (* x (- 1.0 (* x y)))))
1.0ms
(cbrt (cbrt (* x (- 1.0 (* x y)))))
1.0ms
(cbrt x)

series1.2s

Counts
4 → 12
Calls
4 calls:
338.0ms
(cbrt (cbrt (* x (- 1.0 (* x y)))))
331.0ms
(cbrt (cbrt (* x (- 1.0 (* x y)))))
337.0ms
(cbrt (cbrt (* x (- 1.0 (* x y)))))
181.0ms
(cbrt x)

simplify1.3s

Counts
73 → 73
Iterations

Useful iterations: 3 (488.0ms)

IterNodesCost
01231391
12851324
28461246
337431099
done50011099

prune291.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

regimes79.0ms

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

sample335.0ms

Algorithm
intervals
Results
184.0ms10630×body80valid