Details

Time bar (total: 21.0s)

sample19.0ms

Algorithm
intervals
Results
7.0ms344×body80valid

simplify29.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1107
2237
3447
4587
done587

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize9.0ms

Local error

Found 1 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
add-sqr-sqrt
prod-diff
distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
pow1 add-exp-log associate-*r* associate-*l* add-cbrt-cube
sub-neg associate-*r/
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:
32.0ms
(* x (- 1.0 (* x y)))

series69.0ms

Counts
1 → 3
Calls
1 calls:
69.0ms
(* x (- 1.0 (* x y)))

simplify1.8s

Counts
35 → 35
Iterations

Useful iterations: done (1.8s)

IterNodesCost
071411
1151408
2382356
31330347
done5000311

prune58.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt x) (cbrt x))
0.7b
(cbrt x)
0.7b
(cbrt x)
0.7b
(cbrt x)

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
pow1/3
add-exp-log swap-sqr associate-*r* associate-*l*
expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
pow-prod-down pow-sqr pow-prod-up
pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
20.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.0s

Counts
4 → 12
Calls
4 calls:
283.0ms
(* (cbrt x) (cbrt x))
249.0ms
(cbrt x)
235.0ms
(cbrt x)
261.0ms
(cbrt x)

simplify5.0s

Counts
93 → 93
Iterations

Useful iterations: done (5.0s)

IterNodesCost
065554
1119443
2327423
31104405
44523400
done5001390

prune293.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

localize15.0ms

Local error

Found 1 expressions with local error:

11.5b
(* (pow x 2) y)

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt
associate-*l*
add-exp-log
add-cube-cbrt unpow-prod-down *-un-lft-identity unswap-sqr
associate-*r* prod-exp add-cbrt-cube
unpow2 sqr-pow
pow1 expm1-log1p-u pow-to-exp pow-exp *-commutative cbrt-unprod log1p-expm1-u add-log-exp
Counts
1 → 29
Calls
1 calls:
20.0ms
(* (pow x 2) y)

series24.0ms

Counts
1 → 3
Calls
1 calls:
24.0ms
(* (pow x 2) y)

simplify5.5s

Counts
32 → 32
Iterations

Useful iterations: 2 (43.0ms)

IterNodesCost
050241
1104222
2283189
3862189
43819189
done5000189

prune117.0ms

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
4.9b
(* (* (pow x 2) (* (cbrt y) (cbrt y))) (cbrt y))
6.6b
(* (pow x 2) (* (cbrt y) (cbrt y)))

rewrite116.0ms

Algorithm
rewrite-expression-head
Rules
38×add-exp-log
25×prod-exp
12×add-sqr-sqrt
11×add-cbrt-cube
10×add-cube-cbrt *-un-lft-identity
cbrt-prod associate-*l* cbrt-unprod
associate-*r*
pow1
expm1-log1p-u pow-to-exp unpow-prod-down pow-exp log1p-expm1-u add-log-exp unswap-sqr
pow1/3 pow-prod-down *-commutative unpow2 sqr-pow
pow2
Counts
4 → 86
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
83.0ms
(* (* (pow x 2) (* (cbrt y) (cbrt y))) (cbrt y))
29.0ms
(* (pow x 2) (* (cbrt y) (cbrt y)))

series738.0ms

Counts
4 → 12
Calls
4 calls:
237.0ms
(cbrt y)
278.0ms
(cbrt y)
62.0ms
(* (* (pow x 2) (* (cbrt y) (cbrt y))) (cbrt y))
162.0ms
(* (pow x 2) (* (cbrt y) (cbrt y)))

simplify4.9s

Counts
98 → 98
Iterations

Useful iterations: done (4.9s)

IterNodesCost
01051004
1253922
2874670
34404591
done5000584

prune226.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 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

sample675.0ms

Algorithm
intervals
Results
307.0ms10711×body80valid