Details

Time bar (total: 2.3s)

sample15.0ms

Algorithm
intervals
Results
6.0ms344×body80valid

simplify10.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0103
1233
2443
3623
4633
5633
done633

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)))

rewrite18.0ms

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:
17.0ms
(* x (- 1.0 (* x y)))

series44.0ms

Counts
1 → 3
Calls
1 calls:
44.0ms
(* x (- 1.0 (* x y)))

simplify102.0ms

Counts
35 → 35
Iterations

Useful iterations: 3 (99.0ms)

IterNodesCost
0151198
1642173
23593170
35001162
done5001162

prune53.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.1b
(* x (- 1.0 (* x y)))
50.1b
(fma (- y) x (* y x))

rewrite18.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×add-cube-cbrt *-un-lft-identity prod-diff
5×distribute-rgt-in distribute-lft-in
4×pow1 add-exp-log add-cbrt-cube
3×associate-*r* associate-*l*
2×expm1-log1p-u sub-neg associate-*r/ log1p-expm1-u add-log-exp
1×flip3-- pow-prod-down prod-exp *-commutative flip-- cbrt-unprod fma-udef unswap-sqr
Counts
2 → 42
Calls
2 calls:
16.0ms
(* x (- 1.0 (* x y)))
0.0ms
(fma (- y) x (* y x))

series67.0ms

Counts
2 → 6
Calls
2 calls:
39.0ms
(* x (- 1.0 (* x y)))
28.0ms
(fma (- y) x (* y x))

simplify110.0ms

Counts
48 → 48
Iterations

Useful iterations: 2 (23.0ms)

IterNodesCost
0161248
1676216
23769213
35001213
done5001213

prune104.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 1 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
6×associate-*r*
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*l* add-cbrt-cube
1×distribute-lft-neg-in expm1-log1p-u neg-mul-1 distribute-rgt-neg-in pow-prod-down prod-exp *-commutative distribute-rgt-neg-out cbrt-unprod log1p-expm1-u add-log-exp unswap-sqr
Counts
1 → 24
Calls
1 calls:
11.0ms
(* x (- (* x y)))

series24.0ms

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

simplify119.0ms

Counts
27 → 27
Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
0101110
1556100
23891100
35002100
done5002100

prune62.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize10.0ms

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)

rewrite15.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3
6×add-exp-log swap-sqr associate-*r* associate-*l*
4×expm1-log1p-u add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 81
Calls
4 calls:
10.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series727.0ms

Counts
4 → 12
Calls
4 calls:
198.0ms
(* (cbrt x) (cbrt x))
175.0ms
(cbrt x)
176.0ms
(cbrt x)
177.0ms
(cbrt x)

simplify91.0ms

Counts
93 → 93
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0119308
1477281
22972258
35001255
done5001255

prune225.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0.0b

regimes45.0ms

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
0185
1235
2245
3245
done245

end0.0ms

sample390.0ms

Algorithm
intervals
Results
178.0ms10711×body80valid