Details

Time bar (total: 2.9s)

sample16.0ms

Algorithm
intervals
Results
6.0ms345×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

localize4.0ms

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 (98.0ms)

IterNodesCost
0151198
1642173
23593170
35001162
done5001162

prune54.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x 1.0) (* x (- (* x y))))
0.2b
(* x (- (* x y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt associate-*r*
4×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube add-log-exp
3×associate-*l* distribute-rgt-neg-out
2×expm1-log1p-u log1p-expm1-u
1×+-commutative distribute-lft-neg-in neg-mul-1 fma-def distribute-rgt-neg-in flip3-+ unsub-neg pow-prod-down prod-exp sum-log *-commutative cbrt-unprod flip-+ distribute-lft-out unswap-sqr
Counts
2 → 41
Calls
2 calls:
9.0ms
(+ (* x 1.0) (* x (- (* x y))))
12.0ms
(* x (- (* x y)))

series66.0ms

Counts
2 → 6
Calls
2 calls:
44.0ms
(+ (* x 1.0) (* x (- (* x y))))
22.0ms
(* x (- (* x y)))

simplify46.0ms

Counts
47 → 47
Iterations

Useful iterations: 2 (42.0ms)

IterNodesCost
0191230
11093202
25002198
done5002198

prune94.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
7.9b
(cbrt (- (* x y)))
7.9b
(cbrt (- (* x y)))
7.9b
(cbrt (- (* x y)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
46×cbrt-prod
23×add-sqr-sqrt
15×add-cube-cbrt *-un-lft-identity
11×pow1
9×pow1/3 swap-sqr associate-*r* associate-*l*
7×distribute-lft-neg-in neg-mul-1 distribute-rgt-neg-in
6×add-exp-log
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 → 99
Calls
4 calls:
20.0ms
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
2.0ms
(cbrt (- (* x y)))
2.0ms
(cbrt (- (* x y)))
2.0ms
(cbrt (- (* x y)))

series447.0ms

Counts
4 → 12
Calls
4 calls:
144.0ms
(* (cbrt (- (* x y))) (cbrt (- (* x y))))
101.0ms
(cbrt (- (* x y)))
100.0ms
(cbrt (- (* x y)))
101.0ms
(cbrt (- (* x y)))

simplify116.0ms

Counts
111 → 111
Iterations

Useful iterations: 2 (27.0ms)

IterNodesCost
0239758
1841707
24215636
35001636
done5001636

prune300.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(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)

series762.0ms

Counts
4 → 12
Calls
4 calls:
196.0ms
(* (cbrt x) (cbrt x))
182.0ms
(cbrt x)
211.0ms
(cbrt x)
173.0ms
(cbrt x)

simplify90.0ms

Counts
93 → 93
Iterations

Useful iterations: 3 (86.0ms)

IterNodesCost
0119308
1477281
22972258
35001255
done5001255

prune184.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes39.0ms

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

sample409.0ms

Algorithm
intervals
Results
186.0ms10702×body80valid