Details

Time bar (total: 13.0s)

sample16.0ms

Algorithm
intervals
Results
7.0ms334×body80valid

simplify6.0ms

Counts
1 → 1
Iterations
IterNodes
done20
220
114
06

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize14.0ms

Local error

Found 1 expressions with local error:

4.3b
(* x (+ 1.0 (* y y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
19.0ms
(* x (+ 1.0 (* y y)))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(* x (+ 1.0 (* y y)))

simplify2.3s

Counts
25 → 25
Iterations
IterNodes
done5015
32891
2564
1149
050

prune109.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.4b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (* y y) x))
8.5b
(* (* y y) x)

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-sqr-sqrt add-log-exp
3×*-un-lft-identity associate-*r* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
1×+-commutative sum-log flip3-+ distribute-rgt-out associate-*l* *-commutative flip-+ unswap-sqr
Counts
2 → 31
Calls
2 calls:
6.0ms
(+ (* 1.0 x) (* (* y y) x))
16.0ms
(* (* y y) x)

series89.0ms

Counts
2 → 6
Calls
2 calls:
69.0ms
(+ (* 1.0 x) (* (* y y) x))
20.0ms
(* (* y y) x)

simplify2.5s

Counts
37 → 37
Iterations
IterNodes
done5006
32831
2655
1181
061

prune172.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

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

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-cbrt-cube add-exp-log
4×add-log-exp
3×add-sqr-sqrt *-un-lft-identity associate-*l* pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
7.0ms
(+ (* 1.0 x) (* y (* y x)))
12.0ms
(* y (* y x))

series101.0ms

Counts
2 → 6
Calls
2 calls:
80.0ms
(+ (* 1.0 x) (* y (* y x)))
22.0ms
(* y (* y x))

simplify2.5s

Counts
35 → 35
Iterations
IterNodes
done5000
32836
2575
1165
056

prune168.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
18.2b
(cbrt (* y (* y x)))
18.2b
(cbrt (* y (* y x)))
18.2b
(cbrt (* y (* y x)))

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
11×pow1
10×add-sqr-sqrt
9×pow1/3
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×add-cbrt-cube swap-sqr associate-*r* associate-*l* add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 58
Calls
4 calls:
19.0ms
(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
8.0ms
(cbrt (* y (* y x)))
13.0ms
(cbrt (* y (* y x)))
14.0ms
(cbrt (* y (* y x)))

series476.0ms

Counts
4 → 12
Calls
4 calls:
130.0ms
(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
116.0ms
(cbrt (* y (* y x)))
118.0ms
(cbrt (* y (* y x)))
113.0ms
(cbrt (* y (* y x)))

simplify3.1s

Counts
70 → 70
Iterations
IterNodes
done5000
44634
31297
2541
1216
086

prune281.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes299.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
07

end0.0ms

sample583.0ms

Algorithm
intervals
Results
351.0ms10727×body80valid