Details

Time bar (total: 10.6s)

sample29.0ms

Algorithm
intervals
Results
15.0ms441×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done27
327
224
115
08

prune8.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ 2.0 x))
0.0b
(+ (* y y) (* x (+ 2.0 x)))

rewrite23.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-cbrt-cube associate-*r* add-exp-log add-cube-cbrt add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative sum-log pow-prod-down prod-exp *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
15.0ms
(* x (+ 2.0 x))
7.0ms
(+ (* y y) (* x (+ 2.0 x)))

series141.0ms

Counts
2 → 6
Calls
2 calls:
79.0ms
(* x (+ 2.0 x))
62.0ms
(+ (* y y) (* x (+ 2.0 x)))

simplify640.0ms

Counts
42 → 42
Iterations
IterNodes
done5000
21272
1234
072

prune142.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x))))
0.7b
(cbrt (* x (+ 2.0 x)))
0.7b
(cbrt (* x (+ 2.0 x)))
0.7b
(cbrt (* x (+ 2.0 x)))

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
20×associate-*r/
18×cbrt-div
11×pow1
10×add-sqr-sqrt
9×flip3-+ pow1/3 flip-+
8×*-un-lft-identity add-cube-cbrt
7×cbrt-prod
6×add-exp-log
4×frac-times add-cbrt-cube swap-sqr associate-*r* associate-*l* 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 → 72
Calls
4 calls:
18.0ms
(* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x))))
11.0ms
(cbrt (* x (+ 2.0 x)))
11.0ms
(cbrt (* x (+ 2.0 x)))
16.0ms
(cbrt (* x (+ 2.0 x)))

series602.0ms

Counts
4 → 12
Calls
4 calls:
167.0ms
(* (cbrt (* x (+ 2.0 x))) (cbrt (* x (+ 2.0 x))))
139.0ms
(cbrt (* x (+ 2.0 x)))
133.0ms
(cbrt (* x (+ 2.0 x)))
162.0ms
(cbrt (* x (+ 2.0 x)))

simplify757.0ms

Counts
84 → 84
Iterations
IterNodes
done5000
21578
1384
0153

prune465.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.7b
(cbrt (* x (+ 2.0 x)))
0.7b
(cbrt (* x (+ 2.0 x)))
0.8b
(cbrt (+ 2.0 x))

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
9×cbrt-prod
8×*-un-lft-identity
6×add-sqr-sqrt cbrt-div add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 associate-*r/ add-exp-log add-log-exp
3×flip3-+ flip-+
1×distribute-lft-out
Counts
4 → 47
Calls
4 calls:
1.0ms
(cbrt x)
7.0ms
(cbrt (* x (+ 2.0 x)))
10.0ms
(cbrt (* x (+ 2.0 x)))
7.0ms
(cbrt (+ 2.0 x))

series605.0ms

Counts
4 → 12
Calls
4 calls:
219.0ms
(cbrt x)
132.0ms
(cbrt (* x (+ 2.0 x)))
125.0ms
(cbrt (* x (+ 2.0 x)))
129.0ms
(cbrt (+ 2.0 x))

simplify690.0ms

Counts
59 → 59
Iterations
IterNodes
done5001
21166
1337
0144

prune392.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.1b
(pow (* x (+ 2.0 x)) 3)
0.1b
(* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (pow y 2)))
1.8b
(+ (pow y 4) (* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (pow y 2))))
38.6b
(/ (+ (pow y 6) (pow (* x (+ 2.0 x)) 3)) (+ (pow y 4) (* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (pow y 2)))))

rewrite239.0ms

Algorithm
rewrite-expression-head
Rules
23×*-un-lft-identity
15×add-sqr-sqrt add-cube-cbrt
14×add-cbrt-cube add-exp-log
12×distribute-rgt-in pow1 distribute-lft-in times-frac
10×associate-*r/
8×associate-+r+ associate--l+
7×flip3-+ flip-+
6×add-log-exp
4×frac-times sub-neg pow-prod-down prod-exp cbrt-unprod distribute-lft-out associate-/l*
3×pow-unpow associate-/r* flip3-- associate-*r* flip--
2×cube-div pow-pow associate-*l/ pow-exp associate-/r/ rem-cube-cbrt associate-/l/
1×cube-mult pow-to-exp cbrt-undiv +-commutative clear-num sum-log unpow-prod-down frac-2neg unpow3 cube-prod div-exp associate-*l* *-commutative div-inv sqr-pow
Counts
4 → 112
Calls
4 calls:
8.0ms
(pow (* x (+ 2.0 x)) 3)
97.0ms
(* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (pow y 2)))
26.0ms
(+ (pow y 4) (* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (pow y 2))))
105.0ms
(/ (+ (pow y 6) (pow (* x (+ 2.0 x)) 3)) (+ (pow y 4) (* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (pow y 2)))))

series528.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(pow (* x (+ 2.0 x)) 3)
125.0ms
(* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (pow y 2)))
121.0ms
(+ (pow y 4) (* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (pow y 2))))
219.0ms
(/ (+ (pow y 6) (pow (* x (+ 2.0 x)) 3)) (+ (pow y 4) (* (* x (+ 2.0 x)) (- (* x (+ 2.0 x)) (pow y 2)))))

simplify2.4s

Counts
124 → 124
Iterations
IterNodes
done5000
24555
1713
0223

prune744.0ms

Pruning

4 alts after pruning (0 fresh and 4 done)

Merged error: 0b

regimes179.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done10
110
07

end0.0ms

sample1.8s

Algorithm
intervals
Results
1.3s14079×body80valid