Details

Time bar (total: 11.4s)

sample23.0ms

Algorithm
intervals
Results
12.0ms341×body80valid

simplify10.0ms

Counts
1 → 1
Iterations
IterNodes
done20
220
114
06

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.6b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ 1.0 (* y y))
4.6b
(* x (+ 1.0 (* y y)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt
4×pow1 *-un-lft-identity add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*r* associate-*l*
2×flip3-+ associate-*r/ flip-+ insert-posit16
1×distribute-rgt-in +-commutative sum-log distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
2 → 35
Calls
2 calls:
5.0ms
(+ 1.0 (* y y))
15.0ms
(* x (+ 1.0 (* y y)))

series113.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(+ 1.0 (* y y))
67.0ms
(* x (+ 1.0 (* y y)))

simplify1.9s

Counts
41 → 41
Iterations
IterNodes
done5035
33281
2628
1176
061

prune125.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 4.5b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* 1.0 x) (* (* y y) x))
8.8b
(* (* y y) x)

rewrite30.0ms

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
2×insert-posit16
1×+-commutative sum-log flip3-+ distribute-rgt-out associate-*l* *-commutative flip-+ unswap-sqr
Counts
2 → 33
Calls
2 calls:
8.0ms
(+ (* 1.0 x) (* (* y y) x))
20.0ms
(* (* y y) x)

series87.0ms

Counts
2 → 6
Calls
2 calls:
67.0ms
(+ (* 1.0 x) (* (* y y) x))
20.0ms
(* (* y y) x)

simplify2.2s

Counts
39 → 39
Iterations
IterNodes
done5002
32809
2645
1183
063

prune102.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

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

rewrite39.0ms

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
2×insert-posit16
1×+-commutative sum-log flip3-+ associate-*r* *-commutative flip-+
Counts
2 → 31
Calls
2 calls:
13.0ms
(+ (* 1.0 x) (* y (* y x)))
25.0ms
(* y (* y x))

series117.0ms

Counts
2 → 6
Calls
2 calls:
90.0ms
(+ (* 1.0 x) (* y (* y x)))
27.0ms
(* y (* y x))

simplify2.3s

Counts
37 → 37
Iterations
IterNodes
done5000
32820
2578
1167
058

prune102.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 4 expressions with local error:

0.4b
(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
20.2b
(cbrt (* y (* y x)))
20.2b
(cbrt (* y (* y x)))
20.2b
(cbrt (* y (* y x)))

rewrite62.0ms

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* insert-posit16 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 → 62
Calls
4 calls:
25.0ms
(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
10.0ms
(cbrt (* y (* y x)))
11.0ms
(cbrt (* y (* y x)))
14.0ms
(cbrt (* y (* y x)))

series476.0ms

Counts
4 → 12
Calls
4 calls:
131.0ms
(* (cbrt (* y (* y x))) (cbrt (* y (* y x))))
105.0ms
(cbrt (* y (* y x)))
118.0ms
(cbrt (* y (* y x)))
121.0ms
(cbrt (* y (* y x)))

simplify2.6s

Counts
74 → 74
Iterations
IterNodes
done5001
44523
31304
2547
1218
088

prune302.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0.0b

regimes190.0ms

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

sample582.0ms

Algorithm
intervals
Results
329.0ms10595×body80valid