Details

Time bar (total: 11.5s)

sample53.0ms

Algorithm
intervals
Results
24.0ms400×body80valid

simplify27.0ms

Counts
1 → 1
Iterations
IterNodes
done52
552
448
338
225
115
08

prune10.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize31.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* (* z z) 3))
0.2b
(* (* z z) 3)

rewrite21.0ms

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-+ associate-*l* *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
6.0ms
(+ (* x y) (* (* z z) 3))
14.0ms
(* (* z z) 3)

series101.0ms

Counts
2 → 6
Calls
2 calls:
60.0ms
(+ (* x y) (* (* z z) 3))
41.0ms
(* (* z z) 3)

simplify795.0ms

Counts
36 → 36
Iterations
IterNodes
done5001
21101
1190
060

prune185.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* x y) (* z (* z 3)))
0.2b
(* z (* z 3))

rewrite29.0ms

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:
9.0ms
(+ (* x y) (* z (* z 3)))
20.0ms
(* z (* z 3))

series92.0ms

Counts
2 → 6
Calls
2 calls:
56.0ms
(+ (* x y) (* z (* z 3)))
36.0ms
(* z (* z 3))

simplify661.0ms

Counts
35 → 35
Iterations
IterNodes
done5001
2812
1168
056

prune124.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (* (* (* (sqrt 3) z) z) (sqrt 3)))
0.2b
(* (* (sqrt 3) z) z)
0.3b
(* (* (* (sqrt 3) z) z) (sqrt 3))
0.4b
(* (sqrt 3) z)

rewrite171.0ms

Algorithm
rewrite-expression-head
Rules
20×pow1 add-cbrt-cube add-exp-log
14×add-sqr-sqrt
12×associate-*r*
10×*-un-lft-identity pow-prod-down prod-exp add-cube-cbrt cbrt-unprod
8×associate-*l*
7×sqrt-prod
6×add-log-exp
3×*-commutative
2×unswap-sqr
1×+-commutative sum-log flip3-+ flip-+
Counts
4 → 75
Calls
4 calls:
11.0ms
(+ (* x y) (* (* (* (sqrt 3) z) z) (sqrt 3)))
18.0ms
(* (* (sqrt 3) z) z)
124.0ms
(* (* (* (sqrt 3) z) z) (sqrt 3))
13.0ms
(* (sqrt 3) z)

series416.0ms

Counts
4 → 12
Calls
4 calls:
148.0ms
(+ (* x y) (* (* (* (sqrt 3) z) z) (sqrt 3)))
64.0ms
(* (* (sqrt 3) z) z)
126.0ms
(* (* (* (sqrt 3) z) z) (sqrt 3))
77.0ms
(* (sqrt 3) z)

simplify1.8s

Counts
87 → 87
Iterations
IterNodes
done5000
22042
1299
0101

prune369.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.2b
(* (* (cbrt (sqrt 3)) (* (* (sqrt 3) (pow z 2)) (cbrt (sqrt 3)))) (cbrt (sqrt 3)))
0.2b
(* (cbrt (sqrt 3)) (* (* (sqrt 3) (pow z 2)) (cbrt (sqrt 3))))
0.2b
(* (* (sqrt 3) (pow z 2)) (cbrt (sqrt 3)))
0.2b
(* (sqrt 3) (pow z 2))

rewrite490.0ms

Algorithm
rewrite-expression-head
Rules
58×add-exp-log
40×prod-exp
29×add-sqr-sqrt
27×associate-*r*
20×pow1 cbrt-unprod
18×cbrt-prod add-cbrt-cube
17×*-un-lft-identity associate-*l* add-cube-cbrt
16×sqrt-prod
10×pow-prod-down
8×unswap-sqr
5×unpow-prod-down
4×pow-to-exp pow-exp *-commutative add-log-exp
3×unpow2 sqr-pow
Counts
4 → 118
Calls
4 calls:
307.0ms
(* (* (cbrt (sqrt 3)) (* (* (sqrt 3) (pow z 2)) (cbrt (sqrt 3)))) (cbrt (sqrt 3)))
115.0ms
(* (cbrt (sqrt 3)) (* (* (sqrt 3) (pow z 2)) (cbrt (sqrt 3))))
48.0ms
(* (* (sqrt 3) (pow z 2)) (cbrt (sqrt 3)))
12.0ms
(* (sqrt 3) (pow z 2))

series1.2s

Counts
4 → 12
Calls
4 calls:
115.0ms
(* (* (cbrt (sqrt 3)) (* (* (sqrt 3) (pow z 2)) (cbrt (sqrt 3)))) (cbrt (sqrt 3)))
495.0ms
(* (cbrt (sqrt 3)) (* (* (sqrt 3) (pow z 2)) (cbrt (sqrt 3))))
482.0ms
(* (* (sqrt 3) (pow z 2)) (cbrt (sqrt 3)))
62.0ms
(* (sqrt 3) (pow z 2))

simplify2.5s

Counts
130 → 130
Iterations
IterNodes
done5001
22755
1393
0149

prune661.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes354.0ms

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
08

end0.0ms

sample1.4s

Algorithm
intervals
Results
774.0ms12203×body80valid