Details

Time bar (total: 16.5s)

sample35.0ms

Algorithm
intervals
Results
16.0ms402×body80valid

simplify44.0ms

Counts
1 → 1
Iterations

Useful iterations: 3 (10.0ms)

IterNodesCost
0815
11515
22513
3379
4459
5489
done489

prune9.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize29.0ms

Local error

Found 2 expressions with local error:

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

rewrite56.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-sqr-sqrt add-log-exp
3×add-cube-cbrt *-un-lft-identity associate-*l* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*r* sum-log *-commutative flip-+ unswap-sqr
Counts
2 → 30
Calls
2 calls:
20.0ms
(+ (* x y) (* 3 (* z z)))
35.0ms
(* 3 (* z z))

series127.0ms

Counts
2 → 6
Calls
2 calls:
77.0ms
(+ (* x y) (* 3 (* z z)))
50.0ms
(* 3 (* z z))

simplify4.8s

Counts
36 → 36
Iterations

Useful iterations: 3 (487.0ms)

IterNodesCost
057370
1159340
2505306
31492294
44067294
done5002294

prune101.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize7.0ms

Local error

Found 2 expressions with local error:

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

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
7×pow1 add-exp-log add-cbrt-cube
4×add-log-exp
3×add-sqr-sqrt add-cube-cbrt *-un-lft-identity associate-*r* pow-prod-down prod-exp cbrt-unprod
1×+-commutative flip3-+ associate-*l* sum-log *-commutative flip-+
Counts
2 → 29
Calls
2 calls:
9.0ms
(+ (* x y) (* (* 3 z) z))
25.0ms
(* (* 3 z) z)

series105.0ms

Counts
2 → 6
Calls
2 calls:
65.0ms
(+ (* x y) (* (* 3 z) z))
40.0ms
(* (* 3 z) z)

simplify2.8s

Counts
35 → 35
Iterations

Useful iterations: 3 (731.0ms)

IterNodesCost
059365
1174335
2665301
31965287
done5001287

prune96.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (+ (* x y) (* z z)) (* z z))
0.0b
(+ (* x y) (* z z))
0.1b
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
19×add-log-exp
10×sum-log
3×pow1 add-exp-log +-commutative add-sqr-sqrt add-cube-cbrt *-un-lft-identity flip3-+ add-cbrt-cube flip-+
2×associate-+l+
Counts
3 → 38
Calls
3 calls:
31.0ms
(+ (+ (* x y) (* z z)) (* z z))
10.0ms
(+ (* x y) (* z z))
150.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

series237.0ms

Counts
3 → 9
Calls
3 calls:
89.0ms
(+ (+ (* x y) (* z z)) (* z z))
66.0ms
(+ (* x y) (* z z))
82.0ms
(+ (+ (+ (* x y) (* z z)) (* z z)) (* z z))

simplify2.3s

Counts
47 → 47
Iterations

Useful iterations: 3 (953.0ms)

IterNodesCost
070791
1208667
2738601
32923519
done5000519

prune156.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(* 2 (pow z 2))
0.0b
(+ (* x y) (* z z))
0.1b
(+ (+ (* x y) (* z z)) (* 2 (pow z 2)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
12×add-sqr-sqrt
10×add-log-exp
8×add-exp-log associate-*r*
6×add-cube-cbrt *-un-lft-identity
5×add-cbrt-cube
4×unpow-prod-down sum-log unswap-sqr
3×pow1 associate-*l* prod-exp
2×+-commutative flip3-+ flip-+ unpow2 sqr-pow
1×pow-to-exp associate-+l+ pow-exp *-commutative cbrt-unprod
Counts
3 → 51
Calls
3 calls:
19.0ms
(* 2 (pow z 2))
11.0ms
(+ (* x y) (* z z))
51.0ms
(+ (+ (* x y) (* z z)) (* 2 (pow z 2)))

series204.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(* 2 (pow z 2))
78.0ms
(+ (* x y) (* z z))
76.0ms
(+ (+ (* x y) (* z z)) (* 2 (pow z 2)))

simplify2.9s

Counts
60 → 60
Iterations

Useful iterations: done (2.9s)

IterNodesCost
098703
1259632
2804531
33161509
done5001496

prune197.0ms

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes218.0ms

Accuracy

0% (0.1b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01013
11413
done1413

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.2s12316×body80valid