Details

Time bar (total: 14.1s)

sample61.0ms

Algorithm
intervals
Results
16.0ms269×body80valid
15.0ms269×body80nan

simplify175.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010205
121205
247205
371205
4104205
5121205
6134205
7146205
done146205

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize11.0ms

Local error

Found 2 expressions with local error:

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

rewrite12.0ms

Algorithm
rewrite-expression-head
Rules
9×add-sqr-sqrt
6×associate-*r*
5×*-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube add-exp-log sqrt-prod add-log-exp
3×associate-*l*
2×unswap-sqr
1×+-commutative sum-log flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+
Counts
2 → 33
Calls
2 calls:
4.0ms
(+ x (* y (sqrt z)))
8.0ms
(* y (sqrt z))

series93.0ms

Counts
2 → 6
Calls
2 calls:
47.0ms
(+ x (* y (sqrt z)))
46.0ms
(* y (sqrt z))

simplify2.5s

Counts
39 → 39
Iterations

Useful iterations: 3 (1.0s)

IterNodesCost
0868765
12287078
27716838
339996678
done50036678

prune191.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 4 expressions with local error:

0.1b
(sqrt (sqrt z))
0.1b
(sqrt (sqrt z))
0.2b
(* y (sqrt (sqrt z)))
0.3b
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
41×sqrt-prod
25×add-sqr-sqrt
18×associate-*r*
15×pow1 *-un-lft-identity add-cube-cbrt
11×add-cbrt-cube add-exp-log
8×sqrt-pow1
4×rem-sqrt-square pow1/2 associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
3×unswap-sqr
2×*-commutative
Counts
4 → 88
Calls
4 calls:
3.0ms
(sqrt (sqrt z))
3.0ms
(sqrt (sqrt z))
18.0ms
(* y (sqrt (sqrt z)))
35.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

series517.0ms

Counts
4 → 12
Calls
4 calls:
176.0ms
(sqrt (sqrt z))
193.0ms
(sqrt (sqrt z))
96.0ms
(* y (sqrt (sqrt z)))
52.0ms
(* (* y (sqrt (sqrt z))) (sqrt (sqrt z)))

simplify1.2s

Counts
100 → 100
Iterations

Useful iterations: done (1.2s)

IterNodesCost
013222778
135417886
2168417364
done500117044

prune521.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
0.1b
(sqrt (sqrt z))
0.2b
(* (pow z 1/4) y)
0.3b
(* (* (pow z 1/4) y) (sqrt (sqrt z)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt add-exp-log sqrt-prod
12×*-un-lft-identity associate-*r* add-cube-cbrt
11×add-cbrt-cube
10×prod-exp
8×pow1 associate-*l*
6×add-log-exp
4×unpow-prod-down sqrt-pow1 cbrt-unprod
3×unswap-sqr
2×pow-to-exp rem-sqrt-square pow1/2 pow-exp *-commutative sqr-pow
1×+-commutative sum-log flip3-+ pow-prod-down flip-+
Counts
4 → 80
Calls
4 calls:
9.0ms
(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
3.0ms
(sqrt (sqrt z))
18.0ms
(* (pow z 1/4) y)
48.0ms
(* (* (pow z 1/4) y) (sqrt (sqrt z)))

series555.0ms

Counts
4 → 12
Calls
4 calls:
127.0ms
(+ x (* (* (pow z 1/4) y) (sqrt (sqrt z))))
172.0ms
(sqrt (sqrt z))
121.0ms
(* (pow z 1/4) y)
134.0ms
(* (* (pow z 1/4) y) (sqrt (sqrt z)))

simplify1.9s

Counts
92 → 92
Iterations

Useful iterations: done (1.9s)

IterNodesCost
018134149
148430601
2230229949
done500129389

prune614.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (* (* (pow z 1/4) y) (pow (/ 1 z) -1/4)))
0.0b
(pow (/ 1 z) -1/4)
0.2b
(* (pow z 1/4) y)
0.3b
(* (* (pow z 1/4) y) (pow (/ 1 z) -1/4))

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
74×add-exp-log
45×prod-exp
30×unpow-prod-down
28×add-sqr-sqrt
27×pow-exp
23×*-un-lft-identity add-cube-cbrt
20×associate-*r*
18×times-frac
12×pow-to-exp
11×add-cbrt-cube
10×div-exp
8×associate-*l*
6×pow1 add-log-exp
5×rec-exp 1-exp
4×cbrt-unprod sqr-pow
3×pow-unpow pow-pow unswap-sqr
2×*-commutative div-inv
1×+-commutative sum-log flip3-+ flip-+ pow-flip inv-pow
Counts
4 → 120
Calls
4 calls:
8.0ms
(+ x (* (* (pow z 1/4) y) (pow (/ 1 z) -1/4)))
10.0ms
(pow (/ 1 z) -1/4)
10.0ms
(* (pow z 1/4) y)
33.0ms
(* (* (pow z 1/4) y) (pow (/ 1 z) -1/4))

series465.0ms

Counts
4 → 12
Calls
4 calls:
45.0ms
(+ x (* (* (pow z 1/4) y) (pow (/ 1 z) -1/4)))
241.0ms
(pow (/ 1 z) -1/4)
115.0ms
(* (pow z 1/4) y)
63.0ms
(* (* (pow z 1/4) y) (pow (/ 1 z) -1/4))

simplify2.1s

Counts
132 → 132
Iterations

Useful iterations: done (2.1s)

IterNodesCost
022162787
164552110
2280849365
done500349335

prune604.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0.0b

regimes615.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.1b and baseline of 0.2b

bsearch0.0ms

simplify5.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
010205
113205
done13205

end0.0ms

sample1.6s

Algorithm
intervals
Results
609.0ms8452×body80nan
482.0ms8521×body80valid