Details

Time bar (total: 11.0s)

sample19.0ms

Algorithm
intervals
Results
8.0ms345×body80valid

simplify17.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
1147
2207
3227
done227

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize5.0ms

Local error

Found 1 expressions with local error:

4.5b
(* x (+ 1.0 (* y y)))

rewrite17.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 add-exp-log add-cube-cbrt *-un-lft-identity associate-*r* associate-*l* add-cbrt-cube
2×associate-*r/
1×distribute-rgt-in distribute-lft-in flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ add-log-exp unswap-sqr
Counts
1 → 22
Calls
1 calls:
16.0ms
(* x (+ 1.0 (* y y)))

series59.0ms

Counts
1 → 3
Calls
1 calls:
59.0ms
(* x (+ 1.0 (* y y)))

simplify1.8s

Counts
25 → 25
Iterations

Useful iterations: 2 (60.0ms)

IterNodesCost
050247
1143240
2451206
31576206
done5000206

prune69.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 4.6b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(* x (sqrt (+ 1.0 (* y y))))
0.1b
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
4.5b
(sqrt (+ 1.0 (* y y)))
4.5b
(sqrt (+ 1.0 (* y y)))

rewrite111.0ms

Algorithm
rewrite-expression-head
Rules
18×sqrt-div
17×add-sqr-sqrt
13×pow1 sqrt-prod
12×associate-*r*
11×add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
10×associate-*r/
9×flip3-+ flip-+
4×frac-times associate-*l* pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/ *-commutative unswap-sqr
Counts
4 → 83
Calls
4 calls:
23.0ms
(* x (sqrt (+ 1.0 (* y y))))
69.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
8.0ms
(sqrt (+ 1.0 (* y y)))
8.0ms
(sqrt (+ 1.0 (* y y)))

series290.0ms

Counts
4 → 12
Calls
4 calls:
89.0ms
(* x (sqrt (+ 1.0 (* y y))))
79.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
57.0ms
(sqrt (+ 1.0 (* y y)))
65.0ms
(sqrt (+ 1.0 (* y y)))

simplify2.4s

Counts
95 → 95
Iterations

Useful iterations: 3 (972.0ms)

IterNodesCost
01221468
13031152
28351012
327461002
done50021002

prune273.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 4.6b

localize10.0ms

Local error

Found 4 expressions with local error:

1.0b
(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
4.7b
(cbrt (+ 1.0 (* y y)))
4.7b
(cbrt (+ 1.0 (* y y)))
4.7b
(cbrt (+ 1.0 (* y y)))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
18×cbrt-div
10×associate-*r/
9×pow1 add-exp-log cbrt-prod add-sqr-sqrt flip3-+ flip-+
8×add-cube-cbrt *-un-lft-identity
7×add-cbrt-cube
4×frac-times add-log-exp
3×pow1/3 associate-*l* pow-prod-down prod-exp cbrt-unprod
2×associate-*l/
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 66
Calls
4 calls:
45.0ms
(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
3.0ms
(cbrt (+ 1.0 (* y y)))
3.0ms
(cbrt (+ 1.0 (* y y)))
3.0ms
(cbrt (+ 1.0 (* y y)))

series898.0ms

Counts
4 → 12
Calls
4 calls:
206.0ms
(* x (* (cbrt (+ 1.0 (* y y))) (cbrt (+ 1.0 (* y y)))))
263.0ms
(cbrt (+ 1.0 (* y y)))
199.0ms
(cbrt (+ 1.0 (* y y)))
228.0ms
(cbrt (+ 1.0 (* y y)))

simplify1.6s

Counts
78 → 78
Iterations

Useful iterations: 3 (608.0ms)

IterNodesCost
01251323
12981228
27831109
320591065
done50011065

prune269.0ms

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 4.6b

localize23.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt (* x (+ 1.0 (* y y))))
4.5b
(* x (+ 1.0 (* y y)))
4.5b
(* x (+ 1.0 (* y y)))
4.5b
(* x (+ 1.0 (* y y)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
10×pow1 add-exp-log add-cube-cbrt *-un-lft-identity add-cbrt-cube
9×associate-*r* associate-*l*
8×associate-*r/
4×flip3-+ flip-+ add-log-exp
3×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
2×cbrt-div
1×cbrt-prod pow1/3
Counts
4 → 77
Calls
4 calls:
13.0ms
(cbrt (* x (+ 1.0 (* y y))))
16.0ms
(* x (+ 1.0 (* y y)))
16.0ms
(* x (+ 1.0 (* y y)))
21.0ms
(* x (+ 1.0 (* y y)))

series481.0ms

Counts
4 → 12
Calls
4 calls:
259.0ms
(cbrt (* x (+ 1.0 (* y y))))
74.0ms
(* x (+ 1.0 (* y y)))
76.0ms
(* x (+ 1.0 (* y y)))
71.0ms
(* x (+ 1.0 (* y y)))

simplify1.5s

Counts
89 → 89
Iterations

Useful iterations: done (1.5s)

IterNodesCost
099988
1260959
2718826
32228810
done5001803

prune258.0ms

Pruning

6 alts after pruning (2 fresh and 4 done)

Merged error: 4.6b

regimes104.0ms

Accuracy

0% (0.2b remaining)

Error of 5.4b against oracle of 5.2b and baseline of 5.4b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
067
187
done87

end0.0ms

sample648.0ms

Algorithm
intervals
Results
340.0ms10678×body80valid