Details

Time bar (total: 7.7s)

sample30.0ms

Algorithm
intervals
Results
11.0ms348×body80valid

simplify8.0ms

Counts
1 → 1
Iterations
IterNodes
done22
322
220
114
06

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.4b

localize8.0ms

Local error

Found 1 expressions with local error:

5.0b
(* x (+ 1.0 (* y y)))

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
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:
19.0ms
(* x (+ 1.0 (* y y)))

series58.0ms

Counts
1 → 3
Calls
1 calls:
57.0ms
(* x (+ 1.0 (* y y)))

simplify1.0s

Counts
25 → 25
Iterations
IterNodes
done5000
2772
1161
050

prune179.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 5.1b

localize22.0ms

Local error

Found 3 expressions with local error:

0.1b
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
5.0b
(sqrt (+ 1.0 (* y y)))
5.0b
(sqrt (+ 1.0 (* y y)))

rewrite65.0ms

Algorithm
rewrite-expression-head
Rules
16×sqrt-div
10×pow1
9×add-sqr-sqrt sqrt-prod
8×flip3-+ add-cbrt-cube associate-*r/ add-exp-log flip-+
7×*-un-lft-identity add-cube-cbrt
6×associate-*r*
4×frac-times
3×pow-prod-down prod-exp cbrt-unprod add-log-exp
2×rem-sqrt-square sqrt-pow1 pow1/2 associate-*l/
1×associate-*l* *-commutative
Counts
3 → 59
Calls
3 calls:
47.0ms
(* (* 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)))

series195.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(* (* x (sqrt (+ 1.0 (* y y)))) (sqrt (+ 1.0 (* y y))))
60.0ms
(sqrt (+ 1.0 (* y y)))
57.0ms
(sqrt (+ 1.0 (* y y)))

simplify1.0s

Counts
68 → 68
Iterations
IterNodes
done5002
21438
1276
0102

prune328.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 5.1b

localize7.0ms

Local error

Found 1 expressions with local error:

5.0b
(* x (+ 1.0 (* y y)))

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt
3×pow1 *-un-lft-identity add-cbrt-cube associate-*r* associate-*l* add-exp-log add-cube-cbrt
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:
15.0ms
(* x (+ 1.0 (* y y)))

series55.0ms

Counts
1 → 3
Calls
1 calls:
55.0ms
(* x (+ 1.0 (* y y)))

simplify824.0ms

Counts
25 → 25
Iterations
IterNodes
done5000
2772
1161
050

prune126.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 5.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))
5.0b
(sqrt (+ 1.0 (* y y)))
5.2b
(cbrt (+ 1.0 (* y y)))
5.2b
(cbrt (+ 1.0 (* y y)))

rewrite33.0ms

Algorithm
rewrite-expression-head
Rules
18×add-sqr-sqrt
11×*-un-lft-identity add-cube-cbrt sqrt-prod
10×cbrt-prod
9×associate-*r*
7×pow1
6×cbrt-div add-cbrt-cube add-exp-log
4×flip3-+ sqrt-div flip-+ add-log-exp
3×associate-*l* unswap-sqr
2×pow1/3 associate-*r/
1×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 69
Calls
4 calls:
19.0ms
(* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))
5.0ms
(sqrt (+ 1.0 (* y y)))
3.0ms
(cbrt (+ 1.0 (* y y)))
4.0ms
(cbrt (+ 1.0 (* y y)))

series732.0ms

Counts
4 → 12
Calls
4 calls:
249.0ms
(* (fabs (cbrt (+ 1.0 (* y y)))) (sqrt (cbrt (+ 1.0 (* y y)))))
49.0ms
(sqrt (+ 1.0 (* y y)))
246.0ms
(cbrt (+ 1.0 (* y y)))
187.0ms
(cbrt (+ 1.0 (* y y)))

simplify1.3s

Counts
81 → 81
Iterations
IterNodes
done5000
21940
1473
0198

prune511.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 5.1b

regimes405.0ms

Accuracy

0% (0.2b remaining)

Error of 5.3b against oracle of 5.1b and baseline of 5.3b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done11
111
08

end0.0ms

sample726.0ms

Algorithm
intervals
Results
330.0ms10691×body80valid