Details

Time bar (total: 14.2s)

sample263.0ms

Algorithm
intervals
Results
12.0ms369×body80valid

simplify109.0ms

Counts
1 → 1
Iterations
IterNodes
done31
431
326
216
19
06

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize52.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x x) y)

rewrite20.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
2×add-sqr-sqrt
1×pow1 sub-neg *-un-lft-identity flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt flip-- difference-of-squares
Counts
1 → 13
Calls
1 calls:
18.0ms
(- (* x x) y)

series79.0ms

Counts
1 → 3
Calls
1 calls:
79.0ms
(- (* x x) y)

simplify1.8s

Counts
16 → 16
Iterations
IterNodes
done5001
41528
3550
2194
179
032

prune69.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (- (* x x) y))
0.0b
(- (* x x) y)
0.0b
(- (* x x) y)
0.1b
(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
26×sqrt-prod
20×pow1
14×sqrt-div
13×*-un-lft-identity add-cube-cbrt
9×sqrt-pow1 flip3-- pow1/2 swap-sqr flip--
8×add-log-exp
7×associate-*r* associate-*l* difference-of-squares
6×add-cbrt-cube add-exp-log
5×pow-prod-up
4×frac-times unswap-sqr
3×pow-prod-down pow-sqr
2×sub-neg diff-log associate-*l/ associate-*r/
1×pow2 rem-sqrt-square rem-square-sqrt pow-plus sqrt-unprod prod-exp *-commutative cbrt-unprod
Counts
4 → 102
Calls
4 calls:
17.0ms
(sqrt (- (* x x) y))
13.0ms
(- (* x x) y)
11.0ms
(- (* x x) y)
76.0ms
(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

series169.0ms

Counts
4 → 12
Calls
4 calls:
72.0ms
(sqrt (- (* x x) y))
26.0ms
(- (* x x) y)
27.0ms
(- (* x x) y)
43.0ms
(* (sqrt (- (* x x) y)) (sqrt (- (* x x) y)))

simplify4.0s

Counts
114 → 114
Iterations
IterNodes
done5001
44966
31454
2567
1245
0112

prune457.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize66.0ms

Local error

Found 4 expressions with local error:

1.2b
(+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y)))
2.0b
(- (* (* x x) (* (* x x) (* x x))) (* y (* y y)))
4.6b
(* (* x x) y)
38.4b
(/ (- (* (* x x) (* (* x x) (* x x))) (* y (* y y))) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))))

rewrite683.0ms

Algorithm
rewrite-expression-head
Rules
15×add-sqr-sqrt
14×*-un-lft-identity add-cube-cbrt
12×times-frac
11×add-cbrt-cube add-exp-log add-log-exp
10×cube-unmult
9×pow1
5×difference-cubes
4×associate-/l*
3×associate-/r* sum-log associate-*r* pow-prod-down prod-exp cbrt-unprod
2×flip3-+ flip3-- associate-/r/ flip-+ flip-- associate-/l/
1×cbrt-undiv +-commutative associate-+r+ clear-num sub-neg frac-2neg diff-log div-sub div-exp associate-*l* *-commutative div-inv unswap-sqr
Counts
4 → 81
Calls
4 calls:
54.0ms
(+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y)))
159.0ms
(- (* (* x x) (* (* x x) (* x x))) (* y (* y y)))
16.0ms
(* (* x x) y)
451.0ms
(/ (- (* (* x x) (* (* x x) (* x x))) (* y (* y y))) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))))

series351.0ms

Counts
4 → 12
Calls
4 calls:
77.0ms
(+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y)))
87.0ms
(- (* (* x x) (* (* x x) (* x x))) (* y (* y y)))
35.0ms
(* (* x x) y)
152.0ms
(/ (- (* (* x x) (* (* x x) (* x x))) (* y (* y y))) (+ (* (* x x) (* x x)) (+ (* y y) (* (* x x) y))))

simplify2.2s

Counts
93 → 93
Iterations
IterNodes
done5002
21848
1453
0147

prune488.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* 1/2 (/ y x)))
0.0b
(sqrt (- (* x x) y))
0.0b
(- (* x x) y)
0.1b
(* (sqrt (- (* x x) y)) (- x (* 1/2 (/ y x))))

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt
9×flip3-- sqrt-prod flip--
8×*-un-lft-identity sqrt-div add-cube-cbrt add-log-exp
7×pow1 associate-*l*
6×add-cbrt-cube add-exp-log
4×frac-times sub-neg
3×associate-*r* difference-of-squares
2×distribute-rgt-in distribute-lft-in diff-log associate-*l/ associate-*r/ unswap-sqr
1×rem-sqrt-square sqrt-pow1 pow1/2 pow-prod-down prod-exp *-commutative cbrt-unprod
Counts
4 → 76
Calls
4 calls:
8.0ms
(- x (* 1/2 (/ y x)))
17.0ms
(sqrt (- (* x x) y))
13.0ms
(- (* x x) y)
45.0ms
(* (sqrt (- (* x x) y)) (- x (* 1/2 (/ y x))))

series270.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(- x (* 1/2 (/ y x)))
77.0ms
(sqrt (- (* x x) y))
42.0ms
(- (* x x) y)
118.0ms
(* (sqrt (- (* x x) y)) (- x (* 1/2 (/ y x))))

simplify1.3s

Counts
88 → 88
Iterations
IterNodes
done5000
21130
1352
0135

prune384.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes274.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done7
17
06

end0.0ms

sample847.0ms

Algorithm
intervals
Results
476.0ms10713×body80valid
0.0ms1×body640valid