Details

Time bar (total: 29.5s)

sample45.0ms

Algorithm
intervals
Results
18.0ms290×body80valid

simplify29.0ms

Counts
1 → 1
Iterations
IterNodes
done8
28
17
04

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 1 expressions with local error:

0.0b
(- (* x y) x)

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
3×add-log-exp
1×add-sqr-sqrt pow1 sub-neg *-un-lft-identity flip3-- add-cbrt-cube diff-log add-exp-log add-cube-cbrt insert-posit16 flip--
Counts
1 → 13
Calls
1 calls:
36.0ms
(- (* x y) x)

series67.0ms

Counts
1 → 3
Calls
1 calls:
66.0ms
(- (* x y) x)

simplify10.0s

Counts
16 → 16
Iterations
IterNodes
done5000
54324
41095
3445
2163
161
027

prune165.0ms

Pruning

2 alts after pruning (1 fresh and 1 done)

Merged error: 0.0b

localize64.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (* x y) x)
0.0b
(sqrt (- (* x y) x))
0.0b
(sqrt (- (* x y) x))
0.2b
(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

rewrite261.0ms

Algorithm
rewrite-expression-head
Rules
28×add-sqr-sqrt
24×sqrt-prod
21×pow1
16×sqrt-div
14×*-un-lft-identity add-cube-cbrt
10×sqrt-pow1 pow1/2
9×flip3-- flip--
8×swap-sqr
6×add-cbrt-cube associate-*r* associate-*l* add-exp-log add-log-exp
5×pow-prod-up
4×frac-times insert-posit16 unswap-sqr
3×pow-prod-down pow-sqr
2×rem-sqrt-square associate-*l/ associate-*r/
1×pow2 sub-neg rem-square-sqrt pow-plus sqrt-unprod diff-log prod-exp *-commutative cbrt-unprod
Counts
4 → 103
Calls
4 calls:
36.0ms
(- (* x y) x)
26.0ms
(sqrt (- (* x y) x))
27.0ms
(sqrt (- (* x y) x))
160.0ms
(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

series270.0ms

Counts
4 → 12
Calls
4 calls:
50.0ms
(- (* x y) x)
95.0ms
(sqrt (- (* x y) x))
64.0ms
(sqrt (- (* x y) x))
62.0ms
(* (sqrt (- (* x y) x)) (sqrt (- (* x y) x)))

simplify4.3s

Counts
115 → 115
Iterations
IterNodes
done5002
31753
2607
1230
0108

prune895.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize211.0ms

Local error

Found 4 expressions with local error:

0.0b
(sqrt (sqrt (- (* x y) x)))
0.2b
(* (* (sqrt (sqrt (- (* x y) x))) (sqrt (sqrt (- (* x y) x)))) (* (sqrt (sqrt (- (* x y) x))) (sqrt (sqrt (- (* x y) x)))))
0.3b
(* (sqrt (sqrt (- (* x y) x))) (sqrt (sqrt (- (* x y) x))))
0.3b
(* (sqrt (sqrt (- (* x y) x))) (sqrt (sqrt (- (* x y) x))))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
516×sqrt-pow1
484×sqrt-div
387×pow1
262×pow-prod-up
258×pow1/2
144×frac-times
142×sqrt-prod
121×flip3-- flip--
112×pow-sqr
92×add-sqr-sqrt
81×pow-prod-down
48×associate-*l/ associate-*r/
31×swap-sqr
30×*-un-lft-identity add-cube-cbrt
20×pow-plus add-cbrt-cube add-exp-log
19×associate-*r* associate-*l* unswap-sqr
15×pow2
10×prod-exp cbrt-unprod
7×sqrt-unprod
4×insert-posit16 add-log-exp
3×rem-square-sqrt *-commutative
2×rem-sqrt-square
Counts
4 → 448
Calls
4 calls:
24.0ms
(sqrt (sqrt (- (* x y) x)))
681.0ms
(* (* (sqrt (sqrt (- (* x y) x))) (sqrt (sqrt (- (* x y) x)))) (* (sqrt (sqrt (- (* x y) x))) (sqrt (sqrt (- (* x y) x)))))
208.0ms
(* (sqrt (sqrt (- (* x y) x))) (sqrt (sqrt (- (* x y) x))))
163.0ms
(* (sqrt (sqrt (- (* x y) x))) (sqrt (sqrt (- (* x y) x))))

series373.0ms

Counts
4 → 12
Calls
4 calls:
158.0ms
(sqrt (sqrt (- (* x y) x)))
51.0ms
(* (* (sqrt (sqrt (- (* x y) x))) (sqrt (sqrt (- (* x y) x)))) (* (sqrt (sqrt (- (* x y) x))) (sqrt (sqrt (- (* x y) x)))))
68.0ms
(* (sqrt (sqrt (- (* x y) x))) (sqrt (sqrt (- (* x y) x))))
96.0ms
(* (sqrt (sqrt (- (* x y) x))) (sqrt (sqrt (- (* x y) x))))

simplify8.3s

Counts
460 → 460
Iterations
IterNodes
done5005
34852
22191
11213
0396

prune2.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes442.0ms

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
done5
15
04

end0.0ms

sample760.0ms

Algorithm
intervals
Results
486.0ms9221×body80valid