Details

Time bar (total: 43.0s)

sample39.0ms

Algorithm
intervals
Results
15.0ms330×body80valid

simplify7.2s

Counts
1 → 1
Iterations
IterNodes
done5006
124096
112143
101007
9526
8263
7120
671
552
443
336
225
115
06

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 2 expressions with local error:

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

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
6×add-sqr-sqrt *-un-lft-identity
4×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube add-log-exp
3×associate-*l*
2×distribute-rgt-in associate-+r+ distribute-lft-in flip3-+ associate-*r/ flip-+
1×+-commutative pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 36
Calls
2 calls:
14.0ms
(+ x (* y (+ z x)))
47.0ms
(* y (+ z x))

series100.0ms

Counts
2 → 6
Calls
2 calls:
49.0ms
(+ x (* y (+ z x)))
50.0ms
(* y (+ z x))

simplify10.0s

Counts
42 → 42
Iterations
IterNodes
done5000
34543
2712
1202
067

prune387.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize56.0ms

Local error

Found 4 expressions with local error:

0.0b
(- x (* y (+ z x)))
0.3b
(* (* y (+ z x)) (* y (+ z x)))
4.0b
(- (* x x) (* (* y (+ z x)) (* y (+ z x))))
28.6b
(/ (- (* x x) (* (* y (+ z x)) (* y (+ z x)))) (- x (* y (+ z x))))

rewrite376.0ms

Algorithm
rewrite-expression-head
Rules
43×pow1
18×add-exp-log add-cbrt-cube
17×pow-prod-down
14×associate-*r/
13×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
12×times-frac
9×distribute-rgt-in distribute-lft-in
8×prod-exp cbrt-unprod add-log-exp
6×flip3-+ flip-+ associate--r+
5×difference-of-squares
4×frac-times flip3-- pow-sqr pow-prod-up flip-- associate-/l*
3×associate-/r*
2×sub-neg pow-plus diff-log associate-*l/ associate-/r/ associate-/l/
1×cbrt-undiv pow2 frac-2neg div-sub swap-sqr div-exp associate-*r* associate-*l* clear-num *-commutative div-inv
Counts
4 → 113
Calls
4 calls:
12.0ms
(- x (* y (+ z x)))
107.0ms
(* (* y (+ z x)) (* y (+ z x)))
201.0ms
(- (* x x) (* (* y (+ z x)) (* y (+ z x))))
48.0ms
(/ (- (* x x) (* (* y (+ z x)) (* y (+ z x)))) (- x (* y (+ z x))))

series588.0ms

Counts
4 → 12
Calls
4 calls:
69.0ms
(- x (* y (+ z x)))
62.0ms
(* (* y (+ z x)) (* y (+ z x)))
168.0ms
(- (* x x) (* (* y (+ z x)) (* y (+ z x))))
288.0ms
(/ (- (* x x) (* (* y (+ z x)) (* y (+ z x)))) (- x (* y (+ z x))))

simplify4.3s

Counts
125 → 125
Iterations
IterNodes
done5002
22160
1554
0179

prune1.2s

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.0b
(* y (+ z x))
0.2b
(* (sqrt (* y (+ z x))) (sqrt (* y (+ z x))))
0.6b
(sqrt (* y (+ z x)))
0.6b
(sqrt (* y (+ z x)))

rewrite232.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*r/
16×sqrt-div
14×add-sqr-sqrt
12×*-un-lft-identity pow1/2
10×add-cube-cbrt pow-prod-up
9×flip3-+ flip-+
8×add-exp-log associate-*r* add-cbrt-cube
7×associate-*l*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
2×associate-*l/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 distribute-rgt-in distribute-lft-in pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 106
Calls
4 calls:
38.0ms
(* y (+ z x))
121.0ms
(* (sqrt (* y (+ z x))) (sqrt (* y (+ z x))))
15.0ms
(sqrt (* y (+ z x)))
15.0ms
(sqrt (* y (+ z x)))

series325.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(* y (+ z x))
50.0ms
(* (sqrt (* y (+ z x))) (sqrt (* y (+ z x))))
100.0ms
(sqrt (* y (+ z x)))
127.0ms
(sqrt (* y (+ z x)))

simplify13.5s

Counts
118 → 118
Iterations
IterNodes
done5012
34966
2924
1306
0121

prune1.1s

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes355.0ms

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
done9
19
06

end0.0ms

sample3.0s

Algorithm
intervals
Results
1.7s10129×body80valid