Details

Time bar (total: 5.2s)

sample25.0ms

Algorithm
intervals
Results
12.0ms324×body80valid

simplify165.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1167
2427
3827
41667
52947
63067
done3067

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize8.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) (+ z 1.0))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
7×*-un-lft-identity
6×flip3-+ flip-+
5×add-sqr-sqrt
4×frac-times associate-*r* associate-*l*
3×pow1 add-exp-log add-cube-cbrt add-cbrt-cube
2×associate-*r/ associate-*l/ distribute-lft-out
1×distribute-rgt-in distribute-lft-in pow-prod-down prod-exp *-commutative cbrt-unprod add-log-exp unswap-sqr
Counts
1 → 30
Calls
1 calls:
49.0ms
(* (+ x y) (+ z 1.0))

series39.0ms

Counts
1 → 3
Calls
1 calls:
39.0ms
(* (+ x y) (+ z 1.0))

simplify888.0ms

Counts
33 → 33
Iterations

Useful iterations: done (886.0ms)

IterNodesCost
079415
1277396
21321370
done5000368

prune85.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (* z (+ x y)) (* 1.0 (+ x y)))
0.0b
(* z (+ x y))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
10×associate-*r/
6×add-sqr-sqrt *-un-lft-identity flip3-+ flip-+
4×pow1 add-exp-log add-cube-cbrt associate-*r* frac-add add-cbrt-cube add-log-exp
3×distribute-rgt-in distribute-lft-in associate-*l*
2×associate-+l+ associate-+r+
1×+-commutative distribute-rgt-out pow-prod-down prod-exp sum-log *-commutative cbrt-unprod distribute-lft-out unswap-sqr
Counts
2 → 43
Calls
2 calls:
20.0ms
(+ (* z (+ x y)) (* 1.0 (+ x y)))
26.0ms
(* z (+ x y))

series95.0ms

Counts
2 → 6
Calls
2 calls:
61.0ms
(+ (* z (+ x y)) (* 1.0 (+ x y)))
33.0ms
(* z (+ x y))

simplify846.0ms

Counts
49 → 49
Iterations

Useful iterations: 2 (213.0ms)

IterNodesCost
0101683
1333583
21559533
done5000533

prune163.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize32.0ms

Local error

Found 4 expressions with local error:

2.7b
(- (* x x) (* y y))
6.8b
(+ (* 1.0 (- (* x x) (* y y))) (* z (- (* x x) (* y y))))
10.6b
(* z (- (* x x) (* y y)))
40.2b
(/ (* (- x y) (+ (* 1.0 (- (* x x) (* y y))) (* z (- (* x x) (* y y))))) (* (- x y) (- x y)))

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
42×associate-*r/
31×flip3-- flip--
20×associate-/l/
18×add-exp-log add-cbrt-cube
16×frac-times frac-add
8×add-sqr-sqrt associate-/r/ add-log-exp
7×sub-neg
6×pow1 distribute-rgt-in add-cube-cbrt *-un-lft-identity distribute-lft-in
5×prod-exp cbrt-unprod
4×cbrt-undiv associate-+l+ associate-+r+ flip3-+ div-exp associate-*r* associate-*l/ flip-+
3×associate-*l*
2×difference-of-squares
1×+-commutative distribute-rgt-out frac-2neg times-frac diff-log pow-prod-down clear-num associate-/r* sum-log *-commutative div-inv associate-/l* unswap-sqr
Counts
4 → 111
Calls
4 calls:
16.0ms
(- (* x x) (* y y))
54.0ms
(+ (* 1.0 (- (* x x) (* y y))) (* z (- (* x x) (* y y))))
43.0ms
(* z (- (* x x) (* y y)))
123.0ms
(/ (* (- x y) (+ (* 1.0 (- (* x x) (* y y))) (* z (- (* x x) (* y y))))) (* (- x y) (- x y)))

series330.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(- (* x x) (* y y))
92.0ms
(+ (* 1.0 (- (* x x) (* y y))) (* z (- (* x x) (* y y))))
86.0ms
(* z (- (* x x) (* y y)))
108.0ms
(/ (* (- x y) (+ (* 1.0 (- (* x x) (* y y))) (* z (- (* x x) (* y y))))) (* (- x y) (- x y)))

simplify631.0ms

Counts
123 → 123
Iterations

Useful iterations: done (625.0ms)

IterNodesCost
02183626
18142869
done50002369

prune533.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes137.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
077
1107
done107

end0.0ms

sample898.0ms

Algorithm
intervals
Results
421.0ms9989×body80valid
0.0ms2×body640valid
0.0ms2×body1280valid
0.0ms2×body320valid