Details

Time bar (total: 9.8s)

sample61.0ms

Algorithm
intervals
Results
9.0ms331×body80valid

simplify13.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
055
175
2155
done155

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 1 expressions with local error:

0.0b
(* (+ x y) z)

rewrite25.0ms

Algorithm
rewrite-expression-head
Rules
5×add-sqr-sqrt *-un-lft-identity
4×associate-*l*
3×pow1 add-exp-log add-cube-cbrt associate-*r* add-cbrt-cube
2×associate-*l/
1×flip3-+ pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ distribute-lft-out add-log-exp unswap-sqr
Counts
1 → 21
Calls
1 calls:
23.0ms
(* (+ x y) z)

series34.0ms

Counts
1 → 3
Calls
1 calls:
34.0ms
(* (+ x y) z)

simplify3.7s

Counts
24 → 24
Iterations

Useful iterations: 2 (55.0ms)

IterNodesCost
045178
1107175
2359151
31064151
44014151
done5000151

prune54.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

3.7b
(- (* x x) (* y y))
8.6b
(* (- (* x x) (* y y)) z)
19.1b
(/ (* (- (* x x) (* y y)) z) (- x y))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
13×add-sqr-sqrt
11×*-un-lft-identity
10×add-exp-log add-cbrt-cube
7×add-cube-cbrt
5×pow1 times-frac associate-/r* add-log-exp
4×flip3-- associate-*l* associate-*l/ flip-- difference-of-squares
3×associate-*r*
2×cbrt-undiv div-exp prod-exp associate-/r/ cbrt-unprod associate-/l/ distribute-lft-out--
1×sub-neg frac-2neg diff-log pow-prod-down clear-num *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 63
Calls
3 calls:
9.0ms
(- (* x x) (* y y))
43.0ms
(* (- (* x x) (* y y)) z)
41.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

series191.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(- (* x x) (* y y))
50.0ms
(* (- (* x x) (* y y)) z)
94.0ms
(/ (* (- (* x x) (* y y)) z) (- x y))

simplify1.2s

Counts
72 → 72
Iterations

Useful iterations: done (1.2s)

IterNodesCost
01131012
1294977
21255819
done5000803

prune250.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize8.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ x y) z)
0.2b
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
4.4b
(sqrt (* (+ x y) z))
4.4b
(sqrt (* (+ x y) z))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
61×pow1
32×sqrt-pow1
23×pow-prod-down
20×associate-*l/
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-*l* add-cbrt-cube
7×associate-*r*
6×sqrt-prod pow-sqr
4×frac-times swap-sqr add-log-exp
2×associate-*r/ prod-exp *-commutative cbrt-unprod unswap-sqr
1×pow2 pow-plus sqrt-unprod rem-square-sqrt distribute-lft-out
Counts
4 → 104
Calls
4 calls:
40.0ms
(* (+ x y) z)
94.0ms
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
11.0ms
(sqrt (* (+ x y) z))
8.0ms
(sqrt (* (+ x y) z))

series381.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(* (+ x y) z)
37.0ms
(* (sqrt (* (+ x y) z)) (sqrt (* (+ x y) z)))
178.0ms
(sqrt (* (+ x y) z))
141.0ms
(sqrt (* (+ x y) z))

simplify2.6s

Counts
116 → 116
Iterations

Useful iterations: done (2.6s)

IterNodesCost
01221348
12571006
2826914
32824870
done5002864

prune264.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes121.0ms

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
055
175
done75

end0.0ms

sample615.0ms

Algorithm
intervals
Results
344.0ms10074×body80valid