Details

Time bar (total: 21.9s)

sample38.0ms

Algorithm
intervals
Results
16.0ms309×body80valid

simplify1.1s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08164
113164
220164
334164
453164
564164
675164
796164
8136164
9377164
101734164
done5000164

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

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

rewrite26.0ms

Algorithm
rewrite-expression-head
Rules
8×add-sqr-sqrt
6×*-un-lft-identity
5×associate-*l*
4×pow1 add-cbrt-cube add-exp-log add-cube-cbrt add-log-exp
3×associate-*r*
2×associate-*l/
1×+-commutative sum-log flip3-+ flip3-- pow-prod-down prod-exp *-commutative cbrt-unprod flip-+ flip-- distribute-lft-out-- difference-of-squares unswap-sqr
Counts
2 → 33
Calls
2 calls:
6.0ms
(+ (* x y) (* (- 1.0 x) z))
18.0ms
(* (- 1.0 x) z)

series70.0ms

Counts
2 → 6
Calls
2 calls:
33.0ms
(+ (* x y) (* (- 1.0 x) z))
37.0ms
(* (- 1.0 x) z)

simplify933.0ms

Counts
39 → 39
Iterations

Useful iterations: 2 (136.0ms)

IterNodesCost
0717897
11907034
27786834
done50016834

prune146.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
2.9b
(* (- (* 1.0 1.0) (* x x)) z)
5.3b
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

rewrite63.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
10×add-cbrt-cube add-exp-log
9×add-sqr-sqrt
7×add-cube-cbrt
5×pow1 add-log-exp
4×associate-/r* times-frac associate-*l* associate-*l/
3×associate-*r*
2×cbrt-undiv flip3-+ flip3-- div-exp prod-exp associate-/r/ cbrt-unprod flip-+ flip-- distribute-lft-out associate-/l/
1×+-commutative clear-num sum-log frac-2neg pow-prod-down *-commutative div-inv associate-/l* difference-of-squares unswap-sqr
Counts
3 → 59
Calls
3 calls:
18.0ms
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
22.0ms
(* (- (* 1.0 1.0) (* x x)) z)
22.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

series178.0ms

Counts
3 → 9
Calls
3 calls:
74.0ms
(+ (* x y) (/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x)))
41.0ms
(* (- (* 1.0 1.0) (* x x)) z)
62.0ms
(/ (* (- (* 1.0 1.0) (* x x)) z) (+ 1.0 x))

simplify1.3s

Counts
68 → 68
Iterations

Useful iterations: 2 (404.0ms)

IterNodesCost
012220780
138217689
2226216969
done500116969

prune322.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ 1 (/ (/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x)) z)))
0.0b
(/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x))
0.1b
(/ (/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x)) z)
0.3b
(/ 1 (/ (/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x)) z))

rewrite959.0ms

Algorithm
rewrite-expression-head
Rules
6042×times-frac
4233×*-un-lft-identity
2857×add-sqr-sqrt
2107×add-cube-cbrt
688×distribute-lft-out
375×distribute-lft-out-- difference-of-squares
360×associate-/r*
207×associate-/r/
141×associate-/l*
109×div-inv
87×flip3-+ flip-+
52×add-exp-log
35×div-exp
32×add-cbrt-cube
19×cbrt-undiv
17×flip3-- flip--
6×add-log-exp
5×pow1
4×rec-exp 1-exp
3×clear-num frac-2neg
2×associate-/l/
1×+-commutative sum-log pow-flip inv-pow
Counts
4 → 2089
Calls
4 calls:
397.0ms
(+ (* x y) (/ 1 (/ (/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x)) z)))
42.0ms
(/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x))
79.0ms
(/ (/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x)) z)
146.0ms
(/ 1 (/ (/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x)) z))

series184.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ (* x y) (/ 1 (/ (/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x)) z)))
32.0ms
(/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x))
40.0ms
(/ (/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x)) z)
57.0ms
(/ 1 (/ (/ (/ (+ 1.0 x) (+ 1.0 x)) (- 1.0 x)) z))

simplify3.4s

Counts
2101 → 2101
Iterations

Useful iterations: done (2.9s)

IterNodesCost
019161405483
done50001163995

prune8.2s

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0.0b

localize45.0ms

Local error

Found 4 expressions with local error:

0.1b
(* (* (- 1.0 x) z) (* (- 1.0 x) z))
0.2b
(* (* x y) (* x y))
3.2b
(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
27.0b
(/ (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))) (- (* x y) (* (- 1.0 x) z)))

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
82×pow1
34×pow-prod-down
30×add-cbrt-cube add-exp-log
16×prod-exp cbrt-unprod
14×associate-*l/
13×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
12×times-frac
9×flip3-- flip--
8×pow-sqr pow-prod-up
6×add-log-exp
5×difference-of-squares
4×frac-times pow-plus associate-/l*
3×associate-/r*
2×pow2 swap-sqr associate-*r* associate-*l* associate-*r/ associate-/r/ *-commutative associate-/l/
1×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-sub div-exp div-inv
Counts
4 → 125
Calls
4 calls:
80.0ms
(* (* (- 1.0 x) z) (* (- 1.0 x) z))
35.0ms
(* (* x y) (* x y))
23.0ms
(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
86.0ms
(/ (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))) (- (* x y) (* (- 1.0 x) z)))

series389.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* (* (- 1.0 x) z) (* (- 1.0 x) z))
49.0ms
(* (* x y) (* x y))
122.0ms
(- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z)))
167.0ms
(/ (- (* (* x y) (* x y)) (* (* (- 1.0 x) z) (* (- 1.0 x) z))) (- (* x y) (* (- 1.0 x) z)))

simplify2.2s

Counts
137 → 137
Iterations

Useful iterations: done (2.2s)

IterNodesCost
018943122
157234355
2337531275
done500131115

prune450.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes292.0ms

Accuracy

0% (0.0b remaining)

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

bsearch0.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
08164
111164
done11164

end0.0ms

sample1.2s

Algorithm
intervals
Results
876.0ms10127×body80valid