Details

Time bar (total: 17.4s)

sample31.0ms

Algorithm
intervals
Results
14.0ms317×body80valid

simplify163.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11511
22511
34111
46211
57911
69511
711211
811911
912211
done12211

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
4.6b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite546.0ms

Algorithm
rewrite-expression-head
Rules
1192×times-frac
1082×add-sqr-sqrt
1078×*-un-lft-identity
819×prod-diff
814×add-cube-cbrt
275×distribute-rgt-in distribute-lft-in
129×distribute-lft-out-- difference-of-squares
104×div-inv
80×associate-/r/
42×flip3-- flip--
13×fma-neg
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×expm1-log1p-u sub-neg associate-*r/ associate-*l* log1p-expm1-u associate-/l*
2×frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod unswap-sqr
Counts
3 → 927
Calls
3 calls:
81.0ms
(- (/ y z) (/ t (- 1.0 z)))
22.0ms
(/ t (- 1.0 z))
300.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series182.0ms

Counts
3 → 9
Calls
3 calls:
64.0ms
(- (/ y z) (/ t (- 1.0 z)))
47.0ms
(/ t (- 1.0 z))
71.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify3.3s

Counts
936 → 936
Iterations

Useful iterations: done (3.2s)

IterNodesCost
0100949986
1165444871
2350733786
done500033785

prune2.1s

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
1.5b
(* x (- (/ t (- 1.0 z))))
4.4b
(/ (* x y) z)

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
58×*-un-lft-identity
51×times-frac
46×associate-*r*
38×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
13×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×associate-/r*
7×fma-def
6×pow1 associate-/r/ add-log-exp
5×div-inv
4×expm1-log1p-u log1p-expm1-u associate-/l*
3×cbrt-undiv flip3-- div-exp associate-*l* distribute-rgt-neg-out flip--
2×frac-2neg associate-*r/ prod-exp clear-num cbrt-unprod distribute-neg-frac
1×+-commutative neg-mul-1 flip3-+ unsub-neg pow-prod-down frac-add sum-log *-commutative flip-+ unswap-sqr
Counts
4 → 150
Calls
4 calls:
11.0ms
(/ t (- 1.0 z))
22.0ms
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
76.0ms
(* x (- (/ t (- 1.0 z))))
14.0ms
(/ (* x y) z)

series290.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(/ t (- 1.0 z))
98.0ms
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
95.0ms
(* x (- (/ t (- 1.0 z))))
28.0ms
(/ (* x y) z)

simplify1.6s

Counts
162 → 162
Iterations

Useful iterations: done (1.5s)

IterNodesCost
02611745
16291609
219361513
done50011478

prune752.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1 (/ z (* x y))) (* x (- (/ t (- 1.0 z)))))
0.7b
(/ 1 (/ z (* x y)))
1.5b
(* x (- (/ t (- 1.0 z))))
4.2b
(/ z (* x y))

rewrite175.0ms

Algorithm
rewrite-expression-head
Rules
96×times-frac
70×add-sqr-sqrt
68×*-un-lft-identity
56×add-cube-cbrt
46×associate-*r*
32×add-exp-log
26×fma-def
21×distribute-lft-neg-in distribute-rgt-neg-in
20×add-cbrt-cube
14×div-exp
12×div-inv
8×associate-/r*
7×pow1 cbrt-undiv
6×associate-/r/ associate-/l* distribute-lft-out-- add-log-exp difference-of-squares
5×prod-exp
4×expm1-log1p-u log1p-expm1-u
3×rec-exp 1-exp associate-*l* distribute-rgt-neg-out cbrt-unprod
2×flip3-- frac-2neg associate-*r/ clear-num flip-- distribute-neg-frac
1×+-commutative neg-mul-1 pow-flip flip3-+ unsub-neg pow-prod-down frac-add sum-log *-commutative flip-+ inv-pow unswap-sqr
Counts
4 → 188
Calls
4 calls:
52.0ms
(+ (/ 1 (/ z (* x y))) (* x (- (/ t (- 1.0 z)))))
22.0ms
(/ 1 (/ z (* x y)))
85.0ms
(* x (- (/ t (- 1.0 z))))
8.0ms
(/ z (* x y))

series249.0ms

Counts
4 → 12
Calls
4 calls:
83.0ms
(+ (/ 1 (/ z (* x y))) (* x (- (/ t (- 1.0 z)))))
41.0ms
(/ 1 (/ z (* x y)))
102.0ms
(* x (- (/ t (- 1.0 z))))
24.0ms
(/ z (* x y))

simplify1.8s

Counts
200 → 200
Iterations

Useful iterations: done (1.8s)

IterNodesCost
02822035
16771788
220271580
done50001551

prune756.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ (* x y) z) (* x (- (/ 1 (/ (- 1.0 z) t)))))
0.5b
(/ 1 (/ (- 1.0 z) t))
1.5b
(* x (- (/ 1 (/ (- 1.0 z) t))))
4.4b
(/ (* x y) z)

rewrite221.0ms

Algorithm
rewrite-expression-head
Rules
327×times-frac
222×add-sqr-sqrt
220×*-un-lft-identity
160×add-cube-cbrt
128×associate-*r*
62×distribute-lft-neg-in distribute-rgt-neg-in
30×distribute-lft-out-- difference-of-squares
22×add-exp-log associate-/r*
16×add-cbrt-cube
15×div-inv
9×div-exp
7×pow1 fma-def
6×add-log-exp
5×cbrt-undiv
4×expm1-log1p-u log1p-expm1-u associate-/l*
3×associate-*l* associate-/r/ distribute-rgt-neg-out
2×rec-exp frac-2neg 1-exp associate-*r/ prod-exp clear-num cbrt-unprod distribute-neg-frac
1×+-commutative neg-mul-1 pow-flip flip3-+ unsub-neg pow-prod-down frac-add sum-log *-commutative flip-+ inv-pow unswap-sqr
Counts
4 → 295
Calls
4 calls:
20.0ms
(+ (/ (* x y) z) (* x (- (/ 1 (/ (- 1.0 z) t)))))
17.0ms
(/ 1 (/ (- 1.0 z) t))
137.0ms
(* x (- (/ 1 (/ (- 1.0 z) t))))
10.0ms
(/ (* x y) z)

series259.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(+ (/ (* x y) z) (* x (- (/ 1 (/ (- 1.0 z) t)))))
35.0ms
(/ 1 (/ (- 1.0 z) t))
61.0ms
(* x (- (/ 1 (/ (- 1.0 z) t))))
37.0ms
(/ (* x y) z)

simplify2.3s

Counts
307 → 307
Iterations

Useful iterations: done (2.3s)

IterNodesCost
04604206
111243176
225702895
done50002852

prune1.0s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

regimes281.0ms

Accuracy

57.2% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 5.6b

bsearch1.0ms

simplify12.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
03370
15266
26566
36866
done6866

end0.0ms

sample1.3s

Algorithm
intervals
Results
552.0ms10056×body80valid