Details

Time bar (total: 8.4s)

sample22.0ms

Algorithm
intervals
Results
9.0ms330×body80valid

simplify77.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11511
22511
34011
46011
57811
69311
710911
811611
911911
done11911

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
6.3b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite293.0ms

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:
41.0ms
(- (/ y z) (/ t (- 1.0 z)))
6.0ms
(/ t (- 1.0 z))
153.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series125.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- (/ y z) (/ t (- 1.0 z)))
34.0ms
(/ t (- 1.0 z))
54.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify641.0ms

Counts
936 → 936
Iterations

Useful iterations: done (589.0ms)

IterNodesCost
0100949986
1165744871
done500144159

prune1.9s

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (/ (* x y) z) (* (- (/ t (- 1.0 z))) x))
2.2b
(* (- (/ t (- 1.0 z))) x)
5.7b
(/ (* x y) z)

rewrite59.0ms

Algorithm
rewrite-expression-head
Rules
60×add-sqr-sqrt
58×*-un-lft-identity
51×times-frac
46×associate-*l*
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 distribute-lft-neg-out flip3-- div-exp associate-*r* flip--
2×frac-2neg associate-*l/ 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:
5.0ms
(/ t (- 1.0 z))
9.0ms
(+ (/ (* x y) z) (* (- (/ t (- 1.0 z))) x))
36.0ms
(* (- (/ t (- 1.0 z))) x)
3.0ms
(/ (* x y) z)

series160.0ms

Counts
4 → 12
Calls
4 calls:
35.0ms
(/ t (- 1.0 z))
64.0ms
(+ (/ (* x y) z) (* (- (/ t (- 1.0 z))) x))
42.0ms
(* (- (/ t (- 1.0 z))) x)
19.0ms
(/ (* x y) z)

simplify785.0ms

Counts
162 → 162
Iterations

Useful iterations: done (782.0ms)

IterNodesCost
02601707
16591613
226021514
done50011513

prune406.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1 (/ z (* x y))) (* (- (/ t (- 1.0 z))) x))
0.4b
(/ 1 (/ z (* x y)))
2.2b
(* (- (/ t (- 1.0 z))) x)
5.6b
(/ z (* x y))

rewrite78.0ms

Algorithm
rewrite-expression-head
Rules
96×times-frac
70×add-sqr-sqrt
68×*-un-lft-identity
56×add-cube-cbrt
46×associate-*l*
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×distribute-lft-neg-out rec-exp 1-exp associate-*r* cbrt-unprod
2×flip3-- frac-2neg associate-*l/ 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:
22.0ms
(+ (/ 1 (/ z (* x y))) (* (- (/ t (- 1.0 z))) x))
7.0ms
(/ 1 (/ z (* x y)))
39.0ms
(* (- (/ t (- 1.0 z))) x)
3.0ms
(/ z (* x y))

series143.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(+ (/ 1 (/ z (* x y))) (* (- (/ t (- 1.0 z))) x))
21.0ms
(/ 1 (/ z (* x y)))
47.0ms
(* (- (/ t (- 1.0 z))) x)
20.0ms
(/ z (* x y))

simplify1.2s

Counts
200 → 200
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02751997
16841817
231201581
done50011580

prune457.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize21.0ms

Local error

Found 4 expressions with local error:

5.6b
(/ z (* x y))
14.3b
(cbrt (/ z (* x y)))
14.3b
(cbrt (/ z (* x y)))
14.3b
(cbrt (/ z (* x y)))

rewrite11.0ms

Algorithm
rewrite-expression-head
Rules
21×cbrt-prod
12×add-sqr-sqrt add-cube-cbrt *-un-lft-identity times-frac
9×add-exp-log add-cbrt-cube
4×pow1 expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×cbrt-div pow1/3 associate-/l*
2×cbrt-undiv div-exp
1×frac-2neg prod-exp clear-num associate-/r* cbrt-unprod
Counts
4 → 77
Calls
4 calls:
3.0ms
(/ z (* x y))
2.0ms
(cbrt (/ z (* x y)))
2.0ms
(cbrt (/ z (* x y)))
2.0ms
(cbrt (/ z (* x y)))

series277.0ms

Counts
4 → 12
Calls
4 calls:
25.0ms
(/ z (* x y))
79.0ms
(cbrt (/ z (* x y)))
85.0ms
(cbrt (/ z (* x y)))
87.0ms
(cbrt (/ z (* x y)))

simplify608.0ms

Counts
89 → 89
Iterations

Useful iterations: 3 (156.0ms)

IterNodesCost
093857
1180836
2519743
31852725
done5000725

prune285.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes171.0ms

Accuracy

44.3% (3.1b remaining)

Error of 3.2b against oracle of 0.0b and baseline of 5.7b

bsearch134.0ms

Steps
ItersRangePoint
7
9.202612900796972e+274
1.488689902938059e+277
1.0560483050570198e+277
8
4.9349290690944194e+48
1.2519756596964722e+53
6.527612128984634e+48
9
-1.88993376364928e+24
-7.995242360819531e+16
-1.1148798322517719e+21

simplify7.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
03272
14968
26168
36568
done6568

end0.0ms

sample560.0ms

Algorithm
intervals
Results
305.0ms10181×body80valid