Details

Time bar (total: 16.4s)

sample28.0ms

Algorithm
intervals
Results
10.0ms328×body80valid

simplify137.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.4b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
7.1b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite554.0ms

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:
23.0ms
(/ t (- 1.0 z))
97.0ms
(- (/ y z) (/ t (- 1.0 z)))
308.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series157.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ t (- 1.0 z))
51.0ms
(- (/ y z) (/ t (- 1.0 z)))
56.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify3.3s

Counts
936 → 936
Iterations

Useful iterations: done (3.2s)

IterNodesCost
0100949986
1165444871
2350833786
done500033785

prune2.3s

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.1b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
3.6b
(* x (- (/ t (- 1.0 z))))
7.0b
(/ (* x y) z)

rewrite134.0ms

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:
12.0ms
(/ t (- 1.0 z))
17.0ms
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
84.0ms
(* x (- (/ t (- 1.0 z))))
10.0ms
(/ (* x y) z)

series256.0ms

Counts
4 → 12
Calls
4 calls:
42.0ms
(/ t (- 1.0 z))
94.0ms
(+ (/ (* x y) z) (* x (- (/ t (- 1.0 z)))))
87.0ms
(* x (- (/ t (- 1.0 z))))
32.0ms
(/ (* x y) z)

simplify1.5s

Counts
162 → 162
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02611745
16291609
219361513
done50011478

prune640.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
3.6b
(* x (- (/ t (- 1.0 z))))
4.7b
(fma (* x y) (/ 1 z) (* x (- (/ t (- 1.0 z)))))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
55×add-sqr-sqrt
53×*-un-lft-identity
46×associate-*r*
45×times-frac
33×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
10×distribute-lft-out-- difference-of-squares
7×add-exp-log add-cbrt-cube
6×associate-/r/
5×pow1 associate-/r*
3×expm1-log1p-u flip3-- associate-*l* flip-- log1p-expm1-u div-inv associate-/l* add-log-exp
1×cbrt-undiv neg-mul-1 frac-2neg associate-*r/ div-exp pow-prod-down prod-exp clear-num *-commutative distribute-rgt-neg-out cbrt-unprod fma-udef distribute-neg-frac unswap-sqr
Counts
3 → 114
Calls
3 calls:
18.0ms
(/ t (- 1.0 z))
62.0ms
(* x (- (/ t (- 1.0 z))))
1.0ms
(fma (* x y) (/ 1 z) (* x (- (/ t (- 1.0 z)))))

series292.0ms

Counts
3 → 9
Calls
3 calls:
68.0ms
(/ t (- 1.0 z))
110.0ms
(* x (- (/ t (- 1.0 z))))
113.0ms
(fma (* x y) (/ 1 z) (* x (- (/ t (- 1.0 z)))))

simplify2.6s

Counts
123 → 123
Iterations

Useful iterations: done (2.6s)

IterNodesCost
02101420
14801333
212971227
343211178
done50001177

prune484.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (- 1.0 z))
0.4b
(cbrt (- 1.0 z))
1.5b
(* (- (/ x (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))) (/ t (cbrt (- 1.0 z))))
7.0b
(/ (* x y) z)

rewrite147.0ms

Algorithm
rewrite-expression-head
Rules
46×add-sqr-sqrt
38×*-un-lft-identity
35×times-frac
34×associate-*l*
30×cbrt-div associate-*r*
28×add-cube-cbrt
26×cbrt-prod
18×associate-/r/
15×distribute-lft-neg-in flip3-- distribute-rgt-neg-in flip--
14×add-exp-log
13×add-cbrt-cube
9×frac-times
6×pow1
5×associate-*r/ associate-*l/ distribute-lft-out-- difference-of-squares
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×cbrt-undiv div-exp prod-exp associate-/r* cbrt-unprod unswap-sqr
2×pow1/3 distribute-neg-frac
1×distribute-lft-neg-out neg-mul-1 frac-2neg pow-prod-down clear-num *-commutative associate-/l*
Counts
4 → 143
Calls
4 calls:
4.0ms
(cbrt (- 1.0 z))
6.0ms
(cbrt (- 1.0 z))
121.0ms
(* (- (/ x (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))) (/ t (cbrt (- 1.0 z))))
10.0ms
(/ (* x y) z)

series292.0ms

Counts
4 → 12
Calls
4 calls:
125.0ms
(cbrt (- 1.0 z))
97.0ms
(cbrt (- 1.0 z))
47.0ms
(* (- (/ x (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z))))) (/ t (cbrt (- 1.0 z))))
22.0ms
(/ (* x y) z)

simplify1.6s

Counts
155 → 155
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02922638
18002496
227432338
done50012311

prune646.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

regimes289.0ms

Accuracy

47.1% (3.0b remaining)

Error of 3.1b against oracle of 0.0b and baseline of 5.8b

bsearch115.0ms

Steps
ItersRangePoint
10
1.9445726386587735e-67
6.838584265246837e-55
2.286764800019862e-57
6
-1.3825759133523888e+63
-1.1735561027771561e+62
-1.4294925364100886e+62

simplify17.0ms

Iterations

Useful iterations: 1 (6.0ms)

IterNodesCost
03151
14950
25750
36350
done6350

end0.0ms

sample805.0ms

Algorithm
intervals
Results
359.0ms10081×body80valid