Details

Time bar (total: 9.5s)

sample20.0ms

Algorithm
intervals
Results
9.0ms305×body80valid

simplify76.0ms

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: 5.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
5.4b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite302.0ms

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:
42.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
154.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series123.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(- (/ y z) (/ t (- 1.0 z)))
33.0ms
(/ t (- 1.0 z))
53.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify2.2s

Counts
936 → 936
Iterations

Useful iterations: done (2.1s)

IterNodesCost
0100949986
1161744871
2373733786
done500133543

prune1.2s

Pruning

7 alts after pruning (7 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
(+ (* y (/ x z)) (* (- (/ t (- 1.0 z))) x))
3.1b
(* (- (/ t (- 1.0 z))) x)
4.6b
(* y (/ x z))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
69×add-sqr-sqrt
62×*-un-lft-identity
55×times-frac
49×associate-*l*
42×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
16×associate-*r*
13×add-exp-log add-cbrt-cube
10×distribute-lft-out-- difference-of-squares
8×pow1
6×associate-/r/ add-log-exp
5×associate-/r*
4×expm1-log1p-u log1p-expm1-u div-inv
3×distribute-lft-neg-out flip3-- prod-exp flip-- cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv associate-*r/ div-exp pow-prod-down associate-*l/ *-commutative distribute-neg-frac
1×+-commutative neg-mul-1 fma-def frac-2neg flip3-+ unsub-neg frac-add clear-num sum-log flip-+
Counts
4 → 155
Calls
4 calls:
5.0ms
(/ t (- 1.0 z))
5.0ms
(+ (* y (/ x z)) (* (- (/ t (- 1.0 z))) x))
38.0ms
(* (- (/ t (- 1.0 z))) x)
8.0ms
(* y (/ x z))

series153.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ t (- 1.0 z))
54.0ms
(+ (* y (/ x z)) (* (- (/ t (- 1.0 z))) x))
46.0ms
(* (- (/ t (- 1.0 z))) x)
18.0ms
(* y (/ x z))

simplify796.0ms

Counts
167 → 167
Iterations

Useful iterations: done (792.0ms)

IterNodesCost
02781798
17031683
221101591
done50011590

prune436.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (/ (* x y) z) (* (- (/ t (- 1.0 z))) x))
3.1b
(* (- (/ t (- 1.0 z))) x)
5.9b
(/ (* x y) z)

rewrite62.0ms

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:
6.0ms
(/ t (- 1.0 z))
10.0ms
(+ (/ (* x y) z) (* (- (/ t (- 1.0 z))) x))
37.0ms
(* (- (/ t (- 1.0 z))) x)
3.0ms
(/ (* x y) z)

series163.0ms

Counts
4 → 12
Calls
4 calls:
36.0ms
(/ t (- 1.0 z))
65.0ms
(+ (/ (* x y) z) (* (- (/ t (- 1.0 z))) x))
43.0ms
(* (- (/ t (- 1.0 z))) x)
19.0ms
(/ (* x y) z)

simplify813.0ms

Counts
162 → 162
Iterations

Useful iterations: done (809.0ms)

IterNodesCost
02601707
16471613
220501514
done50001513

prune412.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(+ (/ x (/ z y)) (* (- (/ t (- 1.0 z))) x))
3.1b
(* (- (/ t (- 1.0 z))) x)
6.7b
(/ x (/ z y))

rewrite93.0ms

Algorithm
rewrite-expression-head
Rules
186×times-frac
133×add-sqr-sqrt
131×*-un-lft-identity
111×add-cube-cbrt
46×associate-*l*
44×fma-def
21×distribute-lft-neg-in distribute-rgt-neg-in
18×associate-/r*
13×add-exp-log add-cbrt-cube
12×div-inv
10×distribute-lft-out-- difference-of-squares
8×associate-/r/
6×pow1 associate-/l* add-log-exp
4×cbrt-undiv expm1-log1p-u div-exp log1p-expm1-u
3×distribute-lft-neg-out flip3-- associate-*r* flip--
2×frac-2neg associate-*l/ clear-num distribute-neg-frac
1×+-commutative neg-mul-1 flip3-+ unsub-neg pow-prod-down frac-add prod-exp sum-log *-commutative cbrt-unprod flip-+ unswap-sqr
Counts
4 → 236
Calls
4 calls:
6.0ms
(/ t (- 1.0 z))
34.0ms
(+ (/ x (/ z y)) (* (- (/ t (- 1.0 z))) x))
36.0ms
(* (- (/ t (- 1.0 z))) x)
5.0ms
(/ x (/ z y))

series163.0ms

Counts
4 → 12
Calls
4 calls:
33.0ms
(/ t (- 1.0 z))
62.0ms
(+ (/ x (/ z y)) (* (- (/ t (- 1.0 z))) x))
47.0ms
(* (- (/ t (- 1.0 z))) x)
21.0ms
(/ x (/ z y))

simplify1.0s

Counts
248 → 248
Iterations

Useful iterations: done (1.0s)

IterNodesCost
03582403
18592251
226022135
done50002133

prune689.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes155.0ms

Accuracy

54.1% (2.4b remaining)

Error of 2.4b against oracle of 0.0b and baseline of 5.3b

bsearch2.0ms

simplify8.0ms

Iterations

Useful iterations: 2 (4.0ms)

IterNodesCost
03196
14683
25668
36168
done6168

end0.0ms

sample542.0ms

Algorithm
intervals
Results
302.0ms10083×body80valid