Details

Time bar (total: 13.2s)

sample52.0ms

Algorithm
intervals
Results
23.0ms317×body80valid

simplify175.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11511
22511
33911
45811
57311
68711
710211
810711
910911
done10911

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.9b

localize9.0ms

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))))

rewrite272.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
45×*-un-lft-identity
31×times-frac
15×add-cube-cbrt
12×distribute-lft-out-- difference-of-squares
10×associate-*r*
7×add-exp-log add-cbrt-cube
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*r/ associate-*l* flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv frac-2neg diff-log div-exp pow-prod-down prod-exp clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 89
Calls
3 calls:
53.0ms
(- (/ y z) (/ t (- 1.0 z)))
23.0ms
(/ t (- 1.0 z))
189.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series150.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- (/ y z) (/ t (- 1.0 z)))
43.0ms
(/ t (- 1.0 z))
62.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify1.6s

Counts
98 → 98
Iterations

Useful iterations: 3 (621.0ms)

IterNodesCost
01701300
13871249
29201175
323441153
done50021153

prune338.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite139.0ms

Algorithm
rewrite-expression-head
Rules
58×add-sqr-sqrt
56×*-un-lft-identity
48×times-frac
46×associate-*l*
36×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*
6×pow1 associate-/r/ add-log-exp
4×div-inv 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 → 135
Calls
4 calls:
11.0ms
(/ t (- 1.0 z))
15.0ms
(+ (/ (* x y) z) (* (- (/ t (- 1.0 z))) x))
91.0ms
(* (- (/ t (- 1.0 z))) x)
10.0ms
(/ (* x y) z)

series249.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(/ t (- 1.0 z))
111.0ms
(+ (/ (* x y) z) (* (- (/ t (- 1.0 z))) x))
64.0ms
(* (- (/ t (- 1.0 z))) x)
27.0ms
(/ (* x y) z)

simplify1.6s

Counts
147 → 147
Iterations

Useful iterations: done (1.6s)

IterNodesCost
02521635
16231555
219131454
done50001420

prune540.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 4 expressions with local error:

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

rewrite166.0ms

Algorithm
rewrite-expression-head
Rules
66×times-frac
56×add-sqr-sqrt
54×*-un-lft-identity
46×associate-*l*
42×add-cube-cbrt
32×add-exp-log
21×distribute-lft-neg-in distribute-rgt-neg-in
20×add-cbrt-cube
14×div-exp
8×associate-/r* div-inv
7×pow1 cbrt-undiv
6×associate-/l* distribute-lft-out-- add-log-exp difference-of-squares
5×prod-exp associate-/r/
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 → 154
Calls
4 calls:
56.0ms
(+ (/ 1 (/ z (* x y))) (* (- (/ t (- 1.0 z))) x))
25.0ms
(/ 1 (/ z (* x y)))
70.0ms
(* (- (/ t (- 1.0 z))) x)
8.0ms
(/ z (* x y))

series231.0ms

Counts
4 → 12
Calls
4 calls:
92.0ms
(+ (/ 1 (/ z (* x y))) (* (- (/ t (- 1.0 z))) x))
40.0ms
(/ 1 (/ z (* x y)))
61.0ms
(* (- (/ t (- 1.0 z))) x)
38.0ms
(/ z (* x y))

simplify2.3s

Counts
166 → 166
Iterations

Useful iterations: done (2.3s)

IterNodesCost
02671917
16411719
219551517
done50001451

prune501.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.6b
(* (- (/ t (- 1.0 z))) (* (cbrt x) (cbrt x)))
4.4b
(/ (* x y) z)

rewrite168.0ms

Algorithm
rewrite-expression-head
Rules
46×associate-*l*
40×add-sqr-sqrt
39×*-un-lft-identity
33×times-frac
27×add-cube-cbrt
21×distribute-lft-neg-in distribute-rgt-neg-in
14×add-exp-log
12×add-cbrt-cube
9×pow1
6×cbrt-prod distribute-lft-out-- difference-of-squares
4×prod-exp associate-/r/ cbrt-unprod add-log-exp
3×pow-prod-down associate-/r* div-inv
2×cbrt-undiv flip3-- pow1/3 div-exp flip--
1×distribute-lft-neg-out neg-mul-1 frac-2neg associate-*r* associate-*l/ clear-num *-commutative distribute-neg-frac associate-/l* unswap-sqr
Counts
4 → 107
Calls
4 calls:
2.0ms
(cbrt x)
2.0ms
(cbrt x)
146.0ms
(* (- (/ t (- 1.0 z))) (* (cbrt x) (cbrt x)))
10.0ms
(/ (* x y) z)

series890.0ms

Counts
4 → 12
Calls
4 calls:
330.0ms
(cbrt x)
284.0ms
(cbrt x)
234.0ms
(* (- (/ t (- 1.0 z))) (* (cbrt x) (cbrt x)))
41.0ms
(/ (* x y) z)

simplify1.4s

Counts
119 → 119
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02151322
15891278
220031044
done50001019

prune503.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes233.0ms

Accuracy

16.2% (4.7b remaining)

Error of 4.8b against oracle of 0.0b and baseline of 5.7b

bsearch153.0ms

Steps
ItersRangePoint
8
1.539737493817516e+250
1.1392752461827851e+254
1.7641534698072868e+253
9
-1.1358173770361812e-116
-9.701753791179876e-126
-2.2498808884886877e-122

simplify9.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02354
13639
24039
34139
done4139

end0.0ms

sample1.4s

Algorithm
intervals
Results
690.0ms10056×body80valid