Details

Time bar (total: 17.6s)

sample39.0ms

Algorithm
intervals
Results
21.0ms339×body80valid

simplify97.0ms

Counts
1 → 1
Iterations
IterNodes
done108
9108
8105
799
685
573
458
339
225
115
010

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 7.0b

localize15.0ms

Local error

Found 3 expressions with local error:

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

rewrite320.0ms

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-cbrt-cube add-exp-log
5×pow1 associate-/r* add-log-exp
3×sub-neg flip3-- associate-*l* associate-*r/ insert-posit16 flip-- associate-/l*
2×distribute-rgt-in distribute-lft-in associate-/r/ frac-sub
1×cbrt-undiv clear-num frac-2neg diff-log div-exp pow-prod-down prod-exp *-commutative cbrt-unprod div-inv unswap-sqr
Counts
3 → 92
Calls
3 calls:
72.0ms
(- (/ y z) (/ t (- 1.0 z)))
21.0ms
(/ t (- 1.0 z))
222.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series175.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(- (/ y z) (/ t (- 1.0 z)))
61.0ms
(/ t (- 1.0 z))
68.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify2.7s

Counts
101 → 101
Iterations
IterNodes
done5002
34842
21277
1412
0173

prune519.0ms

Pruning

12 alts after pruning (11 fresh and 1 done)

Merged error: 0.0b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.0b
(/ 1 (- 1.0 z))
0.1b
(* t (/ 1 (- 1.0 z)))
7.0b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite212.0ms

Algorithm
rewrite-expression-head
Rules
49×add-sqr-sqrt
41×*-un-lft-identity
32×times-frac
26×add-cube-cbrt
24×associate-*r*
19×add-exp-log
13×add-cbrt-cube
9×pow1
7×associate-*r/ distribute-lft-out-- difference-of-squares
6×associate-*l* add-log-exp
5×associate-/r* prod-exp
4×flip3-- div-exp associate-/r/ frac-sub insert-posit16 flip-- unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×distribute-rgt-in cbrt-undiv rec-exp distribute-lft-in 1-exp pow-prod-down *-commutative div-inv
1×clear-num frac-2neg diff-log pow-flip inv-pow
Counts
4 → 129
Calls
4 calls:
35.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
22.0ms
(/ 1 (- 1.0 z))
54.0ms
(* t (/ 1 (- 1.0 z)))
93.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series203.0ms

Counts
4 → 12
Calls
4 calls:
54.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
34.0ms
(/ 1 (- 1.0 z))
49.0ms
(* t (/ 1 (- 1.0 z)))
66.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify1.7s

Counts
141 → 141
Iterations
IterNodes
done5000
21561
1519
0212

prune631.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize46.0ms

Local error

Found 4 expressions with local error:

0.3b
(cbrt (- 1.0 z))
0.3b
(cbrt (- 1.0 z))
0.3b
(cbrt (- 1.0 z))
7.0b
(* x (- (/ y z) (* t (/ (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (cbrt (- 1.0 z))))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
15×cbrt-prod *-un-lft-identity
9×add-cube-cbrt
6×pow1 cbrt-div add-cbrt-cube add-exp-log
4×flip3-- associate-*r/ insert-posit16 flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l* distribute-lft-out-- difference-of-squares
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative frac-sub cbrt-unprod unswap-sqr
Counts
4 → 74
Calls
4 calls:
4.0ms
(cbrt (- 1.0 z))
4.0ms
(cbrt (- 1.0 z))
4.0ms
(cbrt (- 1.0 z))
64.0ms
(* x (- (/ y z) (* t (/ (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (cbrt (- 1.0 z))))))

series491.0ms

Counts
4 → 12
Calls
4 calls:
116.0ms
(cbrt (- 1.0 z))
150.0ms
(cbrt (- 1.0 z))
159.0ms
(cbrt (- 1.0 z))
65.0ms
(* x (- (/ y z) (* t (/ (/ 1 (* (cbrt (- 1.0 z)) (cbrt (- 1.0 z)))) (cbrt (- 1.0 z))))))

simplify2.9s

Counts
86 → 86
Iterations
IterNodes
done5000
34527
21039
1358
0146

prune616.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

7.0b
(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
8.5b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
8.5b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
8.5b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite1.5s

Algorithm
rewrite-expression-head
Rules
153×cbrt-div
81×frac-times
78×associate-*r/
51×flip3-- frac-sub flip--
44×add-sqr-sqrt
41×*-un-lft-identity
30×cbrt-prod
27×associate-*l/
24×times-frac
13×pow1 add-exp-log
12×distribute-lft-out-- difference-of-squares
9×add-cbrt-cube
8×add-cube-cbrt
6×pow-prod-down prod-exp cbrt-unprod
4×insert-posit16 add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 151
Calls
4 calls:
1.3s
(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
38.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
53.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
40.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series657.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
212.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
188.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
195.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify2.3s

Counts
163 → 163
Iterations
IterNodes
done5010
32923
21365
1648
0292

prune916.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

regimes553.0ms

Accuracy

91.3% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 4.5b

bsearch2.0ms

simplify8.0ms

Iterations
IterNodes
done53
153
040

end0.0ms

sample845.0ms

Algorithm
intervals
Results
587.0ms9979×body80valid