Details

Time bar (total: 40.1s)

sample81.0ms

Algorithm
intervals
Results
31.0ms320×body80valid

simplify482.0ms

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

prune24.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.3b

localize88.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
5.1b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite496.0ms

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:
25.0ms
(/ t (- 1.0 z))
120.0ms
(- (/ y z) (/ t (- 1.0 z)))
338.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series279.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ t (- 1.0 z))
95.0ms
(- (/ y z) (/ t (- 1.0 z)))
122.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify7.7s

Counts
101 → 101
Iterations
IterNodes
done5002
34919
21283
1413
0173

prune1.5s

Pruning

13 alts after pruning (13 fresh and 0 done)

Merged error: 0.3b

localize76.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (- 1.0 z))
0.0b
(- (/ y z) (* t (/ 1 (- 1.0 z))))
0.1b
(* t (/ 1 (- 1.0 z)))
5.1b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite295.0ms

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:
32.0ms
(/ 1 (- 1.0 z))
59.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
66.0ms
(* t (/ 1 (- 1.0 z)))
119.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series300.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(/ 1 (- 1.0 z))
72.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
65.0ms
(* t (/ 1 (- 1.0 z)))
123.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify3.4s

Counts
141 → 141
Iterations
IterNodes
done5001
21589
1522
0212

prune1.9s

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 0.3b

localize190.0ms

Local error

Found 4 expressions with local error:

1.0b
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
6.1b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.1b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.1b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite814.0ms

Algorithm
rewrite-expression-head
Rules
45×add-sqr-sqrt
41×*-un-lft-identity
33×cbrt-div
30×cbrt-prod
24×times-frac
18×associate-*r/
12×distribute-lft-out-- difference-of-squares
11×flip3-- frac-sub flip--
9×frac-times pow1 add-exp-log
8×add-cube-cbrt
7×add-cbrt-cube
4×insert-posit16 add-log-exp
3×pow1/3 associate-*l* pow-prod-down associate-*l/ prod-exp cbrt-unprod
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 101
Calls
4 calls:
534.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
94.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
64.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
105.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series1.5s

Counts
4 → 12
Calls
4 calls:
421.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
352.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
327.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
376.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify4.9s

Counts
113 → 113
Iterations
IterNodes
done5000
32024
2900
1418
0193

prune1.9s

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 0.3b

localize251.0ms

Local error

Found 4 expressions with local error:

5.1b
(* x (- (/ y z) (/ t (- 1.0 z))))
6.1b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.1b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.1b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite653.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
17×*-un-lft-identity
12×associate-*r/
10×associate-*r*
9×cbrt-div
8×times-frac
6×pow1 add-cbrt-cube add-exp-log add-cube-cbrt
4×flip3-- frac-sub insert-posit16 flip-- distribute-lft-out-- add-log-exp difference-of-squares
3×cbrt-prod pow1/3 associate-*l*
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 72
Calls
4 calls:
407.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
80.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
102.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
59.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series2.0s

Counts
4 → 12
Calls
4 calls:
125.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
638.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
569.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
646.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify5.7s

Counts
84 → 84
Iterations
IterNodes
done5001
33359
2903
1338
0141

prune1.3s

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 0.3b

regimes2.6s

Accuracy

55.4% (2.3b remaining)

Error of 2.9b against oracle of 0.6b and baseline of 5.8b

bsearch6.0ms

simplify22.0ms

Iterations
IterNodes
done27
127
021

end0.0ms

sample1.9s

Algorithm
intervals
Results
1.2s10103×body80valid