Details

Time bar (total: 8.1s)

sample22.0ms

Algorithm
intervals
Results
10.0ms330×body80valid

simplify71.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01011
11511
22511
33811
45611
57211
68511
79911
810511
910711
done10711

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
6.3b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite127.0ms

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:
27.0ms
(- (/ y z) (/ t (- 1.0 z)))
5.0ms
(/ t (- 1.0 z))
92.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series115.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(- (/ y z) (/ t (- 1.0 z)))
38.0ms
(/ t (- 1.0 z))
45.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify1.1s

Counts
98 → 98
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01701300
13871249
29261175
324281153
done50011152

prune229.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize9.0ms

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)))
6.3b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite64.0ms

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×prod-exp associate-/r*
4×flip3-- div-exp associate-/r/ frac-sub flip-- unswap-sqr
3×sub-neg un-div-inv cbrt-unprod associate-/l*
2×cbrt-undiv distribute-rgt-in rec-exp distribute-lft-in 1-exp pow-prod-down *-commutative div-inv
1×pow-flip frac-2neg diff-log clear-num inv-pow
Counts
4 → 125
Calls
4 calls:
5.0ms
(/ 1 (- 1.0 z))
10.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
16.0ms
(* t (/ 1 (- 1.0 z)))
28.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series142.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ 1 (- 1.0 z))
33.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
33.0ms
(* t (/ 1 (- 1.0 z)))
50.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify1.4s

Counts
137 → 137
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02081748
14951430
211691300
333121278
done50001277

prune266.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

6.3b
(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
8.1b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
8.1b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
8.1b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite723.0ms

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×add-log-exp
3×pow1/3 associate-*l*
1×associate-*r* *-commutative
Counts
4 → 147
Calls
4 calls:
645.0ms
(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
21.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
22.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
25.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series451.0ms

Counts
4 → 12
Calls
4 calls:
46.0ms
(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
137.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
131.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
136.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify1.0s

Counts
159 → 159
Iterations

Useful iterations: 3 (473.0ms)

IterNodesCost
02905190
16095108
212714425
329714280
done50004280

prune532.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 3 expressions with local error:

0.7b
(- (* y (- 1.0 z)) (* z t))
4.1b
(* x (- (* y (- 1.0 z)) (* z t)))
20.9b
(/ (* x (- (* y (- 1.0 z)) (* z t))) (* z (- 1.0 z)))

rewrite49.0ms

Algorithm
rewrite-expression-head
Rules
17×add-exp-log add-cbrt-cube
12×distribute-rgt-in distribute-lft-in associate--l+
9×sub-neg
7×add-sqr-sqrt
6×associate-*r/
5×pow1 add-cube-cbrt *-un-lft-identity prod-exp cbrt-unprod add-log-exp
4×cbrt-undiv flip3-- div-exp flip--
3×associate-*r* associate-*l*
2×associate-/r/ associate-/l/
1×frac-2neg times-frac diff-log pow-prod-down clear-num associate-/r* *-commutative div-inv associate-/l* unswap-sqr
Counts
3 → 73
Calls
3 calls:
6.0ms
(- (* y (- 1.0 z)) (* z t))
24.0ms
(* x (- (* y (- 1.0 z)) (* z t)))
17.0ms
(/ (* x (- (* y (- 1.0 z)) (* z t))) (* z (- 1.0 z)))

series183.0ms

Counts
3 → 9
Calls
3 calls:
38.0ms
(- (* y (- 1.0 z)) (* z t))
45.0ms
(* x (- (* y (- 1.0 z)) (* z t)))
99.0ms
(/ (* x (- (* y (- 1.0 z)) (* z t))) (* z (- 1.0 z)))

simplify533.0ms

Counts
82 → 82
Iterations

Useful iterations: 2 (142.0ms)

IterNodesCost
01441478
14111454
217281188
done50011188

prune152.0ms

Pruning

12 alts after pruning (10 fresh and 2 done)

Merged error: 0.0b

regimes382.0ms

Accuracy

93.2% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 4.8b

bsearch2.0ms

simplify3.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
035125
143125
done43125

end0.0ms

sample571.0ms

Algorithm
intervals
Results
308.0ms10181×body80valid