Details

Time bar (total: 10.7s)

sample23.0ms

Algorithm
intervals
Results
9.0ms331×body80valid

simplify101.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 5.7b

localize8.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
5.5b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite184.0ms

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:
38.0ms
(- (/ y z) (/ t (- 1.0 z)))
11.0ms
(/ t (- 1.0 z))
131.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series124.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- (/ y z) (/ t (- 1.0 z)))
37.0ms
(/ t (- 1.0 z))
51.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify1.1s

Counts
98 → 98
Iterations

Useful iterations: 3 (472.0ms)

IterNodesCost
01701300
13871249
29201175
323441153
done50021153

prune212.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 4 expressions with local error:

5.5b
(* x (- (/ y z) (/ t (- 1.0 z))))
6.0b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.0b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.0b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite232.0ms

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-exp-log add-cube-cbrt add-cbrt-cube
4×flip3-- frac-sub 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 → 68
Calls
4 calls:
127.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
34.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
32.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
35.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series781.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
249.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
239.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
243.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify948.0ms

Counts
80 → 80
Iterations

Useful iterations: done (945.0ms)

IterNodesCost
01351405
13131365
27521213
321501181
done50001151

prune255.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

5.5b
(* x (- (/ y z) (/ t (- 1.0 z))))
6.0b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.0b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
8.0b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite231.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
29×*-un-lft-identity
16×times-frac
12×cbrt-prod
10×associate-*r*
9×cbrt-div associate-*r/
8×distribute-lft-out-- difference-of-squares
7×add-cube-cbrt
6×pow1 add-exp-log add-cbrt-cube
4×flip3-- frac-sub flip-- add-log-exp
3×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 → 77
Calls
4 calls:
127.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
34.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
33.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
33.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series701.0ms

Counts
4 → 12
Calls
4 calls:
51.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
250.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
250.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
150.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify1.1s

Counts
89 → 89
Iterations

Useful iterations: done (1.1s)

IterNodesCost
01821574
13971527
29151390
324921350
done50001320

prune379.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

6.0b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.0b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
6.0b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
8.0b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite133.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
16×*-un-lft-identity
13×cbrt-prod
12×cbrt-div
9×associate-*r/
8×times-frac
5×add-cube-cbrt
4×pow1 add-exp-log flip3-- pow1/3 frac-sub add-cbrt-cube flip-- distribute-lft-out-- add-log-exp difference-of-squares
Counts
4 → 57
Calls
4 calls:
34.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
33.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
34.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
30.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series913.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
271.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
248.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
150.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify2.0s

Counts
69 → 69
Iterations

Useful iterations: 4 (1.1s)

IterNodesCost
01441385
12871342
26461213
317011173
449271133
done50001133

prune305.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0.0b

regimes296.0ms

Accuracy

77.9% (1.2b remaining)

Error of 1.2b against oracle of 0.1b and baseline of 5.4b

bsearch1.0ms

simplify12.0ms

Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
046177
166177
270177
371177
done71177

end0.0ms

sample607.0ms

Algorithm
intervals
Results
275.0ms10049×body80valid