Details

Time bar (total: 16.8s)

sample34.0ms

Algorithm
intervals
Results
15.0ms317×body80valid

simplify135.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.1b

localize23.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
3.9b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite323.0ms

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:
12.0ms
(/ t (- 1.0 z))
78.0ms
(- (/ y z) (/ t (- 1.0 z)))
229.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series222.0ms

Counts
3 → 9
Calls
3 calls:
62.0ms
(/ t (- 1.0 z))
70.0ms
(- (/ y z) (/ t (- 1.0 z)))
90.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify1.9s

Counts
98 → 98
Iterations

Useful iterations: 3 (669.0ms)

IterNodesCost
01701300
13871249
29181175
323491153
done50011153

prune380.0ms

Pruning

11 alts after pruning (10 fresh and 1 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

3.9b
(* x (- (/ y z) (/ t (- 1.0 z))))
7.2b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.2b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.2b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite335.0ms

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:
152.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
68.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
69.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
44.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
82.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
379.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
355.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
286.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify1.4s

Counts
80 → 80
Iterations

Useful iterations: done (1.4s)

IterNodesCost
01351405
13131365
27521213
321501181
done50001151

prune373.0ms

Pruning

11 alts after pruning (9 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

7.2b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.2b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.2b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.2b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite176.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-div associate-*r/
4×pow1 add-exp-log cbrt-prod add-sqr-sqrt add-cube-cbrt flip3-- *-un-lft-identity pow1/3 frac-sub add-cbrt-cube flip-- add-log-exp
Counts
4 → 48
Calls
4 calls:
47.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
39.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
45.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
44.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series1.4s

Counts
4 → 12
Calls
4 calls:
365.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
349.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
402.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
313.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify2.7s

Counts
60 → 60
Iterations

Useful iterations: done (2.7s)

IterNodesCost
0811216
11841180
24671036
313411004
44132964
done5001956

prune394.0ms

Pruning

11 alts after pruning (8 fresh and 3 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.7b
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
6.0b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.0b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
6.0b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite508.0ms

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×pow1 add-exp-log frac-times
8×add-cube-cbrt
7×add-cbrt-cube
4×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 → 97
Calls
4 calls:
324.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
43.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
63.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
72.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series855.0ms

Counts
4 → 12
Calls
4 calls:
244.0ms
(* x (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
225.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
211.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
175.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify1.9s

Counts
109 → 109
Iterations

Useful iterations: done (1.9s)

IterNodesCost
01912498
14132417
29272255
322232166
done50012126

prune533.0ms

Pruning

12 alts after pruning (8 fresh and 4 done)

Merged error: 0.0b

regimes624.0ms

Accuracy

74% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 4.8b

bsearch2.0ms

simplify6.0ms

Iterations

Useful iterations: 1 (3.0ms)

IterNodesCost
02269
13053
done3053

end0.0ms

sample1.4s

Algorithm
intervals
Results
667.0ms10058×body80valid