Details

Time bar (total: 17.0s)

sample54.0ms

Algorithm
intervals
Results
20.0ms297×body80valid

simplify158.0ms

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: 5.2b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
4.9b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite369.0ms

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:
75.0ms
(- (/ y z) (/ t (- 1.0 z)))
24.0ms
(/ t (- 1.0 z))
267.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series198.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(- (/ y z) (/ t (- 1.0 z)))
67.0ms
(/ t (- 1.0 z))
66.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify1.8s

Counts
98 → 98
Iterations

Useful iterations: 3 (752.0ms)

IterNodesCost
01701300
13871249
29201175
323441153
done50021153

prune483.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 z) t)
0.0b
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
0.7b
(/ 1 (/ (- 1.0 z) t))
4.9b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite607.0ms

Algorithm
rewrite-expression-head
Rules
172×add-sqr-sqrt
170×times-frac
126×*-un-lft-identity
72×add-cube-cbrt
36×difference-of-squares
22×associate-/r* distribute-lft-out--
19×add-exp-log
16×associate-*r*
13×add-cbrt-cube
8×div-exp div-inv associate-/l*
7×pow1
6×add-log-exp
4×cbrt-undiv
3×sub-neg flip3-- associate-*r/ associate-*l* flip--
2×distribute-rgt-in rec-exp frac-2neg distribute-lft-in 1-exp clear-num frac-sub associate-/l/
1×pow-flip diff-log div-sub pow-prod-down prod-exp associate-/r/ *-commutative cbrt-unprod inv-pow unswap-sqr
Counts
4 → 202
Calls
4 calls:
22.0ms
(/ (- 1.0 z) t)
96.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
37.0ms
(/ 1 (/ (- 1.0 z) t))
438.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series227.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ (- 1.0 z) t)
70.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
33.0ms
(/ 1 (/ (- 1.0 z) t))
81.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify2.9s

Counts
214 → 214
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
03083271
17352893
215132502
338352450
done50002450

prune616.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0.0b

localize35.0ms

Local error

Found 4 expressions with local error:

4.9b
(* x (- (/ y z) (* (* (cbrt (/ t (- 1.0 z))) (cbrt (/ t (- 1.0 z)))) (cbrt (/ t (- 1.0 z))))))
8.5b
(cbrt (/ t (- 1.0 z)))
8.5b
(cbrt (/ t (- 1.0 z)))
8.5b
(cbrt (/ t (- 1.0 z)))

rewrite264.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
53×add-sqr-sqrt
51×*-un-lft-identity
45×times-frac
33×add-cube-cbrt
15×cbrt-div
12×associate-*r/
9×distribute-lft-out-- difference-of-squares
7×frac-sub
6×pow1 add-exp-log associate-/r/ add-cbrt-cube
5×frac-times associate-*l/
4×flip3-- flip-- add-log-exp
3×pow1/3 associate-*r* associate-*l* div-inv
2×distribute-rgt-in sub-neg distribute-lft-in
1×pow-prod-down prod-exp *-commutative cbrt-unprod unswap-sqr
Counts
4 → 121
Calls
4 calls:
157.0ms
(* x (- (/ y z) (* (* (cbrt (/ t (- 1.0 z))) (cbrt (/ t (- 1.0 z)))) (cbrt (/ t (- 1.0 z))))))
12.0ms
(cbrt (/ t (- 1.0 z)))
12.0ms
(cbrt (/ t (- 1.0 z)))
12.0ms
(cbrt (/ t (- 1.0 z)))

series721.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(* x (- (/ y z) (* (* (cbrt (/ t (- 1.0 z))) (cbrt (/ t (- 1.0 z)))) (cbrt (/ t (- 1.0 z))))))
237.0ms
(cbrt (/ t (- 1.0 z)))
178.0ms
(cbrt (/ t (- 1.0 z)))
180.0ms
(cbrt (/ t (- 1.0 z)))

simplify2.1s

Counts
133 → 133
Iterations

Useful iterations: done (2.1s)

IterNodesCost
02242722
14642650
210692045
330421899
done50001842

prune766.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize36.0ms

Local error

Found 4 expressions with local error:

4.9b
(* x (- (/ y z) (/ t (- 1.0 z))))
5.6b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
5.6b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
5.6b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite398.0ms

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:
212.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
59.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
60.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
66.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series1.1s

Counts
4 → 12
Calls
4 calls:
89.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
359.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
352.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
323.0ms
(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

prune395.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

regimes812.0ms

Accuracy

63.7% (1.8b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 5.1b

bsearch2.0ms

simplify8.0ms

Iterations

Useful iterations: 1 (5.0ms)

IterNodesCost
02684
13568
done3568

end0.0ms

sample1.5s

Algorithm
intervals
Results
626.0ms10008×body80valid