Details

Time bar (total: 14.9s)

sample46.0ms

Algorithm
intervals
Results
19.0ms312×body80valid

simplify173.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11511
22511
33911
45811
57311
68711
710211
810811
911011
done11011

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.9b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
2.7b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite296.0ms

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:
25.0ms
(/ t (- 1.0 z))
67.0ms
(- (/ y z) (/ t (- 1.0 z)))
196.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series161.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ t (- 1.0 z))
53.0ms
(- (/ y z) (/ t (- 1.0 z)))
72.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify804.0ms

Counts
98 → 98
Iterations

Useful iterations: done (801.0ms)

IterNodesCost
01701300
14201249
214121177
done50011169

prune524.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize18.0ms

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)))
2.7b
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

rewrite150.0ms

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:
20.0ms
(/ 1 (- 1.0 z))
24.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
40.0ms
(* t (/ 1 (- 1.0 z)))
60.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

series219.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ 1 (- 1.0 z))
45.0ms
(- (/ y z) (* t (/ 1 (- 1.0 z))))
55.0ms
(* t (/ 1 (- 1.0 z)))
76.0ms
(* x (- (/ y z) (* t (/ 1 (- 1.0 z)))))

simplify1.4s

Counts
137 → 137
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02081748
15321567
221861308
done50021300

prune534.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.4b
(cbrt (/ 1 (- 1.0 z)))
0.4b
(cbrt (/ 1 (- 1.0 z)))
0.4b
(cbrt (/ 1 (- 1.0 z)))
2.7b
(* x (- (/ y z) (* t (* (* (cbrt (/ 1 (- 1.0 z))) (cbrt (/ 1 (- 1.0 z)))) (cbrt (/ 1 (- 1.0 z)))))))

rewrite192.0ms

Algorithm
rewrite-expression-head
Rules
63×cbrt-prod
53×add-sqr-sqrt
51×*-un-lft-identity
45×times-frac
33×add-cube-cbrt
19×associate-*r/
15×cbrt-div
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:
6.0ms
(cbrt (/ 1 (- 1.0 z)))
7.0ms
(cbrt (/ 1 (- 1.0 z)))
6.0ms
(cbrt (/ 1 (- 1.0 z)))
163.0ms
(* x (- (/ y z) (* t (* (* (cbrt (/ 1 (- 1.0 z))) (cbrt (/ 1 (- 1.0 z)))) (cbrt (/ 1 (- 1.0 z)))))))

series564.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(cbrt (/ 1 (- 1.0 z)))
177.0ms
(cbrt (/ 1 (- 1.0 z)))
156.0ms
(cbrt (/ 1 (- 1.0 z)))
98.0ms
(* x (- (/ y z) (* t (* (* (cbrt (/ 1 (- 1.0 z))) (cbrt (/ 1 (- 1.0 z)))) (cbrt (/ 1 (- 1.0 z)))))))

simplify1.2s

Counts
133 → 133
Iterations

Useful iterations: done (1.2s)

IterNodesCost
02192610
14952384
217391884
done50001784

prune708.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

2.7b
(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
5.4b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.4b
(cbrt (- (/ y z) (/ t (- 1.0 z))))
5.4b
(cbrt (- (/ y z) (/ t (- 1.0 z))))

rewrite1.5s

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:
1.3s
(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
40.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
43.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
48.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

series765.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(* x (* (* (cbrt (- (/ y z) (/ t (- 1.0 z)))) (cbrt (- (/ y z) (/ t (- 1.0 z))))) (cbrt (- (/ y z) (/ t (- 1.0 z))))))
215.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
232.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))
213.0ms
(cbrt (- (/ y z) (/ t (- 1.0 z))))

simplify2.5s

Counts
159 → 159
Iterations

Useful iterations: done (2.5s)

IterNodesCost
02905190
16895108
215174425
348034288
done50004276

prune1.3s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

regimes551.0ms

Accuracy

53.7% (2.2b remaining)

Error of 2.3b against oracle of 0.1b and baseline of 4.8b

bsearch2.0ms

simplify17.0ms

Iterations

Useful iterations: 4 (12.0ms)

IterNodesCost
03590
15088
25488
36188
46487
done6487

end0.0ms

sample1.2s

Algorithm
intervals
Results
578.0ms10066×body80valid