Details

Time bar (total: 15.2s)

sample54.0ms

Algorithm
intervals
Results
22.0ms322×body80valid

simplify161.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.4b

localize9.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ y z) (/ t (- 1.0 z)))
0.0b
(/ t (- 1.0 z))
4.2b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite276.0ms

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:
51.0ms
(- (/ y z) (/ t (- 1.0 z)))
21.0ms
(/ t (- 1.0 z))
200.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series186.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(- (/ y z) (/ t (- 1.0 z)))
46.0ms
(/ t (- 1.0 z))
79.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify929.0ms

Counts
98 → 98
Iterations

Useful iterations: done (923.0ms)

IterNodesCost
01701300
14201249
214091177
done50011169

prune331.0ms

Pruning

11 alts after pruning (11 fresh and 0 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 z) t)
0.0b
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
0.6b
(/ 1 (/ (- 1.0 z) t))
4.2b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite532.0ms

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:
16.0ms
(/ (- 1.0 z) t)
101.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
18.0ms
(/ 1 (/ (- 1.0 z) t))
376.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series204.0ms

Counts
4 → 12
Calls
4 calls:
53.0ms
(/ (- 1.0 z) t)
52.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
39.0ms
(/ 1 (/ (- 1.0 z) t))
60.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify1.8s

Counts
214 → 214
Iterations

Useful iterations: done (1.8s)

IterNodesCost
03083271
18592893
238192767
done50012763

prune576.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(/ 1 (/ (- 1.0 z) t))
2.1b
(* (cbrt x) (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
2.4b
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ 1 (/ (- 1.0 z) t)))))

rewrite700.0ms

Algorithm
rewrite-expression-head
Rules
136×times-frac
125×add-sqr-sqrt
99×*-un-lft-identity
64×add-cube-cbrt
29×add-exp-log
22×difference-of-squares
19×pow1 associate-/r*
17×associate-*r*
16×add-cbrt-cube
15×distribute-lft-out--
10×distribute-rgt-in distribute-lft-in
9×associate-*r/ pow-prod-down prod-exp cbrt-unprod
7×cbrt-prod div-exp associate-*l*
6×sub-neg div-inv
4×add-log-exp
3×cbrt-undiv associate-/l*
2×rec-exp flip3-- 1-exp *-commutative frac-sub flip-- unswap-sqr
1×pow-flip frac-2neg pow1/3 clear-num associate-/r/ inv-pow
Counts
4 → 186
Calls
4 calls:
1.0ms
(cbrt x)
22.0ms
(/ 1 (/ (- 1.0 z) t))
320.0ms
(* (cbrt x) (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
346.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ 1 (/ (- 1.0 z) t)))))

series673.0ms

Counts
4 → 12
Calls
4 calls:
304.0ms
(cbrt x)
30.0ms
(/ 1 (/ (- 1.0 z) t))
225.0ms
(* (cbrt x) (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
113.0ms
(* (* (cbrt x) (cbrt x)) (* (cbrt x) (- (/ y z) (/ 1 (/ (- 1.0 z) t)))))

simplify651.0ms

Counts
198 → 198
Iterations

Useful iterations: done (642.0ms)

IterNodesCost
03373434
19773061
done50012750

prune735.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

1.5b
(* x (* (cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t)))) (cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))))
7.2b
(cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
7.2b
(cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
7.2b
(cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite891.0ms

Algorithm
rewrite-expression-head
Rules
108×add-sqr-sqrt
57×times-frac
48×cbrt-prod
41×*-un-lft-identity
33×cbrt-div
30×difference-of-squares
18×associate-*r/
11×flip3-- frac-sub flip--
9×pow1 add-exp-log frac-times distribute-lft-out--
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 div-inv
1×associate-*r* *-commutative unswap-sqr
Counts
4 → 115
Calls
4 calls:
652.0ms
(* x (* (cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t)))) (cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))))
96.0ms
(cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
64.0ms
(cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
71.0ms
(cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series886.0ms

Counts
4 → 12
Calls
4 calls:
220.0ms
(* x (* (cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t)))) (cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))))
249.0ms
(cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
221.0ms
(cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))
195.0ms
(cbrt (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify2.8s

Counts
127 → 127
Iterations

Useful iterations: done (2.8s)

IterNodesCost
02223432
14763299
211383087
345412682
done50002668

prune738.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes566.0ms

Accuracy

94.7% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 4.9b

bsearch3.0ms

simplify11.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
042129
154129
done54129

end0.0ms

sample1.3s

Algorithm
intervals
Results
610.0ms10169×body80valid