Details

Time bar (total: 15.6s)

sample50.0ms

Algorithm
intervals
Results
22.0ms311×body80valid

simplify153.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

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

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 4.5b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ t (- 1.0 z))
0.0b
(- (/ y z) (/ t (- 1.0 z)))
4.3b
(* x (- (/ y z) (/ t (- 1.0 z))))

rewrite286.0ms

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:
15.0ms
(/ t (- 1.0 z))
59.0ms
(- (/ y z) (/ t (- 1.0 z)))
204.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

series207.0ms

Counts
3 → 9
Calls
3 calls:
60.0ms
(/ t (- 1.0 z))
48.0ms
(- (/ y z) (/ t (- 1.0 z)))
99.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))

simplify1.6s

Counts
98 → 98
Iterations

Useful iterations: 3 (735.0ms)

IterNodesCost
01701300
13871249
29181175
323491153
done50011153

prune315.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (- 1.0 z) t)
0.0b
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
0.8b
(/ 1 (/ (- 1.0 z) t))
4.3b
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

rewrite510.0ms

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:
32.0ms
(/ (- 1.0 z) t)
97.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
18.0ms
(/ 1 (/ (- 1.0 z) t))
346.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

series232.0ms

Counts
4 → 12
Calls
4 calls:
43.0ms
(/ (- 1.0 z) t)
63.0ms
(- (/ y z) (/ 1 (/ (- 1.0 z) t)))
48.0ms
(/ 1 (/ (- 1.0 z) t))
77.0ms
(* x (- (/ y z) (/ 1 (/ (- 1.0 z) t))))

simplify2.6s

Counts
214 → 214
Iterations

Useful iterations: 3 (1.5s)

IterNodesCost
03083271
17352893
215132502
338352450
done50002450

prune592.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize25.0ms

Local error

Found 4 expressions with local error:

4.3b
(* x (- (/ y z) (/ t (- 1.0 z))))
7.6b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.6b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
7.6b
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

rewrite357.0ms

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:
218.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
57.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
37.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
42.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

series1.2s

Counts
4 → 12
Calls
4 calls:
98.0ms
(* x (- (/ y z) (/ t (- 1.0 z))))
378.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
371.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))
400.0ms
(cbrt (* x (- (/ y z) (/ t (- 1.0 z)))))

simplify1.7s

Counts
80 → 80
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01351405
13131365
27521213
321501181
done50001151

prune467.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0.0b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y z) (* (/ t (- (* 1.0 1.0) (* z z))) (+ 1.0 z)))
4.3b
(* x (- (/ y z) (* (/ t (- (* 1.0 1.0) (* z z))) (+ 1.0 z))))
5.5b
(/ t (- (* 1.0 1.0) (* z z)))
10.2b
(* (/ t (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

rewrite206.0ms

Algorithm
rewrite-expression-head
Rules
31×add-sqr-sqrt
26×*-un-lft-identity
25×times-frac
24×add-cube-cbrt
21×associate-*l*
13×add-exp-log associate-*r/ add-cbrt-cube
10×frac-sub
8×pow1
7×associate-*r* difference-of-squares
6×frac-times flip3-+ flip-+ add-log-exp
4×distribute-rgt-in flip3-- distribute-lft-in associate-/r* associate-/r/ flip--
3×sub-neg associate-*l/ prod-exp cbrt-unprod associate-/l* unswap-sqr
2×cbrt-undiv div-exp pow-prod-down *-commutative div-inv associate--r+
1×frac-2neg diff-log clear-num distribute-lft-out
Counts
4 → 125
Calls
4 calls:
22.0ms
(- (/ y z) (* (/ t (- (* 1.0 1.0) (* z z))) (+ 1.0 z)))
79.0ms
(* x (- (/ y z) (* (/ t (- (* 1.0 1.0) (* z z))) (+ 1.0 z))))
14.0ms
(/ t (- (* 1.0 1.0) (* z z)))
82.0ms
(* (/ t (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

series599.0ms

Counts
4 → 12
Calls
4 calls:
152.0ms
(- (/ y z) (* (/ t (- (* 1.0 1.0) (* z z))) (+ 1.0 z)))
245.0ms
(* x (- (/ y z) (* (/ t (- (* 1.0 1.0) (* z z))) (+ 1.0 z))))
97.0ms
(/ t (- (* 1.0 1.0) (* z z)))
104.0ms
(* (/ t (- (* 1.0 1.0) (* z z))) (+ 1.0 z))

simplify1.9s

Counts
137 → 137
Iterations

Useful iterations: done (1.9s)

IterNodesCost
02422781
17382689
225232479
done50011949

prune544.0ms

Pruning

10 alts after pruning (7 fresh and 3 done)

Merged error: 0.0b

regimes388.0ms

Accuracy

83.3% (0.8b remaining)

Error of 0.9b against oracle of 0.0b and baseline of 5.0b

bsearch3.0ms

simplify7.0ms

Iterations

Useful iterations: 0 (2.0ms)

IterNodesCost
040125
152125
done52125

end0.0ms

sample1.3s

Algorithm
intervals
Results
594.0ms10101×body80valid