Details

Time bar (total: 14.2s)

sample29.0ms

Algorithm
intervals
Results
12.0ms270×body80valid

simplify2.6s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
12513
25813
310513
425513
590813
6397713
done500013

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize18.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
0.0b
(/ (+ (- t z) 1.0) a)
9.3b
(/ (- y z) (/ (+ (- t z) 1.0) a))

rewrite361.0ms

Algorithm
rewrite-expression-head
Rules
239×*-un-lft-identity
203×times-frac
136×add-sqr-sqrt
87×add-cube-cbrt
44×distribute-lft-out
43×distribute-lft-out--
23×difference-of-squares
22×associate-/r*
10×add-exp-log add-cbrt-cube associate-/l*
8×div-inv
5×add-log-exp
4×cbrt-undiv div-exp associate-/l/
3×pow1 div-sub
2×flip3-- frac-2neg clear-num flip--
1×associate-+l- sub-neg flip3-+ diff-log associate-/r/ flip-+ associate--r-
Counts
3 → 192
Calls
3 calls:
154.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
107.0ms
(/ (+ (- t z) 1.0) a)
89.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

series316.0ms

Counts
3 → 9
Calls
3 calls:
116.0ms
(- x (/ (- y z) (/ (+ (- t z) 1.0) a)))
48.0ms
(/ (+ (- t z) 1.0) a)
152.0ms
(/ (- y z) (/ (+ (- t z) 1.0) a))

simplify1.3s

Counts
201 → 201
Iterations

Useful iterations: done (1.3s)

IterNodesCost
02593964
17773751
237023575
done50003569

prune481.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* (/ (- y z) (- (+ 1.0 t) z)) a))
0.0b
(/ (- y z) (- (+ 1.0 t) z))
0.6b
(* (/ (- y z) (- (+ 1.0 t) z)) a)

rewrite180.0ms

Algorithm
rewrite-expression-head
Rules
110×*-un-lft-identity
82×add-sqr-sqrt
61×times-frac
36×associate-*l*
35×distribute-lft-out--
29×add-cube-cbrt
24×difference-of-squares
11×distribute-lft-out
10×add-exp-log add-cbrt-cube
6×associate-/r*
5×pow1 associate-/l* add-log-exp
4×flip3-- associate-/r/ flip--
3×associate-*r*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv associate-/l/ unswap-sqr
1×sub-neg frac-2neg diff-log div-sub pow-prod-down associate-*l/ clear-num *-commutative
Counts
3 → 125
Calls
3 calls:
5.0ms
(- x (* (/ (- y z) (- (+ 1.0 t) z)) a))
49.0ms
(/ (- y z) (- (+ 1.0 t) z))
120.0ms
(* (/ (- y z) (- (+ 1.0 t) z)) a)

series363.0ms

Counts
3 → 9
Calls
3 calls:
139.0ms
(- x (* (/ (- y z) (- (+ 1.0 t) z)) a))
67.0ms
(/ (- y z) (- (+ 1.0 t) z))
157.0ms
(* (/ (- y z) (- (+ 1.0 t) z)) a)

simplify1.1s

Counts
134 → 134
Iterations

Useful iterations: 2 (267.0ms)

IterNodesCost
01832046
14861961
220641847
done50011847

prune451.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ (- t z) 1.0) a)
0.0b
(/ (+ (- t z) 1.0) a)
3.9b
(/ y (/ (+ (- t z) 1.0) a))
7.9b
(/ z (/ (+ (- t z) 1.0) a))

rewrite361.0ms

Algorithm
rewrite-expression-head
Rules
296×*-un-lft-identity
264×times-frac
136×add-sqr-sqrt add-cube-cbrt
64×distribute-lft-out
44×associate-/r*
32×distribute-lft-out--
18×add-exp-log add-cbrt-cube
16×associate-/l*
12×div-inv
8×cbrt-undiv div-exp
4×pow1 frac-2neg clear-num associate-/l/ add-log-exp
2×associate-+l- flip3-+ div-sub associate-/r/ flip-+
Counts
4 → 264
Calls
4 calls:
107.0ms
(/ (+ (- t z) 1.0) a)
94.0ms
(/ (+ (- t z) 1.0) a)
70.0ms
(/ y (/ (+ (- t z) 1.0) a))
63.0ms
(/ z (/ (+ (- t z) 1.0) a))

series403.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(/ (+ (- t z) 1.0) a)
36.0ms
(/ (+ (- t z) 1.0) a)
171.0ms
(/ y (/ (+ (- t z) 1.0) a))
161.0ms
(/ z (/ (+ (- t z) 1.0) a))

simplify1.4s

Counts
276 → 276
Iterations

Useful iterations: done (1.4s)

IterNodesCost
02894448
17864216
240343948
done50013936

prune856.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

2.3b
(/ (- y z) (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a))))
13.4b
(cbrt (/ (+ (- t z) 1.0) a))
13.4b
(cbrt (/ (+ (- t z) 1.0) a))
13.4b
(cbrt (/ (+ (- t z) 1.0) a))

rewrite172.0ms

Algorithm
rewrite-expression-head
Rules
82×*-un-lft-identity
57×cbrt-prod
50×times-frac
37×add-sqr-sqrt
33×add-cube-cbrt
18×distribute-lft-out
11×distribute-lft-out--
9×add-exp-log
7×cbrt-div add-cbrt-cube
5×associate-/l*
4×pow1 div-inv add-log-exp
3×pow1/3 associate-/r/
2×cbrt-undiv div-exp associate-/l/ difference-of-squares
1×frac-times flip3-- frac-2neg div-sub associate-*r/ associate-*l/ prod-exp clear-num associate-/r* flip-- cbrt-unprod
Counts
4 → 115
Calls
4 calls:
80.0ms
(/ (- y z) (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a))))
25.0ms
(cbrt (/ (+ (- t z) 1.0) a))
32.0ms
(cbrt (/ (+ (- t z) 1.0) a))
27.0ms
(cbrt (/ (+ (- t z) 1.0) a))

series865.0ms

Counts
4 → 12
Calls
4 calls:
263.0ms
(/ (- y z) (* (cbrt (/ (+ (- t z) 1.0) a)) (cbrt (/ (+ (- t z) 1.0) a))))
188.0ms
(cbrt (/ (+ (- t z) 1.0) a))
211.0ms
(cbrt (/ (+ (- t z) 1.0) a))
203.0ms
(cbrt (/ (+ (- t z) 1.0) a))

simplify658.0ms

Counts
127 → 127
Iterations

Useful iterations: done (653.0ms)

IterNodesCost
02032732
14582618
212392418
done50002314

prune540.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes142.0ms

Accuracy

0% (0.2b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01213
11413
done1413

end0.0ms

sample1.5s

Algorithm
intervals
Results
916.0ms8481×body80valid
0.0ms2×body320valid