Details

Time bar (total: 19.9s)

sample23.0ms

Algorithm
intervals
Results
11.0ms273×body80valid

simplify5.9s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
23811
35211
48011
510611
615011
729711
8107911
done500011

prune2.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize10.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
13.5b
(/ (- x (* y z)) (- t (* a z)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
7×add-log-exp
5×add-exp-log add-cbrt-cube
4×flip3-- flip--
3×pow1 associate-/r* associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv frac-2neg div-sub div-exp clear-num div-inv
Counts
3 → 56
Calls
3 calls:
6.0ms
(- t (* a z))
5.0ms
(- x (* y z))
26.0ms
(/ (- x (* y z)) (- t (* a z)))

series153.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(- t (* a z))
44.0ms
(- x (* y z))
72.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify1.8s

Counts
65 → 65
Iterations

Useful iterations: 2 (130.0ms)

IterNodesCost
096852
1252829
2779765
32570765
done5001765

prune205.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 6.7b

localize22.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
2.4b
(/ x (- t (* a z)))
2.7b
(* y (/ z (- t (* a z))))
7.7b
(/ z (- t (* a z)))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×add-cube-cbrt *-un-lft-identity times-frac
15×associate-*r*
13×add-exp-log add-cbrt-cube
6×pow1 associate-/r* associate-/r/ associate-/l* add-log-exp
4×flip3-- flip--
3×cbrt-undiv associate-*r/ div-exp associate-*l* div-inv
2×frac-2neg prod-exp clear-num cbrt-unprod unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative frac-sub sub-div
Counts
4 → 106
Calls
4 calls:
71.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
9.0ms
(/ x (- t (* a z)))
32.0ms
(* y (/ z (- t (* a z))))
13.0ms
(/ z (- t (* a z)))

series351.0ms

Counts
4 → 12
Calls
4 calls:
142.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
52.0ms
(/ x (- t (* a z)))
61.0ms
(* y (/ z (- t (* a z))))
95.0ms
(/ z (- t (* a z)))

simplify1.7s

Counts
118 → 118
Iterations

Useful iterations: done (1.7s)

IterNodesCost
01591582
13661504
210111386
331241386
done50011314

prune432.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize28.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ x (- t (* a z))) (/ (- y) (- (/ t z) a)))
0.0b
(- (/ t z) a)
2.4b
(/ x (- t (* a z)))
2.6b
(/ (- y) (- (/ t z) a))

rewrite228.0ms

Algorithm
rewrite-expression-head
Rules
104×add-sqr-sqrt
89×times-frac
88×*-un-lft-identity
44×add-cube-cbrt
24×difference-of-squares
23×distribute-rgt-neg-in
21×distribute-lft-neg-in
14×distribute-lft-out--
13×associate-/l*
9×associate-/r*
8×add-exp-log add-cbrt-cube add-log-exp
7×neg-mul-1
5×distribute-lft-out
4×pow1 associate-/r/
3×flip3-- distribute-frac-neg flip--
2×cbrt-undiv neg-sub0 frac-2neg div-sub div-exp clear-num div-inv
1×+-commutative associate-+r- sub-neg flip3-+ diff-log unsub-neg frac-add sum-log flip-+
Counts
4 → 156
Calls
4 calls:
131.0ms
(+ (/ x (- t (* a z))) (/ (- y) (- (/ t z) a)))
29.0ms
(- (/ t z) a)
14.0ms
(/ x (- t (* a z)))
47.0ms
(/ (- y) (- (/ t z) a))

series219.0ms

Counts
4 → 12
Calls
4 calls:
101.0ms
(+ (/ x (- t (* a z))) (/ (- y) (- (/ t z) a)))
22.0ms
(- (/ t z) a)
52.0ms
(/ x (- t (* a z)))
43.0ms
(/ (- y) (- (/ t z) a))

simplify2.1s

Counts
168 → 168
Iterations

Useful iterations: 3 (861.0ms)

IterNodesCost
02412477
15182358
212492268
331132263
done50022263

prune577.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (/ 1 (/ (- t (* a z)) x)) (/ (- y) (- (/ t z) a)))
0.4b
(/ 1 (/ (- t (* a z)) x))
2.4b
(/ (- t (* a z)) x)
2.6b
(/ (- y) (- (/ t z) a))

rewrite358.0ms

Algorithm
rewrite-expression-head
Rules
163×times-frac
141×add-sqr-sqrt
129×*-un-lft-identity
86×add-cube-cbrt
23×distribute-rgt-neg-in
22×associate-/r* difference-of-squares
21×distribute-lft-neg-in
19×add-exp-log
16×associate-/l*
13×add-cbrt-cube distribute-lft-out--
9×div-exp
8×div-inv
7×neg-mul-1
6×distribute-lft-out add-log-exp
5×pow1 cbrt-undiv
3×frac-2neg div-sub distribute-frac-neg clear-num associate-/r/
2×neg-sub0 rec-exp flip3-- 1-exp flip-- associate-/l/
1×+-commutative associate-+r- pow-flip flip3-+ unsub-neg frac-add sum-log flip-+ inv-pow
Counts
4 → 219
Calls
4 calls:
273.0ms
(+ (/ 1 (/ (- t (* a z)) x)) (/ (- y) (- (/ t z) a)))
15.0ms
(/ 1 (/ (- t (* a z)) x))
18.0ms
(/ (- t (* a z)) x)
34.0ms
(/ (- y) (- (/ t z) a))

series573.0ms

Counts
4 → 12
Calls
4 calls:
288.0ms
(+ (/ 1 (/ (- t (* a z)) x)) (/ (- y) (- (/ t z) a)))
157.0ms
(/ 1 (/ (- t (* a z)) x))
72.0ms
(/ (- t (* a z)) x)
56.0ms
(/ (- y) (- (/ t z) a))

simplify2.9s

Counts
231 → 231
Iterations

Useful iterations: 3 (1.7s)

IterNodesCost
03303776
17343439
217613165
348513144
done50023144

prune651.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

regimes140.0ms

Accuracy

0% (3.1b remaining)

Error of 3.2b against oracle of 0.1b and baseline of 3.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01518
12118
done2118

end0.0ms

sample1.3s

Algorithm
intervals
Results
533.0ms8737×body80valid