Details

Time bar (total: 20.5s)

sample49.0ms

Algorithm
intervals
Results
19.0ms273×body80valid

simplify6.5s

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
23811
35211
48011
510611
615011
729711
8107911
done500011

prune4.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.9b

localize18.0ms

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)))

rewrite63.0ms

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:
8.0ms
(- t (* a z))
8.0ms
(- x (* y z))
44.0ms
(/ (- x (* y z)) (- t (* a z)))

series202.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- t (* a z))
44.0ms
(- x (* y z))
112.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify2.1s

Counts
65 → 65
Iterations

Useful iterations: 2 (124.0ms)

IterNodesCost
096852
1252829
2779765
32570765
done5001765

prune518.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 6.7b

localize16.0ms

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)))

rewrite99.0ms

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:
50.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
10.0ms
(/ x (- t (* a z)))
24.0ms
(* y (/ z (- t (* a z))))
9.0ms
(/ z (- t (* a z)))

series353.0ms

Counts
4 → 12
Calls
4 calls:
133.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
69.0ms
(/ x (- t (* a z)))
76.0ms
(* y (/ z (- t (* a z))))
75.0ms
(/ z (- t (* a z)))

simplify2.0s

Counts
118 → 118
Iterations

Useful iterations: done (2.0s)

IterNodesCost
01591582
13661504
210111386
331241386
done50011314

prune465.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize25.0ms

Local error

Found 4 expressions with local error:

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

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
48×add-sqr-sqrt
34×*-un-lft-identity
32×times-frac
23×add-cube-cbrt
10×difference-of-squares
9×associate-/r*
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/l* distribute-lft-out--
4×pow1 flip3-- associate-/r/ flip--
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
1×associate-*r/ frac-sub
Counts
4 → 99
Calls
4 calls:
51.0ms
(- (/ x (- t (* a z))) (* 1 (/ y (- (/ t z) a))))
19.0ms
(- (/ t z) a)
18.0ms
(/ x (- t (* a z)))
47.0ms
(/ y (- (/ t z) a))

series301.0ms

Counts
4 → 12
Calls
4 calls:
138.0ms
(- (/ x (- t (* a z))) (* 1 (/ y (- (/ t z) a))))
36.0ms
(- (/ t z) a)
64.0ms
(/ x (- t (* a z)))
63.0ms
(/ y (- (/ t z) a))

simplify2.0s

Counts
111 → 111
Iterations

Useful iterations: 3 (676.0ms)

IterNodesCost
01781497
13701389
28961321
323881319
done50001319

prune499.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.7b

localize20.0ms

Local error

Found 4 expressions with local error:

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

rewrite160.0ms

Algorithm
rewrite-expression-head
Rules
106×times-frac
85×add-sqr-sqrt
74×*-un-lft-identity
65×add-cube-cbrt
22×associate-/r*
19×add-exp-log
13×add-cbrt-cube
9×div-exp associate-/l*
8×div-inv difference-of-squares
6×distribute-lft-out-- add-log-exp
5×pow1 cbrt-undiv
3×flip3-- frac-2neg clear-num associate-/r/ flip--
2×rec-exp 1-exp associate-/l/
1×sub-neg pow-flip diff-log div-sub associate-*r/ frac-sub inv-pow
Counts
4 → 162
Calls
4 calls:
73.0ms
(- (/ 1 (/ (- t (* a z)) x)) (* 1 (/ y (- (/ t z) a))))
19.0ms
(/ 1 (/ (- t (* a z)) x))
16.0ms
(/ (- t (* a z)) x)
44.0ms
(/ y (- (/ t z) a))

series589.0ms

Counts
4 → 12
Calls
4 calls:
284.0ms
(- (/ 1 (/ (- t (* a z)) x)) (* 1 (/ y (- (/ t z) a))))
182.0ms
(/ 1 (/ (- t (* a z)) x))
83.0ms
(/ (- t (* a z)) x)
38.0ms
(/ y (- (/ t z) a))

simplify2.7s

Counts
174 → 174
Iterations

Useful iterations: 3 (1.4s)

IterNodesCost
02682785
15812459
213802218
339122200
done50002200

prune556.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.7b

regimes190.0ms

Accuracy

0% (1.7b remaining)

Error of 3.2b against oracle of 1.5b and baseline of 3.2b

bsearch0.0ms

simplify2.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01519
11917
done1917

end0.0ms

sample1.1s

Algorithm
intervals
Results
465.0ms8737×body80valid