Details

Time bar (total: 17.2s)

sample46.0ms

Algorithm
intervals
Results
22.0ms277×body80valid

simplify5.8s

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: 12.0b

localize9.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
11.7b
(/ (- x (* y z)) (- t (* a z)))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- associate-/r* flip-- associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 44
Calls
2 calls:
5.0ms
(- t (* a z))
28.0ms
(/ (- x (* y z)) (- t (* a z)))

series138.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(- t (* a z))
84.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify2.0s

Counts
50 → 50
Iterations

Useful iterations: 2 (113.0ms)

IterNodesCost
085724
1221706
2681652
32201652
done5000652

prune139.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 7.3b

localize12.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
2.0b
(* y (/ z (- t (* a z))))
3.9b
(/ x (- t (* a z)))
10.2b
(/ z (- t (* a z)))

rewrite149.0ms

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:
67.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
47.0ms
(* y (/ z (- t (* a z))))
15.0ms
(/ x (- t (* a z)))
14.0ms
(/ z (- t (* a z)))

series355.0ms

Counts
4 → 12
Calls
4 calls:
132.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
76.0ms
(* y (/ z (- t (* a z))))
60.0ms
(/ x (- t (* a z)))
87.0ms
(/ z (- t (* a z)))

simplify1.8s

Counts
118 → 118
Iterations

Useful iterations: done (1.8s)

IterNodesCost
01591582
13661504
210071386
331271386
done50011314

prune433.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 1.2b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t z) a)
0.0b
(- (/ x (- t (* a z))) (* 1 (/ y (- (/ t z) a))))
2.3b
(/ y (- (/ t z) a))
3.9b
(/ x (- t (* a z)))

rewrite138.0ms

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:
27.0ms
(- (/ t z) a)
64.0ms
(- (/ x (- t (* a z))) (* 1 (/ y (- (/ t z) a))))
32.0ms
(/ y (- (/ t z) a))
10.0ms
(/ x (- t (* a z)))

series285.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (/ t z) a)
132.0ms
(- (/ x (- t (* a z))) (* 1 (/ y (- (/ t z) a))))
59.0ms
(/ y (- (/ t z) a))
70.0ms
(/ x (- t (* a z)))

simplify1.8s

Counts
111 → 111
Iterations

Useful iterations: 3 (572.0ms)

IterNodesCost
01781497
13701389
28881321
323711319
done50001319

prune485.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
11.7b
(/ (- x (* y z)) (- t (* a z)))

rewrite43.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt add-cube-cbrt *-un-lft-identity
9×times-frac
4×add-exp-log add-cbrt-cube add-log-exp
3×flip3-- associate-/r* flip-- associate-/l*
2×pow1 associate-/r/ associate-/l/
1×cbrt-undiv sub-neg frac-2neg diff-log div-sub div-exp clear-num div-inv
Counts
2 → 44
Calls
2 calls:
15.0ms
(- t (* a z))
26.0ms
(/ (- x (* y z)) (- t (* a z)))

series131.0ms

Counts
2 → 6
Calls
2 calls:
53.0ms
(- t (* a z))
78.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify1.7s

Counts
50 → 50
Iterations

Useful iterations: 2 (116.0ms)

IterNodesCost
085724
1221706
2681652
32201652
done5000652

prune134.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 1.2b

regimes381.0ms

Accuracy

93.9% (0.5b remaining)

Error of 2.0b against oracle of 1.5b and baseline of 10.4b

bsearch3.0ms

simplify35.0ms

Iterations

Useful iterations: 4 (17.0ms)

IterNodesCost
032138
140115
243105
34988
45287
55587
65687
75787
done5787

end0.0ms

sample1.1s

Algorithm
intervals
Results
595.0ms8749×body80valid