Details

Time bar (total: 10.6s)

sample27.0ms

Algorithm
intervals
Results
10.0ms273×body80valid

simplify559.0ms

Counts
1 → 1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01011
11911
23811
35211
48011
510811
620511
763111
done500011

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 9.6b

localize15.0ms

Local error

Found 2 expressions with local error:

0.0b
(- t (* a z))
9.4b
(/ (- x (* y z)) (- t (* a z)))

rewrite37.0ms

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:
8.0ms
(- t (* a z))
27.0ms
(/ (- x (* y z)) (- t (* a z)))

series128.0ms

Counts
2 → 6
Calls
2 calls:
45.0ms
(- t (* a z))
82.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify2.4s

Counts
50 → 50
Iterations

Useful iterations: 3 (723.0ms)

IterNodesCost
085724
1226706
2839654
34392652
done5000652

prune206.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 9.4b

localize18.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
2.6b
(/ x (- t (* a z)))
9.7b
(/ (* y z) (- t (* a z)))

rewrite98.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
13×times-frac
11×add-exp-log add-cbrt-cube
8×associate-/r/ add-log-exp
6×flip3-- associate-/r* flip--
4×pow1 div-inv associate-/l*
3×cbrt-undiv distribute-rgt-out-- div-exp
2×sub-neg frac-2neg diff-log clear-num difference-of-squares
1×prod-exp frac-sub cbrt-unprod distribute-lft-out-- sub-div
Counts
4 → 84
Calls
4 calls:
5.0ms
(- t (* a z))
59.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
9.0ms
(/ x (- t (* a z)))
22.0ms
(/ (* y z) (- t (* a z)))

series332.0ms

Counts
4 → 12
Calls
4 calls:
47.0ms
(- t (* a z))
150.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
60.0ms
(/ x (- t (* a z)))
74.0ms
(/ (* y z) (- t (* a z)))

simplify934.0ms

Counts
96 → 96
Iterations

Useful iterations: 2 (207.0ms)

IterNodesCost
01391367
13471303
214241203
done50001203

prune347.0ms

Pruning

7 alts after pruning (7 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 (/ (- t (* a z)) z)))
2.0b
(/ y (/ (- t (* a z)) z))
2.6b
(/ x (- t (* a z)))
8.3b
(/ (- t (* a z)) z)

rewrite159.0ms

Algorithm
rewrite-expression-head
Rules
104×times-frac
83×add-sqr-sqrt
68×*-un-lft-identity
62×add-cube-cbrt
19×associate-/r*
13×add-exp-log add-cbrt-cube
9×associate-/l*
7×div-inv
6×add-log-exp difference-of-squares
5×cbrt-undiv div-exp
4×pow1
3×flip3-- frac-2neg clear-num associate-/r/ flip--
2×associate-/l/ distribute-lft-out--
1×sub-neg diff-log div-sub frac-sub
Counts
4 → 150
Calls
4 calls:
92.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
19.0ms
(/ y (/ (- t (* a z)) z))
22.0ms
(/ x (- t (* a z)))
18.0ms
(/ (- t (* a z)) z)

series293.0ms

Counts
4 → 12
Calls
4 calls:
147.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
62.0ms
(/ y (/ (- t (* a z)) z))
44.0ms
(/ x (- t (* a z)))
40.0ms
(/ (- t (* a z)) z)

simplify1.3s

Counts
162 → 162
Iterations

Useful iterations: 2 (478.0ms)

IterNodesCost
02502752
16402636
228732496
done50012496

prune566.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 1.6b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ t z) (/ a 1))
0.0b
(- (/ x (- t (* a z))) (/ y (- (/ t z) (/ a 1))))
2.0b
(/ y (- (/ t z) (/ a 1)))
2.6b
(/ x (- t (* a z)))

rewrite245.0ms

Algorithm
rewrite-expression-head
Rules
125×add-sqr-sqrt
95×times-frac
79×*-un-lft-identity
34×difference-of-squares
28×add-cube-cbrt
14×associate-/r* distribute-lft-out--
8×add-exp-log add-cbrt-cube add-log-exp
6×associate-/l*
5×associate-/r/
4×pow1 flip3-- flip--
3×frac-sub
2×cbrt-undiv sub-neg frac-2neg diff-log div-exp clear-num div-inv
Counts
4 → 132
Calls
4 calls:
25.0ms
(- (/ t z) (/ a 1))
143.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) (/ a 1))))
58.0ms
(/ y (- (/ t z) (/ a 1)))
13.0ms
(/ x (- t (* a z)))

series215.0ms

Counts
4 → 12
Calls
4 calls:
23.0ms
(- (/ t z) (/ a 1))
110.0ms
(- (/ x (- t (* a z))) (/ y (- (/ t z) (/ a 1))))
38.0ms
(/ y (- (/ t z) (/ a 1)))
45.0ms
(/ x (- t (* a z)))

simplify877.0ms

Counts
144 → 144
Iterations

Useful iterations: done (872.0ms)

IterNodesCost
02322391
14761967
215201899
done50001897

prune385.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 1.6b

regimes265.0ms

Accuracy

0% (1.6b remaining)

Error of 3.0b against oracle of 1.5b and baseline of 3.0b

bsearch0.0ms

simplify4.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
01519
11817
21917
done1917

end0.0ms

sample1.2s

Algorithm
intervals
Results
553.0ms8751×body80valid