Details

Time bar (total: 8.7s)

sample31.0ms

Algorithm
intervals
Results
19.0ms287×body80valid

simplify573.0ms

Counts
1 → 1
Iterations
IterNodes
done2003
8723
7277
6156
5104
480
352
238
119
010

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.1b

localize21.0ms

Local error

Found 3 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- x (* y z))
10.1b
(/ (- x (* y z)) (- t (* a z)))

rewrite37.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
7×add-log-exp
5×add-cbrt-cube add-exp-log
4×flip3-- flip--
3×pow1 associate-/r* insert-posit16 associate-/l*
2×sub-neg diff-log associate-/r/ associate-/l/
1×cbrt-undiv clear-num frac-2neg div-sub div-exp div-inv
Counts
3 → 59
Calls
3 calls:
7.0ms
(- t (* a z))
10.0ms
(- x (* y z))
19.0ms
(/ (- x (* y z)) (- t (* a z)))

series164.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(- t (* a z))
43.0ms
(- x (* y z))
77.0ms
(/ (- x (* y z)) (- t (* a z)))

simplify529.0ms

Counts
68 → 68
Iterations
IterNodes
done2003
2805
1260
099

prune331.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 9.9b

localize20.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* a z))
0.0b
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
2.2b
(/ x (- t (* a z)))
11.9b
(/ (* y z) (- t (* a z)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
19×add-sqr-sqrt
16×*-un-lft-identity
14×add-cube-cbrt
13×times-frac
11×add-cbrt-cube add-exp-log
8×associate-/r/ add-log-exp
6×associate-/r* flip3-- flip--
4×pow1 insert-posit16 div-inv associate-/l*
3×cbrt-undiv distribute-rgt-out-- div-exp
2×clear-num sub-neg frac-2neg diff-log difference-of-squares
1×prod-exp frac-sub cbrt-unprod distribute-lft-out-- sub-div
Counts
4 → 88
Calls
4 calls:
7.0ms
(- t (* a z))
53.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
11.0ms
(/ x (- t (* a z)))
12.0ms
(/ (* y z) (- t (* a z)))

series267.0ms

Counts
4 → 12
Calls
4 calls:
44.0ms
(- t (* a z))
123.0ms
(- (/ x (- t (* a z))) (/ (* y z) (- t (* a z))))
42.0ms
(/ x (- t (* a z)))
57.0ms
(/ (* y z) (- t (* a z)))

simplify608.0ms

Counts
100 → 100
Iterations
IterNodes
done2000
21184
1351
0143

prune520.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 5.2b

localize34.0ms

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))))
2.2b
(/ x (- t (* a z)))
6.9b
(/ z (- t (* a z)))

rewrite82.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×*-un-lft-identity times-frac add-cube-cbrt
15×associate-*r*
13×add-cbrt-cube add-exp-log
6×pow1 associate-/r* associate-/r/ associate-/l* add-log-exp
4×flip3-- insert-posit16 flip--
3×cbrt-undiv div-exp associate-*l* associate-*r/ div-inv
2×clear-num frac-2neg prod-exp cbrt-unprod unswap-sqr
1×sub-neg diff-log pow-prod-down *-commutative frac-sub sub-div
Counts
4 → 110
Calls
4 calls:
40.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
24.0ms
(* y (/ z (- t (* a z))))
9.0ms
(/ x (- t (* a z)))
8.0ms
(/ z (- t (* a z)))

series271.0ms

Counts
4 → 12
Calls
4 calls:
106.0ms
(- (/ x (- t (* a z))) (* y (/ z (- t (* a z)))))
54.0ms
(* y (/ z (- t (* a z))))
43.0ms
(/ x (- t (* a z)))
68.0ms
(/ z (- t (* a z)))

simplify790.0ms

Counts
122 → 122
Iterations
IterNodes
done2005
21382
1394
0163

prune666.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 5.2b

localize28.0ms

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))
2.2b
(/ x (- t (* a z)))
6.8b
(/ (- t (* a z)) z)

rewrite93.0ms

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-cbrt-cube add-exp-log
9×associate-/l*
7×div-inv
6×add-log-exp difference-of-squares
5×cbrt-undiv div-exp
4×pow1 insert-posit16
3×clear-num frac-2neg flip3-- associate-/r/ flip--
2×distribute-lft-out-- associate-/l/
1×sub-neg diff-log div-sub frac-sub
Counts
4 → 154
Calls
4 calls:
52.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
12.0ms
(/ y (/ (- t (* a z)) z))
10.0ms
(/ x (- t (* a z)))
16.0ms
(/ (- t (* a z)) z)

series287.0ms

Counts
4 → 12
Calls
4 calls:
129.0ms
(- (/ x (- t (* a z))) (/ y (/ (- t (* a z)) z)))
56.0ms
(/ y (/ (- t (* a z)) z))
55.0ms
(/ x (- t (* a z)))
47.0ms
(/ (- t (* a z)) z)

simplify503.0ms

Counts
166 → 166
Iterations
IterNodes
done2000
1638
0254

prune890.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.7b

regimes320.0ms

Accuracy

0% (1.5b remaining)

Error of 2.9b against oracle of 1.4b and baseline of 2.9b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done13
113
012

end0.0ms

sample1.6s

Algorithm
intervals
Results
1.2s8720×body80valid