Details

Time bar (total: 10.1s)

sample56.0ms

Algorithm
intervals
Results
19.0ms273×body80valid

simplify489.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
7631
6205
5108
480
352
238
119
010

prune20.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 10.8b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(- x (* z y))
0.0b
(- t (* z a))
10.5b
(/ (- x (* z y)) (- t (* z a)))

rewrite39.0ms

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* 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 → 56
Calls
3 calls:
7.0ms
(- x (* z y))
7.0ms
(- t (* z a))
23.0ms
(/ (- x (* z y)) (- t (* z a)))

series210.0ms

Counts
3 → 9
Calls
3 calls:
57.0ms
(- x (* z y))
56.0ms
(- t (* z a))
97.0ms
(/ (- x (* z y)) (- t (* z a)))

simplify610.0ms

Counts
65 → 65
Iterations
IterNodes
done5000
21125
1259
096

prune328.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 6.3b

localize21.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* z a))
1.9b
(* (/ z (- t (* z a))) y)
4.3b
(/ x (- t (* z a)))
7.4b
(/ z (- t (* z a)))

rewrite44.0ms

Algorithm
rewrite-expression-head
Rules
33×add-sqr-sqrt
28×*-un-lft-identity times-frac add-cube-cbrt
15×associate-*l*
13×add-cbrt-cube add-exp-log
6×pow1 associate-/r* associate-/r/ associate-/l* add-log-exp
4×flip3-- flip--
3×cbrt-undiv div-exp associate-*r* div-inv
2×clear-num frac-2neg prod-exp cbrt-unprod unswap-sqr
1×sub-neg diff-log pow-prod-down associate-*l/ *-commutative
Counts
4 → 104
Calls
4 calls:
4.0ms
(- t (* z a))
23.0ms
(* (/ z (- t (* z a))) y)
7.0ms
(/ x (- t (* z a)))
7.0ms
(/ z (- t (* z a)))

series339.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- t (* z a))
162.0ms
(* (/ z (- t (* z a))) y)
83.0ms
(/ x (- t (* z a)))
60.0ms
(/ z (- t (* z a)))

simplify720.0ms

Counts
116 → 116
Iterations
IterNodes
done5000
21453
1355
0149

prune680.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 2.2b

localize25.0ms

Local error

Found 4 expressions with local error:

0.0b
(- t (* z a))
0.3b
(/ 1 (- (/ t z) (/ a 1)))
1.9b
(* (/ 1 (- (/ t z) (/ a 1))) y)
4.3b
(/ x (- t (* z a)))

rewrite135.0ms

Algorithm
rewrite-expression-head
Rules
170×add-sqr-sqrt
140×times-frac
101×*-un-lft-identity
44×add-cube-cbrt
42×difference-of-squares
40×associate-*l*
19×add-exp-log
14×associate-/r* distribute-lft-out--
13×add-cbrt-cube
8×associate-/r/
7×pow1
6×associate-/l* add-log-exp
5×div-exp
4×flip3-- prod-exp flip--
3×cbrt-undiv associate-*r* div-inv unswap-sqr
2×rec-exp clear-num frac-2neg 1-exp frac-sub cbrt-unprod
1×sub-neg diff-log pow-prod-down associate-*l/ *-commutative pow-flip inv-pow
Counts
4 → 169
Calls
4 calls:
4.0ms
(- t (* z a))
34.0ms
(/ 1 (- (/ t z) (/ a 1)))
83.0ms
(* (/ 1 (- (/ t z) (/ a 1))) y)
7.0ms
(/ x (- t (* z a)))

series260.0ms

Counts
4 → 12
Calls
4 calls:
34.0ms
(- t (* z a))
63.0ms
(/ 1 (- (/ t z) (/ a 1)))
121.0ms
(* (/ 1 (- (/ t z) (/ a 1))) y)
43.0ms
(/ x (- t (* z a)))

simplify1.0s

Counts
181 → 181
Iterations
IterNodes
done5001
22270
1602
0254

prune942.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.1b

localize32.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ x (- t (* z a))) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ y (- (/ t z) a))))
0.0b
(- t (* z a))
2.0b
(/ y (- (/ t z) a))
4.3b
(/ x (- t (* z a)))

rewrite69.0ms

Algorithm
rewrite-expression-head
Rules
43×add-sqr-sqrt
31×*-un-lft-identity times-frac
23×add-cube-cbrt
9×associate-/r*
8×add-cbrt-cube add-exp-log add-log-exp difference-of-squares
6×associate-/l*
4×pow1 flip3-- associate-/r/ flip-- distribute-lft-out--
3×frac-sub
2×cbrt-undiv clear-num sub-neg frac-2neg diff-log div-exp div-inv
1×frac-times associate-*l/ associate-*r/
Counts
4 → 97
Calls
4 calls:
36.0ms
(- (/ x (- t (* z a))) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ y (- (/ t z) a))))
4.0ms
(- t (* z a))
19.0ms
(/ y (- (/ t z) a))
7.0ms
(/ x (- t (* z a)))

series218.0ms

Counts
4 → 12
Calls
4 calls:
104.0ms
(- (/ x (- t (* z a))) (* (/ (* (cbrt 1) (cbrt 1)) (/ 1 1)) (/ y (- (/ t z) a))))
35.0ms
(- t (* z a))
38.0ms
(/ y (- (/ t z) a))
40.0ms
(/ x (- t (* z a)))

simplify1.0s

Counts
109 → 109
Iterations
IterNodes
done5000
21675
1442
0193

prune661.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 2.1b

regimes591.0ms

Accuracy

44.6% (1.2b remaining)

Error of 2.5b against oracle of 1.3b and baseline of 3.4b

bsearch104.0ms

Steps
ItersRangePoint
7
7.695838515569772e+117
1.5958334848383986e+119
7.783541437199553e+117
5
-1.0385201596785602e+64
-3.473568020675254e+63
-3.5518499252433786e+63

simplify12.0ms

Iterations
IterNodes
done48
248
146
035

end0.0ms

sample1.4s

Algorithm
intervals
Results
512.0ms8698×body80valid