Details

Time bar (total: 12.2s)

sample23.0ms

Algorithm
intervals
Results
11.0ms324×body80valid

simplify50.0ms

Counts
1 → 1
Iterations
IterNodes
done51
851
750
646
542
435
331
220
116
06

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.5b

localize18.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ y z))
11.0b
(/ (* x (+ y z)) z)

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt *-un-lft-identity
6×add-cube-cbrt
4×pow1 associate-*r* associate-*r/
3×associate-/r* times-frac associate-*l*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ add-log-exp associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 46
Calls
2 calls:
23.0ms
(* x (+ y z))
14.0ms
(/ (* x (+ y z)) z)

series95.0ms

Counts
2 → 6
Calls
2 calls:
41.0ms
(* x (+ y z))
54.0ms
(/ (* x (+ y z)) z)

simplify2.6s

Counts
52 → 52
Iterations
IterNodes
done5048
33730
2833
1239
086

prune324.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ y z))
3.1b
(/ x (/ z (+ y z)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
114×times-frac
94×*-un-lft-identity
62×add-sqr-sqrt add-cube-cbrt
22×associate-/r*
16×distribute-lft-out
11×associate-/r/
9×add-cbrt-cube add-exp-log
6×div-inv associate-/l*
5×flip3-+ flip-+
4×cbrt-undiv div-exp
2×pow1 clear-num frac-2neg add-log-exp
Counts
2 → 123
Calls
2 calls:
9.0ms
(/ z (+ y z))
14.0ms
(/ x (/ z (+ y z)))

series141.0ms

Counts
2 → 6
Calls
2 calls:
54.0ms
(/ z (+ y z))
87.0ms
(/ x (/ z (+ y z)))

simplify1.6s

Counts
129 → 129
Iterations
IterNodes
done5000
21631
1477
0187

prune598.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ (/ (* x y) z) x)
5.4b
(/ (* x y) z)

rewrite40.0ms

Algorithm
rewrite-expression-head
Rules
7×add-cbrt-cube add-exp-log
6×*-un-lft-identity
4×add-sqr-sqrt add-cube-cbrt add-log-exp
3×associate-/r* times-frac
2×pow1 cbrt-undiv div-exp
1×+-commutative clear-num sum-log frac-2neg flip3-+ prod-exp cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
Counts
2 → 33
Calls
2 calls:
30.0ms
(+ (/ (* x y) z) x)
8.0ms
(/ (* x y) z)

series116.0ms

Counts
2 → 6
Calls
2 calls:
66.0ms
(+ (/ (* x y) z) x)
50.0ms
(/ (* x y) z)

simplify2.5s

Counts
39 → 39
Iterations
IterNodes
done5115
33571
2705
1183
067

prune243.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

0.0b
(* x (+ y z))
0.2b
(/ 1 (/ z (* x (+ y z))))
11.0b
(/ z (* x (+ y z)))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
42×times-frac
31×add-exp-log
27×add-sqr-sqrt *-un-lft-identity
25×add-cube-cbrt
19×add-cbrt-cube
14×div-exp
12×associate-*r/
11×associate-/r/
10×associate-/r*
7×cbrt-undiv
6×pow1 flip3-+ flip-+ div-inv associate-/l*
5×prod-exp
4×associate-*r*
3×rec-exp 1-exp associate-*l* cbrt-unprod add-log-exp
2×clear-num frac-2neg
1×distribute-rgt-in distribute-lft-in pow-prod-down *-commutative pow-flip distribute-lft-out inv-pow unswap-sqr
Counts
3 → 110
Calls
3 calls:
17.0ms
(* x (+ y z))
24.0ms
(/ 1 (/ z (* x (+ y z))))
17.0ms
(/ z (* x (+ y z)))

series207.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(* x (+ y z))
78.0ms
(/ 1 (/ z (* x (+ y z))))
75.0ms
(/ z (* x (+ y z)))

simplify1.9s

Counts
119 → 119
Iterations
IterNodes
done5010
21677
1424
0168

prune497.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes213.0ms

Accuracy

29.2% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 3.1b

bsearch124.0ms

Steps
ItersRangePoint
11
1.2458541306559388e-241
5.2402596088572616e-216
2.1107752358932127e-216
7
-1.1847826194493546e+33
-5.90791172990774e+31
-7.915584825269419e+31

simplify5.0ms

Iterations
IterNodes
done21
121
015

end0.0ms

sample776.0ms

Algorithm
intervals
Results
370.0ms9638×body80valid