Details

Time bar (total: 14.6s)

sample25.0ms

Algorithm
intervals
Results
11.0ms325×body80valid

simplify1.9s

Counts
1 → 1
Iterations
IterNodes
done5002
82925
71629
6983
5570
4240
399
242
122
08

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 11.2b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(* x (+ (- y z) 1.0))
10.5b
(/ (* x (+ (- y z) 1.0)) z)

rewrite123.0ms

Algorithm
rewrite-expression-head
Rules
11×*-un-lft-identity
9×add-cbrt-cube add-exp-log
8×add-sqr-sqrt
6×add-cube-cbrt
5×associate-*r*
4×pow1 associate-*r/
3×associate-/r* times-frac associate-*l*
2×cbrt-undiv flip3-+ div-exp prod-exp cbrt-unprod flip-+ distribute-lft-out add-log-exp associate-/l/
1×distribute-rgt-in clear-num frac-2neg distribute-lft-in pow-prod-down *-commutative div-inv associate-/l* distribute-lft-out-- unswap-sqr
Counts
2 → 47
Calls
2 calls:
67.0ms
(* x (+ (- y z) 1.0))
54.0ms
(/ (* x (+ (- y z) 1.0)) z)

series106.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(* x (+ (- y z) 1.0))
59.0ms
(/ (* x (+ (- y z) 1.0)) z)

simplify2.4s

Counts
53 → 53
Iterations
IterNodes
done5001
34390
2894
1266
094

prune179.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
2.3b
(/ x (/ z (+ (- y z) 1.0)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
150×*-un-lft-identity
138×times-frac
70×add-sqr-sqrt add-cube-cbrt
32×distribute-lft-out
26×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 → 139
Calls
2 calls:
32.0ms
(/ z (+ (- y z) 1.0))
31.0ms
(/ x (/ z (+ (- y z) 1.0)))

series120.0ms

Counts
2 → 6
Calls
2 calls:
63.0ms
(/ z (+ (- y z) 1.0))
57.0ms
(/ x (/ z (+ (- y z) 1.0)))

simplify1.5s

Counts
145 → 145
Iterations
IterNodes
done5001
21761
1512
0200

prune603.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ z (+ (- y z) 1.0))
0.2b
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
2.3b
(/ (/ z (+ (- y z) 1.0)) x)

rewrite241.0ms

Algorithm
rewrite-expression-head
Rules
771×times-frac
595×*-un-lft-identity
335×add-sqr-sqrt add-cube-cbrt
104×distribute-lft-out
75×associate-/r*
52×distribute-lft-out--
35×associate-/r/
31×add-exp-log
27×associate-/l*
23×div-inv
19×add-cbrt-cube div-exp
17×flip3-+ flip-+
10×cbrt-undiv
4×pow1
3×rec-exp clear-num frac-2neg 1-exp add-log-exp
1×pow-flip inv-pow associate-/l/
Counts
3 → 435
Calls
3 calls:
43.0ms
(/ z (+ (- y z) 1.0))
80.0ms
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
74.0ms
(/ (/ z (+ (- y z) 1.0)) x)

series172.0ms

Counts
3 → 9
Calls
3 calls:
61.0ms
(/ z (+ (- y z) 1.0))
41.0ms
(/ 1 (/ (/ z (+ (- y z) 1.0)) x))
70.0ms
(/ (/ z (+ (- y z) 1.0)) x)

simplify2.3s

Counts
444 → 444
Iterations
IterNodes
done5022
23957
11405
0514

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ z (- y (- z 1.0)))
2.3b
(/ (* 1 x) (/ z (- y (- z 1.0))))

rewrite77.0ms

Algorithm
rewrite-expression-head
Rules
83×*-un-lft-identity
78×times-frac
53×add-sqr-sqrt
33×add-cube-cbrt
30×associate-/r* distribute-lft-out--
21×add-exp-log
16×add-cbrt-cube
10×div-exp difference-of-squares
7×cbrt-undiv associate-/r/
4×prod-exp div-inv associate-/l*
3×flip3-- flip--
2×pow1 clear-num frac-2neg 1-exp cbrt-unprod add-log-exp
Counts
2 → 111
Calls
2 calls:
28.0ms
(/ z (- y (- z 1.0)))
45.0ms
(/ (* 1 x) (/ z (- y (- z 1.0))))

series117.0ms

Counts
2 → 6
Calls
2 calls:
55.0ms
(/ z (- y (- z 1.0)))
62.0ms
(/ (* 1 x) (/ z (- y (- z 1.0))))

simplify1.2s

Counts
117 → 117
Iterations
IterNodes
done5002
21637
1452
0180

prune470.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes232.0ms

Accuracy

88.4% (0.4b remaining)

Error of 0.4b against oracle of 0.0b and baseline of 3.2b

bsearch111.0ms

Steps
ItersRangePoint
9
2.240150696418369e-127
1.6075284616162596e-119
1.449695680811044e-119
9
-7.330316831588658e-42
-2.161317633613991e-50
-4.3138525202716566e-45

simplify6.0ms

Iterations
IterNodes
done33
133
023

end0.0ms

sample999.0ms

Algorithm
intervals
Results
763.0ms10004×body80valid