Details

Time bar (total: 39.7s)

sample68.0ms

Algorithm
intervals
Results
24.0ms267×body80valid

simplify4.8s

Counts
1 → 1
Iterations
IterNodes
done5000
82713
71331
6448
5184
4101
360
235
123
013

prune23.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.3b

localize71.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (* t z) x)
0.0b
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
9.0b
(/ (- (* y z) x) (- (* t z) x))

rewrite383.0ms

Algorithm
rewrite-expression-head
Rules
41×*-un-lft-identity
25×times-frac
21×add-sqr-sqrt add-cube-cbrt
10×distribute-lft-out
7×associate-/r* add-cbrt-cube add-exp-log associate-/l*
5×add-log-exp
4×associate-/r/ associate-/l/
3×pow1 flip3-- div-sub insert-posit16 flip--
2×cbrt-undiv clear-num frac-2neg flip3-+ div-exp flip-+ div-inv
1×associate-+r- sub-neg diff-log
Counts
3 → 88
Calls
3 calls:
20.0ms
(- (* t z) x)
275.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
78.0ms
(/ (- (* y z) x) (- (* t z) x))

series523.0ms

Counts
3 → 9
Calls
3 calls:
48.0ms
(- (* t z) x)
302.0ms
(/ (+ x (/ (- (* y z) x) (- (* t z) x))) (+ x 1.0))
173.0ms
(/ (- (* y z) x) (- (* t z) x))

simplify7.2s

Counts
97 → 97
Iterations
IterNodes
done5007
34397
21155
1394
0154

prune1.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.2b

localize79.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
0.0b
(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
3.3b
(/ x (- (* t z) x))
9.5b
(/ (* y z) (- (* t z) x))

rewrite1.5s

Algorithm
rewrite-expression-head
Rules
64×*-un-lft-identity
33×times-frac
30×add-sqr-sqrt
25×add-cube-cbrt
16×distribute-lft-out
13×add-cbrt-cube add-exp-log
10×associate-/r* associate-/r/
9×associate-/l*
6×distribute-lft-out-- add-log-exp
5×flip3-- div-inv flip--
4×pow1 cbrt-undiv div-exp insert-posit16
3×clear-num frac-2neg distribute-rgt-out--
2×flip3-+ flip-+ difference-of-squares associate-/l/
1×associate-+r- sub-neg diff-log div-sub prod-exp frac-sub cbrt-unprod sub-div
Counts
4 → 122
Calls
4 calls:
190.0ms
(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
1.2s
(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
22.0ms
(/ x (- (* t z) x))
36.0ms
(/ (* y z) (- (* t z) x))

series624.0ms

Counts
4 → 12
Calls
4 calls:
151.0ms
(- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))
264.0ms
(/ (+ x (- (/ (* y z) (- (* t z) x)) (/ x (- (* t z) x)))) (+ x 1.0))
137.0ms
(/ x (- (* t z) x))
71.0ms
(/ (* y z) (- (* t z) x))

simplify3.5s

Counts
134 → 134
Iterations
IterNodes
done5000
21782
1508
0201

prune1.7s

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize90.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
2.5b
(/ y (/ (- (* t z) x) z))
3.3b
(/ x (- (* t z) x))
8.3b
(/ (- (* t z) x) z)

rewrite1.7s

Algorithm
rewrite-expression-head
Rules
113×times-frac
110×*-un-lft-identity
73×add-sqr-sqrt add-cube-cbrt
23×associate-/r*
16×distribute-lft-out
15×add-cbrt-cube add-exp-log
14×associate-/l*
8×div-inv
6×cbrt-undiv div-exp
5×associate-/r/ distribute-lft-out--
4×pow1 clear-num frac-2neg insert-posit16 add-log-exp associate-/l/
2×flip3-+ flip3-- div-sub flip-+ flip--
1×associate-+r-
Counts
4 → 179
Calls
4 calls:
1.6s
(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
41.0ms
(/ y (/ (- (* t z) x) z))
33.0ms
(/ x (- (* t z) x))
31.0ms
(/ (- (* t z) x) z)

series577.0ms

Counts
4 → 12
Calls
4 calls:
251.0ms
(/ (+ x (- (/ y (/ (- (* t z) x) z)) (/ x (- (* t z) x)))) (+ x 1.0))
115.0ms
(/ y (/ (- (* t z) x) z))
144.0ms
(/ x (- (* t z) x))
67.0ms
(/ (- (* t z) x) z)

simplify4.2s

Counts
191 → 191
Iterations
IterNodes
done5004
22471
1733
0288

prune2.4s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize68.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (/ y (- t (/ x z))) (/ x (- (* t z) x)))
0.0b
(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
2.5b
(/ y (- t (/ x z)))
3.3b
(/ x (- (* t z) x))

rewrite2.1s

Algorithm
rewrite-expression-head
Rules
90×*-un-lft-identity
66×add-sqr-sqrt
59×times-frac
34×add-cube-cbrt
16×distribute-lft-out
13×associate-/r* distribute-lft-out--
12×difference-of-squares
11×associate-/l*
10×add-cbrt-cube add-exp-log
6×associate-/r/ add-log-exp
4×pow1 insert-posit16
3×cbrt-undiv clear-num frac-2neg flip3-- div-exp div-inv flip--
2×flip3-+ flip-+ associate-/l/
1×associate-+r- sub-neg diff-log div-sub frac-sub
Counts
4 → 140
Calls
4 calls:
200.0ms
(- (/ y (- t (/ x z))) (/ x (- (* t z) x)))
1.8s
(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
42.0ms
(/ y (- t (/ x z)))
18.0ms
(/ x (- (* t z) x))

series469.0ms

Counts
4 → 12
Calls
4 calls:
98.0ms
(- (/ y (- t (/ x z))) (/ x (- (* t z) x)))
214.0ms
(/ (+ x (- (/ y (- t (/ x z))) (/ x (- (* t z) x)))) (+ x 1.0))
52.0ms
(/ y (- t (/ x z)))
105.0ms
(/ x (- (* t z) x))

simplify2.6s

Counts
152 → 152
Iterations
IterNodes
done5002
21694
1545
0242

prune1.6s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes768.0ms

Accuracy

0% (0.0b remaining)

Error of 0.3b against oracle of 0.3b and baseline of 0.3b

bsearch0.0ms

simplify6.0ms

Iterations
IterNodes
done18
118
015

end0.0ms

sample1.2s

Algorithm
intervals
Results
778.0ms8330×body80valid