Details

Time bar (total: 17.1s)

sample25.0ms

Algorithm
intervals
Results
13.0ms332×body80valid

simplify2.8s

Counts
1 → 1
Iterations
IterNodes
done5001
133308
122041
111149
10682
9352
8198
7153
6134
5109
472
340
223
114
08

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 6.6b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ x (/ (* y (- z x)) t))
0.0b
(* y (- z x))
7.2b
(/ (* y (- z x)) t)

rewrite90.0ms

Algorithm
rewrite-expression-head
Rules
11×add-sqr-sqrt *-un-lft-identity
10×add-cbrt-cube add-exp-log
7×add-cube-cbrt
5×pow1 associate-*r* add-log-exp
4×associate-*r/
3×associate-/r* times-frac associate-*l* insert-posit16
2×distribute-rgt-in cbrt-undiv sub-neg distribute-lft-in flip3-- div-exp prod-exp cbrt-unprod flip-- associate-/l/
1×+-commutative clear-num sum-log frac-2neg flip3-+ pow-prod-down *-commutative flip-+ div-inv distribute-lft-out associate-/l* distribute-lft-out-- difference-of-squares unswap-sqr
Counts
3 → 64
Calls
3 calls:
16.0ms
(+ x (/ (* y (- z x)) t))
40.0ms
(* y (- z x))
31.0ms
(/ (* y (- z x)) t)

series184.0ms

Counts
3 → 9
Calls
3 calls:
42.0ms
(+ x (/ (* y (- z x)) t))
56.0ms
(* y (- z x))
85.0ms
(/ (* y (- z x)) t)

simplify2.0s

Counts
73 → 73
Iterations
IterNodes
done5006
33610
2872
1306
0116

prune335.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize24.0ms

Local error

Found 2 expressions with local error:

0.0b
(+ x (/ (- z x) (/ t y)))
6.4b
(/ (- z x) (/ t y))

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
119×times-frac
88×*-un-lft-identity
86×add-sqr-sqrt
58×add-cube-cbrt
14×distribute-lft-out-- difference-of-squares
13×associate-/r*
7×add-cbrt-cube add-exp-log div-inv
5×associate-/l*
4×add-log-exp
3×cbrt-undiv div-exp
2×pow1 div-sub insert-posit16 associate-/l/
1×+-commutative clear-num associate-+r- sum-log frac-2neg flip3-+ flip3-- associate-/r/ flip-+ flip-- distribute-lft-out
Counts
2 → 116
Calls
2 calls:
57.0ms
(+ x (/ (- z x) (/ t y)))
40.0ms
(/ (- z x) (/ t y))

series92.0ms

Counts
2 → 6
Calls
2 calls:
38.0ms
(+ x (/ (- z x) (/ t y)))
53.0ms
(/ (- z x) (/ t y))

simplify1.4s

Counts
122 → 122
Iterations
IterNodes
done5002
22009
1659
0219

prune642.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ x (- (/ z (/ t y)) (/ x (/ t y))))
0.0b
(- (/ z (/ t y)) (/ x (/ t y)))
4.2b
(/ z (/ t y))
4.2b
(/ x (/ t y))

rewrite585.0ms

Algorithm
rewrite-expression-head
Rules
212×times-frac
138×add-sqr-sqrt
135×*-un-lft-identity
102×add-cube-cbrt
26×associate-/r*
15×distribute-lft-out--
14×add-cbrt-cube add-exp-log div-inv
11×add-log-exp
9×difference-of-squares
6×cbrt-undiv div-exp associate-/l*
4×pow1 associate-/r/ insert-posit16
2×associate-+r+ clear-num sum-log sub-neg frac-2neg distribute-rgt-out-- diff-log distribute-lft-out
1×+-commutative associate-+r- flip3-+ flip3-- frac-sub flip-+ flip-- sub-div
Counts
4 → 200
Calls
4 calls:
396.0ms
(+ x (- (/ z (/ t y)) (/ x (/ t y))))
158.0ms
(- (/ z (/ t y)) (/ x (/ t y)))
14.0ms
(/ z (/ t y))
9.0ms
(/ x (/ t y))

series153.0ms

Counts
4 → 12
Calls
4 calls:
40.0ms
(+ x (- (/ z (/ t y)) (/ x (/ t y))))
63.0ms
(- (/ z (/ t y)) (/ x (/ t y)))
22.0ms
(/ z (/ t y))
27.0ms
(/ x (/ t y))

simplify1.7s

Counts
212 → 212
Iterations
IterNodes
done5001
22623
1827
0325

prune1.0s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize59.0ms

Local error

Found 4 expressions with local error:

4.2b
(/ x (/ t y))
12.3b
(cbrt (/ x (/ t y)))
12.3b
(cbrt (/ x (/ t y)))
12.3b
(cbrt (/ x (/ t y)))

rewrite48.0ms

Algorithm
rewrite-expression-head
Rules
273×times-frac
151×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
132×cbrt-prod
17×div-inv
13×associate-/r*
9×add-cbrt-cube add-exp-log
4×pow1 associate-/r/ insert-posit16 add-log-exp
3×cbrt-undiv cbrt-div pow1/3 div-exp associate-/l*
1×clear-num frac-2neg
Counts
4 → 233
Calls
4 calls:
11.0ms
(/ x (/ t y))
9.0ms
(cbrt (/ x (/ t y)))
9.0ms
(cbrt (/ x (/ t y)))
10.0ms
(cbrt (/ x (/ t y)))

series355.0ms

Counts
4 → 12
Calls
4 calls:
27.0ms
(/ x (/ t y))
114.0ms
(cbrt (/ x (/ t y)))
114.0ms
(cbrt (/ x (/ t y)))
99.0ms
(cbrt (/ x (/ t y)))

simplify2.6s

Counts
245 → 245
Iterations
IterNodes
done5001
34791
21317
1510
0261

prune1.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes226.0ms

Accuracy

4.5% (1.9b remaining)

Error of 1.9b against oracle of 0.0b and baseline of 2.0b

bsearch82.0ms

Steps
ItersRangePoint
7
4.45424673532477e-117
9.167206180546748e-115
3.5955709352295983e-115
8
-9.315627864142202e-268
-1.8013461359337488e-270
-2.8802141711072454e-269

simplify7.0ms

Iterations
IterNodes
done25
125
019

end0.0ms

sample990.0ms

Algorithm
intervals
Results
587.0ms10622×body80valid