Details

Time bar (total: 23.8s)

sample50.0ms

Algorithm
intervals
Results
27.0ms360×body80valid

simplify4.6s

Counts
1 → 1
Iterations
IterNodes
done5001
244881
234699
224472
214270
204070
193868
183646
173460
163233
153031
142826
132618
122415
112233
101991
91774
81492
71119
6768
5428
4213
3120
265
132
017

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.4b

localize48.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ (* x y) (/ (* z t) 16.0))
0.0b
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
0.2b
(/ (* a b) 4.0)
0.2b
(/ (* z t) 16.0)

rewrite337.0ms

Algorithm
rewrite-expression-head
Rules
15×add-log-exp
14×add-cbrt-cube add-exp-log
13×*-un-lft-identity
8×add-sqr-sqrt add-cube-cbrt
6×associate-/r* times-frac
5×sum-log
4×pow1 cbrt-undiv div-exp insert-posit16
3×associate-+l+
2×+-commutative clear-num frac-2neg flip3-+ diff-log prod-exp cbrt-unprod flip-+ div-inv distribute-lft-out associate-/l*
1×sub-neg associate--l+ associate-+l- distribute-lft-out--
Counts
4 → 76
Calls
4 calls:
16.0ms
(+ (* x y) (/ (* z t) 16.0))
287.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
15.0ms
(/ (* a b) 4.0)
16.0ms
(/ (* z t) 16.0)

series281.0ms

Counts
4 → 12
Calls
4 calls:
65.0ms
(+ (* x y) (/ (* z t) 16.0))
175.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ (* a b) 4.0)) c)
21.0ms
(/ (* a b) 4.0)
20.0ms
(/ (* z t) 16.0)

simplify1.1s

Counts
88 → 88
Iterations
IterNodes
done5002
21553
1423
0162

prune543.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x y) (/ z (/ 16.0 t))) (/ (* a b) 4.0))
0.0b
(+ (- (+ (* x y) (/ z (/ 16.0 t))) (/ (* a b) 4.0)) c)
0.2b
(/ z (/ 16.0 t))
0.2b
(/ (* a b) 4.0)

rewrite948.0ms

Algorithm
rewrite-expression-head
Rules
78×times-frac
55×*-un-lft-identity
50×add-sqr-sqrt
48×add-cube-cbrt
18×add-log-exp
16×associate-/r*
14×add-cbrt-cube add-exp-log
6×div-inv
5×cbrt-undiv sum-log div-exp
4×pow1 diff-log insert-posit16 associate-/l*
3×associate-+l+
2×clear-num sub-neg frac-2neg flip3-+ associate--l+ frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative flip3-- prod-exp associate-/r/ associate-+l- cbrt-unprod flip-- difference-of-squares
Counts
4 → 132
Calls
4 calls:
216.0ms
(- (+ (* x y) (/ z (/ 16.0 t))) (/ (* a b) 4.0))
706.0ms
(+ (- (+ (* x y) (/ z (/ 16.0 t))) (/ (* a b) 4.0)) c)
11.0ms
(/ z (/ 16.0 t))
11.0ms
(/ (* a b) 4.0)

series420.0ms

Counts
4 → 12
Calls
4 calls:
126.0ms
(- (+ (* x y) (/ z (/ 16.0 t))) (/ (* a b) 4.0))
237.0ms
(+ (- (+ (* x y) (/ z (/ 16.0 t))) (/ (* a b) 4.0)) c)
28.0ms
(/ z (/ 16.0 t))
29.0ms
(/ (* a b) 4.0)

simplify1.7s

Counts
144 → 144
Iterations
IterNodes
done5003
22347
1718
0281

prune757.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize42.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
0.0b
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b))) c)
0.2b
(/ (* z t) 16.0)
0.2b
(/ a (/ 4.0 b))

rewrite480.0ms

Algorithm
rewrite-expression-head
Rules
81×times-frac
57×add-sqr-sqrt
55×*-un-lft-identity
48×add-cube-cbrt
18×add-log-exp
16×associate-/r*
14×add-cbrt-cube add-exp-log
6×div-inv
5×cbrt-undiv sum-log div-exp
4×pow1 diff-log insert-posit16 associate-/l*
3×associate-+l+ difference-of-squares
2×clear-num sub-neg frac-2neg flip3-+ associate--l+ frac-sub flip-+ distribute-lft-out distribute-lft-out--
1×+-commutative flip3-- prod-exp associate-/r/ associate-+l- cbrt-unprod flip--
Counts
4 → 134
Calls
4 calls:
89.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
359.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b))) c)
11.0ms
(/ (* z t) 16.0)
15.0ms
(/ a (/ 4.0 b))

series324.0ms

Counts
4 → 12
Calls
4 calls:
97.0ms
(- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b)))
182.0ms
(+ (- (+ (* x y) (/ (* z t) 16.0)) (/ a (/ 4.0 b))) c)
21.0ms
(/ (* z t) 16.0)
24.0ms
(/ a (/ 4.0 b))

simplify2.1s

Counts
146 → 146
Iterations
IterNodes
done5000
22550
1727
0286

prune804.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0.0b

localize68.0ms

Local error

Found 4 expressions with local error:

1.5b
(- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0)))
3.5b
(- (* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) (/ 4.0 b)) (* (- (* x y) (/ (* z t) 16.0)) a))
5.9b
(* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) (/ 4.0 b))
28.3b
(/ (- (* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) (/ 4.0 b)) (* (- (* x y) (/ (* z t) 16.0)) a)) (* (- (* x y) (/ (* z t) 16.0)) (/ 4.0 b)))

rewrite530.0ms

Algorithm
rewrite-expression-head
Rules
32×associate-*l/
25×flip3-- flip--
20×frac-sub
19×add-sqr-sqrt
18×add-cbrt-cube add-exp-log
14×*-un-lft-identity add-cube-cbrt
13×times-frac associate-*r*
12×frac-times associate-/l/
8×add-log-exp
6×pow1 associate-*r/
5×cbrt-undiv div-exp associate-/r/
4×associate-*l* prod-exp cbrt-unprod insert-posit16
3×associate-/l*
2×sub-neg diff-log div-inv difference-of-squares unswap-sqr
1×clear-num associate-/r* frac-2neg div-sub pow-prod-down *-commutative
Counts
4 → 117
Calls
4 calls:
42.0ms
(- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0)))
107.0ms
(- (* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) (/ 4.0 b)) (* (- (* x y) (/ (* z t) 16.0)) a))
154.0ms
(* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) (/ 4.0 b))
220.0ms
(/ (- (* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) (/ 4.0 b)) (* (- (* x y) (/ (* z t) 16.0)) a)) (* (- (* x y) (/ (* z t) 16.0)) (/ 4.0 b)))

series1.1s

Counts
4 → 12
Calls
4 calls:
156.0ms
(- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0)))
391.0ms
(- (* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) (/ 4.0 b)) (* (- (* x y) (/ (* z t) 16.0)) a))
181.0ms
(* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) (/ 4.0 b))
400.0ms
(/ (- (* (- (* (* x y) (* x y)) (* (/ (* z t) 16.0) (/ (* z t) 16.0))) (/ 4.0 b)) (* (- (* x y) (/ (* z t) 16.0)) a)) (* (- (* x y) (/ (* z t) 16.0)) (/ 4.0 b)))

simplify2.9s

Counts
129 → 129
Iterations
IterNodes
done5002
24806
1950
0266

prune1.2s

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes1.4s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done21
121
017

end0.0ms

sample2.1s

Algorithm
intervals
Results
1.5s12003×body80valid