Details

Time bar (total: 15.9s)

sample25.0ms

Algorithm
intervals
Results
11.0ms256×body80valid

simplify3.7s

Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
01621
13221
27021
312821
427521
548321
680521
7165021
8317821
9489521
done500021

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 28.0b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
1.6b
(+ (* (+ x y) z) (* (+ t y) a))
2.2b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.2b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

rewrite124.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
18×add-sqr-sqrt
16×add-cube-cbrt
15×times-frac
13×distribute-lft-out
11×add-log-exp
10×associate-*l/
8×add-exp-log add-cbrt-cube
7×flip3-+ flip-+
6×pow1
5×associate-/r*
4×associate-*l* frac-add
3×associate-*r* associate-/l*
2×flip3-- diff-log sum-log associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg div-sub div-exp pow-prod-down prod-exp associate--l+ clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 90
Calls
4 calls:
9.0ms
(* (+ t y) a)
5.0ms
(+ (* (+ x y) z) (* (+ t y) a))
32.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
73.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

series724.0ms

Counts
4 → 12
Calls
4 calls:
20.0ms
(* (+ t y) a)
44.0ms
(+ (* (+ x y) z) (* (+ t y) a))
96.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
564.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ (+ x t) y))

simplify587.0ms

Counts
102 → 102
Iterations

Useful iterations: 2 (174.0ms)

IterNodesCost
01772307
15202201
219712077
done50012077

prune296.0ms

Pruning

12 alts after pruning (12 fresh and 0 done)

Merged error: 10.4b

localize14.0ms

Local error

Found 4 expressions with local error:

0.0b
(/ 1 (+ (+ x t) y))
1.6b
(+ (* (+ x y) z) (* (+ t y) a))
2.2b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.2b
(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

rewrite183.0ms

Algorithm
rewrite-expression-head
Rules
60×*-un-lft-identity
32×times-frac
31×add-sqr-sqrt
24×add-cube-cbrt
21×associate-*r* distribute-lft-out
17×add-exp-log
11×add-cbrt-cube add-log-exp
10×associate-*l/
7×pow1 flip3-+ flip-+
5×associate-/r*
4×div-exp frac-add prod-exp associate-/r/
3×flip3-- associate-*l* flip-- associate-/l* unswap-sqr
2×cbrt-undiv frac-times rec-exp diff-log 1-exp sum-log cbrt-unprod div-inv
1×+-commutative sub-neg pow-flip frac-2neg associate-*r/ pow-prod-down associate--l+ clear-num un-div-inv *-commutative inv-pow
Counts
4 → 118
Calls
4 calls:
17.0ms
(/ 1 (+ (+ x t) y))
5.0ms
(+ (* (+ x y) z) (* (+ t y) a))
31.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
126.0ms
(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

series736.0ms

Counts
4 → 12
Calls
4 calls:
52.0ms
(/ 1 (+ (+ x t) y))
46.0ms
(+ (* (+ x y) z) (* (+ t y) a))
90.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
548.0ms
(* (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (/ 1 (+ (+ x t) y)))

simplify590.0ms

Counts
130 → 130
Iterations

Useful iterations: 2 (164.0ms)

IterNodesCost
01922712
15632436
221032236
done50002236

prune308.0ms

Pruning

13 alts after pruning (12 fresh and 1 done)

Merged error: 10.4b

localize15.0ms

Local error

Found 4 expressions with local error:

0.0b
(* (+ t y) a)
1.6b
(+ (* (+ x y) z) (* (+ t y) a))
2.2b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
26.2b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ x (+ t y)))

rewrite117.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
18×add-sqr-sqrt
16×add-cube-cbrt
15×times-frac
13×distribute-lft-out
11×add-log-exp
10×associate-*l/
8×add-exp-log add-cbrt-cube
7×flip3-+ flip-+
6×pow1
5×associate-/r*
4×associate-*l* frac-add
3×associate-*r* associate-/l*
2×flip3-- diff-log sum-log associate-/r/ flip-- associate-/l/
1×cbrt-undiv +-commutative sub-neg frac-2neg div-sub div-exp pow-prod-down prod-exp associate--l+ clear-num *-commutative cbrt-unprod div-inv unswap-sqr
Counts
4 → 90
Calls
4 calls:
9.0ms
(* (+ t y) a)
5.0ms
(+ (* (+ x y) z) (* (+ t y) a))
31.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
69.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ x (+ t y)))

series706.0ms

Counts
4 → 12
Calls
4 calls:
19.0ms
(* (+ t y) a)
47.0ms
(+ (* (+ x y) z) (* (+ t y) a))
93.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
547.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (+ x (+ t y)))

simplify578.0ms

Counts
102 → 102
Iterations

Useful iterations: 2 (167.0ms)

IterNodesCost
01752307
15112195
219762077
done50002077

prune280.0ms

Pruning

13 alts after pruning (11 fresh and 2 done)

Merged error: 10.4b

localize17.0ms

Local error

Found 4 expressions with local error:

1.6b
(+ (* (+ x y) z) (* (+ t y) a))
2.2b
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
10.6b
(/ (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ x (+ t y))) (cbrt (+ x (+ t y))))) (cbrt (+ x (+ t y))))
15.5b
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ x (+ t y))) (cbrt (+ x (+ t y)))))

rewrite205.0ms

Algorithm
rewrite-expression-head
Rules
150×times-frac
136×*-un-lft-identity
122×cbrt-div
82×associate-/r/
80×cbrt-prod
66×flip3-+ flip-+
56×add-sqr-sqrt add-cube-cbrt
48×distribute-lft-out
40×frac-times
28×associate-*l/
20×associate-*r/
18×add-exp-log associate-/l*
11×add-cbrt-cube div-inv add-log-exp
9×associate-/r*
7×cbrt-undiv div-exp
4×pow1 frac-add
3×div-sub associate-/l/
2×flip3-- frac-2neg diff-log prod-exp clear-num sum-log flip-- cbrt-unprod
1×+-commutative sub-neg associate--l+
Counts
4 → 224
Calls
4 calls:
5.0ms
(+ (* (+ x y) z) (* (+ t y) a))
31.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
83.0ms
(/ (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ x (+ t y))) (cbrt (+ x (+ t y))))) (cbrt (+ x (+ t y))))
72.0ms
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ x (+ t y))) (cbrt (+ x (+ t y)))))

series3.7s

Counts
4 → 12
Calls
4 calls:
43.0ms
(+ (* (+ x y) z) (* (+ t y) a))
91.0ms
(- (+ (* (+ x y) z) (* (+ t y) a)) (* y b))
759.0ms
(/ (/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ x (+ t y))) (cbrt (+ x (+ t y))))) (cbrt (+ x (+ t y))))
2.8s
(/ (- (+ (* (+ x y) z) (* (+ t y) a)) (* y b)) (* (cbrt (+ x (+ t y))) (cbrt (+ x (+ t y)))))

simplify1.1s

Counts
236 → 236
Iterations

Useful iterations: 2 (503.0ms)

IterNodesCost
039711965
1106111143
2380210645
done500110645

prune659.0ms

Pruning

14 alts after pruning (11 fresh and 3 done)

Merged error: 10.4b

regimes419.0ms

Accuracy

20.5% (14.7b remaining)

Error of 23.3b against oracle of 8.6b and baseline of 27.1b

bsearch83.0ms

Steps
ItersRangePoint
8
2.3096554450659235e+83
1.3309592285936424e+88
1.3064498959994905e+88
7
-5.0561752247969205e+185
-1.7196627288471757e+184
-1.880580953353143e+184

simplify3.0ms

Iterations

Useful iterations: 1 (2.0ms)

IterNodesCost
02437
13831
done3831

end0.0ms

sample618.0ms

Algorithm
intervals
Results
361.0ms7995×body80valid
0.0ms3×body160valid
0.0ms1×body1280valid
0.0ms1×body320valid