Details

Time bar (total: 25.0s)

sample58.0ms

Algorithm
intervals
Results
31.0ms416×body80valid

simplify2.5s

Counts
1 → 1
Iterations
IterNodes
done5000
74383
61002
5377
4203
3110
259
123
011

prune13.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.3b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(+ y (* (/ (+ z x) y) (- x z)))
0.0b
(/ (+ z x) y)
0.2b
(/ (+ y (* (/ (+ z x) y) (- x z))) 2.0)
0.2b
(* (/ (+ z x) y) (- x z))

rewrite155.0ms

Algorithm
rewrite-expression-head
Rules
71×*-un-lft-identity
62×add-sqr-sqrt
55×add-cube-cbrt
36×prod-diff
34×times-frac
22×distribute-rgt-in associate-+r+ distribute-lft-in
16×associate-*l*
13×add-cbrt-cube add-exp-log
7×distribute-lft-out associate-/l*
6×pow1 associate-/r* add-log-exp
5×associate-*r*
4×expm1-log1p-u sub-neg log1p-expm1-u associate-/l/
3×cbrt-undiv fma-def flip3-+ div-exp flip-+ div-inv
2×frac-times clear-num frac-2neg flip3-- prod-exp associate-*r/ cbrt-unprod flip-- unswap-sqr
1×+-commutative sum-log pow-prod-down associate-*l/ *-commutative distribute-lft-out-- difference-of-squares
Counts
4 → 169
Calls
4 calls:
10.0ms
(+ y (* (/ (+ z x) y) (- x z)))
16.0ms
(/ (+ z x) y)
49.0ms
(/ (+ y (* (/ (+ z x) y) (- x z))) 2.0)
75.0ms
(* (/ (+ z x) y) (- x z))

series268.0ms

Counts
4 → 12
Calls
4 calls:
67.0ms
(+ y (* (/ (+ z x) y) (- x z)))
30.0ms
(/ (+ z x) y)
104.0ms
(/ (+ y (* (/ (+ z x) y) (- x z))) 2.0)
67.0ms
(* (/ (+ z x) y) (- x z))

simplify2.4s

Counts
181 → 181
Iterations
IterNodes
done5001
24025
1724
0272

prune1.0s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.3b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ z x) y)
0.1b
(fma (- x z) (/ (+ z x) y) y)
0.2b
(/ (fma (- x z) (/ (+ z x) y) y) 2.0)

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
21×times-frac
20×add-sqr-sqrt add-cube-cbrt
7×add-cbrt-cube add-exp-log associate-/l*
6×associate-/r*
4×distribute-lft-out
3×expm1-log1p-u pow1 log1p-expm1-u add-log-exp
2×cbrt-undiv clear-num frac-2neg div-exp div-inv associate-/l/
1×flip3-+ flip-+ fma-udef
Counts
3 → 74
Calls
3 calls:
33.0ms
(/ (+ z x) y)
0.0ms
(fma (- x z) (/ (+ z x) y) y)
8.0ms
(/ (fma (- x z) (/ (+ z x) y) y) 2.0)

series252.0ms

Counts
3 → 9
Calls
3 calls:
24.0ms
(/ (+ z x) y)
89.0ms
(fma (- x z) (/ (+ z x) y) y)
139.0ms
(/ (fma (- x z) (/ (+ z x) y) y) 2.0)

simplify806.0ms

Counts
83 → 83
Iterations
IterNodes
done5000
2939
1263
0131

prune496.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.3b

localize30.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (/ x (/ y x)) y) (/ z (/ y z)))
0.2b
(/ x (/ y x))
0.2b
(/ (- (+ (/ x (/ y x)) y) (/ z (/ y z))) 2.0)
0.2b
(/ z (/ y z))

rewrite1.2s

Algorithm
rewrite-expression-head
Rules
453×times-frac
401×*-un-lft-identity
331×add-sqr-sqrt
286×add-cube-cbrt
176×prod-diff
50×distribute-lft-out
29×associate-/r*
27×div-inv
16×add-cbrt-cube add-exp-log
15×difference-of-squares
14×associate-/l*
10×distribute-lft-out--
9×add-log-exp
7×cbrt-undiv div-exp
6×associate-/r/
4×expm1-log1p-u pow1 fma-neg frac-sub log1p-expm1-u associate-/l/
3×clear-num frac-2neg
2×flip3-+ flip3-- diff-log flip-+ flip--
1×sum-log sub-neg div-sub associate--l+
Counts
4 → 401
Calls
4 calls:
397.0ms
(- (+ (/ x (/ y x)) y) (/ z (/ y z)))
15.0ms
(/ x (/ y x))
692.0ms
(/ (- (+ (/ x (/ y x)) y) (/ z (/ y z))) 2.0)
7.0ms
(/ z (/ y z))

series235.0ms

Counts
4 → 12
Calls
4 calls:
63.0ms
(- (+ (/ x (/ y x)) y) (/ z (/ y z)))
36.0ms
(/ x (/ y x))
96.0ms
(/ (- (+ (/ x (/ y x)) y) (/ z (/ y z))) 2.0)
38.0ms
(/ z (/ y z))

simplify1.6s

Counts
413 → 413
Iterations
IterNodes
done5001
11941
0708

prune2.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize24.0ms

Local error

Found 4 expressions with local error:

0.0b
(- (+ (/ (/ x y) (/ 1 x)) y) (/ z (/ y z)))
0.2b
(/ (- (+ (/ (/ x y) (/ 1 x)) y) (/ z (/ y z))) 2.0)
0.2b
(/ (/ x y) (/ 1 x))
0.2b
(/ z (/ y z))

rewrite3.4s

Algorithm
rewrite-expression-head
Rules
799×times-frac
555×*-un-lft-identity
485×add-sqr-sqrt
440×add-cube-cbrt
176×prod-diff
51×div-inv
50×distribute-lft-out
33×add-exp-log
29×associate-/r*
24×associate-/l*
23×add-cbrt-cube
20×div-exp
15×difference-of-squares
12×cbrt-undiv
10×distribute-lft-out--
9×add-log-exp
6×associate-/r/
5×associate-/l/
4×expm1-log1p-u pow1 fma-neg frac-sub log1p-expm1-u
3×clear-num frac-2neg
2×rec-exp flip3-+ flip3-- diff-log 1-exp flip-+ flip--
1×sum-log sub-neg div-sub associate--l+
Counts
4 → 550
Calls
4 calls:
1.2s
(- (+ (/ (/ x y) (/ 1 x)) y) (/ z (/ y z)))
2.2s
(/ (- (+ (/ (/ x y) (/ 1 x)) y) (/ z (/ y z))) 2.0)
32.0ms
(/ (/ x y) (/ 1 x))
10.0ms
(/ z (/ y z))

series253.0ms

Counts
4 → 12
Calls
4 calls:
85.0ms
(- (+ (/ (/ x y) (/ 1 x)) y) (/ z (/ y z)))
106.0ms
(/ (- (+ (/ (/ x y) (/ 1 x)) y) (/ z (/ y z))) 2.0)
23.0ms
(/ (/ x y) (/ 1 x))
39.0ms
(/ z (/ y z))

simplify2.2s

Counts
562 → 562
Iterations
IterNodes
done5001
12993
0969

prune3.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes206.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
013

end0.0ms

sample1.7s

Algorithm
intervals
Results
1.1s13676×body80valid