Details

Time bar (total: 9.7s)

sample24.0ms

Algorithm
intervals
Results
10.0ms339×body80valid

simplify719.0ms

Counts
1 → 1
Iterations
IterNodes
done5000
51323
4372
3113
244
122
08

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize19.0ms

Local error

Found 1 expressions with local error:

8.4b
(* (/ x z) (+ (- y z) 1.0))

rewrite110.0ms

Algorithm
rewrite-expression-head
Rules
14×add-sqr-sqrt *-un-lft-identity
13×associate-*l*
10×times-frac
9×add-cube-cbrt
6×add-cbrt-cube add-exp-log
5×associate-*r*
3×pow1
2×frac-times flip3-+ prod-exp associate-*r/ cbrt-unprod flip-+ distribute-lft-out unswap-sqr
1×distribute-rgt-in cbrt-undiv distribute-lft-in div-exp pow-prod-down associate-*l/ *-commutative div-inv distribute-lft-out-- add-log-exp
Counts
1 → 40
Calls
1 calls:
107.0ms
(* (/ x z) (+ (- y z) 1.0))

series68.0ms

Counts
1 → 3
Calls
1 calls:
68.0ms
(* (/ x z) (+ (- y z) 1.0))

simplify753.0ms

Counts
43 → 43
Iterations
IterNodes
done5000
21581
1346
094

prune210.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize25.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x 1.0) z) x)
0.0b
(+ (- (/ (* x 1.0) z) x) (/ y (/ z x)))
4.2b
(/ y (/ z x))

rewrite125.0ms

Algorithm
rewrite-expression-head
Rules
75×times-frac
52×*-un-lft-identity
47×add-sqr-sqrt
45×add-cube-cbrt
13×associate-/r*
10×add-log-exp
8×add-cbrt-cube add-exp-log
5×div-inv
3×pow1 cbrt-undiv div-exp associate-/l*
2×associate-+l+ sum-log sub-neg flip3-- diff-log frac-add flip-- distribute-lft-out distribute-lft-out--
1×+-commutative clear-num frac-2neg flip3-+ associate-/r/ associate-+l- flip-+ difference-of-squares
Counts
3 → 103
Calls
3 calls:
19.0ms
(- (/ (* x 1.0) z) x)
89.0ms
(+ (- (/ (* x 1.0) z) x) (/ y (/ z x)))
14.0ms
(/ y (/ z x))

series126.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(- (/ (* x 1.0) z) x)
50.0ms
(+ (- (/ (* x 1.0) z) x) (/ y (/ z x)))
22.0ms
(/ y (/ z x))

simplify1.2s

Counts
112 → 112
Iterations
IterNodes
done5001
22263
1540
0211

prune571.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (* x 1.0) z) x)
0.0b
(+ (- (/ (* x 1.0) z) x) (* (/ 1 z) (* x y)))
6.3b
(* (/ 1 z) (* x y))

rewrite137.0ms

Algorithm
rewrite-expression-head
Rules
25×add-exp-log
15×add-cbrt-cube
13×associate-*l*
12×add-sqr-sqrt *-un-lft-identity prod-exp
10×add-cube-cbrt add-log-exp
9×times-frac
8×pow1
6×cbrt-unprod
4×div-exp
3×pow-prod-down associate-*l/
2×cbrt-undiv rec-exp associate-+l+ sum-log sub-neg flip3-- diff-log 1-exp frac-add flip--
1×+-commutative flip3-+ associate-*r* *-commutative associate-+l- flip-+ div-inv distribute-lft-out-- difference-of-squares
Counts
3 → 68
Calls
3 calls:
15.0ms
(- (/ (* x 1.0) z) x)
85.0ms
(+ (- (/ (* x 1.0) z) x) (* (/ 1 z) (* x y)))
32.0ms
(* (/ 1 z) (* x y))

series163.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(- (/ (* x 1.0) z) x)
73.0ms
(+ (- (/ (* x 1.0) z) x) (* (/ 1 z) (* x y)))
43.0ms
(* (/ 1 z) (* x y))

simplify2.2s

Counts
77 → 77
Iterations
IterNodes
done5001
22245
1384
0140

prune375.0ms

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

localize10.0ms

Local error

Found 2 expressions with local error:

0.0b
(/ (+ (- y z) 1.0) z)
4.2b
(* x (/ (+ (- y z) 1.0) z))

rewrite142.0ms

Algorithm
rewrite-expression-head
Rules
57×*-un-lft-identity
31×times-frac
27×add-sqr-sqrt
22×add-cube-cbrt
19×associate-*r*
14×distribute-lft-out
9×add-cbrt-cube add-exp-log
7×distribute-lft-out--
5×associate-/l*
4×pow1
3×associate-/r* associate-*l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv add-log-exp unswap-sqr associate-/l/
1×clear-num frac-2neg flip3-+ div-sub pow-prod-down associate-*r/ *-commutative associate-+l- flip-+
Counts
2 → 76
Calls
2 calls:
70.0ms
(/ (+ (- y z) 1.0) z)
70.0ms
(* x (/ (+ (- y z) 1.0) z))

series104.0ms

Counts
2 → 6
Calls
2 calls:
46.0ms
(/ (+ (- y z) 1.0) z)
58.0ms
(* x (/ (+ (- y z) 1.0) z))

simplify802.0ms

Counts
82 → 82
Iterations
IterNodes
done5000
21284
1285
0107

prune328.0ms

Pruning

5 alts after pruning (1 fresh and 4 done)

Merged error: 0b

regimes171.0ms

Accuracy

91% (0.2b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 1.9b

bsearch88.0ms

Steps
ItersRangePoint
9
6.319853337094115e-66
9.703019816729497e-60
9.371800790310022e-61
5
-1.875294936264292e+40
-8.077195036329744e+39
-1.3905844898214332e+40

simplify14.0ms

Iterations
IterNodes
done31
131
021

end0.0ms

sample1.2s

Algorithm
intervals
Results
595.0ms10173×body80valid