Details

Time bar (total: 9.9s)

sample25.0ms

Algorithm
intervals
Results
12.0ms311×body80valid

simplify38.0ms

Counts
1 → 1
Iterations
IterNodes
done54
654
551
445
338
229
116
010

prune27.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
2.5b
(* (/ x y) z)

rewrite106.0ms

Algorithm
rewrite-expression-head
Rules
28×*-un-lft-identity
25×add-sqr-sqrt
22×times-frac
20×add-cube-cbrt
13×associate-*l*
10×add-cbrt-cube add-exp-log
5×pow1 add-log-exp
4×distribute-lft-out associate-/l*
3×associate-/r* associate-*r* associate-*l/
2×cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- diff-log pow-prod-down *-commutative frac-sub flip-+ flip-- sub-div
Counts
3 → 79
Calls
3 calls:
24.0ms
(/ (+ x 4.0) y)
64.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
14.0ms
(* (/ x y) z)

series137.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (+ x 4.0) y)
59.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
27.0ms
(* (/ x y) z)

simplify921.0ms

Counts
88 → 88
Iterations
IterNodes
done5000
21650
1351
0142

prune523.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (/ 4.0 y))
0.0b
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
2.5b
(* (/ x y) z)

rewrite325.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
18×add-sqr-sqrt
16×times-frac
13×associate-*l* add-cube-cbrt
10×add-log-exp
8×add-cbrt-cube add-exp-log
5×pow1
4×associate-*l/ distribute-lft-out
3×associate-*r* frac-sub div-inv
2×sum-log flip3-+ diff-log frac-add prod-exp cbrt-unprod flip-+ unswap-sqr
1×cbrt-undiv +-commutative sub-neg distribute-rgt-out flip3-- div-exp pow-prod-down associate--l+ *-commutative flip--
Counts
3 → 66
Calls
3 calls:
18.0ms
(+ (/ x y) (/ 4.0 y))
292.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
12.0ms
(* (/ x y) z)

series140.0ms

Counts
3 → 9
Calls
3 calls:
41.0ms
(+ (/ x y) (/ 4.0 y))
61.0ms
(- (+ (/ x y) (/ 4.0 y)) (* (/ x y) z))
38.0ms
(* (/ x y) z)

simplify1.2s

Counts
75 → 75
Iterations
IterNodes
done5000
21709
1344
0132

prune507.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0b

localize24.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4.0) y) (/ (* z x) y))
0.0b
(/ (+ x 4.0) y)
4.3b
(/ (* z x) y)

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
24×*-un-lft-identity
19×add-sqr-sqrt
16×times-frac
14×add-cube-cbrt
10×add-cbrt-cube add-exp-log
6×associate-/r*
5×associate-/l* add-log-exp
4×div-inv distribute-lft-out
3×pow1 cbrt-undiv div-exp
2×clear-num frac-2neg difference-of-squares associate-/l/
1×sub-neg flip3-+ flip3-- distribute-rgt-out-- diff-log prod-exp frac-sub cbrt-unprod flip-+ flip-- distribute-lft-out-- sub-div
Counts
3 → 72
Calls
3 calls:
56.0ms
(- (/ (+ x 4.0) y) (/ (* z x) y))
17.0ms
(/ (+ x 4.0) y)
8.0ms
(/ (* z x) y)

series135.0ms

Counts
3 → 9
Calls
3 calls:
82.0ms
(- (/ (+ x 4.0) y) (/ (* z x) y))
32.0ms
(/ (+ x 4.0) y)
21.0ms
(/ (* z x) y)

simplify810.0ms

Counts
81 → 81
Iterations
IterNodes
done5000
21440
1321
0127

prune468.0ms

Pruning

4 alts after pruning (3 fresh and 1 done)

Merged error: 0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (* z x) (/ 1 y)))
4.4b
(* (* z x) (/ 1 y))

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
27×*-un-lft-identity add-exp-log
21×times-frac
19×add-sqr-sqrt add-cube-cbrt
17×add-cbrt-cube
13×associate-*r*
12×prod-exp
8×pow1
6×cbrt-unprod
5×div-exp add-log-exp
4×distribute-lft-out associate-/l*
3×cbrt-undiv associate-/r* pow-prod-down associate-*r/ un-div-inv div-inv
2×rec-exp 1-exp frac-sub sub-div associate-/l/
1×clear-num sub-neg frac-2neg flip3-+ flip3-- distribute-rgt-out-- diff-log associate-*l* *-commutative flip-+ flip--
Counts
3 → 88
Calls
3 calls:
27.0ms
(/ (+ x 4.0) y)
55.0ms
(- (/ (+ x 4.0) y) (* (* z x) (/ 1 y)))
24.0ms
(* (* z x) (/ 1 y))

series145.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (+ x 4.0) y)
59.0ms
(- (/ (+ x 4.0) y) (* (* z x) (/ 1 y)))
37.0ms
(* (* z x) (/ 1 y))

simplify2.4s

Counts
97 → 97
Iterations
IterNodes
done5000
22650
1444
0159

prune450.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

regimes216.0ms

Accuracy

48% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 3.4b

bsearch54.0ms

Steps
ItersRangePoint
8
3.725521547728394e-54
4.403682652387185e-51
2.331683792302665e-52

simplify3.0ms

Iterations
IterNodes
done29
229
128
022

end0.0ms

sample1.0s

Algorithm
intervals
Results
718.0ms10109×body80valid