Details

Time bar (total: 15.0s)

sample33.0ms

Algorithm
intervals
Results
22.0ms324×body80valid

simplify53.0ms

Counts
1 → 1
Iterations
IterNodes
854
754
651
548
442
335
229
116
010

prune6.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.9b

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
2.8b
(* (/ x y) z)

rewrite58.0ms

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/ insert-posit16
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 → 82
Calls
3 calls:
13.0ms
(/ (+ x 4) y)
34.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
10.0ms
(* (/ x y) z)

series159.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (+ x 4) y)
82.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
29.0ms
(* (/ x y) z)

simplify2.5s

Counts
91 → 91
Iterations
IterNodes
33445
21054
1354
0145

prune975.0ms

Pruning

3 alts after pruning (3 fresh and 0 done)

Merged error: 0.0b

localize37.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (/ 4 y))
0.0b
(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
2.8b
(* (/ x y) z)

rewrite133.0ms

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 insert-posit16 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 → 69
Calls
3 calls:
10.0ms
(+ (/ x y) (/ 4 y))
102.0ms
(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
20.0ms
(* (/ x y) z)

series125.0ms

Counts
3 → 9
Calls
3 calls:
37.0ms
(+ (/ x y) (/ 4 y))
64.0ms
(- (+ (/ x y) (/ 4 y)) (* (/ x y) z))
24.0ms
(* (/ x y) z)

simplify4.3s

Counts
78 → 78
Iterations
IterNodes
37692
21392
1346
0135

prune834.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ x y) (/ 4 y))
0.0b
(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
6.1b
(* x (/ z y))

rewrite97.0ms

Algorithm
rewrite-expression-head
Rules
21×*-un-lft-identity
18×add-sqr-sqrt
16×times-frac
13×associate-*r* add-cube-cbrt
10×add-log-exp
8×add-cbrt-cube add-exp-log
5×pow1
4×associate-*r/ distribute-lft-out
3×associate-*l* frac-sub insert-posit16 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 → 69
Calls
3 calls:
10.0ms
(+ (/ x y) (/ 4 y))
76.0ms
(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
9.0ms
(* x (/ z y))

series101.0ms

Counts
3 → 9
Calls
3 calls:
32.0ms
(+ (/ x y) (/ 4 y))
45.0ms
(- (+ (/ x y) (/ 4 y)) (* x (/ z y)))
23.0ms
(* x (/ z y))

simplify2.0s

Counts
78 → 78
Iterations
IterNodes
35543
21302
1365
0142

prune686.0ms

Pruning

4 alts after pruning (2 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 2 expressions with local error:

0.0b
(- (+ x 4) (* x z))
2.9b
(/ (- (+ x 4) (* x z)) y)

rewrite102.0ms

Algorithm
rewrite-expression-head
Rules
10×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
9×times-frac
7×add-log-exp
4×add-cbrt-cube add-exp-log
3×associate-/r* associate-/l*
2×pow1 flip3-- diff-log insert-posit16 flip-- associate-/l/
1×cbrt-undiv clear-num sum-log sub-neg frac-2neg div-sub div-exp associate--l+ div-inv
Counts
2 → 46
Calls
2 calls:
32.0ms
(- (+ x 4) (* x z))
69.0ms
(/ (- (+ x 4) (* x z)) y)

series82.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(- (+ x 4) (* x z))
56.0ms
(/ (- (+ x 4) (* x z)) y)

simplify797.0ms

Counts
52 → 52
Iterations
IterNodes
32583
2676
1212
085

prune419.0ms

Pruning

4 alts after pruning (1 fresh and 3 done)

Merged error: 0b

regimes125.0ms

Accuracy

-4.9% (1.8b remaining)

Error of 1.8b against oracle of 0.0b and baseline of 1.7b

bsearch82.0ms

Steps
ItersRangePoint
10
-1.1399582415865866e+37
-3.0218371281748637e+22
-3.644056109949103e+33

simplify3.0ms

Iterations
IterNodes
223
123
019

end0.0ms

sample1.3s

Algorithm
intervals
Results
1.1s10170×body80valid