Details

Time bar (total: 16.2s)

sample60.0ms

Algorithm
intervals
Results
43.0ms336×body80valid

simplify63.0ms

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

localize28.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
0.0b
(/ (+ x 4) y)
3.8b
(* (/ x y) z)

rewrite102.0ms

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:
60.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
24.0ms
(/ (+ x 4) y)
16.0ms
(* (/ x y) z)

series111.0ms

Counts
3 → 9
Calls
3 calls:
56.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
31.0ms
(/ (+ x 4) y)
23.0ms
(* (/ x y) z)

simplify2.0s

Counts
91 → 91
Iterations
IterNodes
33503
21054
1354
0145

prune849.0ms

Pruning

10 alts after pruning (10 fresh and 0 done)

Merged error: 0b

localize17.0ms

Local error

Found 3 expressions with local error:

0.0b
(+ (/ 4 y) (- (/ x y) (* z (/ x y))))
0.0b
(- (/ x y) (* z (/ x y)))
3.8b
(* z (/ x y))

rewrite92.0ms

Algorithm
rewrite-expression-head
Rules
16×add-sqr-sqrt *-un-lft-identity
13×associate-*r*
11×times-frac add-cube-cbrt
10×add-log-exp
8×add-cbrt-cube add-exp-log
5×pow1 associate-*r/
4×frac-add
3×associate-*l* insert-posit16
2×associate-+r+ sum-log sub-neg flip3-- distribute-rgt-out-- diff-log prod-exp frac-sub cbrt-unprod flip-- sub-div unswap-sqr
1×cbrt-undiv +-commutative associate-+r- flip3-+ div-exp pow-prod-down *-commutative flip-+ div-inv distribute-lft-out
Counts
3 → 71
Calls
3 calls:
59.0ms
(+ (/ 4 y) (- (/ x y) (* z (/ x y))))
22.0ms
(- (/ x y) (* z (/ x y)))
9.0ms
(* z (/ x y))

series157.0ms

Counts
3 → 9
Calls
3 calls:
52.0ms
(+ (/ 4 y) (- (/ x y) (* z (/ x y))))
70.0ms
(- (/ x y) (* z (/ x y)))
35.0ms
(* z (/ x y))

simplify2.5s

Counts
80 → 80
Iterations
IterNodes
35824
21358
1381
0142

prune646.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize60.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
0.6b
(cbrt y)
1.5b
(* z (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
22×add-exp-log
14×add-cbrt-cube
9×cbrt-prod add-sqr-sqrt pow1 prod-exp cbrt-unprod
8×*-un-lft-identity add-cube-cbrt
4×cbrt-undiv div-exp associate-*r/ insert-posit16 add-log-exp
3×pow1/3 associate-*l* pow-prod-down
1×frac-times associate-*r* associate-*l/ *-commutative unswap-sqr
Counts
4 → 65
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
1.0ms
(cbrt y)
25.0ms
(* z (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))))

series1.0s

Counts
4 → 12
Calls
4 calls:
349.0ms
(cbrt y)
281.0ms
(cbrt y)
298.0ms
(cbrt y)
110.0ms
(* z (* (/ (cbrt x) (cbrt y)) (/ (cbrt x) (cbrt y))))

simplify986.0ms

Counts
77 → 77
Iterations
IterNodes
32960
2725
1251
0108

prune994.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.6b
(* (/ (cbrt x) y) z)
4.2b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
33×prod-exp
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×*-un-lft-identity add-cube-cbrt
20×cbrt-unprod
18×div-exp
16×cbrt-prod
11×pow1
10×cbrt-undiv
6×1-exp
4×associate-*r* pow-prod-down associate-*l/ insert-posit16 add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 113
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
19.0ms
(* (/ (cbrt x) y) z)
47.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

series799.0ms

Counts
4 → 12
Calls
4 calls:
273.0ms
(cbrt x)
292.0ms
(cbrt x)
168.0ms
(* (/ (cbrt x) y) z)
65.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify2.6s

Counts
125 → 125
Iterations
IterNodes
34818
21276
1449
0169

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes223.0ms

Accuracy

89.9% (0.2b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.5b

bsearch156.0ms

Steps
ItersRangePoint
9
2.309005728999187e+66
4.398179486769042e+71
1.0213139804930134e+68
9
-2.437427836186448e+49
-8.74827305671129e+42
-6.885444965291613e+46

simplify8.0ms

Iterations
IterNodes
229
129
022

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s10107×body80valid