Details

Time bar (total: 17.0s)

sample40.0ms

Algorithm
intervals
Results
27.0ms322×body80valid

simplify106.0ms

Counts
1 → 1

prune11.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.2b

localize33.0ms

Local error

Found 3 expressions with local error:

3.4b
(* (/ x y) z)
0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))

rewrite65.0ms

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
pow1 add-log-exp
distribute-lft-out associate-/l*
associate-/r* associate-*r* associate-*l/ insert-posit16
cbrt-undiv div-exp prod-exp cbrt-unprod div-inv unswap-sqr associate-/l/
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:
Slowest
37.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
17.0ms
(/ (+ x 4) y)
10.0ms
(* (/ x y) z)

series122.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
58.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
34.0ms
(/ (+ x 4) y)
29.0ms
(* (/ x y) z)

simplify1.2s

Counts
91 → 91

prune1.3s

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize57.0ms

Local error

Found 4 expressions with local error:

3.0b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))
1.5b
(* (/ x (cbrt y)) z)
0.6b
(cbrt y)
0.6b
(cbrt y)

rewrite86.0ms

Algorithm
rewrite-expression-head
Rules
87×add-exp-log
46×prod-exp
35×add-cbrt-cube
30×add-sqr-sqrt
29×associate-*l*
23×times-frac
22×*-un-lft-identity add-cube-cbrt
20×div-exp cbrt-unprod
16×cbrt-prod
11×pow1
10×cbrt-undiv
rec-exp 1-exp
associate-*r* pow-prod-down associate-*l/ insert-posit16 add-log-exp
unswap-sqr
pow1/3 *-commutative div-inv
frac-times associate-*r/
Counts
4 → 119
Calls
4 calls:
Slowest
70.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))
13.0ms
(* (/ x (cbrt y)) z)
1.0ms
(cbrt y)
1.0ms
(cbrt y)

series751.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
294.0ms
(cbrt y)
256.0ms
(cbrt y)
138.0ms
(* (/ x (cbrt y)) z)
62.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify4.8s

Counts
131 → 131

prune1.7s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 2 expressions with local error:

3.4b
(* z (/ x y))
0.0b
(- (/ 4 y) (- (* z (/ x y)) (/ x y)))

rewrite42.0ms

Algorithm
rewrite-expression-head
Rules
20×add-sqr-sqrt
13×associate-*r*
12×*-un-lft-identity
11×times-frac
10×add-cube-cbrt
add-cbrt-cube add-exp-log add-log-exp
frac-sub
pow1 associate-*r/
diff-log associate-*l* sub-div
sub-neg flip3-- prod-exp cbrt-unprod insert-posit16 flip-- associate--r+ difference-of-squares unswap-sqr
cbrt-undiv div-exp pow-prod-down *-commutative div-inv distribute-lft-out-- associate--r-
Counts
2 → 58
Calls
2 calls:
Slowest
29.0ms
(- (/ 4 y) (- (* z (/ x y)) (/ x y)))
13.0ms
(* z (/ x y))

series68.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
47.0ms
(- (/ 4 y) (- (* z (/ x y)) (/ x y)))
21.0ms
(* z (/ x y))

simplify1.3s

Counts
64 → 64

prune565.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize42.0ms

Local error

Found 4 expressions with local error:

2.0b
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (/ x y)))
1.6b
(* (cbrt z) (/ x y))
0.6b
(cbrt z)
0.6b
(cbrt z)

rewrite66.0ms

Algorithm
rewrite-expression-head
Rules
30×add-exp-log
25×add-sqr-sqrt
18×pow1 add-cbrt-cube
15×*-un-lft-identity prod-exp add-cube-cbrt cbrt-unprod
14×associate-*r*
11×cbrt-prod times-frac
pow-prod-down
associate-*l*
insert-posit16 add-log-exp unswap-sqr
cbrt-undiv div-exp associate-*r/
pow1/3 *-commutative
div-inv
Counts
4 → 90
Calls
4 calls:
Slowest
46.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (/ x y)))
16.0ms
(* (cbrt z) (/ x y))
1.0ms
(cbrt z)
1.0ms
(cbrt z)

series756.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
293.0ms
(cbrt z)
270.0ms
(cbrt z)
132.0ms
(* (cbrt z) (/ x y))
61.0ms
(* (* (cbrt z) (cbrt z)) (* (cbrt z) (/ x y)))

simplify1.3s

Counts
102 → 102

prune934.0ms

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

regimes133.0ms

Accuracy

47.5% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 2.3b

bsearch71.0ms

end0.0ms

sample1.4s

Algorithm
intervals
Results
1.1s10235×body80valid