Details

Time bar (total: 12.6s)

sample33.0ms

Algorithm
intervals
Results
16.0ms331×body80valid

simplify64.0ms

Counts
1 → 1
Iterations
IterNodes
done54
754
651
548
442
335
229
116
010

prune3.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4) y)
0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
4.2b
(* (/ x y) z)

rewrite79.0ms

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:
29.0ms
(/ (+ x 4) y)
33.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
16.0ms
(* (/ x y) z)

series132.0ms

Counts
3 → 9
Calls
3 calls:
47.0ms
(/ (+ x 4) y)
60.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
24.0ms
(* (/ x y) z)

simplify1.6s

Counts
91 → 91
Iterations
IterNodes
done5000
21151
1356
0145

prune423.0ms

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0.0b

localize34.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
2.2b
(* (/ x (cbrt y)) z)
2.9b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

rewrite77.0ms

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:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
12.0ms
(* (/ x (cbrt y)) z)
61.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

series814.0ms

Counts
4 → 12
Calls
4 calls:
340.0ms
(cbrt y)
255.0ms
(cbrt y)
156.0ms
(* (/ x (cbrt y)) z)
63.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify1.4s

Counts
131 → 131
Iterations
IterNodes
done5020
21700
1459
0173

prune697.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize49.0ms

Local error

Found 4 expressions with local error:

2.9b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (* (cbrt (* (/ x (cbrt y)) z)) (cbrt (* (/ x (cbrt y)) z))) (cbrt (* (/ x (cbrt y)) z))))
11.3b
(cbrt (* (/ x (cbrt y)) z))
11.3b
(cbrt (* (/ x (cbrt y)) z))
11.3b
(cbrt (* (/ x (cbrt y)) z))

rewrite164.0ms

Algorithm
rewrite-expression-head
Rules
82×add-exp-log
51×prod-exp
38×associate-*l/
27×cbrt-div
22×add-cbrt-cube
21×cbrt-unprod
17×frac-times
13×pow1 associate-*r/
12×div-exp
associate-*l*
add-sqr-sqrt cbrt-undiv rec-exp *-un-lft-identity 1-exp pow-prod-down add-cube-cbrt
insert-posit16 add-log-exp
cbrt-prod times-frac pow1/3
associate-*r* *-commutative div-inv
Counts
4 → 98
Calls
4 calls:
146.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (* (cbrt (* (/ x (cbrt y)) z)) (cbrt (* (/ x (cbrt y)) z))) (cbrt (* (/ x (cbrt y)) z))))
5.0ms
(cbrt (* (/ x (cbrt y)) z))
5.0ms
(cbrt (* (/ x (cbrt y)) z))
6.0ms
(cbrt (* (/ x (cbrt y)) z))

series674.0ms

Counts
4 → 12
Calls
4 calls:
55.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (* (cbrt (* (/ x (cbrt y)) z)) (cbrt (* (/ x (cbrt y)) z))) (cbrt (* (/ x (cbrt y)) z))))
188.0ms
(cbrt (* (/ x (cbrt y)) z))
195.0ms
(cbrt (* (/ x (cbrt y)) z))
236.0ms
(cbrt (* (/ x (cbrt y)) z))

simplify1.9s

Counts
110 → 110
Iterations
IterNodes
done5000
21338
1467
0173

prune502.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0.0b

localize38.0ms

Local error

Found 4 expressions with local error:

4.2b
(* (/ x y) z)
13.0b
(cbrt (* (/ x y) z))
13.0b
(cbrt (* (/ x y) z))
13.0b
(cbrt (* (/ x y) z))

rewrite36.0ms

Algorithm
rewrite-expression-head
Rules
17×add-sqr-sqrt
13×associate-*l*
12×*-un-lft-identity add-cube-cbrt
10×times-frac
add-cbrt-cube add-exp-log
pow1
associate-*l/ insert-posit16 add-log-exp
cbrt-prod cbrt-div pow1/3 associate-*r*
prod-exp cbrt-unprod unswap-sqr
cbrt-undiv div-exp pow-prod-down *-commutative div-inv
Counts
4 → 66
Calls
4 calls:
14.0ms
(* (/ x y) z)
6.0ms
(cbrt (* (/ x y) z))
7.0ms
(cbrt (* (/ x y) z))
7.0ms
(cbrt (* (/ x y) z))

series349.0ms

Counts
4 → 12
Calls
4 calls:
37.0ms
(* (/ x y) z)
107.0ms
(cbrt (* (/ x y) z))
101.0ms
(cbrt (* (/ x y) z))
102.0ms
(cbrt (* (/ x y) z))

simplify1.8s

Counts
78 → 78
Iterations
IterNodes
done5001
32340
2690
1224
0103

prune423.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0.0b

regimes174.0ms

Accuracy

0% (2.2b remaining)

Error of 2.2b against oracle of 0.0b and baseline of 2.2b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done20
120
015

end0.0ms

sample1.2s

Algorithm
intervals
Results
943.0ms10154×body80valid