Details

Time bar (total: 13.0s)

sample55.0ms

Algorithm
intervals
Results
23.0ms318×body80valid

simplify55.0ms

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

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 1.8b

localize22.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
3.3b
(* (/ x y) z)

rewrite112.0ms

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/
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 → 79
Calls
3 calls:
20.0ms
(/ (+ x 4.0) y)
63.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
24.0ms
(* (/ x y) z)

series140.0ms

Counts
3 → 9
Calls
3 calls:
40.0ms
(/ (+ x 4.0) y)
69.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
31.0ms
(* (/ x y) z)

simplify1.3s

Counts
88 → 88
Iterations
IterNodes
done5000
21650
1351
0142

prune568.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize85.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite3.0ms

Algorithm
rewrite-expression-head
Rules
12×cbrt-prod
add-sqr-sqrt *-un-lft-identity add-cube-cbrt
pow1 add-cbrt-cube pow1/3 add-exp-log add-log-exp
Counts
4 → 44
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
317.0ms
(cbrt y)
251.0ms
(cbrt x)
277.0ms
(cbrt x)
248.0ms
(cbrt x)

simplify881.0ms

Counts
56 → 56
Iterations
IterNodes
done5000
41842
3637
2206
175
042

prune465.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt y)
0.6b
(cbrt y)
1.4b
(* (/ x (cbrt y)) z)
3.7b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

rewrite126.0ms

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/ add-log-exp
unswap-sqr
pow1/3 *-commutative div-inv
frac-times associate-*r/
Counts
4 → 115
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
17.0ms
(* (/ x (cbrt y)) z)
103.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

series844.0ms

Counts
4 → 12
Calls
4 calls:
299.0ms
(cbrt y)
324.0ms
(cbrt y)
158.0ms
(* (/ x (cbrt y)) z)
63.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify2.1s

Counts
127 → 127
Iterations
IterNodes
done5000
23158
1508
0170

prune771.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize35.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ x y) (/ z (/ y x)))
0.0b
(+ (/ 4.0 y) (- (/ x y) (/ z (/ y x))))
3.8b
(/ z (/ y x))

rewrite213.0ms

Algorithm
rewrite-expression-head
Rules
89×times-frac
66×add-sqr-sqrt
62×*-un-lft-identity
45×add-cube-cbrt
13×associate-/r*
10×add-log-exp
add-cbrt-cube add-exp-log
difference-of-squares
div-inv
distribute-lft-out--
pow1 cbrt-undiv div-exp frac-add distribute-lft-out associate-/l*
associate-+r+ sum-log sub-neg flip3-- diff-log frac-sub flip--
+-commutative clear-num associate-+r- frac-2neg flip3-+ associate-/r/ flip-+
Counts
3 → 112
Calls
3 calls:
47.0ms
(- (/ x y) (/ z (/ y x)))
149.0ms
(+ (/ 4.0 y) (- (/ x y) (/ z (/ y x))))
8.0ms
(/ z (/ y x))

series142.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(- (/ x y) (/ z (/ y x)))
59.0ms
(+ (/ 4.0 y) (- (/ x y) (/ z (/ y x))))
33.0ms
(/ z (/ y x))

simplify1.5s

Counts
121 → 121
Iterations
IterNodes
done5002
22505
1610
0229

prune688.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

regimes416.0ms

Accuracy

0% (0.7b remaining)

Error of 0.7b against oracle of 0.0b and baseline of 0.7b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done19
119
016

end0.0ms

sample1.4s

Algorithm
intervals
Results
964.0ms10022×body80valid