Details

Time bar (total: 12.4s)

sample54.0ms

Algorithm
intervals
Results
23.0ms318×body80valid

simplify61.0ms

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

prune37.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.1b

localize32.0ms

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)

rewrite145.0ms

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/
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 → 79
Calls
3 calls:
29.0ms
(/ (+ x 4.0) y)
87.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
24.0ms
(* (/ x y) z)

series134.0ms

Counts
3 → 9
Calls
3 calls:
31.0ms
(/ (+ x 4.0) y)
61.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
42.0ms
(* (/ x y) z)

simplify886.0ms

Counts
88 → 88
Iterations
IterNodes
done5000
21650
1351
0142

prune527.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize47.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.3b
(/ (* z (cbrt x)) y)
3.3b
(* (/ (* (cbrt x) (cbrt x)) 1) (/ (* z (cbrt x)) y))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
66×add-exp-log
35×add-cbrt-cube
27×prod-exp
24×div-exp
17×add-sqr-sqrt
16×cbrt-unprod
14×cbrt-undiv
13×*-un-lft-identity
12×add-cube-cbrt
11×times-frac
7×associate-*r* associate-*l*
6×cbrt-prod pow1 1-exp
4×add-log-exp
3×associate-/r* div-inv unswap-sqr
2×pow1/3
1×frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ *-commutative associate-/l*
Counts
4 → 96
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
9.0ms
(/ (* z (cbrt x)) y)
36.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (/ (* z (cbrt x)) y))

series812.0ms

Counts
4 → 12
Calls
4 calls:
327.0ms
(cbrt x)
279.0ms
(cbrt x)
126.0ms
(/ (* z (cbrt x)) y)
80.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (/ (* z (cbrt x)) y))

simplify3.0s

Counts
108 → 108
Iterations
IterNodes
done5001
24421
1497
0151

prune815.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize66.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)
3.3b
(* (/ (* (cbrt x) (cbrt x)) 1) (/ (* (/ (cbrt x) (cbrt y)) (/ z (cbrt y))) (cbrt y)))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
153×add-exp-log
69×div-exp
62×prod-exp
52×add-cbrt-cube
39×cbrt-undiv
36×cbrt-unprod
17×add-sqr-sqrt
13×*-un-lft-identity
12×cbrt-prod 1-exp add-cube-cbrt
11×times-frac
10×associate-*r*
7×associate-*l*
6×pow1
4×add-log-exp
3×pow1/3 unswap-sqr
2×div-inv
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
4 → 113
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)
77.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (/ (* (/ (cbrt x) (cbrt y)) (/ z (cbrt y))) (cbrt y)))

series888.0ms

Counts
4 → 12
Calls
4 calls:
299.0ms
(cbrt x)
254.0ms
(cbrt x)
306.0ms
(cbrt x)
30.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (/ (* (/ (cbrt x) (cbrt y)) (/ z (cbrt y))) (cbrt y)))

simplify443.0ms

Counts
125 → 125
Iterations
IterNodes
done5000
1692
0191

prune758.0ms

Pruning

8 alts after pruning (5 fresh and 3 done)

Merged error: 0b

localize81.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.7b
(pow (cbrt x) 3)
1.3b
(/ (* z (cbrt x)) y)
3.3b
(* (/ (* (cbrt x) (cbrt (pow (cbrt x) 3))) 1) (/ (* z (cbrt x)) y))

rewrite84.0ms

Algorithm
rewrite-expression-head
Rules
67×add-exp-log
35×add-cbrt-cube
27×prod-exp
24×div-exp
18×add-sqr-sqrt
16×*-un-lft-identity add-cube-cbrt cbrt-unprod
14×cbrt-undiv
9×cbrt-prod times-frac
7×pow1 associate-*r* associate-*l*
6×unpow-prod-down 1-exp cube-prod
4×add-log-exp
3×pow-unpow associate-/r* div-inv
2×pow-pow pow1/3
1×cube-mult frac-times pow-to-exp clear-num frac-2neg unpow3 pow-prod-down associate-*l/ pow-exp associate-*r/ *-commutative associate-/l* rem-cube-cbrt unswap-sqr sqr-pow
Counts
4 → 113
Calls
4 calls:
1.0ms
(cbrt x)
3.0ms
(pow (cbrt x) 3)
8.0ms
(/ (* z (cbrt x)) y)
65.0ms
(* (/ (* (cbrt x) (cbrt (pow (cbrt x) 3))) 1) (/ (* z (cbrt x)) y))

series708.0ms

Counts
4 → 12
Calls
4 calls:
200.0ms
(cbrt x)
299.0ms
(pow (cbrt x) 3)
137.0ms
(/ (* z (cbrt x)) y)
71.0ms
(* (/ (* (cbrt x) (cbrt (pow (cbrt x) 3))) 1) (/ (* z (cbrt x)) y))

simplify318.0ms

Counts
125 → 125
Iterations
IterNodes
done5000
1611
0179

prune580.0ms

Pruning

8 alts after pruning (4 fresh and 4 done)

Merged error: 0b

regimes463.0ms

Accuracy

81.1% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 1.6b

bsearch3.0ms

simplify4.0ms

Iterations
IterNodes
done26
126
020

end0.0ms

sample1.3s

Algorithm
intervals
Results
915.0ms10022×body80valid