Details

Time bar (total: 16.5s)

sample26.0ms

Algorithm
intervals
Results
12.0ms332×body80valid

simplify52.0ms

Counts
1 → 1
Iterations
IterNodes
done58
758
655
552
446
339
229
116
010

prune12.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 2.1b

localize15.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ x 4.0) y)
0.0b
(- (/ (+ x 4.0) y) (* (/ x y) z))
4.2b
(* (/ x y) z)

rewrite112.0ms

Algorithm
rewrite-expression-head
Rules
56×*-un-lft-identity
46×times-frac
41×add-sqr-sqrt
36×add-cube-cbrt
16×fma-neg prod-diff
13×associate-*l*
10×add-cbrt-cube add-exp-log distribute-lft-out
5×pow1 add-log-exp
4×div-inv associate-/l*
3×expm1-log1p-u associate-/r* associate-*r* associate-*l/ log1p-expm1-u
2×cbrt-undiv div-exp prod-exp cbrt-unprod 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 → 117
Calls
3 calls:
22.0ms
(/ (+ x 4.0) y)
63.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
19.0ms
(* (/ x y) z)

series162.0ms

Counts
3 → 9
Calls
3 calls:
50.0ms
(/ (+ x 4.0) y)
69.0ms
(- (/ (+ x 4.0) y) (* (/ x y) z))
42.0ms
(* (/ x y) z)

simplify1.6s

Counts
126 → 126
Iterations
IterNodes
done5000
21426
1411
0165

prune747.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize59.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.2b
(* (/ (cbrt x) y) z)
2.8b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

rewrite90.0ms

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×expm1-log1p-u associate-*r* pow-prod-down associate-*l/ log1p-expm1-u add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 117
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
20.0ms
(* (/ (cbrt x) y) z)
65.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

series870.0ms

Counts
4 → 12
Calls
4 calls:
304.0ms
(cbrt x)
329.0ms
(cbrt x)
174.0ms
(* (/ (cbrt x) y) z)
61.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt x) y) z))

simplify1.6s

Counts
129 → 129
Iterations
IterNodes
done5000
21340
1459
0172

prune935.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0b

localize82.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (* (cbrt x) (cbrt x)))
0.6b
(cbrt (cbrt x))
2.8b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (* (/ (cbrt (cbrt x)) (cbrt y)) z)))

rewrite267.0ms

Algorithm
rewrite-expression-head
Rules
279×add-exp-log
160×prod-exp
101×add-cbrt-cube
94×cbrt-unprod
85×div-exp
47×cbrt-undiv
20×1-exp
13×cbrt-prod pow1
9×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
7×associate-*l* associate-*l/
6×pow-prod-down
5×frac-times associate-*r/
4×expm1-log1p-u log1p-expm1-u add-log-exp
3×times-frac pow1/3
1×associate-*r* *-commutative div-inv
Counts
4 → 148
Calls
4 calls:
1.0ms
(cbrt x)
8.0ms
(cbrt (* (cbrt x) (cbrt x)))
2.0ms
(cbrt (cbrt x))
246.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (* (/ (cbrt (cbrt x)) (cbrt y)) z)))

series1.1s

Counts
4 → 12
Calls
4 calls:
260.0ms
(cbrt x)
466.0ms
(cbrt (* (cbrt x) (cbrt x)))
362.0ms
(cbrt (cbrt x))
27.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (/ (cbrt (* (cbrt x) (cbrt x))) (* (cbrt y) (cbrt y))) (* (/ (cbrt (cbrt x)) (cbrt y)) z)))

simplify2.5s

Counts
160 → 160
Iterations
IterNodes
done5000
23033
1791
0261

prune834.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize80.0ms

Local error

Found 4 expressions with local error:

1.9b
(cbrt (/ (cbrt x) y))
1.9b
(cbrt (/ (cbrt x) y))
1.9b
(cbrt (/ (cbrt x) y))
2.8b
(* (/ (* (cbrt x) (cbrt x)) 1) (* (* (cbrt (/ (cbrt x) y)) (cbrt (/ (cbrt x) y))) (* (cbrt (/ (cbrt x) y)) z)))

rewrite290.0ms

Algorithm
rewrite-expression-head
Rules
114×add-exp-log
93×cbrt-prod
75×prod-exp
57×times-frac
45×add-sqr-sqrt *-un-lft-identity add-cbrt-cube add-cube-cbrt
44×cbrt-unprod
27×cbrt-div
22×pow1
20×div-exp
19×associate-*l/
17×frac-times
13×pow-prod-down associate-*r/
10×cbrt-undiv 1-exp
7×associate-*l*
4×expm1-log1p-u log1p-expm1-u div-inv add-log-exp
3×pow1/3
1×associate-*r* *-commutative
Counts
4 → 177
Calls
4 calls:
4.0ms
(cbrt (/ (cbrt x) y))
4.0ms
(cbrt (/ (cbrt x) y))
4.0ms
(cbrt (/ (cbrt x) y))
261.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (* (cbrt (/ (cbrt x) y)) (cbrt (/ (cbrt x) y))) (* (cbrt (/ (cbrt x) y)) z)))

series793.0ms

Counts
4 → 12
Calls
4 calls:
240.0ms
(cbrt (/ (cbrt x) y))
257.0ms
(cbrt (/ (cbrt x) y))
235.0ms
(cbrt (/ (cbrt x) y))
61.0ms
(* (/ (* (cbrt x) (cbrt x)) 1) (* (* (cbrt (/ (cbrt x) y)) (cbrt (/ (cbrt x) y))) (* (cbrt (/ (cbrt x) y)) z)))

simplify1.8s

Counts
189 → 189
Iterations
IterNodes
done5000
21984
1663
0244

prune1.1s

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

regimes257.0ms

Accuracy

85.8% (0.3b remaining)

Error of 0.3b against oracle of 0.0b and baseline of 2.3b

bsearch113.0ms

Steps
ItersRangePoint
6
5.692691672606684e-37
2.2981263565489977e-36
1.8956626156474862e-36
9
-1.8937447246699273e+91
-1.7856146243755638e+83
-1.872419455404729e+86

simplify4.0ms

Iterations
IterNodes
done28
128
021

end0.0ms

sample893.0ms

Algorithm
intervals
Results
607.0ms10220×body80valid