Details

Time bar (total: 12.2s)

sample65.0ms

Algorithm
intervals
Results
45.0ms336×body80valid

simplify89.0ms

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

localize16.0ms

Local error

Found 3 expressions with local error:

0.0b
(- (/ (+ x 4) y) (* (/ x y) z))
0.0b
(/ (+ x 4) y)
4.0b
(* (/ x y) z)

rewrite83.0ms

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/ insert-posit16
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 → 82
Calls
3 calls:
41.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
25.0ms
(/ (+ x 4) y)
14.0ms
(* (/ x y) z)

series162.0ms

Counts
3 → 9
Calls
3 calls:
70.0ms
(- (/ (+ x 4) y) (* (/ x y) z))
52.0ms
(/ (+ x 4) y)
41.0ms
(* (/ x y) z)

simplify1.3s

Counts
91 → 91
Iterations
IterNodes
done2016
32016
21147
1356
0145

prune552.0ms

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 y)
0.6b
(cbrt y)
1.1b
(* (/ x (cbrt y)) z)
3.5b
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

rewrite115.0ms

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
6×rec-exp 1-exp
4×associate-*r* pow-prod-down associate-*l/ insert-posit16 add-log-exp
3×unswap-sqr
2×pow1/3 *-commutative div-inv
1×frac-times associate-*r/
Counts
4 → 119
Calls
4 calls:
1.0ms
(cbrt y)
1.0ms
(cbrt y)
19.0ms
(* (/ x (cbrt y)) z)
90.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

series859.0ms

Counts
4 → 12
Calls
4 calls:
300.0ms
(cbrt y)
308.0ms
(cbrt y)
173.0ms
(* (/ x (cbrt y)) z)
78.0ms
(* (/ 1 (* (cbrt y) (cbrt y))) (* (/ x (cbrt y)) z))

simplify1.5s

Counts
131 → 131
Iterations
IterNodes
done2046
32046
21700
1459
0173

prune635.0ms

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize40.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt (/ x y)) (cbrt (/ x y)))
9.4b
(cbrt (/ x y))
9.4b
(cbrt (/ x y))
9.4b
(cbrt (/ x y))

rewrite24.0ms

Algorithm
rewrite-expression-head
Rules
103×cbrt-prod
81×add-sqr-sqrt
69×times-frac
57×*-un-lft-identity add-cube-cbrt
16×swap-sqr associate-*r* associate-*l*
11×pow1
9×pow1/3 unswap-sqr
7×cbrt-div div-inv
6×add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 frac-times pow-plus associate-*l/ prod-exp associate-*r/ *-commutative cbrt-unprod
Counts
4 → 148
Calls
4 calls:
15.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
2.0ms
(cbrt (/ x y))
1.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series404.0ms

Counts
4 → 12
Calls
4 calls:
119.0ms
(* (cbrt (/ x y)) (cbrt (/ x y)))
93.0ms
(cbrt (/ x y))
94.0ms
(cbrt (/ x y))
98.0ms
(cbrt (/ x y))

simplify1.3s

Counts
160 → 160
Iterations
IterNodes
done2002
42002
31331
2639
1281
0163

prune942.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize36.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt (/ 1 y))
9.4b
(cbrt (/ x y))
9.4b
(cbrt (/ x y))

rewrite9.0ms

Algorithm
rewrite-expression-head
Rules
42×cbrt-prod
27×times-frac
26×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
4×pow1 add-cbrt-cube pow1/3 add-exp-log insert-posit16 add-log-exp
3×cbrt-div div-inv
Counts
4 → 81
Calls
4 calls:
1.0ms
(cbrt x)
2.0ms
(cbrt (/ 1 y))
2.0ms
(cbrt (/ x y))
2.0ms
(cbrt (/ x y))

series651.0ms

Counts
4 → 12
Calls
4 calls:
247.0ms
(cbrt x)
229.0ms
(cbrt (/ 1 y))
86.0ms
(cbrt (/ x y))
87.0ms
(cbrt (/ x y))

simplify1.0s

Counts
93 → 93
Iterations
IterNodes
done2000
42000
31066
2437
1212
0134

prune536.0ms

Pruning

9 alts after pruning (6 fresh and 3 done)

Merged error: 0b

regimes261.0ms

Accuracy

53.6% (1.0b remaining)

Error of 1.0b against oracle of 0.0b and baseline of 2.1b

bsearch65.0ms

Steps
ItersRangePoint
6
4.4274787277123e-31
1.9680046081317546e-30
7.112063224883513e-31

simplify8.0ms

Iterations
IterNodes
done33
133
025

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.1s10151×body80valid