Details

Time bar (total: 13.3s)

sample42.0ms

Algorithm
intervals
Results
20.0ms351×body80valid

simplify1.8s

Counts
1 → 1
Iterations
IterNodes
done5000
81998
7830
6571
5421
4285
3178
278
127
09

prune14.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.3b

localize13.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.8b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite83.0ms

Algorithm
rewrite-expression-head
Rules
28×add-cbrt-cube add-exp-log
12×prod-exp cbrt-unprod
7×pow1
6×cbrt-undiv div-exp
5×*-un-lft-identity
4×add-sqr-sqrt associate-*r* associate-*r/
3×pow-prod-down add-cube-cbrt
2×expm1-log1p-u flip3-+ associate-/r/ flip-+ log1p-expm1-u add-log-exp
1×distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac associate-*l* *-commutative div-inv distribute-lft-out associate-/l* unswap-sqr
Counts
2 → 55
Calls
2 calls:
41.0ms
(* (* z z) (+ z 1.0))
39.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series224.0ms

Counts
2 → 6
Calls
2 calls:
91.0ms
(* (* z z) (+ z 1.0))
133.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify2.1s

Counts
61 → 61
Iterations
IterNodes
done5000
23636
1400
0116

prune213.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0.0b

localize12.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* (/ y z) (/ x z)) (+ z 1.0))
4.3b
(* (/ y z) (/ x z))

rewrite51.0ms

Algorithm
rewrite-expression-head
Rules
32×add-cbrt-cube add-exp-log
30×add-sqr-sqrt
26×times-frac
22×*-un-lft-identity
18×add-cube-cbrt
13×cbrt-undiv div-exp associate-*r* associate-*l*
8×prod-exp cbrt-unprod
4×pow1 associate-/r* unswap-sqr
3×div-inv associate-/l/
2×expm1-log1p-u frac-times associate-*l/ associate-*r/ associate-/r/ log1p-expm1-u distribute-lft-out add-log-exp
1×clear-num frac-2neg flip3-+ pow-prod-down *-commutative flip-+ associate-/l*
Counts
2 → 88
Calls
2 calls:
26.0ms
(/ (* (/ y z) (/ x z)) (+ z 1.0))
21.0ms
(* (/ y z) (/ x z))

series101.0ms

Counts
2 → 6
Calls
2 calls:
58.0ms
(/ (* (/ y z) (/ x z)) (+ z 1.0))
43.0ms
(* (/ y z) (/ x z))

simplify1.9s

Counts
94 → 94
Iterations
IterNodes
done5000
23515
1547
0177

prune471.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize39.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt x)
0.6b
(cbrt x)
1.3b
(* (cbrt x) (* (cbrt x) (/ y z)))
2.3b
(* (cbrt x) (/ y z))

rewrite46.0ms

Algorithm
rewrite-expression-head
Rules
27×add-sqr-sqrt
18×add-exp-log
17×*-un-lft-identity add-cube-cbrt
14×cbrt-prod associate-*r*
12×associate-*l*
11×pow1 times-frac add-cbrt-cube
7×prod-exp cbrt-unprod
4×expm1-log1p-u pow-prod-down log1p-expm1-u add-log-exp unswap-sqr
3×associate-*r/
2×cbrt-undiv pow1/3 div-exp *-commutative
1×div-inv
Counts
4 → 91
Calls
4 calls:
1.0ms
(cbrt x)
1.0ms
(cbrt x)
23.0ms
(* (cbrt x) (* (cbrt x) (/ y z)))
19.0ms
(* (cbrt x) (/ y z))

series752.0ms

Counts
4 → 12
Calls
4 calls:
215.0ms
(cbrt x)
220.0ms
(cbrt x)
183.0ms
(* (cbrt x) (* (cbrt x) (/ y z)))
134.0ms
(* (cbrt x) (/ y z))

simplify1.2s

Counts
103 → 103
Iterations
IterNodes
done5000
21856
1315
0124

prune529.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.3b
(/ (/ (* x (/ y z)) z) (+ z 1.0))
1.7b
(/ (* x (/ y z)) z)
3.9b
(* x (/ y z))

rewrite62.0ms

Algorithm
rewrite-expression-head
Rules
56×times-frac
47×*-un-lft-identity
36×add-sqr-sqrt
31×add-cbrt-cube add-exp-log add-cube-cbrt
13×cbrt-undiv div-exp associate-*r*
8×div-inv distribute-lft-out associate-/l*
7×associate-/r*
6×prod-exp cbrt-unprod
5×pow1
3×expm1-log1p-u associate-*l* log1p-expm1-u add-log-exp
2×clear-num frac-2neg associate-*r/ associate-/r/ unswap-sqr associate-/l/
1×flip3-+ pow-prod-down *-commutative flip-+
Counts
3 → 122
Calls
3 calls:
24.0ms
(/ (/ (* x (/ y z)) z) (+ z 1.0))
13.0ms
(/ (* x (/ y z)) z)
19.0ms
(* x (/ y z))

series161.0ms

Counts
3 → 9
Calls
3 calls:
86.0ms
(/ (/ (* x (/ y z)) z) (+ z 1.0))
47.0ms
(/ (* x (/ y z)) z)
28.0ms
(* x (/ y z))

simplify1.1s

Counts
131 → 131
Iterations
IterNodes
done5000
23180
1570
0205

prune653.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes300.0ms

Accuracy

0% (2.3b remaining)

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

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done16
116
012

end0.0ms

sample1.4s

Algorithm
intervals
Results
570.0ms10850×body80valid