Details

Time bar (total: 14.3s)

sample38.0ms

Algorithm
intervals
Results
16.0ms346×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: 14.6b

localize26.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
14.2b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite92.0ms

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:
48.0ms
(* (* z z) (+ z 1.0))
41.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series200.0ms

Counts
2 → 6
Calls
2 calls:
95.0ms
(* (* z z) (+ z 1.0))
104.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify2.5s

Counts
61 → 61
Iterations
IterNodes
done5000
23636
1400
0116

prune243.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize11.0ms

Local error

Found 2 expressions with local error:

0.3b
(/ (* (/ y z) (/ x z)) (+ z 1.0))
2.2b
(* (/ y z) (/ x z))

rewrite72.0ms

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:
37.0ms
(/ (* (/ y z) (/ x z)) (+ z 1.0))
25.0ms
(* (/ y z) (/ x z))

series116.0ms

Counts
2 → 6
Calls
2 calls:
74.0ms
(/ (* (/ y z) (/ x z)) (+ z 1.0))
41.0ms
(* (/ y z) (/ x z))

simplify2.4s

Counts
94 → 94
Iterations
IterNodes
done5000
23515
1547
0177

prune595.0ms

Pruning

10 alts after pruning (8 fresh and 2 done)

Merged error: 0b

localize20.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 1 (/ (+ z 1.0) (* (/ x z) (/ y z))))
0.4b
(/ (+ z 1.0) (* (/ x z) (/ y z)))
2.2b
(* (/ x z) (/ y z))

rewrite103.0ms

Algorithm
rewrite-expression-head
Rules
96×add-exp-log
75×times-frac
58×add-cbrt-cube
52×div-exp
51×add-sqr-sqrt *-un-lft-identity
39×add-cube-cbrt
28×cbrt-undiv
20×prod-exp
16×associate-/r/
13×associate-*r* associate-*l*
12×associate-/r* cbrt-unprod
8×div-inv
7×associate-/l*
6×frac-times pow1 rec-exp 1-exp associate-*l/ associate-*r/ distribute-lft-out
4×unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×clear-num frac-2neg associate-/l/
1×flip3-+ pow-prod-down *-commutative flip-+ pow-flip inv-pow
Counts
3 → 174
Calls
3 calls:
47.0ms
(/ 1 (/ (+ z 1.0) (* (/ x z) (/ y z))))
25.0ms
(/ (+ z 1.0) (* (/ x z) (/ y z)))
18.0ms
(* (/ x z) (/ y z))

series221.0ms

Counts
3 → 9
Calls
3 calls:
90.0ms
(/ 1 (/ (+ z 1.0) (* (/ x z) (/ y z))))
92.0ms
(/ (+ z 1.0) (* (/ x z) (/ y z)))
40.0ms
(* (/ x z) (/ y z))

simplify554.0ms

Counts
183 → 183
Iterations
IterNodes
done5000
1835
0279

prune641.0ms

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 3 expressions with local error:

0.4b
(/ 1 (/ (+ z 1.0) (* 1 (/ (/ y z) (/ z x)))))
0.4b
(/ (+ z 1.0) (* 1 (/ (/ y z) (/ z x))))
2.2b
(/ (/ y z) (/ z x))

rewrite132.0ms

Algorithm
rewrite-expression-head
Rules
468×times-frac
231×*-un-lft-identity
219×add-sqr-sqrt add-cube-cbrt
202×add-exp-log
140×div-exp
73×add-cbrt-cube
43×cbrt-undiv
40×prod-exp
35×div-inv
32×1-exp
23×associate-/r*
20×associate-/l*
12×rec-exp
10×cbrt-unprod
7×associate-/r/
6×distribute-lft-out
5×associate-*r/
4×pow1
3×expm1-log1p-u clear-num frac-2neg log1p-expm1-u add-log-exp associate-/l/
1×flip3-+ flip-+ pow-flip inv-pow
Counts
3 → 355
Calls
3 calls:
50.0ms
(/ 1 (/ (+ z 1.0) (* 1 (/ (/ y z) (/ z x)))))
32.0ms
(/ (+ z 1.0) (* 1 (/ (/ y z) (/ z x))))
31.0ms
(/ (/ y z) (/ z x))

series185.0ms

Counts
3 → 9
Calls
3 calls:
84.0ms
(/ 1 (/ (+ z 1.0) (* 1 (/ (/ y z) (/ z x)))))
69.0ms
(/ (+ z 1.0) (* 1 (/ (/ y z) (/ z x))))
32.0ms
(/ (/ y z) (/ z x))

simplify1.3s

Counts
364 → 364
Iterations
IterNodes
done5000
12139
0632

prune1.7s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes194.0ms

Accuracy

0% (2.5b remaining)

Error of 2.6b against oracle of 0.1b and baseline of 2.6b

bsearch0.0ms

simplify2.0ms

Iterations
IterNodes
done18
218
117
012

end0.0ms

sample1.1s

Algorithm
intervals
Results
669.0ms10768×body80valid