Details

Time bar (total: 12.6s)

sample60.0ms

Algorithm
intervals
Results
41.0ms356×body80valid

simplify1.7s

Counts
1 → 1
Iterations
IterNodes
done5000
81978
7763
6513
5402
4272
3166
276
127
09

prune5.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 13.4b

localize21.0ms

Local error

Found 2 expressions with local error:

0.1b
(* (* z z) (+ z 1.0))
13.3b
(/ (* x y) (* (* z z) (+ z 1.0)))

rewrite86.0ms

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×flip3-+ associate-/r/ flip-+ insert-posit16 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 → 53
Calls
2 calls:
49.0ms
(* (* z z) (+ z 1.0))
35.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

series203.0ms

Counts
2 → 6
Calls
2 calls:
81.0ms
(* (* z z) (+ z 1.0))
122.0ms
(/ (* x y) (* (* z z) (+ z 1.0)))

simplify1.8s

Counts
59 → 59
Iterations
IterNodes
done5002
23594
1393
0114

prune194.0ms

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 4.2b

localize26.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
5.7b
(* (/ x (* z z)) (/ y (+ z 1.0)))
9.2b
(/ x (* z z))

rewrite72.0ms

Algorithm
rewrite-expression-head
Rules
38×*-un-lft-identity
34×add-sqr-sqrt times-frac
31×add-cbrt-cube add-exp-log
24×add-cube-cbrt
18×associate-*r*
10×cbrt-undiv div-exp
9×prod-exp cbrt-unprod
7×associate-*l* distribute-lft-out
6×associate-/l*
5×pow1 associate-/r*
4×associate-/r/ div-inv unswap-sqr
3×insert-posit16 add-log-exp
2×clear-num frac-2neg flip3-+ flip-+
1×frac-times pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 110
Calls
3 calls:
8.0ms
(/ y (+ z 1.0))
51.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
11.0ms
(/ x (* z z))

series135.0ms

Counts
3 → 9
Calls
3 calls:
39.0ms
(/ y (+ z 1.0))
70.0ms
(* (/ x (* z z)) (/ y (+ z 1.0)))
27.0ms
(/ x (* z z))

simplify1.8s

Counts
119 → 119
Iterations
IterNodes
done5001
23895
1550
0183

prune351.0ms

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize33.0ms

Local error

Found 4 expressions with local error:

0.5b
(* (cbrt x) (cbrt x))
0.6b
(cbrt x)
0.6b
(cbrt x)
0.6b
(cbrt x)

rewrite14.0ms

Algorithm
rewrite-expression-head
Rules
25×cbrt-prod
23×add-sqr-sqrt
15×*-un-lft-identity add-cube-cbrt
11×pow1
9×pow1/3
6×swap-sqr associate-*r* associate-*l* add-exp-log
4×add-cbrt-cube insert-posit16 add-log-exp unswap-sqr
2×pow-prod-down pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 77
Calls
4 calls:
11.0ms
(* (cbrt x) (cbrt x))
1.0ms
(cbrt x)
1.0ms
(cbrt x)
1.0ms
(cbrt x)

series1.1s

Counts
4 → 12
Calls
4 calls:
281.0ms
(* (cbrt x) (cbrt x))
268.0ms
(cbrt x)
262.0ms
(cbrt x)
251.0ms
(cbrt x)

simplify1.1s

Counts
89 → 89
Iterations
IterNodes
done5001
2731
1140
063

prune388.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ y (+ z 1.0))
1.2b
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
2.3b
(* (/ x z) (/ y (+ z 1.0)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
94×add-exp-log
58×add-cbrt-cube
48×*-un-lft-identity
46×add-sqr-sqrt times-frac
40×prod-exp
34×add-cube-cbrt
31×div-exp
26×associate-*l*
22×cbrt-unprod
19×associate-*r*
18×cbrt-undiv
10×pow1
7×distribute-lft-out
6×frac-times associate-*r/
5×rec-exp 1-exp
4×associate-/r* pow-prod-down associate-*l/ associate-/r/ div-inv unswap-sqr
3×insert-posit16 associate-/l* add-log-exp
2×flip3-+ *-commutative flip-+
1×clear-num frac-2neg
Counts
3 → 152
Calls
3 calls:
14.0ms
(/ y (+ z 1.0))
49.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
29.0ms
(* (/ x z) (/ y (+ z 1.0)))

series177.0ms

Counts
3 → 9
Calls
3 calls:
45.0ms
(/ y (+ z 1.0))
74.0ms
(* (/ 1 z) (* (/ x z) (/ y (+ z 1.0))))
58.0ms
(* (/ x z) (/ y (+ z 1.0)))

simplify833.0ms

Counts
161 → 161
Iterations
IterNodes
done5001
1836
0260

prune486.0ms

Pruning

10 alts after pruning (9 fresh and 1 done)

Merged error: 0b

regimes369.0ms

Accuracy

-10.2% (3.0b remaining)

Error of 3.0b against oracle of 0.0b and baseline of 2.7b

bsearch137.0ms

Steps
ItersRangePoint
9
-7.512519879142002e-147
-1.0136022580229297e-153
-4.1969523455894576e-147
8
-7.579728885711924e+92
-1.194776095236265e+88
-3.073195567888202e+90

simplify5.0ms

Iterations
IterNodes
done30
130
021

end0.0ms

sample1.5s

Algorithm
intervals
Results
899.0ms10702×body80valid