Details

Time bar (total: 16.8s)

sample157.0ms

Algorithm
intervals
Results
40.0ms264×body80valid

simplify2.2s

Counts
1 → 1
Iterations
IterNodes
done2008
122008
111500
10683
9461
8399
7365
6329
5270
4221
3134
265
125
08

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.2b

localize30.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
19.2b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite95.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-cbrt-cube add-exp-log
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×swap-sqr add-cube-cbrt distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv div-exp associate-*r* associate-*l* associate-*l/ associate-*r/
2×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in clear-num associate-/r* frac-2neg distribute-lft-in times-frac pow-plus pow-prod-down distribute-frac-neg pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 76
Calls
2 calls:
54.0ms
(* (+ t1 u) (+ t1 u))
37.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series177.0ms

Counts
2 → 6
Calls
2 calls:
26.0ms
(* (+ t1 u) (+ t1 u))
151.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.1s

Counts
82 → 82
Iterations
IterNodes
done2000
22000
1427
0118

prune363.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize31.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))
0.3b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite70.0ms

Algorithm
rewrite-expression-head
Rules
125×*-un-lft-identity
108×times-frac
81×add-sqr-sqrt
69×add-cube-cbrt
46×associate-*l*
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
19×add-cbrt-cube add-exp-log
18×associate-*r*
13×associate-/l*
9×neg-mul-1
8×associate-/r* associate-/r/
6×cbrt-undiv div-exp
5×pow1
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
3×expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
2×clear-num frac-2neg distribute-frac-neg
1×distribute-lft-neg-out neg-sub0 frac-times div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
3 → 201
Calls
3 calls:
14.0ms
(/ v (+ t1 u))
13.0ms
(/ (- t1) (+ t1 u))
35.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series271.0ms

Counts
3 → 9
Calls
3 calls:
46.0ms
(/ v (+ t1 u))
72.0ms
(/ (- t1) (+ t1 u))
152.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify1.1s

Counts
210 → 210
Iterations
IterNodes
done2000
22000
1656
0222

prune967.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.7b
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
2.4b
(* (/ (- t1) (+ t1 u)) v)

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
101×*-un-lft-identity
85×times-frac
60×add-sqr-sqrt
55×add-cube-cbrt
46×associate-*l*
27×distribute-lft-neg-in distribute-rgt-neg-in
23×distribute-lft-out
19×add-cbrt-cube add-exp-log
11×associate-/l*
9×neg-mul-1
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp distribute-frac-neg cbrt-unprod
3×expm1-log1p-u flip3-+ associate-*r* flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
2×distribute-lft-neg-out clear-num frac-2neg associate-*l/ unswap-sqr
1×neg-sub0 div-sub pow-prod-down *-commutative associate-/l/
Counts
3 → 174
Calls
3 calls:
18.0ms
(/ (- t1) (+ t1 u))
24.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
23.0ms
(* (/ (- t1) (+ t1 u)) v)

series388.0ms

Counts
3 → 9
Calls
3 calls:
65.0ms
(/ (- t1) (+ t1 u))
200.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
123.0ms
(* (/ (- t1) (+ t1 u)) v)

simplify1.5s

Counts
183 → 183
Iterations
IterNodes
done2312
32312
21653
1528
0201

prune832.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (+ t1 u) v)
0.0b
(/ (- t1) (+ t1 u))
0.6b
(/ (/ (- t1) (+ t1 u)) (/ (+ t1 u) v))

rewrite129.0ms

Algorithm
rewrite-expression-head
Rules
2032×times-frac
1457×*-un-lft-identity
805×add-sqr-sqrt add-cube-cbrt
326×distribute-lft-out
219×distribute-lft-neg-in distribute-rgt-neg-in
73×neg-mul-1
67×div-inv
60×associate-/l*
37×associate-/r/
23×associate-/r*
19×flip3-+ add-cbrt-cube add-exp-log flip-+
10×cbrt-undiv div-exp
3×expm1-log1p-u pow1 clear-num frac-2neg div-sub distribute-frac-neg insert-posit16 log1p-expm1-u add-log-exp associate-/l/
2×neg-sub0
Counts
3 → 932
Calls
3 calls:
16.0ms
(/ (+ t1 u) v)
10.0ms
(/ (- t1) (+ t1 u))
44.0ms
(/ (/ (- t1) (+ t1 u)) (/ (+ t1 u) v))

series351.0ms

Counts
3 → 9
Calls
3 calls:
36.0ms
(/ (+ t1 u) v)
80.0ms
(/ (- t1) (+ t1 u))
235.0ms
(/ (/ (- t1) (+ t1 u)) (/ (+ t1 u) v))

simplify1.7s

Counts
941 → 941
Iterations
IterNodes
done2001
12001
0989

prune3.5s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

regimes266.0ms

Accuracy

0% (1.6b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify3.0ms

Iterations
IterNodes
done15
115
010

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.3s8251×body80valid