Details

Time bar (total: 18.7s)

sample143.0ms

Algorithm
intervals
Results
75.0ms264×body80valid

simplify4.2s

Counts
1 → 1
Iterations
IterNodes
done5000
124196
111500
10683
9461
8399
7365
6329
5270
4221
3134
265
125
08

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.6b

localize20.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
16.6b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite76.0ms

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:
46.0ms
(* (+ t1 u) (+ t1 u))
19.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series158.0ms

Counts
2 → 6
Calls
2 calls:
27.0ms
(* (+ t1 u) (+ t1 u))
131.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify1.8s

Counts
82 → 82
Iterations
IterNodes
done5032
22031
1427
0118

prune368.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize29.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))
1.0b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite109.0ms

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:
24.0ms
(/ (- t1) (+ t1 u))
16.0ms
(/ v (+ t1 u))
63.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series312.0ms

Counts
3 → 9
Calls
3 calls:
54.0ms
(/ (- t1) (+ t1 u))
43.0ms
(/ v (+ t1 u))
215.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify2.0s

Counts
210 → 210
Iterations
IterNodes
done5000
22452
1656
0222

prune804.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ (- t1) (+ t1 u))
0.8b
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
1.6b
(* (/ (- t1) (+ t1 u)) v)

rewrite73.0ms

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))
32.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
19.0ms
(* (/ (- t1) (+ t1 u)) v)

series372.0ms

Counts
3 → 9
Calls
3 calls:
78.0ms
(/ (- t1) (+ t1 u))
184.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
109.0ms
(* (/ (- t1) (+ t1 u)) v)

simplify1.6s

Counts
183 → 183
Iterations
IterNodes
done5002
21653
1528
0201

prune637.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize48.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
22.3b
(cbrt (* (/ (- t1) (+ t1 u)) (/ v (+ t1 u))))
22.3b
(cbrt (* (/ (- t1) (+ t1 u)) (/ v (+ t1 u))))
22.3b
(cbrt (* (/ (- t1) (+ t1 u)) (/ v (+ t1 u))))

rewrite130.0ms

Algorithm
rewrite-expression-head
Rules
61×*-un-lft-identity
56×times-frac
47×add-sqr-sqrt
46×associate-*l*
35×add-cube-cbrt
18×associate-*r*
16×add-cbrt-cube add-exp-log
13×distribute-lft-out
12×distribute-lft-neg-in distribute-rgt-neg-in
9×cbrt-div
6×pow1
4×expm1-log1p-u frac-times cbrt-undiv neg-mul-1 div-exp associate-*l/ prod-exp associate-*r/ associate-/r/ cbrt-unprod insert-posit16 log1p-expm1-u add-log-exp unswap-sqr
3×cbrt-prod pow1/3
2×flip3-+ flip-+ div-inv
1×distribute-lft-neg-out pow-prod-down distribute-frac-neg *-commutative
Counts
4 → 137
Calls
4 calls:
62.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
19.0ms
(cbrt (* (/ (- t1) (+ t1 u)) (/ v (+ t1 u))))
19.0ms
(cbrt (* (/ (- t1) (+ t1 u)) (/ v (+ t1 u))))
26.0ms
(cbrt (* (/ (- t1) (+ t1 u)) (/ v (+ t1 u))))

series1.1s

Counts
4 → 12
Calls
4 calls:
189.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
306.0ms
(cbrt (* (/ (- t1) (+ t1 u)) (/ v (+ t1 u))))
305.0ms
(cbrt (* (/ (- t1) (+ t1 u)) (/ v (+ t1 u))))
283.0ms
(cbrt (* (/ (- t1) (+ t1 u)) (/ v (+ t1 u))))

simplify2.2s

Counts
149 → 149
Iterations
IterNodes
done5000
21830
1574
0200

prune856.0ms

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

regimes154.0ms

Accuracy

0% (1.2b remaining)

Error of 1.2b against oracle of 0.0b and baseline of 1.2b

bsearch0.0ms

simplify8.0ms

Iterations
IterNodes
done25
425
323
216
112
08

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.3s8239×body80valid