Details

Time bar (total: 18.6s)

sample248.0ms

Algorithm
intervals
Results
38.0ms265×body80valid

simplify3.5s

Counts
1 → 1

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 15.7b

localize20.0ms

Local error

Found 2 expressions with local error:

15.7b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite43.0ms

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:
Slowest
22.0ms
(* (+ t1 u) (+ t1 u))
18.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series165.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
138.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
27.0ms
(* (+ t1 u) (+ t1 u))

simplify586.0ms

Counts
82 → 82

prune730.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 3 expressions with local error:

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

rewrite74.0ms

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:
Slowest
44.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
15.0ms
(/ (- t1) (+ t1 u))
8.0ms
(/ v (+ t1 u))

series305.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
182.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
79.0ms
(/ (- t1) (+ t1 u))
43.0ms
(/ v (+ t1 u))

simplify745.0ms

Counts
210 → 210

prune1.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize16.0ms

Local error

Found 3 expressions with local error:

9.1b
(* (- t1) (/ v (+ t1 u)))
0.3b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite53.0ms

Algorithm
rewrite-expression-head
Rules
43×*-un-lft-identity
30×add-sqr-sqrt
29×times-frac
25×add-cube-cbrt
19×add-cbrt-cube add-exp-log
18×associate-*r*
10×associate-*l*
9×distribute-lft-out
8×associate-/r*
6×cbrt-undiv div-exp associate-/r/
5×pow1
4×prod-exp cbrt-unprod associate-/l*
3×distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in flip3-+ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
2×distribute-lft-neg-out clear-num frac-2neg associate-*r/ unswap-sqr
1×neg-mul-1 pow-prod-down distribute-frac-neg *-commutative associate-/l/
Counts
3 → 116
Calls
3 calls:
Slowest
26.0ms
(* (- t1) (/ v (+ t1 u)))
17.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
8.0ms
(/ v (+ t1 u))

series236.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
114.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
85.0ms
(* (- t1) (/ v (+ t1 u)))
37.0ms
(/ v (+ t1 u))

simplify3.0s

Counts
125 → 125

prune1.1s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

1.9b
(* (/ (- t1) (+ t1 u)) v)
0.3b
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite95.0ms

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:
Slowest
36.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
29.0ms
(* (/ (- t1) (+ t1 u)) v)
25.0ms
(/ (- t1) (+ t1 u))

series389.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
197.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
129.0ms
(* (/ (- t1) (+ t1 u)) v)
62.0ms
(/ (- t1) (+ t1 u))

simplify2.5s

Counts
183 → 183

prune1.7s

Pruning

7 alts after pruning (4 fresh and 3 done)

Merged error: 0b

regimes129.0ms

Accuracy

0% (1.3b remaining)

Error of 1.4b against oracle of 0.0b and baseline of 1.4b

bsearch5.0ms

end1.0ms

sample1.1s

Algorithm
intervals
Results
824.0ms8251×body80valid