Details

Time bar (total: 36.9s)

sample168.0ms

Algorithm
intervals
Results
33.0ms264×body80valid

simplify3.7s

Counts
1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.7b

localize20.0ms

Local error

Found 1 expressions with local error:

16.7b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite28.0ms

Algorithm
rewrite-expression-head
Rules
13×add-cbrt-cube add-exp-log
associate-/r/
flip3-+ flip-+
frac-times cbrt-undiv div-exp prod-exp cbrt-unprod
associate-*l/ associate-*r/
distribute-lft-neg-out add-sqr-sqrt expm1-log1p-u pow1 clear-num associate-/r* frac-2neg *-un-lft-identity times-frac distribute-frac-neg add-cube-cbrt insert-posit16 log1p-expm1-u div-inv associate-/l* add-log-exp
Counts
1 → 33
Calls
1 calls:
Slowest
26.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series128.0ms

Counts
1 → 3
Calls
1 calls:
Slowest
127.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify3.7s

Counts
36 → 36

prune477.0ms

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 3 expressions with local error:

1.2b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite84.0ms

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*
neg-mul-1
associate-/r* associate-/r/
cbrt-undiv div-exp
pow1
flip3-+ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
expm1-log1p-u insert-posit16 log1p-expm1-u add-log-exp
clear-num frac-2neg distribute-frac-neg
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)))
20.0ms
(/ v (+ t1 u))
16.0ms
(/ (- t1) (+ t1 u))

series289.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
166.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
75.0ms
(/ (- t1) (+ t1 u))
47.0ms
(/ v (+ t1 u))

simplify740.0ms

Counts
210 → 210

prune2.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

2.8b
(* (/ (- t1) (+ t1 u)) v)
0.3b
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
0.0b
(/ 1 (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite140.0ms

Algorithm
rewrite-expression-head
Rules
127×*-un-lft-identity
105×times-frac
76×add-sqr-sqrt
71×add-cube-cbrt
54×add-exp-log
47×associate-*l*
34×add-cbrt-cube
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
22×prod-exp
21×associate-*r*
14×div-exp
13×associate-/l*
12×pow1 cbrt-unprod
neg-mul-1
cbrt-undiv associate-/r* associate-/r/
expm1-log1p-u rec-exp flip3-+ 1-exp pow-prod-down associate-*l/ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
distribute-lft-neg-out distribute-frac-neg
clear-num frac-2neg *-commutative unswap-sqr
neg-sub0 frac-times div-sub associate-*r/ un-div-inv pow-flip inv-pow
Counts
4 → 237
Calls
4 calls:
Slowest
56.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
39.0ms
(* (/ (- t1) (+ t1 u)) v)
21.0ms
(/ (- t1) (+ t1 u))
16.0ms
(/ 1 (+ t1 u))

series342.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
147.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
96.0ms
(* (/ (- t1) (+ t1 u)) v)
55.0ms
(/ (- t1) (+ t1 u))
44.0ms
(/ 1 (+ t1 u))

simplify723.0ms

Counts
249 → 249

prune2.6s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize19.0ms

Local error

Found 3 expressions with local error:

8.0b
(* (- t1) (/ v (+ t1 u)))
0.2b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite49.0ms

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*
distribute-lft-out
associate-/r*
cbrt-undiv div-exp associate-/r/
pow1
prod-exp cbrt-unprod associate-/l*
distribute-lft-neg-in expm1-log1p-u distribute-rgt-neg-in flip3-+ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
distribute-lft-neg-out clear-num frac-2neg associate-*r/ unswap-sqr
neg-mul-1 pow-prod-down distribute-frac-neg *-commutative associate-/l/
Counts
3 → 116
Calls
3 calls:
Slowest
23.0ms
(* (- t1) (/ v (+ t1 u)))
17.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
8.0ms
(/ v (+ t1 u))

series202.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
110.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
60.0ms
(* (- t1) (/ v (+ t1 u)))
31.0ms
(/ v (+ t1 u))

simplify2.5s

Counts
125 → 125

prune1.5s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes288.0ms

Accuracy

0% (1.2b remaining)

Error of 1.3b against oracle of 0.0b and baseline of 1.3b

bsearch15.5s

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.3s8245×body80valid