Details

Time bar (total: 16.3s)

sample156.0ms

Algorithm
intervals
Results
26.0ms262×body80valid

simplify2.9s

Counts
1 → 1

prune16.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.0b

localize30.0ms

Local error

Found 2 expressions with local error:

22.0b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite53.0ms

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×insert-posit16 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 → 72
Calls
2 calls:
Slowest
29.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
22.0ms
(* (+ t1 u) (+ t1 u))

series136.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
117.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
19.0ms
(* (+ t1 u) (+ t1 u))

simplify693.0ms

Counts
78 → 78

prune672.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 2 expressions with local error:

1.5b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ v (+ t1 u))

rewrite57.0ms

Algorithm
rewrite-expression-head
Rules
76×*-un-lft-identity
68×times-frac
54×add-sqr-sqrt
46×associate-*l*
42×add-cube-cbrt
18×associate-*r*
17×distribute-lft-out
16×add-cbrt-cube add-exp-log
12×distribute-lft-neg-in distribute-rgt-neg-in
6×associate-/r/
5×cbrt-undiv div-exp
4×pow1 associate-/r* neg-mul-1 prod-exp cbrt-unprod unswap-sqr
3×flip3-+ flip-+ div-inv associate-/l*
2×insert-posit16 add-log-exp
1×distribute-lft-neg-out frac-times clear-num frac-2neg pow-prod-down associate-*l/ associate-*r/ distribute-frac-neg *-commutative
Counts
2 → 124
Calls
2 calls:
Slowest
42.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
13.0ms
(/ v (+ t1 u))

series216.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
162.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
53.0ms
(/ v (+ t1 u))

simplify669.0ms

Counts
130 → 130

prune1.2s

Pruning

8 alts after pruning (8 fresh and 0 done)

Merged error: 0b

localize25.0ms

Local error

Found 2 expressions with local error:

2.8b
(* (/ (- t1) (+ t1 u)) v)
0.7b
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))

rewrite50.0ms

Algorithm
rewrite-expression-head
Rules
52×*-un-lft-identity
46×associate-*l*
45×times-frac
33×add-sqr-sqrt
28×add-cube-cbrt
16×add-cbrt-cube add-exp-log
12×distribute-lft-neg-in distribute-rgt-neg-in distribute-lft-out
5×cbrt-undiv div-exp
4×pow1 associate-/r* neg-mul-1 prod-exp associate-/r/ cbrt-unprod
3×associate-*r* distribute-frac-neg
2×distribute-lft-neg-out flip3-+ associate-*l/ flip-+ insert-posit16 div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l* associate-/l/
Counts
2 → 97
Calls
2 calls:
Slowest
25.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
22.0ms
(* (/ (- t1) (+ t1 u)) v)

series313.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
190.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
122.0ms
(* (/ (- t1) (+ t1 u)) v)

simplify2.6s

Counts
103 → 103

prune986.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

7.5b
(* (- t1) (/ v (+ t1 u)))
0.7b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite84.0ms

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 distribute-rgt-neg-in flip3-+ flip-+ insert-posit16 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 → 110
Calls
3 calls:
Slowest
35.0ms
(* (- t1) (/ v (+ t1 u)))
33.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
14.0ms
(/ v (+ t1 u))

series236.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
123.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
81.0ms
(* (- t1) (/ v (+ t1 u)))
32.0ms
(/ v (+ t1 u))

simplify2.8s

Counts
119 → 119

prune1.0s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

regimes167.0ms

Accuracy

0% (1.4b remaining)

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

bsearch4.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
861.0ms8246×body80valid