Details

Time bar (total: 31.9s)

sample153.0ms

Algorithm
intervals
Results
31.0ms258×body80valid

simplify2.9s

Counts
1 → 1

prune9.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 16.9b

localize15.0ms

Local error

Found 2 expressions with local error:

16.9b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite71.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-cbrt-cube add-exp-log
12×flip3-+ flip-+
pow1
add-sqr-sqrt frac-times associate-/r/
swap-sqr add-cube-cbrt distribute-lft-out
prod-exp cbrt-unprod
cbrt-undiv div-exp associate-*r* associate-*l* associate-*l/ associate-*r/
insert-posit16 add-log-exp
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
48.0ms
(* (+ t1 u) (+ t1 u))
19.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series112.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
95.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
17.0ms
(* (+ t1 u) (+ t1 u))

simplify568.0ms

Counts
78 → 78

prune739.0ms

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize28.0ms

Local error

Found 3 expressions with local error:

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

rewrite76.0ms

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
insert-posit16 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 → 195
Calls
3 calls:
Slowest
48.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
14.0ms
(/ v (+ t1 u))
9.0ms
(/ (- t1) (+ t1 u))

series305.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
201.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
64.0ms
(/ (- t1) (+ t1 u))
40.0ms
(/ v (+ t1 u))

simplify666.0ms

Counts
204 → 204

prune2.2s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize17.0ms

Local error

Found 4 expressions with local error:

2.6b
(* (/ (- t1) (+ t1 u)) v)
0.7b
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
0.0b
(/ 1 (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite94.0ms

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/
rec-exp flip3-+ 1-exp pow-prod-down associate-*l/ flip-+ insert-posit16 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 → 229
Calls
4 calls:
Slowest
47.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
23.0ms
(* (/ (- t1) (+ t1 u)) v)
10.0ms
(/ 1 (+ t1 u))
9.0ms
(/ (- t1) (+ t1 u))

series470.0ms

Counts
4 → 12
Calls
4 calls:
Slowest
211.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
148.0ms
(* (/ (- t1) (+ t1 u)) v)
60.0ms
(/ (- t1) (+ t1 u))
51.0ms
(/ 1 (+ t1 u))

simplify853.0ms

Counts
241 → 241

prune2.3s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize14.0ms

Local error

Found 3 expressions with local error:

8.7b
(* (- t1) (/ v (+ t1 u)))
0.6b
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite63.0ms

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 distribute-rgt-neg-in flip3-+ flip-+ insert-posit16 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 → 110
Calls
3 calls:
Slowest
29.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
24.0ms
(* (- t1) (/ v (+ t1 u)))
8.0ms
(/ v (+ t1 u))

series244.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
120.0ms
(/ (* (- t1) (/ v (+ t1 u))) (+ t1 u))
87.0ms
(* (- t1) (/ v (+ t1 u)))
37.0ms
(/ v (+ t1 u))

simplify2.5s

Counts
119 → 119

prune1.2s

Pruning

5 alts after pruning (2 fresh and 3 done)

Merged error: 0b

regimes118.0ms

Accuracy

0% (1.3b remaining)

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

bsearch15.1s

end0.0ms

sample1.1s

Algorithm
intervals
Results
872.0ms8258×body80valid