Details

Time bar (total: 15.7s)

sample124.0ms

Algorithm
intervals
Results
31.0ms264×body80valid

simplify2.6s

Counts
1 → 1

prune18.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.5b

localize22.0ms

Local error

Found 2 expressions with local error:

19.5b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite61.0ms

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
38.0ms
(* (+ t1 u) (+ t1 u))
20.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series180.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
151.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
29.0ms
(* (+ t1 u) (+ t1 u))

simplify606.0ms

Counts
78 → 78

prune683.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize17.0ms

Local error

Found 2 expressions with local error:

1.3b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ (- t1) (+ t1 u))

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
107×*-un-lft-identity
96×times-frac
71×add-sqr-sqrt
59×add-cube-cbrt
46×associate-*l*
27×distribute-lft-neg-in distribute-rgt-neg-in
24×distribute-lft-out
18×associate-*r*
16×add-cbrt-cube add-exp-log
10×associate-/l*
9×neg-mul-1
6×associate-/r/
5×cbrt-undiv div-exp
4×pow1 associate-/r* prod-exp cbrt-unprod unswap-sqr
3×flip3-+ flip-+ div-inv
2×distribute-frac-neg insert-posit16 add-log-exp
1×distribute-lft-neg-out neg-sub0 frac-times clear-num frac-2neg div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Counts
2 → 161
Calls
2 calls:
Slowest
54.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
12.0ms
(/ (- t1) (+ t1 u))

series222.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
169.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
53.0ms
(/ (- t1) (+ t1 u))

simplify586.0ms

Counts
167 → 167

prune1.4s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize33.0ms

Local error

Found 3 expressions with local error:

3.4b
(* (/ (- t1) (+ t1 u)) v)
0.5b
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite96.0ms

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×flip3-+ associate-*r* flip-+ insert-posit16 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 → 168
Calls
3 calls:
Slowest
38.0ms
(* (/ (- t1) (+ t1 u)) v)
34.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
18.0ms
(/ (- t1) (+ t1 u))

series377.0ms

Counts
3 → 9
Calls
3 calls:
Slowest
176.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
137.0ms
(* (/ (- t1) (+ t1 u)) v)
65.0ms
(/ (- t1) (+ t1 u))

simplify2.7s

Counts
177 → 177

prune1.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize50.0ms

Local error

Found 4 expressions with local error:

2.2b
(* (* (cbrt v) (cbrt v)) (/ (- t1) (+ t1 u)))
0.6b
(cbrt v)
0.6b
(cbrt v)
0.6b
(cbrt v)

rewrite68.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
46×associate-*r*
41×times-frac
33×add-sqr-sqrt
30×add-cube-cbrt
16×add-exp-log
12×distribute-lft-neg-in distribute-rgt-neg-in add-cbrt-cube
10×distribute-lft-out
9×cbrt-prod pow1
6×prod-exp cbrt-unprod
4×neg-mul-1 insert-posit16 add-log-exp
3×pow1/3 pow-prod-down
2×cbrt-undiv div-exp associate-/r/ unswap-sqr
1×flip3-+ associate-*l* associate-*r/ distribute-frac-neg *-commutative distribute-rgt-neg-out flip-+ div-inv
Counts
4 → 106
Calls
4 calls:
Slowest
60.0ms
(* (* (cbrt v) (cbrt v)) (/ (- t1) (+ t1 u)))
1.0ms
(cbrt v)
1.0ms
(cbrt v)
1.0ms
(cbrt v)

series1.1s

Counts
4 → 12
Calls
4 calls:
Slowest
304.0ms
(cbrt v)
298.0ms
(cbrt v)
293.0ms
(cbrt v)
240.0ms
(* (* (cbrt v) (cbrt v)) (/ (- t1) (+ t1 u)))

simplify573.0ms

Counts
118 → 118

prune1.2s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes160.0ms

Accuracy

0% (1.2b remaining)

Error of 1.4b against oracle of 0.3b and baseline of 1.4b

bsearch8.0ms

end0.0ms

sample1.0s

Algorithm
intervals
Results
783.0ms8299×body80valid