Details

Time bar (total: 25.5s)

sample169.0ms

Algorithm
intervals
Results
79.0ms262×body80valid

simplify4.0s

Counts
1 → 1

prune8.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 22.0b

localize32.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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
23.0ms
(* (+ t1 u) (+ t1 u))
19.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series135.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
116.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
18.0ms
(* (+ t1 u) (+ t1 u))

simplify609.0ms

Counts
82 → 82

prune756.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite46.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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 → 128
Calls
2 calls:
Slowest
36.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
8.0ms
(/ v (+ t1 u))

series208.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
175.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
33.0ms
(/ v (+ t1 u))

simplify630.0ms

Counts
134 → 134

prune1.3s

Pruning

7 alts after pruning (7 fresh and 0 done)

Merged error: 0b

localize14.0ms

Local error

Found 2 expressions with local error:

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

rewrite44.0ms

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 expm1-log1p-u flip3-+ associate-*l/ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp unswap-sqr
1×clear-num frac-2neg pow-prod-down *-commutative associate-/l* associate-/l/
Counts
2 → 101
Calls
2 calls:
Slowest
23.0ms
(* (/ (- t1) (+ t1 u)) v)
19.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))

series236.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
145.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
91.0ms
(* (/ (- t1) (+ t1 u)) v)

simplify2.9s

Counts
107 → 107

prune1.1s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 2 expressions with local error:

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

rewrite101.0ms

Algorithm
rewrite-expression-head
Rules
1992×times-frac
1408×*-un-lft-identity
778×add-sqr-sqrt add-cube-cbrt
315×distribute-lft-out
204×distribute-lft-neg-in distribute-rgt-neg-in
68×neg-mul-1
66×div-inv
50×associate-/l*
35×associate-/r/
19×associate-/r*
18×flip3-+ flip-+
16×add-cbrt-cube add-exp-log
9×cbrt-undiv div-exp
3×associate-/l/
2×expm1-log1p-u pow1 clear-num frac-2neg div-sub distribute-frac-neg insert-posit16 log1p-expm1-u add-log-exp
1×neg-sub0
Counts
2 → 859
Calls
2 calls:
Slowest
49.0ms
(/ (/ (- t1) (+ t1 u)) (/ (+ t1 u) v))
20.0ms
(/ (+ t1 u) v)

series255.0ms

Counts
2 → 6
Calls
2 calls:
Slowest
229.0ms
(/ (/ (- t1) (+ t1 u)) (/ (+ t1 u) v))
26.0ms
(/ (+ t1 u) v)

simplify1.7s

Counts
865 → 865

prune9.6s

Pruning

7 alts after pruning (5 fresh and 2 done)

Merged error: 0b

regimes182.0ms

Accuracy

0% (1.1b remaining)

Error of 1.1b against oracle of 0.0b and baseline of 1.1b

bsearch5.0ms

end0.0ms

sample1.5s

Algorithm
intervals
Results
1.2s8246×body80valid