Details

Time bar (total: 46.0s)

sample110.0ms

Algorithm
intervals
Results
37.0ms263×body80valid

simplify322.0ms

Calls
1 calls:
Slowest
321.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune7.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.8b

localize15.0ms

Local error

Found 2 expressions with local error:

19.8b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite81.0ms

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
Calls
2 calls:
Slowest
55.0ms
(* (+ t1 u) (+ t1 u))
24.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series145.0ms

Calls
2 calls:
Slowest
122.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
23.0ms
(* (+ t1 u) (+ t1 u))

simplify7.9s

Calls
69 calls:
Slowest
947.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
860.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
843.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
816.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
333.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune676.0ms

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0.0b

localize23.0ms

Local error

Found 3 expressions with local error:

0.9b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite78.0ms

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*
9×neg-mul-1
8×associate-/r* associate-/r/
6×cbrt-undiv div-exp
5×pow1
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
3×insert-posit16 add-log-exp
2×clear-num frac-2neg distribute-frac-neg
1×distribute-lft-neg-out neg-sub0 frac-times div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Calls
3 calls:
Slowest
33.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
21.0ms
(/ v (+ t1 u))
18.0ms
(/ (- t1) (+ t1 u))

series295.0ms

Calls
3 calls:
Slowest
193.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
58.0ms
(/ (- t1) (+ t1 u))
44.0ms
(/ v (+ t1 u))

simplify6.5s

Calls
225 calls:
Slowest
526.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
383.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
357.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
315.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
196.0ms
(+ (- (log (- t1)) (log (+ t1 u))) (log (/ v (+ t1 u))))

prune1.9s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

localize27.0ms

Local error

Found 3 expressions with local error:

2.7b
(* (/ (- t1) (+ t1 u)) v)
0.8b
(/ (* (/ (- 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/
Calls
3 calls:
Slowest
38.0ms
(* (/ (- t1) (+ t1 u)) v)
34.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
18.0ms
(/ (- t1) (+ t1 u))

series310.0ms

Calls
3 calls:
Slowest
168.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
92.0ms
(* (/ (- t1) (+ t1 u)) v)
50.0ms
(/ (- t1) (+ t1 u))

simplify5.6s

Calls
187 calls:
Slowest
540.0ms
(/ (* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
415.0ms
(/ (* (* (* (/ (- t1) (+ t1 u)) v) (* (/ (- t1) (+ t1 u)) v)) (* (/ (- t1) (+ t1 u)) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
409.0ms
(/ (* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* v v) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
240.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v))
220.0ms
(- (+ (log (/ (- t1) (+ t1 u))) (log v)) (log (+ t1 u)))

prune1.6s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize43.0ms

Local error

Found 4 expressions with local error:

0.9b
(* (/ (* (cbrt t1) (cbrt t1)) (/ (+ t1 u) (- (cbrt t1)))) (/ v (+ t1 u)))
0.6b
(cbrt t1)
0.6b
(cbrt t1)
0.6b
(cbrt t1)

rewrite105.0ms

Algorithm
rewrite-expression-head
Rules
153×times-frac
91×*-un-lft-identity
73×associate-*l*
70×add-sqr-sqrt
53×add-cube-cbrt
45×add-exp-log
37×add-cbrt-cube
33×cbrt-prod
24×distribute-lft-neg-in distribute-rgt-neg-in
19×distribute-lft-out
18×associate-*r*
17×cbrt-undiv div-exp
14×prod-exp cbrt-unprod
6×pow1 unswap-sqr
4×neg-mul-1 insert-posit16 add-log-exp
3×pow1/3 associate-/r/ div-inv
1×frac-times flip3-+ pow-prod-down associate-*l/ associate-*r/ *-commutative flip-+
Calls
4 calls:
Slowest
95.0ms
(* (/ (* (cbrt t1) (cbrt t1)) (/ (+ t1 u) (- (cbrt t1)))) (/ v (+ t1 u)))
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)

series1.1s

Calls
4 calls:
Slowest
313.0ms
(cbrt t1)
293.0ms
(cbrt t1)
292.0ms
(cbrt t1)
202.0ms
(* (/ (* (cbrt t1) (cbrt t1)) (/ (+ t1 u) (- (cbrt t1)))) (/ v (+ t1 u)))

simplify16.0s

Calls
148 calls:
Slowest
1.2s
(* (/ (* (* (* (cbrt t1) (cbrt t1)) (* (cbrt t1) (cbrt t1))) (* (cbrt t1) (cbrt t1))) (/ (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (- (cbrt t1)) (- (cbrt t1))) (- (cbrt t1))))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
821.0ms
(* (/ (* (* (* (cbrt t1) (cbrt t1)) (* (cbrt t1) (cbrt t1))) (* (cbrt t1) (cbrt t1))) (/ (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (- (cbrt t1)) (- (cbrt t1))) (- (cbrt t1))))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
778.0ms
(* (/ (* (* (* (cbrt t1) (cbrt t1)) (* (cbrt t1) (cbrt t1))) (* (cbrt t1) (cbrt t1))) (* (* (/ (+ t1 u) (- (cbrt t1))) (/ (+ t1 u) (- (cbrt t1)))) (/ (+ t1 u) (- (cbrt t1))))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
689.0ms
(+ (- (log (* (cbrt t1) (cbrt t1))) (- (log (+ t1 u)) (log (- (cbrt t1))))) (- (log v) (log (+ t1 u))))
603.0ms
(+ (- (log (* (cbrt t1) (cbrt t1))) (log (/ (+ t1 u) (- (cbrt t1))))) (log (/ v (+ t1 u))))

prune1.8s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes146.0ms

Accuracy

0% (1.3b remaining)

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

bsearch8.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
919.0ms8232×body80valid