Details

Time bar (total: 44.9s)

sample405.0ms

Algorithm
intervals
Results
19.0ms261×body80valid

simplify207.0ms

Calls
1 calls:
Slowest
207.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize15.0ms

Local error

Found 2 expressions with local error:

17.6b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite51.0ms

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
Calls
2 calls:
Slowest
23.0ms
(* (+ t1 u) (+ t1 u))
18.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series143.0ms

Calls
2 calls:
Slowest
127.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
16.0ms
(* (+ t1 u) (+ t1 u))

simplify9.3s

Calls
69 calls:
Slowest
951.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
949.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
835.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
685.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
426.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune848.0ms

Pruning

4 alts after pruning (4 fresh and 0 done)

Merged error: 0.0b

localize13.0ms

Local error

Found 3 expressions with local error:

1.0b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite107.0ms

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×expm1-log1p-u insert-posit16 log1p-expm1-u 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
66.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
19.0ms
(/ (- t1) (+ t1 u))
16.0ms
(/ v (+ t1 u))

series313.0ms

Calls
3 calls:
Slowest
194.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
74.0ms
(/ (- t1) (+ t1 u))
45.0ms
(/ v (+ t1 u))

simplify6.7s

Calls
225 calls:
Slowest
464.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
440.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
371.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
356.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
223.0ms
(+ (- (log (- t1)) (log (+ t1 u))) (- (log v) (log (+ t1 u))))

prune1.8s

Pruning

6 alts after pruning (5 fresh and 1 done)

Merged error: 0b

localize20.0ms

Local error

Found 4 expressions with local error:

2.3b
(* (/ (- t1) (+ t1 u)) v)
0.6b
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
0.0b
(/ 1 (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite100.0ms

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
9×neg-mul-1
8×cbrt-undiv associate-/r* associate-/r/
4×expm1-log1p-u rec-exp flip3-+ 1-exp pow-prod-down associate-*l/ flip-+ insert-posit16 log1p-expm1-u div-inv add-log-exp
3×distribute-lft-neg-out distribute-frac-neg
2×clear-num frac-2neg *-commutative unswap-sqr
1×neg-sub0 frac-times div-sub associate-*r/ un-div-inv pow-flip inv-pow
Calls
4 calls:
Slowest
59.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
20.0ms
(* (/ (- t1) (+ t1 u)) v)
9.0ms
(/ (- t1) (+ t1 u))
8.0ms
(/ 1 (+ t1 u))

series435.0ms

Calls
4 calls:
Slowest
197.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
108.0ms
(* (/ (- t1) (+ t1 u)) v)
70.0ms
(/ (- t1) (+ t1 u))
60.0ms
(/ 1 (+ t1 u))

simplify13.2s

Calls
248 calls:
Slowest
812.0ms
(* (* (* (* (/ (- t1) (+ t1 u)) v) (* (/ (- t1) (+ t1 u)) v)) (* (/ (- t1) (+ t1 u)) v)) (/ (* (* 1 1) 1) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
555.0ms
(+ (log (* (/ (- t1) (+ t1 u)) v)) (- (log 1) (log (+ t1 u))))
552.0ms
(* (* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v)) (/ (* (* 1 1) 1) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
515.0ms
(* (* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* v v) v)) (/ (* (* 1 1) 1) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
511.0ms
(+ (+ (log (/ (- t1) (+ t1 u))) (log v)) (- 0 (log (+ t1 u))))

prune2.3s

Pruning

6 alts after pruning (4 fresh and 2 done)

Merged error: 0b

localize13.0ms

Local error

Found 3 expressions with local error:

2.3b
(* (/ (- t1) (+ t1 u)) v)
0.5b
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite62.0ms

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×expm1-log1p-u flip3-+ associate-*r* flip-+ insert-posit16 log1p-expm1-u 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
29.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
20.0ms
(* (/ (- t1) (+ t1 u)) v)
9.0ms
(/ (- t1) (+ t1 u))

series308.0ms

Calls
3 calls:
Slowest
160.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
94.0ms
(* (/ (- t1) (+ t1 u)) v)
53.0ms
(/ (- t1) (+ t1 u))

simplify5.7s

Calls
187 calls:
Slowest
498.0ms
(/ (* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
425.0ms
(/ (* (* (* (/ (- t1) (+ t1 u)) v) (* (/ (- t1) (+ t1 u)) v)) (* (/ (- t1) (+ t1 u)) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
382.0ms
(/ (* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* v v) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
207.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v))
193.0ms
(- (log (* (/ (- t1) (+ t1 u)) v)) (log (+ t1 u)))

prune1.6s

Pruning

6 alts after pruning (3 fresh and 3 done)

Merged error: 0b

regimes126.0ms

Accuracy

0% (1.2b remaining)

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

bsearch4.0ms

end0.0ms

sample1.1s

Algorithm
intervals
Results
857.0ms8233×body80valid