Details

Time bar (total: 47.9s)

sample567.0ms

Algorithm
intervals
Results
36.0ms261×body80valid

simplify480.0ms

Calls
1 calls:
Slowest
479.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 17.6b

localize22.0ms

Local error

Found 2 expressions with local error:

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

rewrite54.0ms

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
29.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
22.0ms
(* (+ t1 u) (+ t1 u))

series138.0ms

Calls
2 calls:
Slowest
121.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
16.0ms
(* (+ t1 u) (+ t1 u))

simplify8.0s

Calls
69 calls:
Slowest
893.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
871.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
844.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
715.0ms
(/ (* (* (* (- t1) (- t1)) (- t1)) (* (* v v) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
340.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune597.0ms

Pruning

5 alts after pruning (5 fresh and 0 done)

Merged error: 0.0b

localize14.0ms

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))

rewrite60.0ms

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
39.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
10.0ms
(/ v (+ t1 u))
9.0ms
(/ (- t1) (+ t1 u))

series261.0ms

Calls
3 calls:
Slowest
160.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
63.0ms
(/ (- t1) (+ t1 u))
38.0ms
(/ v (+ t1 u))

simplify6.2s

Calls
225 calls:
Slowest
465.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
398.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
368.0ms
(/ (* (* v v) v) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
334.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
196.0ms
(+ (- (log (- t1)) (log (+ t1 u))) (log (/ v (+ t1 u))))

prune1.8s

Pruning

5 alts after pruning (4 fresh and 1 done)

Merged error: 0b

localize33.0ms

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))

rewrite101.0ms

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×rec-exp flip3-+ 1-exp pow-prod-down associate-*l/ flip-+ insert-posit16 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
44.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
22.0ms
(* (/ (- t1) (+ t1 u)) v)
21.0ms
(/ (- t1) (+ t1 u))
8.0ms
(/ 1 (+ t1 u))

series392.0ms

Calls
4 calls:
Slowest
172.0ms
(* (* (/ (- t1) (+ t1 u)) v) (/ 1 (+ t1 u)))
115.0ms
(* (/ (- t1) (+ t1 u)) v)
55.0ms
(/ (- t1) (+ t1 u))
50.0ms
(/ 1 (+ t1 u))

simplify12.2s

Calls
248 calls:
Slowest
617.0ms
(* (* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v)) (/ (* (* 1 1) 1) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
588.0ms
(+ (log (* (/ (- t1) (+ t1 u)) v)) (- (log 1) (log (+ t1 u))))
504.0ms
(* (* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) v)) (* (* (/ 1 (+ t1 u)) (/ 1 (+ t1 u))) (/ 1 (+ t1 u))))
455.0ms
(* (* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* v v) v)) (/ (* (* 1 1) 1) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
450.0ms
(+ (+ (- (log (- t1)) (log (+ t1 u))) (log v)) (- (log 1) (log (+ t1 u))))

prune2.7s

Pruning

5 alts after pruning (3 fresh and 2 done)

Merged error: 0b

localize51.0ms

Local error

Found 4 expressions with local error:

1.0b
(* (/ (- t1) (+ t1 u)) (* (* (cbrt v) (cbrt v)) (/ (cbrt v) (+ t1 u))))
0.6b
(cbrt v)
0.6b
(cbrt v)
0.6b
(cbrt v)

rewrite152.0ms

Algorithm
rewrite-expression-head
Rules
50×*-un-lft-identity
46×associate-*l*
45×add-exp-log
40×times-frac
33×add-cbrt-cube
30×add-sqr-sqrt add-cube-cbrt
22×prod-exp cbrt-unprod
13×pow1
12×distribute-lft-neg-in distribute-rgt-neg-in
10×distribute-lft-out
9×cbrt-prod cbrt-undiv div-exp
6×pow-prod-down
4×neg-mul-1 insert-posit16 add-log-exp
3×pow1/3 associate-*r/
2×associate-/r/
1×distribute-lft-neg-out frac-times flip3-+ associate-*r* associate-*l/ distribute-frac-neg *-commutative flip-+ div-inv
Calls
4 calls:
Slowest
145.0ms
(* (/ (- t1) (+ t1 u)) (* (* (cbrt v) (cbrt v)) (/ (cbrt v) (+ t1 u))))
1.0ms
(cbrt v)
1.0ms
(cbrt v)
1.0ms
(cbrt v)

series1.0s

Calls
4 calls:
Slowest
296.0ms
(cbrt v)
272.0ms
(cbrt v)
256.0ms
(cbrt v)
192.0ms
(* (/ (- t1) (+ t1 u)) (* (* (cbrt v) (cbrt v)) (/ (cbrt v) (+ t1 u))))

simplify10.8s

Calls
95 calls:
Slowest
699.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (* (* (cbrt v) (cbrt v)) (/ (cbrt v) (+ t1 u))) (* (* (cbrt v) (cbrt v)) (/ (cbrt v) (+ t1 u)))) (* (* (cbrt v) (cbrt v)) (/ (cbrt v) (+ t1 u)))))
669.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (* (* (cbrt v) (cbrt v)) (* (cbrt v) (cbrt v))) (* (cbrt v) (cbrt v))) (* (* (/ (cbrt v) (+ t1 u)) (/ (cbrt v) (+ t1 u))) (/ (cbrt v) (+ t1 u)))))
588.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (* (* (cbrt v) (cbrt v)) (* (cbrt v) (cbrt v))) (* (cbrt v) (cbrt v))) (/ v (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))))
493.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* v v) (* (* (/ (cbrt v) (+ t1 u)) (/ (cbrt v) (+ t1 u))) (/ (cbrt v) (+ t1 u)))))
481.0ms
(+ (log (/ (- t1) (+ t1 u))) (+ (log (* (cbrt v) (cbrt v))) (- (log (cbrt v)) (log (+ t1 u)))))

prune1.3s

Pruning

5 alts after pruning (2 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

bsearch4.0ms

end0.0ms

sample985.0ms

Algorithm
intervals
Results
780.0ms8233×body80valid