Details

Time bar (total: 21.4s)

sample160.0ms

Algorithm
intervals
Results
34.0ms267×body80valid

simplify696.0ms

Calls
1 calls:
Slowest
695.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

prune13.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 19.0b

localize34.0ms

Local error

Found 2 expressions with local error:

19.0b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
0.0b
(* (+ t1 u) (+ t1 u))

rewrite45.0ms

Algorithm
rewrite-expression-head
Rules
12×flip3-+ flip-+
9×add-cbrt-cube add-exp-log
8×frac-times associate-/r/
7×pow1
4×add-sqr-sqrt *-un-lft-identity associate-*l/ associate-*r/ add-cube-cbrt
3×associate-*r* associate-*l*
2×cbrt-undiv div-exp prod-exp cbrt-unprod 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 *-commutative pow-prod-up div-inv associate-/l*
Calls
2 calls:
Slowest
32.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
9.0ms
(* (+ t1 u) (+ t1 u))

series96.0ms

Calls
2 calls:
Slowest
80.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))
16.0ms
(* (+ t1 u) (+ t1 u))

simplify5.2s

Calls
48 calls:
Slowest
682.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (* (+ t1 u) (+ t1 u))) (* (+ t1 u) (+ t1 u))))
660.0ms
(/ (* (* (* (- t1) v) (* (- t1) v)) (* (- t1) v)) (* (* (* (+ t1 u) (+ t1 u)) (+ t1 u)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))))
418.0ms
(* (- (* t1 t1) (* u u)) (+ (pow t1 3) (pow u 3)))
353.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))
315.0ms
(* (+ (* t1 t1) (- (* u u) (* t1 u))) (+ (* t1 t1) (- (* u u) (* t1 u))))

prune603.0ms

Pruning

6 alts after pruning (6 fresh and 0 done)

Merged error: 0.0b

localize16.0ms

Local error

Found 3 expressions with local error:

1.9b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
0.0b
(/ (- t1) (+ t1 u))
0.0b
(/ v (+ t1 u))

rewrite22.0ms

Algorithm
rewrite-expression-head
Rules
24×times-frac
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-*l*
10×add-cbrt-cube add-exp-log
8×associate-/r/
7×neg-mul-1
6×associate-/r* associate-*r*
5×pow1
4×flip3-+ flip-+ div-inv associate-/l*
3×insert-posit16 add-log-exp
2×cbrt-undiv clear-num frac-2neg div-exp prod-exp distribute-frac-neg cbrt-unprod
1×distribute-lft-neg-out neg-sub0 frac-times div-sub pow-prod-down associate-*l/ associate-*r/ *-commutative
Calls
3 calls:
Slowest
12.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
6.0ms
(/ (- t1) (+ t1 u))
1.0ms
(/ v (+ t1 u))

series121.0ms

Calls
3 calls:
Slowest
79.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))
25.0ms
(/ (- t1) (+ t1 u))
17.0ms
(/ v (+ t1 u))

simplify2.4s

Calls
82 calls:
Slowest
368.0ms
(* (/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
181.0ms
(* (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (/ (- t1) (+ t1 u))) (* (* (/ v (+ t1 u)) (/ v (+ t1 u))) (/ v (+ t1 u))))
155.0ms
(+ (log (/ (- t1) (+ t1 u))) (log (/ v (+ t1 u))))
143.0ms
(+ (- (log (- t1)) (log (+ t1 u))) (log (/ v (+ t1 u))))
142.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

prune913.0ms

Pruning

9 alts after pruning (8 fresh and 1 done)

Merged error: 0b

localize11.0ms

Local error

Found 3 expressions with local error:

2.1b
(* (/ (- t1) (+ t1 u)) v)
0.8b
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))

rewrite29.0ms

Algorithm
rewrite-expression-head
Rules
27×times-frac
22×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
18×associate-*l*
7×neg-mul-1 add-cbrt-cube add-exp-log
6×associate-/r* associate-/r/
5×associate-/l*
4×distribute-frac-neg
3×pow1 flip3-+ flip-+ insert-posit16 div-inv add-log-exp
2×distribute-lft-neg-out cbrt-undiv clear-num frac-2neg div-exp associate-*l/
1×neg-sub0 div-sub *-commutative associate-/l/
Calls
3 calls:
Slowest
14.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
10.0ms
(* (/ (- t1) (+ t1 u)) v)
4.0ms
(/ (- t1) (+ t1 u))

series150.0ms

Calls
3 calls:
Slowest
72.0ms
(/ (* (/ (- t1) (+ t1 u)) v) (+ t1 u))
44.0ms
(* (/ (- t1) (+ t1 u)) v)
33.0ms
(/ (- t1) (+ t1 u))

simplify1.8s

Calls
79 calls:
Slowest
339.0ms
(/ (* (* (* (/ (- t1) (+ t1 u)) v) (* (/ (- t1) (+ t1 u)) v)) (* (/ (- t1) (+ t1 u)) v)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
199.0ms
(- (log (* (/ (- t1) (+ t1 u)) v)) (log (+ t1 u)))
132.0ms
(/ (* (* (- t1) (- t1)) (- t1)) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
117.0ms
(/ (- t1) (- (* t1 t1) (* u u)))
100.0ms
(/ (* (/ t1 (+ t1 u)) v) (+ t1 u))

prune875.0ms

Pruning

9 alts after pruning (7 fresh and 2 done)

Merged error: 0b

localize30.0ms

Local error

Found 4 expressions with local error:

8.6b
(cbrt (/ (- t1) (+ t1 u)))
8.6b
(cbrt (/ (- t1) (+ t1 u)))
8.6b
(cbrt (/ (- t1) (+ t1 u)))
0.8b
(/ (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (- t1) (+ t1 u))) v)) (+ t1 u))

rewrite35.0ms

Algorithm
rewrite-expression-head
Rules
54×cbrt-prod
39×times-frac
30×add-sqr-sqrt *-un-lft-identity add-cube-cbrt
15×cbrt-div
13×add-exp-log
11×add-cbrt-cube
9×neg-mul-1 associate-*l/
8×associate-/r/
7×associate-/l/
5×frac-times
4×pow1 flip3-+ flip-+ insert-posit16 div-inv add-log-exp
3×cbrt-undiv associate-/r* pow1/3 div-exp prod-exp associate-*r/ cbrt-unprod
1×clear-num frac-2neg associate-/l*
Calls
4 calls:
Slowest
25.0ms
(/ (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (- t1) (+ t1 u))) v)) (+ t1 u))
3.0ms
(cbrt (/ (- t1) (+ t1 u)))
3.0ms
(cbrt (/ (- t1) (+ t1 u)))
3.0ms
(cbrt (/ (- t1) (+ t1 u)))

series792.0ms

Calls
4 calls:
Slowest
220.0ms
(cbrt (/ (- t1) (+ t1 u)))
208.0ms
(cbrt (/ (- t1) (+ t1 u)))
203.0ms
(cbrt (/ (- t1) (+ t1 u)))
161.0ms
(/ (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (- t1) (+ t1 u))) v)) (+ t1 u))

simplify4.7s

Calls
94 calls:
Slowest
745.0ms
(/ (* (* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (- t1) (+ t1 u))) v)) (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (- t1) (+ t1 u))) v))) (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (- t1) (+ t1 u))) v))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
527.0ms
(/ (* (* (/ (- t1) (+ t1 u)) (/ (- t1) (+ t1 u))) (* (* (* (cbrt (/ (- t1) (+ t1 u))) v) (* (cbrt (/ (- t1) (+ t1 u))) v)) (* (cbrt (/ (- t1) (+ t1 u))) v))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
506.0ms
(/ (* (* (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u))))) (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u))))) (* (* (* (cbrt (/ (- t1) (+ t1 u))) v) (* (cbrt (/ (- t1) (+ t1 u))) v)) (* (cbrt (/ (- t1) (+ t1 u))) v))) (* (* (+ t1 u) (+ t1 u)) (+ t1 u)))
236.0ms
(- (log (* (* (cbrt (/ (- t1) (+ t1 u))) (cbrt (/ (- t1) (+ t1 u)))) (* (cbrt (/ (- t1) (+ t1 u))) v))) (log (+ t1 u)))
224.0ms
(- (+ (+ (log (cbrt (/ (- t1) (+ t1 u)))) (log (cbrt (/ (- t1) (+ t1 u))))) (log (* (cbrt (/ (- t1) (+ t1 u))) v))) (log (+ t1 u)))

prune1.5s

Pruning

8 alts after pruning (6 fresh and 2 done)

Merged error: 0b

regimes208.0ms

Accuracy

0% (1.2b remaining)

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

bsearch4.0ms

end0.0ms

sample910.0ms

Algorithm
intervals
Results
694.0ms8263×body80valid